{-# 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.Lattice.Bundles where

import MAlonzo.RTE (coe, erased, AgdaAny, addInt, subInt, mulInt,
                    quotInt, remInt, geqInt, ltInt, eqInt, add64, sub64, mul64, quot64,
                    rem64, lt64, eq64, word64FromNat, word64ToNat)
import qualified MAlonzo.RTE
import qualified Data.Text
import qualified MAlonzo.Code.Agda.Builtin.Equality
import qualified MAlonzo.Code.Agda.Builtin.Sigma
import qualified MAlonzo.Code.Agda.Primitive
import qualified MAlonzo.Code.Relation.Binary.Bundles
import qualified MAlonzo.Code.Relation.Binary.Lattice.Structures
import qualified MAlonzo.Code.Relation.Binary.Structures

-- Relation.Binary.Lattice.Bundles.JoinSemilattice
d_JoinSemilattice_14 :: p -> p -> p -> ()
d_JoinSemilattice_14 p
a0 p
a1 p
a2 = ()
data T_JoinSemilattice_14
  = C_constructor_96 (AgdaAny -> AgdaAny -> AgdaAny)
                     MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsJoinSemilattice_22
-- Relation.Binary.Lattice.Bundles.JoinSemilattice.Carrier
d_Carrier_32 :: T_JoinSemilattice_14 -> ()
d_Carrier_32 :: T_JoinSemilattice_14 -> ()
d_Carrier_32 = T_JoinSemilattice_14 -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._≈_
d__'8776'__34 :: T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> ()
d__'8776'__34 :: T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> ()
d__'8776'__34 = T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._≤_
d__'8804'__36 :: T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> ()
d__'8804'__36 :: T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> ()
d__'8804'__36 = T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._∨_
d__'8744'__38 ::
  T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__38 :: T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__38 T_JoinSemilattice_14
v0
  = case T_JoinSemilattice_14 -> T_JoinSemilattice_14
forall a b. a -> b
coe T_JoinSemilattice_14
v0 of
      C_constructor_96 AgdaAny -> AgdaAny -> AgdaAny
v4 T_IsJoinSemilattice_22
v5 -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v4
      T_JoinSemilattice_14
_ -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.JoinSemilattice.isJoinSemilattice
d_isJoinSemilattice_40 ::
  T_JoinSemilattice_14 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsJoinSemilattice_22
d_isJoinSemilattice_40 :: T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 T_JoinSemilattice_14
v0
  = case T_JoinSemilattice_14 -> T_JoinSemilattice_14
forall a b. a -> b
coe T_JoinSemilattice_14
v0 of
      C_constructor_96 AgdaAny -> AgdaAny -> AgdaAny
v4 T_IsJoinSemilattice_22
v5 -> T_IsJoinSemilattice_22 -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_IsJoinSemilattice_22
v5
      T_JoinSemilattice_14
_ -> T_IsJoinSemilattice_22
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.antisym
d_antisym_44 ::
  T_JoinSemilattice_14 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_44 :: T_JoinSemilattice_14
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_44 T_JoinSemilattice_14
v0
  = (T_IsPartialOrder_248
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_258
      ((T_IsJoinSemilattice_22 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
         ((T_JoinSemilattice_14 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14
v0)))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.isEquivalence
d_isEquivalence_46 ::
  T_JoinSemilattice_14 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_46 :: T_JoinSemilattice_14 -> T_IsEquivalence_28
d_isEquivalence_46 T_JoinSemilattice_14
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsJoinSemilattice_22 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
            ((T_JoinSemilattice_14 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14
v0))))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.isPartialOrder
d_isPartialOrder_48 ::
  T_JoinSemilattice_14 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_248
d_isPartialOrder_48 :: T_JoinSemilattice_14 -> T_IsPartialOrder_248
d_isPartialOrder_48 T_JoinSemilattice_14
v0
  = (T_IsJoinSemilattice_22 -> T_IsPartialOrder_248)
-> AgdaAny -> T_IsPartialOrder_248
forall a b. a -> b
coe
      T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
      ((T_JoinSemilattice_14 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14
v0))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.isPreorder
d_isPreorder_50 ::
  T_JoinSemilattice_14 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
d_isPreorder_50 :: T_JoinSemilattice_14 -> T_IsPreorder_76
d_isPreorder_50 T_JoinSemilattice_14
v0
  = (T_IsPartialOrder_248 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
      T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
      ((T_IsJoinSemilattice_22 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
         ((T_JoinSemilattice_14 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14
v0)))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.refl
d_refl_52 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_JoinSemilattice_14 -> AgdaAny -> AgdaAny
d_refl_52 :: () -> () -> () -> T_JoinSemilattice_14 -> AgdaAny -> AgdaAny
d_refl_52 ~()
v0 ~()
v1 ~()
v2 T_JoinSemilattice_14
v3 = T_JoinSemilattice_14 -> AgdaAny -> AgdaAny
du_refl_52 T_JoinSemilattice_14
v3
du_refl_52 :: T_JoinSemilattice_14 -> AgdaAny -> AgdaAny
du_refl_52 :: T_JoinSemilattice_14 -> AgdaAny -> AgdaAny
du_refl_52 T_JoinSemilattice_14
v0
  = let v1 :: T_IsJoinSemilattice_22
v1 = T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> T_JoinSemilattice_14
forall a b. a -> b
coe T_JoinSemilattice_14
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
                 (T_IsJoinSemilattice_22 -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_IsJoinSemilattice_22
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_104
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.reflexive
d_reflexive_54 ::
  T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_54 :: T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_54 T_JoinSemilattice_14
v0
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_88
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsJoinSemilattice_22 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
            ((T_JoinSemilattice_14 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14
v0))))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.supremum
d_supremum_56 ::
  T_JoinSemilattice_14 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_supremum_56 :: T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> T_Σ_14
d_supremum_56 T_JoinSemilattice_14
v0
  = (T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_supremum_32
      ((T_JoinSemilattice_14 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14
v0))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.trans
d_trans_58 ::
  T_JoinSemilattice_14 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_58 :: T_JoinSemilattice_14
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_58 T_JoinSemilattice_14
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsJoinSemilattice_22 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
            ((T_JoinSemilattice_14 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14
v0))))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.x≤x∨y
d_x'8804'x'8744'y_60 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'x'8744'y_60 :: ()
-> ()
-> ()
-> T_JoinSemilattice_14
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'x'8744'y_60 ~()
v0 ~()
v1 ~()
v2 T_JoinSemilattice_14
v3 = T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_60 T_JoinSemilattice_14
v3
du_x'8804'x'8744'y_60 ::
  T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_60 :: T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_60 T_JoinSemilattice_14
v0
  = (T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8804'x'8744'y_38
      ((T_JoinSemilattice_14 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14
v0))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.y≤x∨y
d_y'8804'x'8744'y_62 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> AgdaAny
d_y'8804'x'8744'y_62 :: ()
-> ()
-> ()
-> T_JoinSemilattice_14
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_y'8804'x'8744'y_62 ~()
v0 ~()
v1 ~()
v2 T_JoinSemilattice_14
v3 = T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_62 T_JoinSemilattice_14
v3
du_y'8804'x'8744'y_62 ::
  T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_62 :: T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_62 T_JoinSemilattice_14
v0
  = (T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_y'8804'x'8744'y_50
      ((T_JoinSemilattice_14 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14
v0))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.∨-least
d_'8744''45'least_64 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_JoinSemilattice_14 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8744''45'least_64 :: ()
-> ()
-> ()
-> T_JoinSemilattice_14
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8744''45'least_64 ~()
v0 ~()
v1 ~()
v2 T_JoinSemilattice_14
v3 = T_JoinSemilattice_14
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_64 T_JoinSemilattice_14
v3
du_'8744''45'least_64 ::
  T_JoinSemilattice_14 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_64 :: T_JoinSemilattice_14
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_64 T_JoinSemilattice_14
v0
  = (T_IsJoinSemilattice_22
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsJoinSemilattice_22
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_'8744''45'least_64
      ((T_JoinSemilattice_14 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14
v0))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.∼-resp-≈
d_'8764''45'resp'45''8776'_66 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_JoinSemilattice_14 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_66 :: () -> () -> () -> T_JoinSemilattice_14 -> T_Σ_14
d_'8764''45'resp'45''8776'_66 ~()
v0 ~()
v1 ~()
v2 T_JoinSemilattice_14
v3
  = T_JoinSemilattice_14 -> T_Σ_14
du_'8764''45'resp'45''8776'_66 T_JoinSemilattice_14
v3
du_'8764''45'resp'45''8776'_66 ::
  T_JoinSemilattice_14 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_66 :: T_JoinSemilattice_14 -> T_Σ_14
du_'8764''45'resp'45''8776'_66 T_JoinSemilattice_14
v0
  = let v1 :: T_IsJoinSemilattice_22
v1 = T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> T_JoinSemilattice_14
forall a b. a -> b
coe T_JoinSemilattice_14
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
                 (T_IsJoinSemilattice_22 -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_IsJoinSemilattice_22
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_124
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_68 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_JoinSemilattice_14 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_68 :: ()
-> ()
-> ()
-> T_JoinSemilattice_14
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_68 ~()
v0 ~()
v1 ~()
v2 T_JoinSemilattice_14
v3
  = T_JoinSemilattice_14
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_68 T_JoinSemilattice_14
v3
du_'8764''45'resp'691''45''8776'_68 ::
  T_JoinSemilattice_14 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_68 :: T_JoinSemilattice_14
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_68 T_JoinSemilattice_14
v0
  = let v1 :: T_IsJoinSemilattice_22
v1 = T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> T_JoinSemilattice_14
forall a b. a -> b
coe T_JoinSemilattice_14
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
                 (T_IsJoinSemilattice_22 -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_IsJoinSemilattice_22
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_122
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_70 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_JoinSemilattice_14 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_70 :: ()
-> ()
-> ()
-> T_JoinSemilattice_14
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_70 ~()
v0 ~()
v1 ~()
v2 T_JoinSemilattice_14
v3
  = T_JoinSemilattice_14
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_70 T_JoinSemilattice_14
v3
du_'8764''45'resp'737''45''8776'_70 ::
  T_JoinSemilattice_14 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_70 :: T_JoinSemilattice_14
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_70 T_JoinSemilattice_14
v0
  = let v1 :: T_IsJoinSemilattice_22
v1 = T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> T_JoinSemilattice_14
forall a b. a -> b
coe T_JoinSemilattice_14
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
                 (T_IsJoinSemilattice_22 -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_IsJoinSemilattice_22
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_120
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.≲-resp-≈
d_'8818''45'resp'45''8776'_72 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_JoinSemilattice_14 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_72 :: () -> () -> () -> T_JoinSemilattice_14 -> T_Σ_14
d_'8818''45'resp'45''8776'_72 ~()
v0 ~()
v1 ~()
v2 T_JoinSemilattice_14
v3
  = T_JoinSemilattice_14 -> T_Σ_14
du_'8818''45'resp'45''8776'_72 T_JoinSemilattice_14
v3
du_'8818''45'resp'45''8776'_72 ::
  T_JoinSemilattice_14 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_72 :: T_JoinSemilattice_14 -> T_Σ_14
du_'8818''45'resp'45''8776'_72 T_JoinSemilattice_14
v0
  = let v1 :: T_IsJoinSemilattice_22
v1 = T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> T_JoinSemilattice_14
forall a b. a -> b
coe T_JoinSemilattice_14
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
                 (T_IsJoinSemilattice_22 -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_IsJoinSemilattice_22
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_118
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_74 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_JoinSemilattice_14 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_74 :: ()
-> ()
-> ()
-> T_JoinSemilattice_14
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_74 ~()
v0 ~()
v1 ~()
v2 T_JoinSemilattice_14
v3
  = T_JoinSemilattice_14
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_74 T_JoinSemilattice_14
v3
du_'8818''45'resp'691''45''8776'_74 ::
  T_JoinSemilattice_14 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_74 :: T_JoinSemilattice_14
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_74 T_JoinSemilattice_14
v0
  = let v1 :: T_IsJoinSemilattice_22
v1 = T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> T_JoinSemilattice_14
forall a b. a -> b
coe T_JoinSemilattice_14
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
                 (T_IsJoinSemilattice_22 -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_IsJoinSemilattice_22
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_112
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_76 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_JoinSemilattice_14 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_76 :: ()
-> ()
-> ()
-> T_JoinSemilattice_14
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_76 ~()
v0 ~()
v1 ~()
v2 T_JoinSemilattice_14
v3
  = T_JoinSemilattice_14
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_76 T_JoinSemilattice_14
v3
du_'8818''45'resp'737''45''8776'_76 ::
  T_JoinSemilattice_14 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_76 :: T_JoinSemilattice_14
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_76 T_JoinSemilattice_14
v0
  = let v1 :: T_IsJoinSemilattice_22
v1 = T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> T_JoinSemilattice_14
forall a b. a -> b
coe T_JoinSemilattice_14
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
                 (T_IsJoinSemilattice_22 -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_IsJoinSemilattice_22
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.Eq.isPartialEquivalence
d_isPartialEquivalence_80 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_JoinSemilattice_14 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_80 :: () -> () -> () -> T_JoinSemilattice_14 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_80 ~()
v0 ~()
v1 ~()
v2 T_JoinSemilattice_14
v3
  = T_JoinSemilattice_14 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_80 T_JoinSemilattice_14
v3
du_isPartialEquivalence_80 ::
  T_JoinSemilattice_14 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_80 :: T_JoinSemilattice_14 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_80 T_JoinSemilattice_14
v0
  = let v1 :: T_IsJoinSemilattice_22
v1 = T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> T_JoinSemilattice_14
forall a b. a -> b
coe T_JoinSemilattice_14
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
                 (T_IsJoinSemilattice_22 -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_IsJoinSemilattice_22
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPreorder_76
v3
                = T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                    (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
               ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                  (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v3)))))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.Eq.refl
d_refl_82 :: T_JoinSemilattice_14 -> AgdaAny -> AgdaAny
d_refl_82 :: T_JoinSemilattice_14 -> AgdaAny -> AgdaAny
d_refl_82 T_JoinSemilattice_14
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsJoinSemilattice_22 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
               ((T_JoinSemilattice_14 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14
v0)))))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.Eq.reflexive
d_reflexive_84 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_JoinSemilattice_14 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_84 :: ()
-> ()
-> ()
-> T_JoinSemilattice_14
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_84 ~()
v0 ~()
v1 ~()
v2 T_JoinSemilattice_14
v3 = T_JoinSemilattice_14
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_84 T_JoinSemilattice_14
v3
du_reflexive_84 ::
  T_JoinSemilattice_14 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_84 :: T_JoinSemilattice_14
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_84 T_JoinSemilattice_14
v0
  = let v1 :: T_IsJoinSemilattice_22
v1 = T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> T_JoinSemilattice_14
forall a b. a -> b
coe T_JoinSemilattice_14
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
                 (T_IsJoinSemilattice_22 -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_IsJoinSemilattice_22
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPreorder_76
v3
                = T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                    (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v2) in
          (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
            (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
               (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
                 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                    (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v3))
                 AgdaAny
v4)))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.Eq.sym
d_sym_86 ::
  T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_86 :: T_JoinSemilattice_14 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_86 T_JoinSemilattice_14
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsJoinSemilattice_22 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
               ((T_JoinSemilattice_14 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14
v0)))))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.Eq.trans
d_trans_88 ::
  T_JoinSemilattice_14 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_88 :: T_JoinSemilattice_14
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_88 T_JoinSemilattice_14
v0
  = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsJoinSemilattice_22 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
               ((T_JoinSemilattice_14 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14
v0)))))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice.poset
d_poset_90 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_JoinSemilattice_14 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_492
d_poset_90 :: () -> () -> () -> T_JoinSemilattice_14 -> T_Poset_492
d_poset_90 ~()
v0 ~()
v1 ~()
v2 T_JoinSemilattice_14
v3 = T_JoinSemilattice_14 -> T_Poset_492
du_poset_90 T_JoinSemilattice_14
v3
du_poset_90 ::
  T_JoinSemilattice_14 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_492
du_poset_90 :: T_JoinSemilattice_14 -> T_Poset_492
du_poset_90 T_JoinSemilattice_14
v0
  = (T_IsPartialOrder_248 -> T_Poset_492)
-> T_IsPartialOrder_248 -> T_Poset_492
forall a b. a -> b
coe
      T_IsPartialOrder_248 -> T_Poset_492
MAlonzo.Code.Relation.Binary.Bundles.C_constructor_588
      (T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
         ((T_JoinSemilattice_14 -> T_IsJoinSemilattice_22)
-> AgdaAny -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_40 (T_JoinSemilattice_14 -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14
v0)))
-- Relation.Binary.Lattice.Bundles.JoinSemilattice._.preorder
d_preorder_94 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_JoinSemilattice_14 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_142
d_preorder_94 :: () -> () -> () -> T_JoinSemilattice_14 -> T_Preorder_142
d_preorder_94 ~()
v0 ~()
v1 ~()
v2 T_JoinSemilattice_14
v3 = T_JoinSemilattice_14 -> T_Preorder_142
du_preorder_94 T_JoinSemilattice_14
v3
du_preorder_94 ::
  T_JoinSemilattice_14 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_142
du_preorder_94 :: T_JoinSemilattice_14 -> T_Preorder_142
du_preorder_94 T_JoinSemilattice_14
v0
  = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> T_Preorder_142
forall a b. a -> b
coe
      T_Poset_492 -> T_Preorder_142
MAlonzo.Code.Relation.Binary.Bundles.du_preorder_522
      ((T_JoinSemilattice_14 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_Poset_492
du_poset_90 (T_JoinSemilattice_14 -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14
v0))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice
d_BoundedJoinSemilattice_104 :: p -> p -> p -> ()
d_BoundedJoinSemilattice_104 p
a0 p
a1 p
a2 = ()
data T_BoundedJoinSemilattice_104
  = C_constructor_196 (AgdaAny -> AgdaAny -> AgdaAny) AgdaAny
                      MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedJoinSemilattice_118
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice.Carrier
d_Carrier_124 :: T_BoundedJoinSemilattice_104 -> ()
d_Carrier_124 :: T_BoundedJoinSemilattice_104 -> ()
d_Carrier_124 = T_BoundedJoinSemilattice_104 -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._≈_
d__'8776'__126 ::
  T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny -> ()
d__'8776'__126 :: T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny -> ()
d__'8776'__126 = T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._≤_
d__'8804'__128 ::
  T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny -> ()
d__'8804'__128 :: T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny -> ()
d__'8804'__128 = T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._∨_
d__'8744'__130 ::
  T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__130 :: T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__130 T_BoundedJoinSemilattice_104
v0
  = case T_BoundedJoinSemilattice_104 -> T_BoundedJoinSemilattice_104
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0 of
      C_constructor_196 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 T_IsBoundedJoinSemilattice_118
v6 -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v4
      T_BoundedJoinSemilattice_104
_ -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice.⊥
d_'8869'_132 :: T_BoundedJoinSemilattice_104 -> AgdaAny
d_'8869'_132 :: T_BoundedJoinSemilattice_104 -> AgdaAny
d_'8869'_132 T_BoundedJoinSemilattice_104
v0
  = case T_BoundedJoinSemilattice_104 -> T_BoundedJoinSemilattice_104
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0 of
      C_constructor_196 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 T_IsBoundedJoinSemilattice_118
v6 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5
      T_BoundedJoinSemilattice_104
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice.isBoundedJoinSemilattice
d_isBoundedJoinSemilattice_134 ::
  T_BoundedJoinSemilattice_104 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 :: T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 T_BoundedJoinSemilattice_104
v0
  = case T_BoundedJoinSemilattice_104 -> T_BoundedJoinSemilattice_104
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0 of
      C_constructor_196 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 T_IsBoundedJoinSemilattice_118
v6 -> T_IsBoundedJoinSemilattice_118 -> T_IsBoundedJoinSemilattice_118
forall a b. a -> b
coe T_IsBoundedJoinSemilattice_118
v6
      T_BoundedJoinSemilattice_104
_ -> T_IsBoundedJoinSemilattice_118
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.antisym
d_antisym_138 ::
  T_BoundedJoinSemilattice_104 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_138 :: T_BoundedJoinSemilattice_104
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_138 T_BoundedJoinSemilattice_104
v0
  = (T_IsPartialOrder_248
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_258
      ((T_IsJoinSemilattice_22 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
         ((T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
            ((T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0))))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.isEquivalence
d_isEquivalence_140 ::
  T_BoundedJoinSemilattice_104 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_140 :: T_BoundedJoinSemilattice_104 -> T_IsEquivalence_28
d_isEquivalence_140 T_BoundedJoinSemilattice_104
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsJoinSemilattice_22 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
            ((T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
               ((T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0)))))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.isJoinSemilattice
d_isJoinSemilattice_142 ::
  T_BoundedJoinSemilattice_104 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsJoinSemilattice_22
d_isJoinSemilattice_142 :: T_BoundedJoinSemilattice_104 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_142 T_BoundedJoinSemilattice_104
v0
  = (T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22)
-> AgdaAny -> T_IsJoinSemilattice_22
forall a b. a -> b
coe
      T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
      ((T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.isPartialOrder
d_isPartialOrder_144 ::
  T_BoundedJoinSemilattice_104 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_248
d_isPartialOrder_144 :: T_BoundedJoinSemilattice_104 -> T_IsPartialOrder_248
d_isPartialOrder_144 T_BoundedJoinSemilattice_104
v0
  = (T_IsJoinSemilattice_22 -> T_IsPartialOrder_248)
-> AgdaAny -> T_IsPartialOrder_248
forall a b. a -> b
coe
      T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
      ((T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
         ((T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0)))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.isPreorder
d_isPreorder_146 ::
  T_BoundedJoinSemilattice_104 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
d_isPreorder_146 :: T_BoundedJoinSemilattice_104 -> T_IsPreorder_76
d_isPreorder_146 T_BoundedJoinSemilattice_104
v0
  = (T_IsPartialOrder_248 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
      T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
      ((T_IsJoinSemilattice_22 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
         ((T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
            ((T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0))))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.minimum
d_minimum_148 :: T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny
d_minimum_148 :: T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny
d_minimum_148 T_BoundedJoinSemilattice_104
v0
  = (T_IsBoundedJoinSemilattice_118 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsBoundedJoinSemilattice_118 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_minimum_130
      ((T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.refl
d_refl_150 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny
d_refl_150 :: ()
-> () -> () -> T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny
d_refl_150 ~()
v0 ~()
v1 ~()
v2 T_BoundedJoinSemilattice_104
v3 = T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny
du_refl_150 T_BoundedJoinSemilattice_104
v3
du_refl_150 :: T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny
du_refl_150 :: T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny
du_refl_150 T_BoundedJoinSemilattice_104
v0
  = let v1 :: T_IsBoundedJoinSemilattice_118
v1 = T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> T_BoundedJoinSemilattice_104
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsJoinSemilattice_22
v2
             = T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
                 (T_IsBoundedJoinSemilattice_118 -> T_IsBoundedJoinSemilattice_118
forall a b. a -> b
coe T_IsBoundedJoinSemilattice_118
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
                    (T_IsJoinSemilattice_22 -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_IsJoinSemilattice_22
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_104
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.reflexive
d_reflexive_152 ::
  T_BoundedJoinSemilattice_104 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_152 :: T_BoundedJoinSemilattice_104
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_152 T_BoundedJoinSemilattice_104
v0
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_88
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsJoinSemilattice_22 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
            ((T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
               ((T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0)))))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.supremum
d_supremum_154 ::
  T_BoundedJoinSemilattice_104 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_supremum_154 :: T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny -> T_Σ_14
d_supremum_154 T_BoundedJoinSemilattice_104
v0
  = (T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_supremum_32
      ((T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
         ((T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0)))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.trans
d_trans_156 ::
  T_BoundedJoinSemilattice_104 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_156 :: T_BoundedJoinSemilattice_104
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_156 T_BoundedJoinSemilattice_104
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsJoinSemilattice_22 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
            ((T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
               ((T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0)))))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.x≤x∨y
d_x'8804'x'8744'y_158 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'x'8744'y_158 :: ()
-> ()
-> ()
-> T_BoundedJoinSemilattice_104
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'x'8744'y_158 ~()
v0 ~()
v1 ~()
v2 T_BoundedJoinSemilattice_104
v3 = T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_158 T_BoundedJoinSemilattice_104
v3
du_x'8804'x'8744'y_158 ::
  T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_158 :: T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_158 T_BoundedJoinSemilattice_104
v0
  = let v1 :: T_IsBoundedJoinSemilattice_118
v1 = T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> T_BoundedJoinSemilattice_104
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8804'x'8744'y_38
         ((T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
            (T_IsBoundedJoinSemilattice_118 -> AgdaAny
forall a b. a -> b
coe T_IsBoundedJoinSemilattice_118
v1)))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.y≤x∨y
d_y'8804'x'8744'y_160 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny -> AgdaAny
d_y'8804'x'8744'y_160 :: ()
-> ()
-> ()
-> T_BoundedJoinSemilattice_104
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_y'8804'x'8744'y_160 ~()
v0 ~()
v1 ~()
v2 T_BoundedJoinSemilattice_104
v3 = T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_160 T_BoundedJoinSemilattice_104
v3
du_y'8804'x'8744'y_160 ::
  T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_160 :: T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_160 T_BoundedJoinSemilattice_104
v0
  = let v1 :: T_IsBoundedJoinSemilattice_118
v1 = T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> T_BoundedJoinSemilattice_104
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_y'8804'x'8744'y_50
         ((T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
            (T_IsBoundedJoinSemilattice_118 -> AgdaAny
forall a b. a -> b
coe T_IsBoundedJoinSemilattice_118
v1)))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.∨-least
d_'8744''45'least_162 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedJoinSemilattice_104 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8744''45'least_162 :: ()
-> ()
-> ()
-> T_BoundedJoinSemilattice_104
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8744''45'least_162 ~()
v0 ~()
v1 ~()
v2 T_BoundedJoinSemilattice_104
v3 = T_BoundedJoinSemilattice_104
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_162 T_BoundedJoinSemilattice_104
v3
du_'8744''45'least_162 ::
  T_BoundedJoinSemilattice_104 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_162 :: T_BoundedJoinSemilattice_104
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_162 T_BoundedJoinSemilattice_104
v0
  = let v1 :: T_IsBoundedJoinSemilattice_118
v1 = T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> T_BoundedJoinSemilattice_104
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsJoinSemilattice_22
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsJoinSemilattice_22
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_'8744''45'least_64
         ((T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
            (T_IsBoundedJoinSemilattice_118 -> AgdaAny
forall a b. a -> b
coe T_IsBoundedJoinSemilattice_118
v1)))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.∼-resp-≈
d_'8764''45'resp'45''8776'_164 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedJoinSemilattice_104 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_164 :: () -> () -> () -> T_BoundedJoinSemilattice_104 -> T_Σ_14
d_'8764''45'resp'45''8776'_164 ~()
v0 ~()
v1 ~()
v2 T_BoundedJoinSemilattice_104
v3
  = T_BoundedJoinSemilattice_104 -> T_Σ_14
du_'8764''45'resp'45''8776'_164 T_BoundedJoinSemilattice_104
v3
du_'8764''45'resp'45''8776'_164 ::
  T_BoundedJoinSemilattice_104 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_164 :: T_BoundedJoinSemilattice_104 -> T_Σ_14
du_'8764''45'resp'45''8776'_164 T_BoundedJoinSemilattice_104
v0
  = let v1 :: T_IsBoundedJoinSemilattice_118
v1 = T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> T_BoundedJoinSemilattice_104
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsJoinSemilattice_22
v2
             = T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
                 (T_IsBoundedJoinSemilattice_118 -> T_IsBoundedJoinSemilattice_118
forall a b. a -> b
coe T_IsBoundedJoinSemilattice_118
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
                    (T_IsJoinSemilattice_22 -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_IsJoinSemilattice_22
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_124
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_166 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedJoinSemilattice_104 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_166 :: ()
-> ()
-> ()
-> T_BoundedJoinSemilattice_104
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_166 ~()
v0 ~()
v1 ~()
v2 T_BoundedJoinSemilattice_104
v3
  = T_BoundedJoinSemilattice_104
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_166 T_BoundedJoinSemilattice_104
v3
du_'8764''45'resp'691''45''8776'_166 ::
  T_BoundedJoinSemilattice_104 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_166 :: T_BoundedJoinSemilattice_104
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_166 T_BoundedJoinSemilattice_104
v0
  = let v1 :: T_IsBoundedJoinSemilattice_118
v1 = T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> T_BoundedJoinSemilattice_104
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsJoinSemilattice_22
v2
             = T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
                 (T_IsBoundedJoinSemilattice_118 -> T_IsBoundedJoinSemilattice_118
forall a b. a -> b
coe T_IsBoundedJoinSemilattice_118
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
                    (T_IsJoinSemilattice_22 -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_IsJoinSemilattice_22
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_122
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_168 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedJoinSemilattice_104 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_168 :: ()
-> ()
-> ()
-> T_BoundedJoinSemilattice_104
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_168 ~()
v0 ~()
v1 ~()
v2 T_BoundedJoinSemilattice_104
v3
  = T_BoundedJoinSemilattice_104
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_168 T_BoundedJoinSemilattice_104
v3
du_'8764''45'resp'737''45''8776'_168 ::
  T_BoundedJoinSemilattice_104 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_168 :: T_BoundedJoinSemilattice_104
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_168 T_BoundedJoinSemilattice_104
v0
  = let v1 :: T_IsBoundedJoinSemilattice_118
v1 = T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> T_BoundedJoinSemilattice_104
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsJoinSemilattice_22
v2
             = T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
                 (T_IsBoundedJoinSemilattice_118 -> T_IsBoundedJoinSemilattice_118
forall a b. a -> b
coe T_IsBoundedJoinSemilattice_118
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
                    (T_IsJoinSemilattice_22 -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_IsJoinSemilattice_22
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_120
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.≲-resp-≈
d_'8818''45'resp'45''8776'_170 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedJoinSemilattice_104 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_170 :: () -> () -> () -> T_BoundedJoinSemilattice_104 -> T_Σ_14
d_'8818''45'resp'45''8776'_170 ~()
v0 ~()
v1 ~()
v2 T_BoundedJoinSemilattice_104
v3
  = T_BoundedJoinSemilattice_104 -> T_Σ_14
du_'8818''45'resp'45''8776'_170 T_BoundedJoinSemilattice_104
v3
du_'8818''45'resp'45''8776'_170 ::
  T_BoundedJoinSemilattice_104 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_170 :: T_BoundedJoinSemilattice_104 -> T_Σ_14
du_'8818''45'resp'45''8776'_170 T_BoundedJoinSemilattice_104
v0
  = let v1 :: T_IsBoundedJoinSemilattice_118
v1 = T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> T_BoundedJoinSemilattice_104
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsJoinSemilattice_22
v2
             = T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
                 (T_IsBoundedJoinSemilattice_118 -> T_IsBoundedJoinSemilattice_118
forall a b. a -> b
coe T_IsBoundedJoinSemilattice_118
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
                    (T_IsJoinSemilattice_22 -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_IsJoinSemilattice_22
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_118
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_172 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedJoinSemilattice_104 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_172 :: ()
-> ()
-> ()
-> T_BoundedJoinSemilattice_104
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_172 ~()
v0 ~()
v1 ~()
v2 T_BoundedJoinSemilattice_104
v3
  = T_BoundedJoinSemilattice_104
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_172 T_BoundedJoinSemilattice_104
v3
du_'8818''45'resp'691''45''8776'_172 ::
  T_BoundedJoinSemilattice_104 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_172 :: T_BoundedJoinSemilattice_104
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_172 T_BoundedJoinSemilattice_104
v0
  = let v1 :: T_IsBoundedJoinSemilattice_118
v1 = T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> T_BoundedJoinSemilattice_104
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsJoinSemilattice_22
v2
             = T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
                 (T_IsBoundedJoinSemilattice_118 -> T_IsBoundedJoinSemilattice_118
forall a b. a -> b
coe T_IsBoundedJoinSemilattice_118
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
                    (T_IsJoinSemilattice_22 -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_IsJoinSemilattice_22
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_112
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_174 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedJoinSemilattice_104 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_174 :: ()
-> ()
-> ()
-> T_BoundedJoinSemilattice_104
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_174 ~()
v0 ~()
v1 ~()
v2 T_BoundedJoinSemilattice_104
v3
  = T_BoundedJoinSemilattice_104
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_174 T_BoundedJoinSemilattice_104
v3
du_'8818''45'resp'737''45''8776'_174 ::
  T_BoundedJoinSemilattice_104 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_174 :: T_BoundedJoinSemilattice_104
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_174 T_BoundedJoinSemilattice_104
v0
  = let v1 :: T_IsBoundedJoinSemilattice_118
v1 = T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> T_BoundedJoinSemilattice_104
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsJoinSemilattice_22
v2
             = T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
                 (T_IsBoundedJoinSemilattice_118 -> T_IsBoundedJoinSemilattice_118
forall a b. a -> b
coe T_IsBoundedJoinSemilattice_118
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
                    (T_IsJoinSemilattice_22 -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_IsJoinSemilattice_22
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.Eq.isPartialEquivalence
d_isPartialEquivalence_178 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedJoinSemilattice_104 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_178 :: ()
-> ()
-> ()
-> T_BoundedJoinSemilattice_104
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_178 ~()
v0 ~()
v1 ~()
v2 T_BoundedJoinSemilattice_104
v3
  = T_BoundedJoinSemilattice_104 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_178 T_BoundedJoinSemilattice_104
v3
du_isPartialEquivalence_178 ::
  T_BoundedJoinSemilattice_104 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_178 :: T_BoundedJoinSemilattice_104 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_178 T_BoundedJoinSemilattice_104
v0
  = let v1 :: T_IsBoundedJoinSemilattice_118
v1 = T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> T_BoundedJoinSemilattice_104
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: T_IsJoinSemilattice_22
v2
             = T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
                 (T_IsBoundedJoinSemilattice_118 -> T_IsBoundedJoinSemilattice_118
forall a b. a -> b
coe T_IsBoundedJoinSemilattice_118
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
                    (T_IsJoinSemilattice_22 -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_IsJoinSemilattice_22
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsPreorder_76
v4
                   = T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                       (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
                  ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                     (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v4))))))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.Eq.refl
d_refl_180 :: T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny
d_refl_180 :: T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny
d_refl_180 T_BoundedJoinSemilattice_104
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsJoinSemilattice_22 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
               ((T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
                  ((T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0))))))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.Eq.reflexive
d_reflexive_182 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedJoinSemilattice_104 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_182 :: ()
-> ()
-> ()
-> T_BoundedJoinSemilattice_104
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_182 ~()
v0 ~()
v1 ~()
v2 T_BoundedJoinSemilattice_104
v3 = T_BoundedJoinSemilattice_104
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_182 T_BoundedJoinSemilattice_104
v3
du_reflexive_182 ::
  T_BoundedJoinSemilattice_104 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_182 :: T_BoundedJoinSemilattice_104
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_182 T_BoundedJoinSemilattice_104
v0
  = let v1 :: T_IsBoundedJoinSemilattice_118
v1 = T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> T_BoundedJoinSemilattice_104
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsJoinSemilattice_22
v2
             = T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
                 (T_IsBoundedJoinSemilattice_118 -> T_IsBoundedJoinSemilattice_118
forall a b. a -> b
coe T_IsBoundedJoinSemilattice_118
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
                    (T_IsJoinSemilattice_22 -> T_IsJoinSemilattice_22
forall a b. a -> b
coe T_IsJoinSemilattice_22
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsPreorder_76
v4
                   = T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                       (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v3) in
             (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
               (\ AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 ->
                  (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
                    ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                       (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v4))
                    AgdaAny
v5))))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.Eq.sym
d_sym_184 ::
  T_BoundedJoinSemilattice_104 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_184 :: T_BoundedJoinSemilattice_104
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_184 T_BoundedJoinSemilattice_104
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsJoinSemilattice_22 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
               ((T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
                  ((T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0))))))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.Eq.trans
d_trans_186 ::
  T_BoundedJoinSemilattice_104 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_186 :: T_BoundedJoinSemilattice_104
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_186 T_BoundedJoinSemilattice_104
v0
  = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsJoinSemilattice_22 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsJoinSemilattice_22 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_30
               ((T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
                  ((T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0))))))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice.joinSemilattice
d_joinSemilattice_188 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedJoinSemilattice_104 -> T_JoinSemilattice_14
d_joinSemilattice_188 :: ()
-> () -> () -> T_BoundedJoinSemilattice_104 -> T_JoinSemilattice_14
d_joinSemilattice_188 ~()
v0 ~()
v1 ~()
v2 T_BoundedJoinSemilattice_104
v3 = T_BoundedJoinSemilattice_104 -> T_JoinSemilattice_14
du_joinSemilattice_188 T_BoundedJoinSemilattice_104
v3
du_joinSemilattice_188 ::
  T_BoundedJoinSemilattice_104 -> T_JoinSemilattice_14
du_joinSemilattice_188 :: T_BoundedJoinSemilattice_104 -> T_JoinSemilattice_14
du_joinSemilattice_188 T_BoundedJoinSemilattice_104
v0
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsJoinSemilattice_22 -> T_JoinSemilattice_14)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsJoinSemilattice_22
-> T_JoinSemilattice_14
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsJoinSemilattice_22 -> T_JoinSemilattice_14
C_constructor_96 (T_BoundedJoinSemilattice_104 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__130 (T_BoundedJoinSemilattice_104 -> T_BoundedJoinSemilattice_104
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0))
      (T_IsBoundedJoinSemilattice_118 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isJoinSemilattice_128
         ((T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118)
-> AgdaAny -> T_IsBoundedJoinSemilattice_118
forall a b. a -> b
coe T_BoundedJoinSemilattice_104 -> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_134 (T_BoundedJoinSemilattice_104 -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0)))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.poset
d_poset_192 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedJoinSemilattice_104 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_492
d_poset_192 :: () -> () -> () -> T_BoundedJoinSemilattice_104 -> T_Poset_492
d_poset_192 ~()
v0 ~()
v1 ~()
v2 T_BoundedJoinSemilattice_104
v3 = T_BoundedJoinSemilattice_104 -> T_Poset_492
du_poset_192 T_BoundedJoinSemilattice_104
v3
du_poset_192 ::
  T_BoundedJoinSemilattice_104 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_492
du_poset_192 :: T_BoundedJoinSemilattice_104 -> T_Poset_492
du_poset_192 T_BoundedJoinSemilattice_104
v0
  = (T_JoinSemilattice_14 -> T_Poset_492) -> AgdaAny -> T_Poset_492
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_Poset_492
du_poset_90 ((T_BoundedJoinSemilattice_104 -> T_JoinSemilattice_14)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104 -> T_JoinSemilattice_14
du_joinSemilattice_188 (T_BoundedJoinSemilattice_104 -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0))
-- Relation.Binary.Lattice.Bundles.BoundedJoinSemilattice._.preorder
d_preorder_194 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedJoinSemilattice_104 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_142
d_preorder_194 :: () -> () -> () -> T_BoundedJoinSemilattice_104 -> T_Preorder_142
d_preorder_194 ~()
v0 ~()
v1 ~()
v2 T_BoundedJoinSemilattice_104
v3 = T_BoundedJoinSemilattice_104 -> T_Preorder_142
du_preorder_194 T_BoundedJoinSemilattice_104
v3
du_preorder_194 ::
  T_BoundedJoinSemilattice_104 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_142
du_preorder_194 :: T_BoundedJoinSemilattice_104 -> T_Preorder_142
du_preorder_194 T_BoundedJoinSemilattice_104
v0
  = let v1 :: AgdaAny
v1 = (T_BoundedJoinSemilattice_104 -> T_JoinSemilattice_14)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104 -> T_JoinSemilattice_14
du_joinSemilattice_188 (T_BoundedJoinSemilattice_104 -> AgdaAny
forall a b. a -> b
coe T_BoundedJoinSemilattice_104
v0) in
    AgdaAny -> T_Preorder_142
forall a b. a -> b
coe
      ((T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Poset_492 -> T_Preorder_142
MAlonzo.Code.Relation.Binary.Bundles.du_preorder_522
         ((T_JoinSemilattice_14 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_Poset_492
du_poset_90 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice
d_MeetSemilattice_204 :: p -> p -> p -> ()
d_MeetSemilattice_204 p
a0 p
a1 p
a2 = ()
data T_MeetSemilattice_204
  = C_constructor_286 (AgdaAny -> AgdaAny -> AgdaAny)
                      MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsMeetSemilattice_184
-- Relation.Binary.Lattice.Bundles.MeetSemilattice.Carrier
d_Carrier_222 :: T_MeetSemilattice_204 -> ()
d_Carrier_222 :: T_MeetSemilattice_204 -> ()
d_Carrier_222 = T_MeetSemilattice_204 -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._≈_
d__'8776'__224 :: T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> ()
d__'8776'__224 :: T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> ()
d__'8776'__224 = T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._≤_
d__'8804'__226 :: T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> ()
d__'8804'__226 :: T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> ()
d__'8804'__226 = T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._∧_
d__'8743'__228 ::
  T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__228 :: T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__228 T_MeetSemilattice_204
v0
  = case T_MeetSemilattice_204 -> T_MeetSemilattice_204
forall a b. a -> b
coe T_MeetSemilattice_204
v0 of
      C_constructor_286 AgdaAny -> AgdaAny -> AgdaAny
v4 T_IsMeetSemilattice_184
v5 -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v4
      T_MeetSemilattice_204
_ -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.MeetSemilattice.isMeetSemilattice
d_isMeetSemilattice_230 ::
  T_MeetSemilattice_204 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsMeetSemilattice_184
d_isMeetSemilattice_230 :: T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 T_MeetSemilattice_204
v0
  = case T_MeetSemilattice_204 -> T_MeetSemilattice_204
forall a b. a -> b
coe T_MeetSemilattice_204
v0 of
      C_constructor_286 AgdaAny -> AgdaAny -> AgdaAny
v4 T_IsMeetSemilattice_184
v5 -> T_IsMeetSemilattice_184 -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_IsMeetSemilattice_184
v5
      T_MeetSemilattice_204
_ -> T_IsMeetSemilattice_184
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.antisym
d_antisym_234 ::
  T_MeetSemilattice_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_234 :: T_MeetSemilattice_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_234 T_MeetSemilattice_204
v0
  = (T_IsPartialOrder_248
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_258
      ((T_IsMeetSemilattice_184 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
         ((T_MeetSemilattice_204 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204
v0)))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.infimum
d_infimum_236 ::
  T_MeetSemilattice_204 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_infimum_236 :: T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> T_Σ_14
d_infimum_236 T_MeetSemilattice_204
v0
  = (T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_infimum_194
      ((T_MeetSemilattice_204 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204
v0))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.isEquivalence
d_isEquivalence_238 ::
  T_MeetSemilattice_204 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_238 :: T_MeetSemilattice_204 -> T_IsEquivalence_28
d_isEquivalence_238 T_MeetSemilattice_204
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsMeetSemilattice_184 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
            ((T_MeetSemilattice_204 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204
v0))))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.isPartialOrder
d_isPartialOrder_240 ::
  T_MeetSemilattice_204 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_248
d_isPartialOrder_240 :: T_MeetSemilattice_204 -> T_IsPartialOrder_248
d_isPartialOrder_240 T_MeetSemilattice_204
v0
  = (T_IsMeetSemilattice_184 -> T_IsPartialOrder_248)
-> AgdaAny -> T_IsPartialOrder_248
forall a b. a -> b
coe
      T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
      ((T_MeetSemilattice_204 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204
v0))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.isPreorder
d_isPreorder_242 ::
  T_MeetSemilattice_204 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
d_isPreorder_242 :: T_MeetSemilattice_204 -> T_IsPreorder_76
d_isPreorder_242 T_MeetSemilattice_204
v0
  = (T_IsPartialOrder_248 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
      T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
      ((T_IsMeetSemilattice_184 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
         ((T_MeetSemilattice_204 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204
v0)))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.refl
d_refl_244 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_MeetSemilattice_204 -> AgdaAny -> AgdaAny
d_refl_244 :: () -> () -> () -> T_MeetSemilattice_204 -> AgdaAny -> AgdaAny
d_refl_244 ~()
v0 ~()
v1 ~()
v2 T_MeetSemilattice_204
v3 = T_MeetSemilattice_204 -> AgdaAny -> AgdaAny
du_refl_244 T_MeetSemilattice_204
v3
du_refl_244 :: T_MeetSemilattice_204 -> AgdaAny -> AgdaAny
du_refl_244 :: T_MeetSemilattice_204 -> AgdaAny -> AgdaAny
du_refl_244 T_MeetSemilattice_204
v0
  = let v1 :: T_IsMeetSemilattice_184
v1 = T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> T_MeetSemilattice_204
forall a b. a -> b
coe T_MeetSemilattice_204
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
                 (T_IsMeetSemilattice_184 -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_IsMeetSemilattice_184
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_104
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.reflexive
d_reflexive_246 ::
  T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_246 :: T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_246 T_MeetSemilattice_204
v0
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_88
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsMeetSemilattice_184 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
            ((T_MeetSemilattice_204 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204
v0))))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.trans
d_trans_248 ::
  T_MeetSemilattice_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_248 :: T_MeetSemilattice_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_248 T_MeetSemilattice_204
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsMeetSemilattice_184 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
            ((T_MeetSemilattice_204 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204
v0))))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.x∧y≤x
d_x'8743'y'8804'x_250 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8743'y'8804'x_250 :: ()
-> ()
-> ()
-> T_MeetSemilattice_204
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8743'y'8804'x_250 ~()
v0 ~()
v1 ~()
v2 T_MeetSemilattice_204
v3 = T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_250 T_MeetSemilattice_204
v3
du_x'8743'y'8804'x_250 ::
  T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_250 :: T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_250 T_MeetSemilattice_204
v0
  = (T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8743'y'8804'x_200
      ((T_MeetSemilattice_204 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204
v0))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.x∧y≤y
d_x'8743'y'8804'y_252 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8743'y'8804'y_252 :: ()
-> ()
-> ()
-> T_MeetSemilattice_204
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8743'y'8804'y_252 ~()
v0 ~()
v1 ~()
v2 T_MeetSemilattice_204
v3 = T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_252 T_MeetSemilattice_204
v3
du_x'8743'y'8804'y_252 ::
  T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_252 :: T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_252 T_MeetSemilattice_204
v0
  = (T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8743'y'8804'y_212
      ((T_MeetSemilattice_204 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204
v0))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.∧-greatest
d_'8743''45'greatest_254 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_MeetSemilattice_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45'greatest_254 :: ()
-> ()
-> ()
-> T_MeetSemilattice_204
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8743''45'greatest_254 ~()
v0 ~()
v1 ~()
v2 T_MeetSemilattice_204
v3
  = T_MeetSemilattice_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_254 T_MeetSemilattice_204
v3
du_'8743''45'greatest_254 ::
  T_MeetSemilattice_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_254 :: T_MeetSemilattice_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_254 T_MeetSemilattice_204
v0
  = (T_IsMeetSemilattice_184
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsMeetSemilattice_184
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_'8743''45'greatest_226
      ((T_MeetSemilattice_204 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204
v0))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.∼-resp-≈
d_'8764''45'resp'45''8776'_256 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_MeetSemilattice_204 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_256 :: () -> () -> () -> T_MeetSemilattice_204 -> T_Σ_14
d_'8764''45'resp'45''8776'_256 ~()
v0 ~()
v1 ~()
v2 T_MeetSemilattice_204
v3
  = T_MeetSemilattice_204 -> T_Σ_14
du_'8764''45'resp'45''8776'_256 T_MeetSemilattice_204
v3
du_'8764''45'resp'45''8776'_256 ::
  T_MeetSemilattice_204 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_256 :: T_MeetSemilattice_204 -> T_Σ_14
du_'8764''45'resp'45''8776'_256 T_MeetSemilattice_204
v0
  = let v1 :: T_IsMeetSemilattice_184
v1 = T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> T_MeetSemilattice_204
forall a b. a -> b
coe T_MeetSemilattice_204
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
                 (T_IsMeetSemilattice_184 -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_IsMeetSemilattice_184
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_124
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_258 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_MeetSemilattice_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_258 :: ()
-> ()
-> ()
-> T_MeetSemilattice_204
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_258 ~()
v0 ~()
v1 ~()
v2 T_MeetSemilattice_204
v3
  = T_MeetSemilattice_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_258 T_MeetSemilattice_204
v3
du_'8764''45'resp'691''45''8776'_258 ::
  T_MeetSemilattice_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_258 :: T_MeetSemilattice_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_258 T_MeetSemilattice_204
v0
  = let v1 :: T_IsMeetSemilattice_184
v1 = T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> T_MeetSemilattice_204
forall a b. a -> b
coe T_MeetSemilattice_204
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
                 (T_IsMeetSemilattice_184 -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_IsMeetSemilattice_184
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_122
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_260 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_MeetSemilattice_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_260 :: ()
-> ()
-> ()
-> T_MeetSemilattice_204
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_260 ~()
v0 ~()
v1 ~()
v2 T_MeetSemilattice_204
v3
  = T_MeetSemilattice_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_260 T_MeetSemilattice_204
v3
du_'8764''45'resp'737''45''8776'_260 ::
  T_MeetSemilattice_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_260 :: T_MeetSemilattice_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_260 T_MeetSemilattice_204
v0
  = let v1 :: T_IsMeetSemilattice_184
v1 = T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> T_MeetSemilattice_204
forall a b. a -> b
coe T_MeetSemilattice_204
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
                 (T_IsMeetSemilattice_184 -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_IsMeetSemilattice_184
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_120
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.≲-resp-≈
d_'8818''45'resp'45''8776'_262 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_MeetSemilattice_204 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_262 :: () -> () -> () -> T_MeetSemilattice_204 -> T_Σ_14
d_'8818''45'resp'45''8776'_262 ~()
v0 ~()
v1 ~()
v2 T_MeetSemilattice_204
v3
  = T_MeetSemilattice_204 -> T_Σ_14
du_'8818''45'resp'45''8776'_262 T_MeetSemilattice_204
v3
du_'8818''45'resp'45''8776'_262 ::
  T_MeetSemilattice_204 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_262 :: T_MeetSemilattice_204 -> T_Σ_14
du_'8818''45'resp'45''8776'_262 T_MeetSemilattice_204
v0
  = let v1 :: T_IsMeetSemilattice_184
v1 = T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> T_MeetSemilattice_204
forall a b. a -> b
coe T_MeetSemilattice_204
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
                 (T_IsMeetSemilattice_184 -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_IsMeetSemilattice_184
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_118
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_264 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_MeetSemilattice_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_264 :: ()
-> ()
-> ()
-> T_MeetSemilattice_204
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_264 ~()
v0 ~()
v1 ~()
v2 T_MeetSemilattice_204
v3
  = T_MeetSemilattice_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_264 T_MeetSemilattice_204
v3
du_'8818''45'resp'691''45''8776'_264 ::
  T_MeetSemilattice_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_264 :: T_MeetSemilattice_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_264 T_MeetSemilattice_204
v0
  = let v1 :: T_IsMeetSemilattice_184
v1 = T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> T_MeetSemilattice_204
forall a b. a -> b
coe T_MeetSemilattice_204
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
                 (T_IsMeetSemilattice_184 -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_IsMeetSemilattice_184
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_112
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_266 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_MeetSemilattice_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_266 :: ()
-> ()
-> ()
-> T_MeetSemilattice_204
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_266 ~()
v0 ~()
v1 ~()
v2 T_MeetSemilattice_204
v3
  = T_MeetSemilattice_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_266 T_MeetSemilattice_204
v3
du_'8818''45'resp'737''45''8776'_266 ::
  T_MeetSemilattice_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_266 :: T_MeetSemilattice_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_266 T_MeetSemilattice_204
v0
  = let v1 :: T_IsMeetSemilattice_184
v1 = T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> T_MeetSemilattice_204
forall a b. a -> b
coe T_MeetSemilattice_204
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
                 (T_IsMeetSemilattice_184 -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_IsMeetSemilattice_184
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.Eq.isPartialEquivalence
d_isPartialEquivalence_270 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_MeetSemilattice_204 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_270 :: ()
-> () -> () -> T_MeetSemilattice_204 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_270 ~()
v0 ~()
v1 ~()
v2 T_MeetSemilattice_204
v3
  = T_MeetSemilattice_204 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_270 T_MeetSemilattice_204
v3
du_isPartialEquivalence_270 ::
  T_MeetSemilattice_204 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_270 :: T_MeetSemilattice_204 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_270 T_MeetSemilattice_204
v0
  = let v1 :: T_IsMeetSemilattice_184
v1 = T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> T_MeetSemilattice_204
forall a b. a -> b
coe T_MeetSemilattice_204
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
                 (T_IsMeetSemilattice_184 -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_IsMeetSemilattice_184
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPreorder_76
v3
                = T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                    (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
               ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                  (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v3)))))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.Eq.refl
d_refl_272 :: T_MeetSemilattice_204 -> AgdaAny -> AgdaAny
d_refl_272 :: T_MeetSemilattice_204 -> AgdaAny -> AgdaAny
d_refl_272 T_MeetSemilattice_204
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsMeetSemilattice_184 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
               ((T_MeetSemilattice_204 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204
v0)))))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.Eq.reflexive
d_reflexive_274 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_MeetSemilattice_204 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_274 :: ()
-> ()
-> ()
-> T_MeetSemilattice_204
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_274 ~()
v0 ~()
v1 ~()
v2 T_MeetSemilattice_204
v3 = T_MeetSemilattice_204
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_274 T_MeetSemilattice_204
v3
du_reflexive_274 ::
  T_MeetSemilattice_204 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_274 :: T_MeetSemilattice_204
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_274 T_MeetSemilattice_204
v0
  = let v1 :: T_IsMeetSemilattice_184
v1 = T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> T_MeetSemilattice_204
forall a b. a -> b
coe T_MeetSemilattice_204
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
                 (T_IsMeetSemilattice_184 -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_IsMeetSemilattice_184
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPreorder_76
v3
                = T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                    (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v2) in
          (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
            (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
               (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
                 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                    (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v3))
                 AgdaAny
v4)))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.Eq.sym
d_sym_276 ::
  T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_276 :: T_MeetSemilattice_204 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_276 T_MeetSemilattice_204
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsMeetSemilattice_184 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
               ((T_MeetSemilattice_204 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204
v0)))))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.Eq.trans
d_trans_278 ::
  T_MeetSemilattice_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_278 :: T_MeetSemilattice_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_278 T_MeetSemilattice_204
v0
  = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsMeetSemilattice_184 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
               ((T_MeetSemilattice_204 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204
v0)))))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice.poset
d_poset_280 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_MeetSemilattice_204 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_492
d_poset_280 :: () -> () -> () -> T_MeetSemilattice_204 -> T_Poset_492
d_poset_280 ~()
v0 ~()
v1 ~()
v2 T_MeetSemilattice_204
v3 = T_MeetSemilattice_204 -> T_Poset_492
du_poset_280 T_MeetSemilattice_204
v3
du_poset_280 ::
  T_MeetSemilattice_204 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_492
du_poset_280 :: T_MeetSemilattice_204 -> T_Poset_492
du_poset_280 T_MeetSemilattice_204
v0
  = (T_IsPartialOrder_248 -> T_Poset_492)
-> T_IsPartialOrder_248 -> T_Poset_492
forall a b. a -> b
coe
      T_IsPartialOrder_248 -> T_Poset_492
MAlonzo.Code.Relation.Binary.Bundles.C_constructor_588
      (T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
         ((T_MeetSemilattice_204 -> T_IsMeetSemilattice_184)
-> AgdaAny -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_MeetSemilattice_204 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_230 (T_MeetSemilattice_204 -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204
v0)))
-- Relation.Binary.Lattice.Bundles.MeetSemilattice._.preorder
d_preorder_284 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_MeetSemilattice_204 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_142
d_preorder_284 :: () -> () -> () -> T_MeetSemilattice_204 -> T_Preorder_142
d_preorder_284 ~()
v0 ~()
v1 ~()
v2 T_MeetSemilattice_204
v3 = T_MeetSemilattice_204 -> T_Preorder_142
du_preorder_284 T_MeetSemilattice_204
v3
du_preorder_284 ::
  T_MeetSemilattice_204 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_142
du_preorder_284 :: T_MeetSemilattice_204 -> T_Preorder_142
du_preorder_284 T_MeetSemilattice_204
v0
  = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> T_Preorder_142
forall a b. a -> b
coe
      T_Poset_492 -> T_Preorder_142
MAlonzo.Code.Relation.Binary.Bundles.du_preorder_522
      ((T_MeetSemilattice_204 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204 -> T_Poset_492
du_poset_280 (T_MeetSemilattice_204 -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204
v0))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice
d_BoundedMeetSemilattice_294 :: p -> p -> p -> ()
d_BoundedMeetSemilattice_294 p
a0 p
a1 p
a2 = ()
data T_BoundedMeetSemilattice_294
  = C_constructor_386 (AgdaAny -> AgdaAny -> AgdaAny) AgdaAny
                      MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedMeetSemilattice_280
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice.Carrier
d_Carrier_314 :: T_BoundedMeetSemilattice_294 -> ()
d_Carrier_314 :: T_BoundedMeetSemilattice_294 -> ()
d_Carrier_314 = T_BoundedMeetSemilattice_294 -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._≈_
d__'8776'__316 ::
  T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny -> ()
d__'8776'__316 :: T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny -> ()
d__'8776'__316 = T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._≤_
d__'8804'__318 ::
  T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny -> ()
d__'8804'__318 :: T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny -> ()
d__'8804'__318 = T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._∧_
d__'8743'__320 ::
  T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__320 :: T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__320 T_BoundedMeetSemilattice_294
v0
  = case T_BoundedMeetSemilattice_294 -> T_BoundedMeetSemilattice_294
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0 of
      C_constructor_386 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 T_IsBoundedMeetSemilattice_280
v6 -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v4
      T_BoundedMeetSemilattice_294
_ -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice.⊤
d_'8868'_322 :: T_BoundedMeetSemilattice_294 -> AgdaAny
d_'8868'_322 :: T_BoundedMeetSemilattice_294 -> AgdaAny
d_'8868'_322 T_BoundedMeetSemilattice_294
v0
  = case T_BoundedMeetSemilattice_294 -> T_BoundedMeetSemilattice_294
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0 of
      C_constructor_386 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 T_IsBoundedMeetSemilattice_280
v6 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5
      T_BoundedMeetSemilattice_294
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice.isBoundedMeetSemilattice
d_isBoundedMeetSemilattice_324 ::
  T_BoundedMeetSemilattice_294 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 :: T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 T_BoundedMeetSemilattice_294
v0
  = case T_BoundedMeetSemilattice_294 -> T_BoundedMeetSemilattice_294
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0 of
      C_constructor_386 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 T_IsBoundedMeetSemilattice_280
v6 -> T_IsBoundedMeetSemilattice_280 -> T_IsBoundedMeetSemilattice_280
forall a b. a -> b
coe T_IsBoundedMeetSemilattice_280
v6
      T_BoundedMeetSemilattice_294
_ -> T_IsBoundedMeetSemilattice_280
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.antisym
d_antisym_328 ::
  T_BoundedMeetSemilattice_294 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_328 :: T_BoundedMeetSemilattice_294
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_328 T_BoundedMeetSemilattice_294
v0
  = (T_IsPartialOrder_248
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_258
      ((T_IsMeetSemilattice_184 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
         ((T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
            ((T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0))))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.infimum
d_infimum_330 ::
  T_BoundedMeetSemilattice_294 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_infimum_330 :: T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny -> T_Σ_14
d_infimum_330 T_BoundedMeetSemilattice_294
v0
  = (T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_infimum_194
      ((T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
         ((T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0)))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.isEquivalence
d_isEquivalence_332 ::
  T_BoundedMeetSemilattice_294 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_332 :: T_BoundedMeetSemilattice_294 -> T_IsEquivalence_28
d_isEquivalence_332 T_BoundedMeetSemilattice_294
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsMeetSemilattice_184 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
            ((T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
               ((T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0)))))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.isMeetSemilattice
d_isMeetSemilattice_334 ::
  T_BoundedMeetSemilattice_294 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsMeetSemilattice_184
d_isMeetSemilattice_334 :: T_BoundedMeetSemilattice_294 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_334 T_BoundedMeetSemilattice_294
v0
  = (T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184)
-> AgdaAny -> T_IsMeetSemilattice_184
forall a b. a -> b
coe
      T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
      ((T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.isPartialOrder
d_isPartialOrder_336 ::
  T_BoundedMeetSemilattice_294 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_248
d_isPartialOrder_336 :: T_BoundedMeetSemilattice_294 -> T_IsPartialOrder_248
d_isPartialOrder_336 T_BoundedMeetSemilattice_294
v0
  = (T_IsMeetSemilattice_184 -> T_IsPartialOrder_248)
-> AgdaAny -> T_IsPartialOrder_248
forall a b. a -> b
coe
      T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
      ((T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
         ((T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0)))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.isPreorder
d_isPreorder_338 ::
  T_BoundedMeetSemilattice_294 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
d_isPreorder_338 :: T_BoundedMeetSemilattice_294 -> T_IsPreorder_76
d_isPreorder_338 T_BoundedMeetSemilattice_294
v0
  = (T_IsPartialOrder_248 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
      T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
      ((T_IsMeetSemilattice_184 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
         ((T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
            ((T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0))))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.maximum
d_maximum_340 :: T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny
d_maximum_340 :: T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny
d_maximum_340 T_BoundedMeetSemilattice_294
v0
  = (T_IsBoundedMeetSemilattice_280 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsBoundedMeetSemilattice_280 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_maximum_292
      ((T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.refl
d_refl_342 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny
d_refl_342 :: ()
-> () -> () -> T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny
d_refl_342 ~()
v0 ~()
v1 ~()
v2 T_BoundedMeetSemilattice_294
v3 = T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny
du_refl_342 T_BoundedMeetSemilattice_294
v3
du_refl_342 :: T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny
du_refl_342 :: T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny
du_refl_342 T_BoundedMeetSemilattice_294
v0
  = let v1 :: T_IsBoundedMeetSemilattice_280
v1 = T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> T_BoundedMeetSemilattice_294
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsMeetSemilattice_184
v2
             = T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
                 (T_IsBoundedMeetSemilattice_280 -> T_IsBoundedMeetSemilattice_280
forall a b. a -> b
coe T_IsBoundedMeetSemilattice_280
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
                    (T_IsMeetSemilattice_184 -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_IsMeetSemilattice_184
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_104
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.reflexive
d_reflexive_344 ::
  T_BoundedMeetSemilattice_294 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_344 :: T_BoundedMeetSemilattice_294
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_344 T_BoundedMeetSemilattice_294
v0
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_88
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsMeetSemilattice_184 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
            ((T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
               ((T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0)))))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.trans
d_trans_346 ::
  T_BoundedMeetSemilattice_294 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_346 :: T_BoundedMeetSemilattice_294
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_346 T_BoundedMeetSemilattice_294
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsMeetSemilattice_184 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
            ((T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
               ((T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0)))))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.x∧y≤x
d_x'8743'y'8804'x_348 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8743'y'8804'x_348 :: ()
-> ()
-> ()
-> T_BoundedMeetSemilattice_294
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8743'y'8804'x_348 ~()
v0 ~()
v1 ~()
v2 T_BoundedMeetSemilattice_294
v3 = T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_348 T_BoundedMeetSemilattice_294
v3
du_x'8743'y'8804'x_348 ::
  T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_348 :: T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_348 T_BoundedMeetSemilattice_294
v0
  = let v1 :: T_IsBoundedMeetSemilattice_280
v1 = T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> T_BoundedMeetSemilattice_294
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8743'y'8804'x_200
         ((T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
            (T_IsBoundedMeetSemilattice_280 -> AgdaAny
forall a b. a -> b
coe T_IsBoundedMeetSemilattice_280
v1)))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.x∧y≤y
d_x'8743'y'8804'y_350 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8743'y'8804'y_350 :: ()
-> ()
-> ()
-> T_BoundedMeetSemilattice_294
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8743'y'8804'y_350 ~()
v0 ~()
v1 ~()
v2 T_BoundedMeetSemilattice_294
v3 = T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_350 T_BoundedMeetSemilattice_294
v3
du_x'8743'y'8804'y_350 ::
  T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_350 :: T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_350 T_BoundedMeetSemilattice_294
v0
  = let v1 :: T_IsBoundedMeetSemilattice_280
v1 = T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> T_BoundedMeetSemilattice_294
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8743'y'8804'y_212
         ((T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
            (T_IsBoundedMeetSemilattice_280 -> AgdaAny
forall a b. a -> b
coe T_IsBoundedMeetSemilattice_280
v1)))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.∧-greatest
d_'8743''45'greatest_352 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedMeetSemilattice_294 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45'greatest_352 :: ()
-> ()
-> ()
-> T_BoundedMeetSemilattice_294
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8743''45'greatest_352 ~()
v0 ~()
v1 ~()
v2 T_BoundedMeetSemilattice_294
v3
  = T_BoundedMeetSemilattice_294
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_352 T_BoundedMeetSemilattice_294
v3
du_'8743''45'greatest_352 ::
  T_BoundedMeetSemilattice_294 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_352 :: T_BoundedMeetSemilattice_294
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_352 T_BoundedMeetSemilattice_294
v0
  = let v1 :: T_IsBoundedMeetSemilattice_280
v1 = T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> T_BoundedMeetSemilattice_294
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsMeetSemilattice_184
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsMeetSemilattice_184
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_'8743''45'greatest_226
         ((T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
            (T_IsBoundedMeetSemilattice_280 -> AgdaAny
forall a b. a -> b
coe T_IsBoundedMeetSemilattice_280
v1)))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.∼-resp-≈
d_'8764''45'resp'45''8776'_354 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedMeetSemilattice_294 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_354 :: () -> () -> () -> T_BoundedMeetSemilattice_294 -> T_Σ_14
d_'8764''45'resp'45''8776'_354 ~()
v0 ~()
v1 ~()
v2 T_BoundedMeetSemilattice_294
v3
  = T_BoundedMeetSemilattice_294 -> T_Σ_14
du_'8764''45'resp'45''8776'_354 T_BoundedMeetSemilattice_294
v3
du_'8764''45'resp'45''8776'_354 ::
  T_BoundedMeetSemilattice_294 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_354 :: T_BoundedMeetSemilattice_294 -> T_Σ_14
du_'8764''45'resp'45''8776'_354 T_BoundedMeetSemilattice_294
v0
  = let v1 :: T_IsBoundedMeetSemilattice_280
v1 = T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> T_BoundedMeetSemilattice_294
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsMeetSemilattice_184
v2
             = T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
                 (T_IsBoundedMeetSemilattice_280 -> T_IsBoundedMeetSemilattice_280
forall a b. a -> b
coe T_IsBoundedMeetSemilattice_280
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
                    (T_IsMeetSemilattice_184 -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_IsMeetSemilattice_184
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_124
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_356 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedMeetSemilattice_294 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_356 :: ()
-> ()
-> ()
-> T_BoundedMeetSemilattice_294
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_356 ~()
v0 ~()
v1 ~()
v2 T_BoundedMeetSemilattice_294
v3
  = T_BoundedMeetSemilattice_294
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_356 T_BoundedMeetSemilattice_294
v3
du_'8764''45'resp'691''45''8776'_356 ::
  T_BoundedMeetSemilattice_294 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_356 :: T_BoundedMeetSemilattice_294
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_356 T_BoundedMeetSemilattice_294
v0
  = let v1 :: T_IsBoundedMeetSemilattice_280
v1 = T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> T_BoundedMeetSemilattice_294
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsMeetSemilattice_184
v2
             = T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
                 (T_IsBoundedMeetSemilattice_280 -> T_IsBoundedMeetSemilattice_280
forall a b. a -> b
coe T_IsBoundedMeetSemilattice_280
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
                    (T_IsMeetSemilattice_184 -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_IsMeetSemilattice_184
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_122
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_358 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedMeetSemilattice_294 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_358 :: ()
-> ()
-> ()
-> T_BoundedMeetSemilattice_294
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_358 ~()
v0 ~()
v1 ~()
v2 T_BoundedMeetSemilattice_294
v3
  = T_BoundedMeetSemilattice_294
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_358 T_BoundedMeetSemilattice_294
v3
du_'8764''45'resp'737''45''8776'_358 ::
  T_BoundedMeetSemilattice_294 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_358 :: T_BoundedMeetSemilattice_294
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_358 T_BoundedMeetSemilattice_294
v0
  = let v1 :: T_IsBoundedMeetSemilattice_280
v1 = T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> T_BoundedMeetSemilattice_294
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsMeetSemilattice_184
v2
             = T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
                 (T_IsBoundedMeetSemilattice_280 -> T_IsBoundedMeetSemilattice_280
forall a b. a -> b
coe T_IsBoundedMeetSemilattice_280
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
                    (T_IsMeetSemilattice_184 -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_IsMeetSemilattice_184
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_120
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.≲-resp-≈
d_'8818''45'resp'45''8776'_360 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedMeetSemilattice_294 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_360 :: () -> () -> () -> T_BoundedMeetSemilattice_294 -> T_Σ_14
d_'8818''45'resp'45''8776'_360 ~()
v0 ~()
v1 ~()
v2 T_BoundedMeetSemilattice_294
v3
  = T_BoundedMeetSemilattice_294 -> T_Σ_14
du_'8818''45'resp'45''8776'_360 T_BoundedMeetSemilattice_294
v3
du_'8818''45'resp'45''8776'_360 ::
  T_BoundedMeetSemilattice_294 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_360 :: T_BoundedMeetSemilattice_294 -> T_Σ_14
du_'8818''45'resp'45''8776'_360 T_BoundedMeetSemilattice_294
v0
  = let v1 :: T_IsBoundedMeetSemilattice_280
v1 = T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> T_BoundedMeetSemilattice_294
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsMeetSemilattice_184
v2
             = T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
                 (T_IsBoundedMeetSemilattice_280 -> T_IsBoundedMeetSemilattice_280
forall a b. a -> b
coe T_IsBoundedMeetSemilattice_280
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
                    (T_IsMeetSemilattice_184 -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_IsMeetSemilattice_184
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_118
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_362 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedMeetSemilattice_294 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_362 :: ()
-> ()
-> ()
-> T_BoundedMeetSemilattice_294
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_362 ~()
v0 ~()
v1 ~()
v2 T_BoundedMeetSemilattice_294
v3
  = T_BoundedMeetSemilattice_294
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_362 T_BoundedMeetSemilattice_294
v3
du_'8818''45'resp'691''45''8776'_362 ::
  T_BoundedMeetSemilattice_294 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_362 :: T_BoundedMeetSemilattice_294
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_362 T_BoundedMeetSemilattice_294
v0
  = let v1 :: T_IsBoundedMeetSemilattice_280
v1 = T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> T_BoundedMeetSemilattice_294
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsMeetSemilattice_184
v2
             = T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
                 (T_IsBoundedMeetSemilattice_280 -> T_IsBoundedMeetSemilattice_280
forall a b. a -> b
coe T_IsBoundedMeetSemilattice_280
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
                    (T_IsMeetSemilattice_184 -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_IsMeetSemilattice_184
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_112
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_364 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedMeetSemilattice_294 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_364 :: ()
-> ()
-> ()
-> T_BoundedMeetSemilattice_294
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_364 ~()
v0 ~()
v1 ~()
v2 T_BoundedMeetSemilattice_294
v3
  = T_BoundedMeetSemilattice_294
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_364 T_BoundedMeetSemilattice_294
v3
du_'8818''45'resp'737''45''8776'_364 ::
  T_BoundedMeetSemilattice_294 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_364 :: T_BoundedMeetSemilattice_294
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_364 T_BoundedMeetSemilattice_294
v0
  = let v1 :: T_IsBoundedMeetSemilattice_280
v1 = T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> T_BoundedMeetSemilattice_294
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsMeetSemilattice_184
v2
             = T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
                 (T_IsBoundedMeetSemilattice_280 -> T_IsBoundedMeetSemilattice_280
forall a b. a -> b
coe T_IsBoundedMeetSemilattice_280
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
                    (T_IsMeetSemilattice_184 -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_IsMeetSemilattice_184
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.Eq.isPartialEquivalence
d_isPartialEquivalence_368 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedMeetSemilattice_294 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_368 :: ()
-> ()
-> ()
-> T_BoundedMeetSemilattice_294
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_368 ~()
v0 ~()
v1 ~()
v2 T_BoundedMeetSemilattice_294
v3
  = T_BoundedMeetSemilattice_294 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_368 T_BoundedMeetSemilattice_294
v3
du_isPartialEquivalence_368 ::
  T_BoundedMeetSemilattice_294 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_368 :: T_BoundedMeetSemilattice_294 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_368 T_BoundedMeetSemilattice_294
v0
  = let v1 :: T_IsBoundedMeetSemilattice_280
v1 = T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> T_BoundedMeetSemilattice_294
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: T_IsMeetSemilattice_184
v2
             = T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
                 (T_IsBoundedMeetSemilattice_280 -> T_IsBoundedMeetSemilattice_280
forall a b. a -> b
coe T_IsBoundedMeetSemilattice_280
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
                    (T_IsMeetSemilattice_184 -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_IsMeetSemilattice_184
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsPreorder_76
v4
                   = T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                       (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
                  ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                     (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v4))))))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.Eq.refl
d_refl_370 :: T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny
d_refl_370 :: T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny
d_refl_370 T_BoundedMeetSemilattice_294
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsMeetSemilattice_184 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
               ((T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
                  ((T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0))))))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.Eq.reflexive
d_reflexive_372 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedMeetSemilattice_294 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_372 :: ()
-> ()
-> ()
-> T_BoundedMeetSemilattice_294
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_372 ~()
v0 ~()
v1 ~()
v2 T_BoundedMeetSemilattice_294
v3 = T_BoundedMeetSemilattice_294
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_372 T_BoundedMeetSemilattice_294
v3
du_reflexive_372 ::
  T_BoundedMeetSemilattice_294 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_372 :: T_BoundedMeetSemilattice_294
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_372 T_BoundedMeetSemilattice_294
v0
  = let v1 :: T_IsBoundedMeetSemilattice_280
v1 = T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> T_BoundedMeetSemilattice_294
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsMeetSemilattice_184
v2
             = T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
                 (T_IsBoundedMeetSemilattice_280 -> T_IsBoundedMeetSemilattice_280
forall a b. a -> b
coe T_IsBoundedMeetSemilattice_280
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
                    (T_IsMeetSemilattice_184 -> T_IsMeetSemilattice_184
forall a b. a -> b
coe T_IsMeetSemilattice_184
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsPreorder_76
v4
                   = T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                       (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v3) in
             (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
               (\ AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 ->
                  (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
                    ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                       (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v4))
                    AgdaAny
v5))))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.Eq.sym
d_sym_374 ::
  T_BoundedMeetSemilattice_294 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_374 :: T_BoundedMeetSemilattice_294
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_374 T_BoundedMeetSemilattice_294
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsMeetSemilattice_184 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
               ((T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
                  ((T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0))))))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.Eq.trans
d_trans_376 ::
  T_BoundedMeetSemilattice_294 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_376 :: T_BoundedMeetSemilattice_294
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_376 T_BoundedMeetSemilattice_294
v0
  = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsMeetSemilattice_184 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsMeetSemilattice_184 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_192
               ((T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
                  ((T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0))))))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice.meetSemilattice
d_meetSemilattice_378 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedMeetSemilattice_294 -> T_MeetSemilattice_204
d_meetSemilattice_378 :: ()
-> ()
-> ()
-> T_BoundedMeetSemilattice_294
-> T_MeetSemilattice_204
d_meetSemilattice_378 ~()
v0 ~()
v1 ~()
v2 T_BoundedMeetSemilattice_294
v3 = T_BoundedMeetSemilattice_294 -> T_MeetSemilattice_204
du_meetSemilattice_378 T_BoundedMeetSemilattice_294
v3
du_meetSemilattice_378 ::
  T_BoundedMeetSemilattice_294 -> T_MeetSemilattice_204
du_meetSemilattice_378 :: T_BoundedMeetSemilattice_294 -> T_MeetSemilattice_204
du_meetSemilattice_378 T_BoundedMeetSemilattice_294
v0
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsMeetSemilattice_184 -> T_MeetSemilattice_204)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMeetSemilattice_184
-> T_MeetSemilattice_204
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMeetSemilattice_184 -> T_MeetSemilattice_204
C_constructor_286 (T_BoundedMeetSemilattice_294 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__320 (T_BoundedMeetSemilattice_294 -> T_BoundedMeetSemilattice_294
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0))
      (T_IsBoundedMeetSemilattice_280 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isMeetSemilattice_290
         ((T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280)
-> AgdaAny -> T_IsBoundedMeetSemilattice_280
forall a b. a -> b
coe T_BoundedMeetSemilattice_294 -> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_324 (T_BoundedMeetSemilattice_294 -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0)))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.poset
d_poset_382 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedMeetSemilattice_294 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_492
d_poset_382 :: () -> () -> () -> T_BoundedMeetSemilattice_294 -> T_Poset_492
d_poset_382 ~()
v0 ~()
v1 ~()
v2 T_BoundedMeetSemilattice_294
v3 = T_BoundedMeetSemilattice_294 -> T_Poset_492
du_poset_382 T_BoundedMeetSemilattice_294
v3
du_poset_382 ::
  T_BoundedMeetSemilattice_294 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_492
du_poset_382 :: T_BoundedMeetSemilattice_294 -> T_Poset_492
du_poset_382 T_BoundedMeetSemilattice_294
v0
  = (T_MeetSemilattice_204 -> T_Poset_492) -> AgdaAny -> T_Poset_492
forall a b. a -> b
coe T_MeetSemilattice_204 -> T_Poset_492
du_poset_280 ((T_BoundedMeetSemilattice_294 -> T_MeetSemilattice_204)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294 -> T_MeetSemilattice_204
du_meetSemilattice_378 (T_BoundedMeetSemilattice_294 -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0))
-- Relation.Binary.Lattice.Bundles.BoundedMeetSemilattice._.preorder
d_preorder_384 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedMeetSemilattice_294 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_142
d_preorder_384 :: () -> () -> () -> T_BoundedMeetSemilattice_294 -> T_Preorder_142
d_preorder_384 ~()
v0 ~()
v1 ~()
v2 T_BoundedMeetSemilattice_294
v3 = T_BoundedMeetSemilattice_294 -> T_Preorder_142
du_preorder_384 T_BoundedMeetSemilattice_294
v3
du_preorder_384 ::
  T_BoundedMeetSemilattice_294 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_142
du_preorder_384 :: T_BoundedMeetSemilattice_294 -> T_Preorder_142
du_preorder_384 T_BoundedMeetSemilattice_294
v0
  = let v1 :: AgdaAny
v1 = (T_BoundedMeetSemilattice_294 -> T_MeetSemilattice_204)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294 -> T_MeetSemilattice_204
du_meetSemilattice_378 (T_BoundedMeetSemilattice_294 -> AgdaAny
forall a b. a -> b
coe T_BoundedMeetSemilattice_294
v0) in
    AgdaAny -> T_Preorder_142
forall a b. a -> b
coe
      ((T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Poset_492 -> T_Preorder_142
MAlonzo.Code.Relation.Binary.Bundles.du_preorder_522
         ((T_MeetSemilattice_204 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_MeetSemilattice_204 -> T_Poset_492
du_poset_280 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Lattice.Bundles.Lattice
d_Lattice_394 :: p -> p -> p -> ()
d_Lattice_394 p
a0 p
a1 p
a2 = ()
data T_Lattice_394
  = C_constructor_498 (AgdaAny -> AgdaAny -> AgdaAny)
                      (AgdaAny -> AgdaAny -> AgdaAny)
                      MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsLattice_348
-- Relation.Binary.Lattice.Bundles.Lattice.Carrier
d_Carrier_414 :: T_Lattice_394 -> ()
d_Carrier_414 :: T_Lattice_394 -> ()
d_Carrier_414 = T_Lattice_394 -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.Lattice._≈_
d__'8776'__416 :: T_Lattice_394 -> AgdaAny -> AgdaAny -> ()
d__'8776'__416 :: T_Lattice_394 -> AgdaAny -> AgdaAny -> ()
d__'8776'__416 = T_Lattice_394 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.Lattice._≤_
d__'8804'__418 :: T_Lattice_394 -> AgdaAny -> AgdaAny -> ()
d__'8804'__418 :: T_Lattice_394 -> AgdaAny -> AgdaAny -> ()
d__'8804'__418 = T_Lattice_394 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.Lattice._∨_
d__'8744'__420 :: T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__420 :: T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__420 T_Lattice_394
v0
  = case T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0 of
      C_constructor_498 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 T_IsLattice_348
v6 -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v4
      T_Lattice_394
_ -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.Lattice._∧_
d__'8743'__422 :: T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__422 :: T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__422 T_Lattice_394
v0
  = case T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0 of
      C_constructor_498 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 T_IsLattice_348
v6 -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v5
      T_Lattice_394
_ -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.Lattice.isLattice
d_isLattice_424 ::
  T_Lattice_394 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsLattice_348
d_isLattice_424 :: T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 T_Lattice_394
v0
  = case T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0 of
      C_constructor_498 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 T_IsLattice_348
v6 -> T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v6
      T_Lattice_394
_ -> T_IsLattice_348
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.Lattice._.antisym
d_antisym_428 ::
  T_Lattice_394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_428 :: T_Lattice_394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_428 T_Lattice_394
v0
  = (T_IsPartialOrder_248
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_258
      ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
         ((T_Lattice_394 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> AgdaAny
forall a b. a -> b
coe T_Lattice_394
v0)))
-- Relation.Binary.Lattice.Bundles.Lattice._.infimum
d_infimum_430 ::
  T_Lattice_394 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_infimum_430 :: T_Lattice_394 -> AgdaAny -> AgdaAny -> T_Σ_14
d_infimum_430 T_Lattice_394
v0
  = (T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_infimum_364
      ((T_Lattice_394 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> AgdaAny
forall a b. a -> b
coe T_Lattice_394
v0))
-- Relation.Binary.Lattice.Bundles.Lattice._.isEquivalence
d_isEquivalence_432 ::
  T_Lattice_394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_432 :: T_Lattice_394 -> T_IsEquivalence_28
d_isEquivalence_432 T_Lattice_394
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
            ((T_Lattice_394 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> AgdaAny
forall a b. a -> b
coe T_Lattice_394
v0))))
-- Relation.Binary.Lattice.Bundles.Lattice._.isJoinSemilattice
d_isJoinSemilattice_434 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsJoinSemilattice_22
d_isJoinSemilattice_434 :: () -> () -> () -> T_Lattice_394 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_434 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3
  = T_Lattice_394 -> T_IsJoinSemilattice_22
du_isJoinSemilattice_434 T_Lattice_394
v3
du_isJoinSemilattice_434 ::
  T_Lattice_394 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsJoinSemilattice_22
du_isJoinSemilattice_434 :: T_Lattice_394 -> T_IsJoinSemilattice_22
du_isJoinSemilattice_434 T_Lattice_394
v0
  = (T_IsLattice_348 -> T_IsJoinSemilattice_22)
-> AgdaAny -> T_IsJoinSemilattice_22
forall a b. a -> b
coe
      T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
      ((T_Lattice_394 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> AgdaAny
forall a b. a -> b
coe T_Lattice_394
v0))
-- Relation.Binary.Lattice.Bundles.Lattice._.isMeetSemilattice
d_isMeetSemilattice_436 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsMeetSemilattice_184
d_isMeetSemilattice_436 :: () -> () -> () -> T_Lattice_394 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_436 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3
  = T_Lattice_394 -> T_IsMeetSemilattice_184
du_isMeetSemilattice_436 T_Lattice_394
v3
du_isMeetSemilattice_436 ::
  T_Lattice_394 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsMeetSemilattice_184
du_isMeetSemilattice_436 :: T_Lattice_394 -> T_IsMeetSemilattice_184
du_isMeetSemilattice_436 T_Lattice_394
v0
  = (T_IsLattice_348 -> T_IsMeetSemilattice_184)
-> AgdaAny -> T_IsMeetSemilattice_184
forall a b. a -> b
coe
      T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
      ((T_Lattice_394 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> AgdaAny
forall a b. a -> b
coe T_Lattice_394
v0))
-- Relation.Binary.Lattice.Bundles.Lattice._.isPartialOrder
d_isPartialOrder_438 ::
  T_Lattice_394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_248
d_isPartialOrder_438 :: T_Lattice_394 -> T_IsPartialOrder_248
d_isPartialOrder_438 T_Lattice_394
v0
  = (T_IsLattice_348 -> T_IsPartialOrder_248)
-> AgdaAny -> T_IsPartialOrder_248
forall a b. a -> b
coe
      T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
      ((T_Lattice_394 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> AgdaAny
forall a b. a -> b
coe T_Lattice_394
v0))
-- Relation.Binary.Lattice.Bundles.Lattice._.isPreorder
d_isPreorder_440 ::
  T_Lattice_394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
d_isPreorder_440 :: T_Lattice_394 -> T_IsPreorder_76
d_isPreorder_440 T_Lattice_394
v0
  = (T_IsPartialOrder_248 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
      T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
      ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
         ((T_Lattice_394 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> AgdaAny
forall a b. a -> b
coe T_Lattice_394
v0)))
-- Relation.Binary.Lattice.Bundles.Lattice._.refl
d_refl_442 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 -> AgdaAny -> AgdaAny
d_refl_442 :: () -> () -> () -> T_Lattice_394 -> AgdaAny -> AgdaAny
d_refl_442 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3 = T_Lattice_394 -> AgdaAny -> AgdaAny
du_refl_442 T_Lattice_394
v3
du_refl_442 :: T_Lattice_394 -> AgdaAny -> AgdaAny
du_refl_442 :: T_Lattice_394 -> AgdaAny -> AgdaAny
du_refl_442 T_Lattice_394
v0
  = let v1 :: T_IsLattice_348
v1 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                 (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_104
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.Lattice._.reflexive
d_reflexive_444 ::
  T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_444 :: T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_444 T_Lattice_394
v0
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_88
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
            ((T_Lattice_394 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> AgdaAny
forall a b. a -> b
coe T_Lattice_394
v0))))
-- Relation.Binary.Lattice.Bundles.Lattice._.supremum
d_supremum_446 ::
  T_Lattice_394 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_supremum_446 :: T_Lattice_394 -> AgdaAny -> AgdaAny -> T_Σ_14
d_supremum_446 T_Lattice_394
v0
  = (T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_supremum_362
      ((T_Lattice_394 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> AgdaAny
forall a b. a -> b
coe T_Lattice_394
v0))
-- Relation.Binary.Lattice.Bundles.Lattice._.trans
d_trans_448 ::
  T_Lattice_394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_448 :: T_Lattice_394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_448 T_Lattice_394
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
            ((T_Lattice_394 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> AgdaAny
forall a b. a -> b
coe T_Lattice_394
v0))))
-- Relation.Binary.Lattice.Bundles.Lattice._.x∧y≤x
d_x'8743'y'8804'x_450 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8743'y'8804'x_450 :: () -> () -> () -> T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8743'y'8804'x_450 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3 = T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_450 T_Lattice_394
v3
du_x'8743'y'8804'x_450 ::
  T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_450 :: T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_450 T_Lattice_394
v0
  = let v1 :: T_IsLattice_348
v1 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8743'y'8804'x_200
         ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
            (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v1)))
-- Relation.Binary.Lattice.Bundles.Lattice._.x∧y≤y
d_x'8743'y'8804'y_452 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8743'y'8804'y_452 :: () -> () -> () -> T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8743'y'8804'y_452 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3 = T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_452 T_Lattice_394
v3
du_x'8743'y'8804'y_452 ::
  T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_452 :: T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_452 T_Lattice_394
v0
  = let v1 :: T_IsLattice_348
v1 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8743'y'8804'y_212
         ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
            (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v1)))
-- Relation.Binary.Lattice.Bundles.Lattice._.x≤x∨y
d_x'8804'x'8744'y_454 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'x'8744'y_454 :: () -> () -> () -> T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'x'8744'y_454 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3 = T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_454 T_Lattice_394
v3
du_x'8804'x'8744'y_454 ::
  T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_454 :: T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_454 T_Lattice_394
v0
  = let v1 :: T_IsLattice_348
v1 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8804'x'8744'y_38
         ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
            (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v1)))
-- Relation.Binary.Lattice.Bundles.Lattice._.y≤x∨y
d_y'8804'x'8744'y_456 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
d_y'8804'x'8744'y_456 :: () -> () -> () -> T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
d_y'8804'x'8744'y_456 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3 = T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_456 T_Lattice_394
v3
du_y'8804'x'8744'y_456 ::
  T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_456 :: T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_456 T_Lattice_394
v0
  = let v1 :: T_IsLattice_348
v1 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_y'8804'x'8744'y_50
         ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
            (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v1)))
-- Relation.Binary.Lattice.Bundles.Lattice._.∧-greatest
d_'8743''45'greatest_458 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45'greatest_458 :: ()
-> ()
-> ()
-> T_Lattice_394
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8743''45'greatest_458 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3
  = T_Lattice_394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_458 T_Lattice_394
v3
du_'8743''45'greatest_458 ::
  T_Lattice_394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_458 :: T_Lattice_394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_458 T_Lattice_394
v0
  = let v1 :: T_IsLattice_348
v1 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsMeetSemilattice_184
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsMeetSemilattice_184
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_'8743''45'greatest_226
         ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
            (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v1)))
-- Relation.Binary.Lattice.Bundles.Lattice._.∨-least
d_'8744''45'least_460 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8744''45'least_460 :: ()
-> ()
-> ()
-> T_Lattice_394
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8744''45'least_460 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3 = T_Lattice_394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_460 T_Lattice_394
v3
du_'8744''45'least_460 ::
  T_Lattice_394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_460 :: T_Lattice_394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_460 T_Lattice_394
v0
  = let v1 :: T_IsLattice_348
v1 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsJoinSemilattice_22
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsJoinSemilattice_22
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_'8744''45'least_64
         ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
            (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v1)))
-- Relation.Binary.Lattice.Bundles.Lattice._.∼-resp-≈
d_'8764''45'resp'45''8776'_462 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_462 :: () -> () -> () -> T_Lattice_394 -> T_Σ_14
d_'8764''45'resp'45''8776'_462 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3
  = T_Lattice_394 -> T_Σ_14
du_'8764''45'resp'45''8776'_462 T_Lattice_394
v3
du_'8764''45'resp'45''8776'_462 ::
  T_Lattice_394 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_462 :: T_Lattice_394 -> T_Σ_14
du_'8764''45'resp'45''8776'_462 T_Lattice_394
v0
  = let v1 :: T_IsLattice_348
v1 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                 (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_124
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.Lattice._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_464 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_464 :: ()
-> ()
-> ()
-> T_Lattice_394
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_464 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3
  = T_Lattice_394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_464 T_Lattice_394
v3
du_'8764''45'resp'691''45''8776'_464 ::
  T_Lattice_394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_464 :: T_Lattice_394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_464 T_Lattice_394
v0
  = let v1 :: T_IsLattice_348
v1 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                 (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_122
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.Lattice._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_466 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_466 :: ()
-> ()
-> ()
-> T_Lattice_394
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_466 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3
  = T_Lattice_394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_466 T_Lattice_394
v3
du_'8764''45'resp'737''45''8776'_466 ::
  T_Lattice_394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_466 :: T_Lattice_394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_466 T_Lattice_394
v0
  = let v1 :: T_IsLattice_348
v1 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                 (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_120
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.Lattice._.≲-resp-≈
d_'8818''45'resp'45''8776'_468 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_468 :: () -> () -> () -> T_Lattice_394 -> T_Σ_14
d_'8818''45'resp'45''8776'_468 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3
  = T_Lattice_394 -> T_Σ_14
du_'8818''45'resp'45''8776'_468 T_Lattice_394
v3
du_'8818''45'resp'45''8776'_468 ::
  T_Lattice_394 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_468 :: T_Lattice_394 -> T_Σ_14
du_'8818''45'resp'45''8776'_468 T_Lattice_394
v0
  = let v1 :: T_IsLattice_348
v1 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                 (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_118
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.Lattice._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_470 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_470 :: ()
-> ()
-> ()
-> T_Lattice_394
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_470 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3
  = T_Lattice_394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_470 T_Lattice_394
v3
du_'8818''45'resp'691''45''8776'_470 ::
  T_Lattice_394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_470 :: T_Lattice_394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_470 T_Lattice_394
v0
  = let v1 :: T_IsLattice_348
v1 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                 (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_112
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.Lattice._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_472 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_472 :: ()
-> ()
-> ()
-> T_Lattice_394
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_472 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3
  = T_Lattice_394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_472 T_Lattice_394
v3
du_'8818''45'resp'737''45''8776'_472 ::
  T_Lattice_394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_472 :: T_Lattice_394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_472 T_Lattice_394
v0
  = let v1 :: T_IsLattice_348
v1 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                 (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Lattice.Bundles.Lattice._.Eq.isPartialEquivalence
d_isPartialEquivalence_476 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_476 :: () -> () -> () -> T_Lattice_394 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_476 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3
  = T_Lattice_394 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_476 T_Lattice_394
v3
du_isPartialEquivalence_476 ::
  T_Lattice_394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_476 :: T_Lattice_394 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_476 T_Lattice_394
v0
  = let v1 :: T_IsLattice_348
v1 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                 (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPreorder_76
v3
                = T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                    (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
               ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                  (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v3)))))
-- Relation.Binary.Lattice.Bundles.Lattice._.Eq.refl
d_refl_478 :: T_Lattice_394 -> AgdaAny -> AgdaAny
d_refl_478 :: T_Lattice_394 -> AgdaAny -> AgdaAny
d_refl_478 T_Lattice_394
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
               ((T_Lattice_394 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> AgdaAny
forall a b. a -> b
coe T_Lattice_394
v0)))))
-- Relation.Binary.Lattice.Bundles.Lattice._.Eq.reflexive
d_reflexive_480 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_480 :: ()
-> ()
-> ()
-> T_Lattice_394
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_480 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3 = T_Lattice_394 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_480 T_Lattice_394
v3
du_reflexive_480 ::
  T_Lattice_394 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_480 :: T_Lattice_394 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_480 T_Lattice_394
v0
  = let v1 :: T_IsLattice_348
v1 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2
             = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                 (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPreorder_76
v3
                = T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                    (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v2) in
          (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
            (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
               (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
                 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                    (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v3))
                 AgdaAny
v4)))
-- Relation.Binary.Lattice.Bundles.Lattice._.Eq.sym
d_sym_482 ::
  T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_482 :: T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_482 T_Lattice_394
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
               ((T_Lattice_394 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> AgdaAny
forall a b. a -> b
coe T_Lattice_394
v0)))))
-- Relation.Binary.Lattice.Bundles.Lattice._.Eq.trans
d_trans_484 ::
  T_Lattice_394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_484 :: T_Lattice_394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_484 T_Lattice_394
v0
  = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
               ((T_Lattice_394 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> AgdaAny
forall a b. a -> b
coe T_Lattice_394
v0)))))
-- Relation.Binary.Lattice.Bundles.Lattice.setoid
d_setoid_486 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 -> MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_46
d_setoid_486 :: () -> () -> () -> T_Lattice_394 -> T_Setoid_46
d_setoid_486 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3 = T_Lattice_394 -> T_Setoid_46
du_setoid_486 T_Lattice_394
v3
du_setoid_486 ::
  T_Lattice_394 -> MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_46
du_setoid_486 :: T_Lattice_394 -> T_Setoid_46
du_setoid_486 T_Lattice_394
v0
  = (T_IsEquivalence_28 -> T_Setoid_46)
-> T_IsEquivalence_28 -> T_Setoid_46
forall a b. a -> b
coe
      T_IsEquivalence_28 -> T_Setoid_46
MAlonzo.Code.Relation.Binary.Bundles.C_constructor_84
      (T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
               ((T_Lattice_394 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> AgdaAny
forall a b. a -> b
coe T_Lattice_394
v0)))))
-- Relation.Binary.Lattice.Bundles.Lattice.joinSemilattice
d_joinSemilattice_488 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 -> T_JoinSemilattice_14
d_joinSemilattice_488 :: () -> () -> () -> T_Lattice_394 -> T_JoinSemilattice_14
d_joinSemilattice_488 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3 = T_Lattice_394 -> T_JoinSemilattice_14
du_joinSemilattice_488 T_Lattice_394
v3
du_joinSemilattice_488 :: T_Lattice_394 -> T_JoinSemilattice_14
du_joinSemilattice_488 :: T_Lattice_394 -> T_JoinSemilattice_14
du_joinSemilattice_488 T_Lattice_394
v0
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsJoinSemilattice_22 -> T_JoinSemilattice_14)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> T_JoinSemilattice_14
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsJoinSemilattice_22 -> T_JoinSemilattice_14
C_constructor_96 (T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__420 (T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0))
      ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
         ((T_Lattice_394 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> AgdaAny
forall a b. a -> b
coe T_Lattice_394
v0)))
-- Relation.Binary.Lattice.Bundles.Lattice.meetSemilattice
d_meetSemilattice_490 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 -> T_MeetSemilattice_204
d_meetSemilattice_490 :: () -> () -> () -> T_Lattice_394 -> T_MeetSemilattice_204
d_meetSemilattice_490 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3 = T_Lattice_394 -> T_MeetSemilattice_204
du_meetSemilattice_490 T_Lattice_394
v3
du_meetSemilattice_490 :: T_Lattice_394 -> T_MeetSemilattice_204
du_meetSemilattice_490 :: T_Lattice_394 -> T_MeetSemilattice_204
du_meetSemilattice_490 T_Lattice_394
v0
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsMeetSemilattice_184 -> T_MeetSemilattice_204)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> T_MeetSemilattice_204
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMeetSemilattice_184 -> T_MeetSemilattice_204
C_constructor_286 (T_Lattice_394 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__422 (T_Lattice_394 -> T_Lattice_394
forall a b. a -> b
coe T_Lattice_394
v0))
      ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
         ((T_Lattice_394 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (T_Lattice_394 -> AgdaAny
forall a b. a -> b
coe T_Lattice_394
v0)))
-- Relation.Binary.Lattice.Bundles.Lattice._.poset
d_poset_494 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 -> MAlonzo.Code.Relation.Binary.Bundles.T_Poset_492
d_poset_494 :: () -> () -> () -> T_Lattice_394 -> T_Poset_492
d_poset_494 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3 = T_Lattice_394 -> T_Poset_492
du_poset_494 T_Lattice_394
v3
du_poset_494 ::
  T_Lattice_394 -> MAlonzo.Code.Relation.Binary.Bundles.T_Poset_492
du_poset_494 :: T_Lattice_394 -> T_Poset_492
du_poset_494 T_Lattice_394
v0
  = (T_JoinSemilattice_14 -> T_Poset_492) -> AgdaAny -> T_Poset_492
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_Poset_492
du_poset_90 ((T_Lattice_394 -> T_JoinSemilattice_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_JoinSemilattice_14
du_joinSemilattice_488 (T_Lattice_394 -> AgdaAny
forall a b. a -> b
coe T_Lattice_394
v0))
-- Relation.Binary.Lattice.Bundles.Lattice._.preorder
d_preorder_496 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Lattice_394 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_142
d_preorder_496 :: () -> () -> () -> T_Lattice_394 -> T_Preorder_142
d_preorder_496 ~()
v0 ~()
v1 ~()
v2 T_Lattice_394
v3 = T_Lattice_394 -> T_Preorder_142
du_preorder_496 T_Lattice_394
v3
du_preorder_496 ::
  T_Lattice_394 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_142
du_preorder_496 :: T_Lattice_394 -> T_Preorder_142
du_preorder_496 T_Lattice_394
v0
  = let v1 :: AgdaAny
v1 = (T_Lattice_394 -> T_JoinSemilattice_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_JoinSemilattice_14
du_joinSemilattice_488 (T_Lattice_394 -> AgdaAny
forall a b. a -> b
coe T_Lattice_394
v0) in
    AgdaAny -> T_Preorder_142
forall a b. a -> b
coe
      ((T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Poset_492 -> T_Preorder_142
MAlonzo.Code.Relation.Binary.Bundles.du_preorder_522
         ((T_JoinSemilattice_14 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_Poset_492
du_poset_90 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice
d_DistributiveLattice_506 :: p -> p -> p -> ()
d_DistributiveLattice_506 p
a0 p
a1 p
a2 = ()
data T_DistributiveLattice_506
  = C_constructor_620 (AgdaAny -> AgdaAny -> AgdaAny)
                      (AgdaAny -> AgdaAny -> AgdaAny)
                      MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsDistributiveLattice_430
-- Relation.Binary.Lattice.Bundles.DistributiveLattice.Carrier
d_Carrier_526 :: T_DistributiveLattice_506 -> ()
d_Carrier_526 :: T_DistributiveLattice_506 -> ()
d_Carrier_526 = T_DistributiveLattice_506 -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._≈_
d__'8776'__528 ::
  T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> ()
d__'8776'__528 :: T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> ()
d__'8776'__528 = T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._≤_
d__'8804'__530 ::
  T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> ()
d__'8804'__530 :: T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> ()
d__'8804'__530 = T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._∨_
d__'8744'__532 ::
  T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__532 :: T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__532 T_DistributiveLattice_506
v0
  = case T_DistributiveLattice_506 -> T_DistributiveLattice_506
forall a b. a -> b
coe T_DistributiveLattice_506
v0 of
      C_constructor_620 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 T_IsDistributiveLattice_430
v6 -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v4
      T_DistributiveLattice_506
_ -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._∧_
d__'8743'__534 ::
  T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__534 :: T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__534 T_DistributiveLattice_506
v0
  = case T_DistributiveLattice_506 -> T_DistributiveLattice_506
forall a b. a -> b
coe T_DistributiveLattice_506
v0 of
      C_constructor_620 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 T_IsDistributiveLattice_430
v6 -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v5
      T_DistributiveLattice_506
_ -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.DistributiveLattice.isDistributiveLattice
d_isDistributiveLattice_536 ::
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsDistributiveLattice_430
d_isDistributiveLattice_536 :: T_DistributiveLattice_506 -> T_IsDistributiveLattice_430
d_isDistributiveLattice_536 T_DistributiveLattice_506
v0
  = case T_DistributiveLattice_506 -> T_DistributiveLattice_506
forall a b. a -> b
coe T_DistributiveLattice_506
v0 of
      C_constructor_620 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 T_IsDistributiveLattice_430
v6 -> T_IsDistributiveLattice_430 -> T_IsDistributiveLattice_430
forall a b. a -> b
coe T_IsDistributiveLattice_430
v6
      T_DistributiveLattice_506
_ -> T_IsDistributiveLattice_430
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.∧-distribˡ-∨
d_'8743''45'distrib'737''45''8744'_540 ::
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45'distrib'737''45''8744'_540 :: T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45'distrib'737''45''8744'_540 T_DistributiveLattice_506
v0
  = (T_IsDistributiveLattice_430
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsDistributiveLattice_430
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_'8743''45'distrib'737''45''8744'_442
      ((T_DistributiveLattice_506 -> T_IsDistributiveLattice_430)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_IsDistributiveLattice_430
d_isDistributiveLattice_536 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice.lattice
d_lattice_546 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 -> T_Lattice_394
d_lattice_546 :: () -> () -> () -> T_DistributiveLattice_506 -> T_Lattice_394
d_lattice_546 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 T_DistributiveLattice_506
v3
du_lattice_546 :: T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 :: T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 T_DistributiveLattice_506
v0
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsLattice_348
 -> T_Lattice_394)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_348
-> T_Lattice_394
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_348
-> T_Lattice_394
C_constructor_498 (T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__532 (T_DistributiveLattice_506 -> T_DistributiveLattice_506
forall a b. a -> b
coe T_DistributiveLattice_506
v0))
      (T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__534 (T_DistributiveLattice_506 -> T_DistributiveLattice_506
forall a b. a -> b
coe T_DistributiveLattice_506
v0))
      (T_IsDistributiveLattice_430 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_440
         ((T_DistributiveLattice_506 -> T_IsDistributiveLattice_430)
-> AgdaAny -> T_IsDistributiveLattice_430
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_IsDistributiveLattice_430
d_isDistributiveLattice_536 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0)))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.antisym
d_antisym_550 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_550 :: ()
-> ()
-> ()
-> T_DistributiveLattice_506
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_antisym_550 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_550 T_DistributiveLattice_506
v3
du_antisym_550 ::
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_550 :: T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_550 T_DistributiveLattice_506
v0
  = (T_IsPartialOrder_248
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_258
      ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
         ((T_IsDistributiveLattice_430 -> T_IsLattice_348)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_430 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_440
            ((T_DistributiveLattice_506 -> T_IsDistributiveLattice_430)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_IsDistributiveLattice_430
d_isDistributiveLattice_536 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.infimum
d_infimum_552 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_infimum_552 :: ()
-> ()
-> ()
-> T_DistributiveLattice_506
-> AgdaAny
-> AgdaAny
-> T_Σ_14
d_infimum_552 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> T_Σ_14
du_infimum_552 T_DistributiveLattice_506
v3
du_infimum_552 ::
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_infimum_552 :: T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> T_Σ_14
du_infimum_552 T_DistributiveLattice_506
v0
  = (T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_infimum_364
      ((T_IsDistributiveLattice_430 -> T_IsLattice_348)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDistributiveLattice_430 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_440
         ((T_DistributiveLattice_506 -> T_IsDistributiveLattice_430)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_IsDistributiveLattice_430
d_isDistributiveLattice_536 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0)))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.isEquivalence
d_isEquivalence_554 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_554 :: () -> () -> () -> T_DistributiveLattice_506 -> T_IsEquivalence_28
d_isEquivalence_554 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506 -> T_IsEquivalence_28
du_isEquivalence_554 T_DistributiveLattice_506
v3
du_isEquivalence_554 ::
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_554 :: T_DistributiveLattice_506 -> T_IsEquivalence_28
du_isEquivalence_554 T_DistributiveLattice_506
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
            ((T_IsDistributiveLattice_430 -> T_IsLattice_348)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDistributiveLattice_430 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_440
               ((T_DistributiveLattice_506 -> T_IsDistributiveLattice_430)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_IsDistributiveLattice_430
d_isDistributiveLattice_536 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0)))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.isJoinSemilattice
d_isJoinSemilattice_556 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsJoinSemilattice_22
d_isJoinSemilattice_556 :: ()
-> () -> () -> T_DistributiveLattice_506 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_556 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3
  = T_DistributiveLattice_506 -> T_IsJoinSemilattice_22
du_isJoinSemilattice_556 T_DistributiveLattice_506
v3
du_isJoinSemilattice_556 ::
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsJoinSemilattice_22
du_isJoinSemilattice_556 :: T_DistributiveLattice_506 -> T_IsJoinSemilattice_22
du_isJoinSemilattice_556 T_DistributiveLattice_506
v0
  = let v1 :: AgdaAny
v1 = (T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0) in
    AgdaAny -> T_IsJoinSemilattice_22
forall a b. a -> b
coe
      ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
         ((T_Lattice_394 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.isLattice
d_isLattice_558 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsLattice_348
d_isLattice_558 :: () -> () -> () -> T_DistributiveLattice_506 -> T_IsLattice_348
d_isLattice_558 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506 -> T_IsLattice_348
du_isLattice_558 T_DistributiveLattice_506
v3
du_isLattice_558 ::
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsLattice_348
du_isLattice_558 :: T_DistributiveLattice_506 -> T_IsLattice_348
du_isLattice_558 T_DistributiveLattice_506
v0
  = (T_IsDistributiveLattice_430 -> T_IsLattice_348)
-> AgdaAny -> T_IsLattice_348
forall a b. a -> b
coe
      T_IsDistributiveLattice_430 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_440
      ((T_DistributiveLattice_506 -> T_IsDistributiveLattice_430)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_IsDistributiveLattice_430
d_isDistributiveLattice_536 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.isMeetSemilattice
d_isMeetSemilattice_560 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsMeetSemilattice_184
d_isMeetSemilattice_560 :: ()
-> () -> () -> T_DistributiveLattice_506 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_560 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3
  = T_DistributiveLattice_506 -> T_IsMeetSemilattice_184
du_isMeetSemilattice_560 T_DistributiveLattice_506
v3
du_isMeetSemilattice_560 ::
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsMeetSemilattice_184
du_isMeetSemilattice_560 :: T_DistributiveLattice_506 -> T_IsMeetSemilattice_184
du_isMeetSemilattice_560 T_DistributiveLattice_506
v0
  = let v1 :: AgdaAny
v1 = (T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0) in
    AgdaAny -> T_IsMeetSemilattice_184
forall a b. a -> b
coe
      ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
         ((T_Lattice_394 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.isPartialOrder
d_isPartialOrder_562 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_248
d_isPartialOrder_562 :: () -> () -> () -> T_DistributiveLattice_506 -> T_IsPartialOrder_248
d_isPartialOrder_562 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506 -> T_IsPartialOrder_248
du_isPartialOrder_562 T_DistributiveLattice_506
v3
du_isPartialOrder_562 ::
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_248
du_isPartialOrder_562 :: T_DistributiveLattice_506 -> T_IsPartialOrder_248
du_isPartialOrder_562 T_DistributiveLattice_506
v0
  = (T_IsLattice_348 -> T_IsPartialOrder_248)
-> AgdaAny -> T_IsPartialOrder_248
forall a b. a -> b
coe
      T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
      ((T_IsDistributiveLattice_430 -> T_IsLattice_348)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDistributiveLattice_430 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_440
         ((T_DistributiveLattice_506 -> T_IsDistributiveLattice_430)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_IsDistributiveLattice_430
d_isDistributiveLattice_536 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0)))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.isPreorder
d_isPreorder_564 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
d_isPreorder_564 :: () -> () -> () -> T_DistributiveLattice_506 -> T_IsPreorder_76
d_isPreorder_564 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506 -> T_IsPreorder_76
du_isPreorder_564 T_DistributiveLattice_506
v3
du_isPreorder_564 ::
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
du_isPreorder_564 :: T_DistributiveLattice_506 -> T_IsPreorder_76
du_isPreorder_564 T_DistributiveLattice_506
v0
  = (T_IsPartialOrder_248 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
      T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
      ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
         ((T_IsDistributiveLattice_430 -> T_IsLattice_348)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_430 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_440
            ((T_DistributiveLattice_506 -> T_IsDistributiveLattice_430)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_IsDistributiveLattice_430
d_isDistributiveLattice_536 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.joinSemilattice
d_joinSemilattice_566 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 -> T_JoinSemilattice_14
d_joinSemilattice_566 :: () -> () -> () -> T_DistributiveLattice_506 -> T_JoinSemilattice_14
d_joinSemilattice_566 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506 -> T_JoinSemilattice_14
du_joinSemilattice_566 T_DistributiveLattice_506
v3
du_joinSemilattice_566 ::
  T_DistributiveLattice_506 -> T_JoinSemilattice_14
du_joinSemilattice_566 :: T_DistributiveLattice_506 -> T_JoinSemilattice_14
du_joinSemilattice_566 T_DistributiveLattice_506
v0
  = (T_Lattice_394 -> T_JoinSemilattice_14)
-> AgdaAny -> T_JoinSemilattice_14
forall a b. a -> b
coe T_Lattice_394 -> T_JoinSemilattice_14
du_joinSemilattice_488 ((T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.meetSemilattice
d_meetSemilattice_568 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 -> T_MeetSemilattice_204
d_meetSemilattice_568 :: ()
-> () -> () -> T_DistributiveLattice_506 -> T_MeetSemilattice_204
d_meetSemilattice_568 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506 -> T_MeetSemilattice_204
du_meetSemilattice_568 T_DistributiveLattice_506
v3
du_meetSemilattice_568 ::
  T_DistributiveLattice_506 -> T_MeetSemilattice_204
du_meetSemilattice_568 :: T_DistributiveLattice_506 -> T_MeetSemilattice_204
du_meetSemilattice_568 T_DistributiveLattice_506
v0
  = (T_Lattice_394 -> T_MeetSemilattice_204)
-> AgdaAny -> T_MeetSemilattice_204
forall a b. a -> b
coe T_Lattice_394 -> T_MeetSemilattice_204
du_meetSemilattice_490 ((T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.poset
d_poset_570 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_492
d_poset_570 :: () -> () -> () -> T_DistributiveLattice_506 -> T_Poset_492
d_poset_570 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506 -> T_Poset_492
du_poset_570 T_DistributiveLattice_506
v3
du_poset_570 ::
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_492
du_poset_570 :: T_DistributiveLattice_506 -> T_Poset_492
du_poset_570 T_DistributiveLattice_506
v0
  = let v1 :: AgdaAny
v1 = (T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0) in
    AgdaAny -> T_Poset_492
forall a b. a -> b
coe ((T_JoinSemilattice_14 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_Poset_492
du_poset_90 ((T_Lattice_394 -> T_JoinSemilattice_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_JoinSemilattice_14
du_joinSemilattice_488 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.preorder
d_preorder_572 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_142
d_preorder_572 :: () -> () -> () -> T_DistributiveLattice_506 -> T_Preorder_142
d_preorder_572 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506 -> T_Preorder_142
du_preorder_572 T_DistributiveLattice_506
v3
du_preorder_572 ::
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_142
du_preorder_572 :: T_DistributiveLattice_506 -> T_Preorder_142
du_preorder_572 T_DistributiveLattice_506
v0
  = let v1 :: AgdaAny
v1 = (T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0) in
    AgdaAny -> T_Preorder_142
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Lattice_394 -> T_JoinSemilattice_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_JoinSemilattice_14
du_joinSemilattice_488 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Poset_492 -> T_Preorder_142
MAlonzo.Code.Relation.Binary.Bundles.du_preorder_522
            ((T_JoinSemilattice_14 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_Poset_492
du_poset_90 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.refl
d_refl_574 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 -> AgdaAny -> AgdaAny
d_refl_574 :: () -> () -> () -> T_DistributiveLattice_506 -> AgdaAny -> AgdaAny
d_refl_574 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506 -> AgdaAny -> AgdaAny
du_refl_574 T_DistributiveLattice_506
v3
du_refl_574 :: T_DistributiveLattice_506 -> AgdaAny -> AgdaAny
du_refl_574 :: T_DistributiveLattice_506 -> AgdaAny -> AgdaAny
du_refl_574 T_DistributiveLattice_506
v0
  = let v1 :: AgdaAny
v1 = (T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (AgdaAny -> T_Lattice_394
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                    (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_104
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.reflexive
d_reflexive_576 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_576 :: ()
-> ()
-> ()
-> T_DistributiveLattice_506
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_reflexive_576 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_576 T_DistributiveLattice_506
v3
du_reflexive_576 ::
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_576 :: T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_576 T_DistributiveLattice_506
v0
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_88
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
            ((T_IsDistributiveLattice_430 -> T_IsLattice_348)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDistributiveLattice_430 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_440
               ((T_DistributiveLattice_506 -> T_IsDistributiveLattice_430)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_IsDistributiveLattice_430
d_isDistributiveLattice_536 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0)))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.setoid
d_setoid_578 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_46
d_setoid_578 :: () -> () -> () -> T_DistributiveLattice_506 -> T_Setoid_46
d_setoid_578 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506 -> T_Setoid_46
du_setoid_578 T_DistributiveLattice_506
v3
du_setoid_578 ::
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_46
du_setoid_578 :: T_DistributiveLattice_506 -> T_Setoid_46
du_setoid_578 T_DistributiveLattice_506
v0 = (T_Lattice_394 -> T_Setoid_46) -> AgdaAny -> T_Setoid_46
forall a b. a -> b
coe T_Lattice_394 -> T_Setoid_46
du_setoid_486 ((T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.supremum
d_supremum_580 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_supremum_580 :: ()
-> ()
-> ()
-> T_DistributiveLattice_506
-> AgdaAny
-> AgdaAny
-> T_Σ_14
d_supremum_580 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> T_Σ_14
du_supremum_580 T_DistributiveLattice_506
v3
du_supremum_580 ::
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_supremum_580 :: T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> T_Σ_14
du_supremum_580 T_DistributiveLattice_506
v0
  = (T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_supremum_362
      ((T_IsDistributiveLattice_430 -> T_IsLattice_348)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDistributiveLattice_430 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_440
         ((T_DistributiveLattice_506 -> T_IsDistributiveLattice_430)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_IsDistributiveLattice_430
d_isDistributiveLattice_536 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0)))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.trans
d_trans_582 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_582 :: ()
-> ()
-> ()
-> T_DistributiveLattice_506
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_582 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_582 T_DistributiveLattice_506
v3
du_trans_582 ::
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_582 :: T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_582 T_DistributiveLattice_506
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
            ((T_IsDistributiveLattice_430 -> T_IsLattice_348)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDistributiveLattice_430 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_440
               ((T_DistributiveLattice_506 -> T_IsDistributiveLattice_430)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_IsDistributiveLattice_430
d_isDistributiveLattice_536 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0)))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.x∧y≤x
d_x'8743'y'8804'x_584 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8743'y'8804'x_584 :: ()
-> ()
-> ()
-> T_DistributiveLattice_506
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8743'y'8804'x_584 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_584 T_DistributiveLattice_506
v3
du_x'8743'y'8804'x_584 ::
  T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_584 :: T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_584 T_DistributiveLattice_506
v0
  = let v1 :: AgdaAny
v1 = (T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (AgdaAny -> T_Lattice_394
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8743'y'8804'x_200
            ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
               (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v2))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.x∧y≤y
d_x'8743'y'8804'y_586 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8743'y'8804'y_586 :: ()
-> ()
-> ()
-> T_DistributiveLattice_506
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8743'y'8804'y_586 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_586 T_DistributiveLattice_506
v3
du_x'8743'y'8804'y_586 ::
  T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_586 :: T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_586 T_DistributiveLattice_506
v0
  = let v1 :: AgdaAny
v1 = (T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (AgdaAny -> T_Lattice_394
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8743'y'8804'y_212
            ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
               (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v2))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.x≤x∨y
d_x'8804'x'8744'y_588 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'x'8744'y_588 :: ()
-> ()
-> ()
-> T_DistributiveLattice_506
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'x'8744'y_588 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_588 T_DistributiveLattice_506
v3
du_x'8804'x'8744'y_588 ::
  T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_588 :: T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_588 T_DistributiveLattice_506
v0
  = let v1 :: AgdaAny
v1 = (T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (AgdaAny -> T_Lattice_394
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8804'x'8744'y_38
            ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
               (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v2))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.y≤x∨y
d_y'8804'x'8744'y_590 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
d_y'8804'x'8744'y_590 :: ()
-> ()
-> ()
-> T_DistributiveLattice_506
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_y'8804'x'8744'y_590 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_590 T_DistributiveLattice_506
v3
du_y'8804'x'8744'y_590 ::
  T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_590 :: T_DistributiveLattice_506 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_590 T_DistributiveLattice_506
v0
  = let v1 :: AgdaAny
v1 = (T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (AgdaAny -> T_Lattice_394
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_y'8804'x'8744'y_50
            ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
               (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v2))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.∧-greatest
d_'8743''45'greatest_592 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45'greatest_592 :: ()
-> ()
-> ()
-> T_DistributiveLattice_506
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8743''45'greatest_592 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3
  = T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_592 T_DistributiveLattice_506
v3
du_'8743''45'greatest_592 ::
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_592 :: T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_592 T_DistributiveLattice_506
v0
  = let v1 :: AgdaAny
v1 = (T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (AgdaAny -> T_Lattice_394
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsMeetSemilattice_184
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsMeetSemilattice_184
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_'8743''45'greatest_226
            ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
               (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v2))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.∨-least
d_'8744''45'least_594 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8744''45'least_594 :: ()
-> ()
-> ()
-> T_DistributiveLattice_506
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8744''45'least_594 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_594 T_DistributiveLattice_506
v3
du_'8744''45'least_594 ::
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_594 :: T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_594 T_DistributiveLattice_506
v0
  = let v1 :: AgdaAny
v1 = (T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (AgdaAny -> T_Lattice_394
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsJoinSemilattice_22
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsJoinSemilattice_22
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_'8744''45'least_64
            ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
               (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v2))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.∼-resp-≈
d_'8764''45'resp'45''8776'_596 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_596 :: () -> () -> () -> T_DistributiveLattice_506 -> T_Σ_14
d_'8764''45'resp'45''8776'_596 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3
  = T_DistributiveLattice_506 -> T_Σ_14
du_'8764''45'resp'45''8776'_596 T_DistributiveLattice_506
v3
du_'8764''45'resp'45''8776'_596 ::
  T_DistributiveLattice_506 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_596 :: T_DistributiveLattice_506 -> T_Σ_14
du_'8764''45'resp'45''8776'_596 T_DistributiveLattice_506
v0
  = let v1 :: AgdaAny
v1 = (T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (AgdaAny -> T_Lattice_394
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                    (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_124
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_598 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_598 :: ()
-> ()
-> ()
-> T_DistributiveLattice_506
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_598 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3
  = T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_598 T_DistributiveLattice_506
v3
du_'8764''45'resp'691''45''8776'_598 ::
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_598 :: T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_598 T_DistributiveLattice_506
v0
  = let v1 :: AgdaAny
v1 = (T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (AgdaAny -> T_Lattice_394
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                    (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_122
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_600 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_600 :: ()
-> ()
-> ()
-> T_DistributiveLattice_506
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_600 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3
  = T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_600 T_DistributiveLattice_506
v3
du_'8764''45'resp'737''45''8776'_600 ::
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_600 :: T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_600 T_DistributiveLattice_506
v0
  = let v1 :: AgdaAny
v1 = (T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (AgdaAny -> T_Lattice_394
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                    (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_120
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.≲-resp-≈
d_'8818''45'resp'45''8776'_602 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_602 :: () -> () -> () -> T_DistributiveLattice_506 -> T_Σ_14
d_'8818''45'resp'45''8776'_602 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3
  = T_DistributiveLattice_506 -> T_Σ_14
du_'8818''45'resp'45''8776'_602 T_DistributiveLattice_506
v3
du_'8818''45'resp'45''8776'_602 ::
  T_DistributiveLattice_506 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_602 :: T_DistributiveLattice_506 -> T_Σ_14
du_'8818''45'resp'45''8776'_602 T_DistributiveLattice_506
v0
  = let v1 :: AgdaAny
v1 = (T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (AgdaAny -> T_Lattice_394
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                    (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_118
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_604 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_604 :: ()
-> ()
-> ()
-> T_DistributiveLattice_506
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_604 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3
  = T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_604 T_DistributiveLattice_506
v3
du_'8818''45'resp'691''45''8776'_604 ::
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_604 :: T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_604 T_DistributiveLattice_506
v0
  = let v1 :: AgdaAny
v1 = (T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (AgdaAny -> T_Lattice_394
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                    (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_112
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_606 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_606 :: ()
-> ()
-> ()
-> T_DistributiveLattice_506
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_606 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3
  = T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_606 T_DistributiveLattice_506
v3
du_'8818''45'resp'737''45''8776'_606 ::
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_606 :: T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_606 T_DistributiveLattice_506
v0
  = let v1 :: AgdaAny
v1 = (T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (AgdaAny -> T_Lattice_394
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                    (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.Eq.isPartialEquivalence
d_isPartialEquivalence_610 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_610 :: ()
-> ()
-> ()
-> T_DistributiveLattice_506
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_610 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3
  = T_DistributiveLattice_506 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_610 T_DistributiveLattice_506
v3
du_isPartialEquivalence_610 ::
  T_DistributiveLattice_506 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_610 :: T_DistributiveLattice_506 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_610 T_DistributiveLattice_506
v0
  = let v1 :: AgdaAny
v1 = (T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (AgdaAny -> T_Lattice_394
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                    (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsPreorder_76
v4
                   = T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                       (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
                  ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                     (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v4))))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.Eq.refl
d_refl_612 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 -> AgdaAny -> AgdaAny
d_refl_612 :: () -> () -> () -> T_DistributiveLattice_506 -> AgdaAny -> AgdaAny
d_refl_612 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506 -> AgdaAny -> AgdaAny
du_refl_612 T_DistributiveLattice_506
v3
du_refl_612 :: T_DistributiveLattice_506 -> AgdaAny -> AgdaAny
du_refl_612 :: T_DistributiveLattice_506 -> AgdaAny -> AgdaAny
du_refl_612 T_DistributiveLattice_506
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
               ((T_IsDistributiveLattice_430 -> T_IsLattice_348)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsDistributiveLattice_430 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_440
                  ((T_DistributiveLattice_506 -> T_IsDistributiveLattice_430)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_IsDistributiveLattice_430
d_isDistributiveLattice_536 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0))))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.Eq.reflexive
d_reflexive_614 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_614 :: ()
-> ()
-> ()
-> T_DistributiveLattice_506
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_614 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_614 T_DistributiveLattice_506
v3
du_reflexive_614 ::
  T_DistributiveLattice_506 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_614 :: T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_614 T_DistributiveLattice_506
v0
  = let v1 :: AgdaAny
v1 = (T_DistributiveLattice_506 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_Lattice_394
du_lattice_546 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2 = T_Lattice_394 -> T_IsLattice_348
d_isLattice_424 (AgdaAny -> T_Lattice_394
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                    (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsPreorder_76
v4
                   = T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                       (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v3) in
             (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
               (\ AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 ->
                  (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
                    ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                       (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v4))
                    AgdaAny
v5))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.Eq.sym
d_sym_616 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_616 :: ()
-> ()
-> ()
-> T_DistributiveLattice_506
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_616 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_616 T_DistributiveLattice_506
v3
du_sym_616 ::
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_616 :: T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_616 T_DistributiveLattice_506
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
               ((T_IsDistributiveLattice_430 -> T_IsLattice_348)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsDistributiveLattice_430 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_440
                  ((T_DistributiveLattice_506 -> T_IsDistributiveLattice_430)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_IsDistributiveLattice_430
d_isDistributiveLattice_536 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0))))))
-- Relation.Binary.Lattice.Bundles.DistributiveLattice._.Eq.trans
d_trans_618 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_618 :: ()
-> ()
-> ()
-> T_DistributiveLattice_506
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_618 ~()
v0 ~()
v1 ~()
v2 T_DistributiveLattice_506
v3 = T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_618 T_DistributiveLattice_506
v3
du_trans_618 ::
  T_DistributiveLattice_506 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_618 :: T_DistributiveLattice_506
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_618 T_DistributiveLattice_506
v0
  = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
               ((T_IsDistributiveLattice_430 -> T_IsLattice_348)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsDistributiveLattice_430 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_440
                  ((T_DistributiveLattice_506 -> T_IsDistributiveLattice_430)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506 -> T_IsDistributiveLattice_430
d_isDistributiveLattice_536 (T_DistributiveLattice_506 -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_506
v0))))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice
d_BoundedLattice_628 :: p -> p -> p -> ()
d_BoundedLattice_628 p
a0 p
a1 p
a2 = ()
data T_BoundedLattice_628
  = C_constructor_756 (AgdaAny -> AgdaAny -> AgdaAny)
                      (AgdaAny -> AgdaAny -> AgdaAny) AgdaAny AgdaAny
                      MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedLattice_514
-- Relation.Binary.Lattice.Bundles.BoundedLattice.Carrier
d_Carrier_652 :: T_BoundedLattice_628 -> ()
d_Carrier_652 :: T_BoundedLattice_628 -> ()
d_Carrier_652 = T_BoundedLattice_628 -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.BoundedLattice._≈_
d__'8776'__654 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> ()
d__'8776'__654 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> ()
d__'8776'__654 = T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.BoundedLattice._≤_
d__'8804'__656 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> ()
d__'8804'__656 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> ()
d__'8804'__656 = T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.BoundedLattice._∨_
d__'8744'__658 ::
  T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__658 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__658 T_BoundedLattice_628
v0
  = case T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0 of
      C_constructor_756 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 T_IsBoundedLattice_514
v8 -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v4
      T_BoundedLattice_628
_ -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.BoundedLattice._∧_
d__'8743'__660 ::
  T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__660 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__660 T_BoundedLattice_628
v0
  = case T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0 of
      C_constructor_756 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 T_IsBoundedLattice_514
v8 -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v5
      T_BoundedLattice_628
_ -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.BoundedLattice.⊤
d_'8868'_662 :: T_BoundedLattice_628 -> AgdaAny
d_'8868'_662 :: T_BoundedLattice_628 -> AgdaAny
d_'8868'_662 T_BoundedLattice_628
v0
  = case T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0 of
      C_constructor_756 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 T_IsBoundedLattice_514
v8 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v6
      T_BoundedLattice_628
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.BoundedLattice.⊥
d_'8869'_664 :: T_BoundedLattice_628 -> AgdaAny
d_'8869'_664 :: T_BoundedLattice_628 -> AgdaAny
d_'8869'_664 T_BoundedLattice_628
v0
  = case T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0 of
      C_constructor_756 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 T_IsBoundedLattice_514
v8 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v7
      T_BoundedLattice_628
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.BoundedLattice.isBoundedLattice
d_isBoundedLattice_666 ::
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedLattice_514
d_isBoundedLattice_666 :: T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 T_BoundedLattice_628
v0
  = case T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0 of
      C_constructor_756 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 T_IsBoundedLattice_514
v8 -> T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v8
      T_BoundedLattice_628
_ -> T_IsBoundedLattice_514
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.antisym
d_antisym_670 ::
  T_BoundedLattice_628 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_670 :: T_BoundedLattice_628
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_670 T_BoundedLattice_628
v0
  = (T_IsPartialOrder_248
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_258
      ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
         ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
            ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.infimum
d_infimum_672 ::
  T_BoundedLattice_628 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_infimum_672 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> T_Σ_14
d_infimum_672 T_BoundedLattice_628
v0
  = (T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_infimum_364
      ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
         ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0)))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.isBoundedJoinSemilattice
d_isBoundedJoinSemilattice_674 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_674 :: ()
-> ()
-> ()
-> T_BoundedLattice_628
-> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_674 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3
  = T_BoundedLattice_628 -> T_IsBoundedJoinSemilattice_118
du_isBoundedJoinSemilattice_674 T_BoundedLattice_628
v3
du_isBoundedJoinSemilattice_674 ::
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedJoinSemilattice_118
du_isBoundedJoinSemilattice_674 :: T_BoundedLattice_628 -> T_IsBoundedJoinSemilattice_118
du_isBoundedJoinSemilattice_674 T_BoundedLattice_628
v0
  = (T_IsBoundedLattice_514 -> T_IsBoundedJoinSemilattice_118)
-> AgdaAny -> T_IsBoundedJoinSemilattice_118
forall a b. a -> b
coe
      T_IsBoundedLattice_514 -> T_IsBoundedJoinSemilattice_118
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isBoundedJoinSemilattice_596
      ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.isBoundedMeetSemilattice
d_isBoundedMeetSemilattice_676 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_676 :: ()
-> ()
-> ()
-> T_BoundedLattice_628
-> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_676 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3
  = T_BoundedLattice_628 -> T_IsBoundedMeetSemilattice_280
du_isBoundedMeetSemilattice_676 T_BoundedLattice_628
v3
du_isBoundedMeetSemilattice_676 ::
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedMeetSemilattice_280
du_isBoundedMeetSemilattice_676 :: T_BoundedLattice_628 -> T_IsBoundedMeetSemilattice_280
du_isBoundedMeetSemilattice_676 T_BoundedLattice_628
v0
  = (T_IsBoundedLattice_514 -> T_IsBoundedMeetSemilattice_280)
-> AgdaAny -> T_IsBoundedMeetSemilattice_280
forall a b. a -> b
coe
      T_IsBoundedLattice_514 -> T_IsBoundedMeetSemilattice_280
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isBoundedMeetSemilattice_598
      ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.isEquivalence
d_isEquivalence_678 ::
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_678 :: T_BoundedLattice_628 -> T_IsEquivalence_28
d_isEquivalence_678 T_BoundedLattice_628
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
            ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
               ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0)))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.isJoinSemilattice
d_isJoinSemilattice_680 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsJoinSemilattice_22
d_isJoinSemilattice_680 :: () -> () -> () -> T_BoundedLattice_628 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_680 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3
  = T_BoundedLattice_628 -> T_IsJoinSemilattice_22
du_isJoinSemilattice_680 T_BoundedLattice_628
v3
du_isJoinSemilattice_680 ::
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsJoinSemilattice_22
du_isJoinSemilattice_680 :: T_BoundedLattice_628 -> T_IsJoinSemilattice_22
du_isJoinSemilattice_680 T_BoundedLattice_628
v0
  = let v1 :: T_IsBoundedLattice_514
v1 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0) in
    AgdaAny -> T_IsJoinSemilattice_22
forall a b. a -> b
coe
      ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
         ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
            (T_IsBoundedLattice_514 -> AgdaAny
forall a b. a -> b
coe T_IsBoundedLattice_514
v1)))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.isLattice
d_isLattice_682 ::
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsLattice_348
d_isLattice_682 :: T_BoundedLattice_628 -> T_IsLattice_348
d_isLattice_682 T_BoundedLattice_628
v0
  = (T_IsBoundedLattice_514 -> T_IsLattice_348)
-> AgdaAny -> T_IsLattice_348
forall a b. a -> b
coe
      T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
      ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.isMeetSemilattice
d_isMeetSemilattice_684 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsMeetSemilattice_184
d_isMeetSemilattice_684 :: () -> () -> () -> T_BoundedLattice_628 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_684 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3
  = T_BoundedLattice_628 -> T_IsMeetSemilattice_184
du_isMeetSemilattice_684 T_BoundedLattice_628
v3
du_isMeetSemilattice_684 ::
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsMeetSemilattice_184
du_isMeetSemilattice_684 :: T_BoundedLattice_628 -> T_IsMeetSemilattice_184
du_isMeetSemilattice_684 T_BoundedLattice_628
v0
  = let v1 :: T_IsBoundedLattice_514
v1 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0) in
    AgdaAny -> T_IsMeetSemilattice_184
forall a b. a -> b
coe
      ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
         ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
            (T_IsBoundedLattice_514 -> AgdaAny
forall a b. a -> b
coe T_IsBoundedLattice_514
v1)))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.isPartialOrder
d_isPartialOrder_686 ::
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_248
d_isPartialOrder_686 :: T_BoundedLattice_628 -> T_IsPartialOrder_248
d_isPartialOrder_686 T_BoundedLattice_628
v0
  = (T_IsLattice_348 -> T_IsPartialOrder_248)
-> AgdaAny -> T_IsPartialOrder_248
forall a b. a -> b
coe
      T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
      ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
         ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0)))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.isPreorder
d_isPreorder_688 ::
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
d_isPreorder_688 :: T_BoundedLattice_628 -> T_IsPreorder_76
d_isPreorder_688 T_BoundedLattice_628
v0
  = (T_IsPartialOrder_248 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
      T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
      ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
         ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
            ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.maximum
d_maximum_690 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny
d_maximum_690 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny
d_maximum_690 T_BoundedLattice_628
v0
  = (T_IsBoundedLattice_514 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsBoundedLattice_514 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_maximum_532
      ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.minimum
d_minimum_692 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny
d_minimum_692 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny
d_minimum_692 T_BoundedLattice_628
v0
  = (T_IsBoundedLattice_514 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsBoundedLattice_514 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_minimum_534
      ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.refl
d_refl_694 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 -> AgdaAny -> AgdaAny
d_refl_694 :: () -> () -> () -> T_BoundedLattice_628 -> AgdaAny -> AgdaAny
d_refl_694 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3 = T_BoundedLattice_628 -> AgdaAny -> AgdaAny
du_refl_694 T_BoundedLattice_628
v3
du_refl_694 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny
du_refl_694 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny
du_refl_694 T_BoundedLattice_628
v0
  = let v1 :: T_IsBoundedLattice_514
v1 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2
             = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                 (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                    (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_104
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.reflexive
d_reflexive_696 ::
  T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_696 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_696 T_BoundedLattice_628
v0
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_88
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
            ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
               ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0)))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.supremum
d_supremum_698 ::
  T_BoundedLattice_628 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_supremum_698 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> T_Σ_14
d_supremum_698 T_BoundedLattice_628
v0
  = (T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_supremum_362
      ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
         ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0)))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.trans
d_trans_700 ::
  T_BoundedLattice_628 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_700 :: T_BoundedLattice_628
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_700 T_BoundedLattice_628
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
            ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
               ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0)))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.x∧y≤x
d_x'8743'y'8804'x_702 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8743'y'8804'x_702 :: ()
-> ()
-> ()
-> T_BoundedLattice_628
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8743'y'8804'x_702 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3 = T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_702 T_BoundedLattice_628
v3
du_x'8743'y'8804'x_702 ::
  T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_702 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_702 T_BoundedLattice_628
v0
  = let v1 :: T_IsBoundedLattice_514
v1 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2
             = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                 (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8743'y'8804'x_200
            ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
               (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v2))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.x∧y≤y
d_x'8743'y'8804'y_704 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8743'y'8804'y_704 :: ()
-> ()
-> ()
-> T_BoundedLattice_628
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8743'y'8804'y_704 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3 = T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_704 T_BoundedLattice_628
v3
du_x'8743'y'8804'y_704 ::
  T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_704 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_704 T_BoundedLattice_628
v0
  = let v1 :: T_IsBoundedLattice_514
v1 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2
             = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                 (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8743'y'8804'y_212
            ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
               (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v2))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.x≤x∨y
d_x'8804'x'8744'y_706 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'x'8744'y_706 :: ()
-> ()
-> ()
-> T_BoundedLattice_628
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'x'8744'y_706 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3 = T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_706 T_BoundedLattice_628
v3
du_x'8804'x'8744'y_706 ::
  T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_706 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_706 T_BoundedLattice_628
v0
  = let v1 :: T_IsBoundedLattice_514
v1 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2
             = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                 (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8804'x'8744'y_38
            ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
               (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v2))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.y≤x∨y
d_y'8804'x'8744'y_708 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
d_y'8804'x'8744'y_708 :: ()
-> ()
-> ()
-> T_BoundedLattice_628
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_y'8804'x'8744'y_708 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3 = T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_708 T_BoundedLattice_628
v3
du_y'8804'x'8744'y_708 ::
  T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_708 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_708 T_BoundedLattice_628
v0
  = let v1 :: T_IsBoundedLattice_514
v1 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2
             = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                 (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_y'8804'x'8744'y_50
            ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
               (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v2))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.∧-greatest
d_'8743''45'greatest_710 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45'greatest_710 :: ()
-> ()
-> ()
-> T_BoundedLattice_628
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8743''45'greatest_710 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3
  = T_BoundedLattice_628
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_710 T_BoundedLattice_628
v3
du_'8743''45'greatest_710 ::
  T_BoundedLattice_628 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_710 :: T_BoundedLattice_628
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_710 T_BoundedLattice_628
v0
  = let v1 :: T_IsBoundedLattice_514
v1 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2
             = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                 (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsMeetSemilattice_184
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsMeetSemilattice_184
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_'8743''45'greatest_226
            ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
               (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v2))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.∨-least
d_'8744''45'least_712 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8744''45'least_712 :: ()
-> ()
-> ()
-> T_BoundedLattice_628
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8744''45'least_712 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3 = T_BoundedLattice_628
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_712 T_BoundedLattice_628
v3
du_'8744''45'least_712 ::
  T_BoundedLattice_628 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_712 :: T_BoundedLattice_628
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_712 T_BoundedLattice_628
v0
  = let v1 :: T_IsBoundedLattice_514
v1 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2
             = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                 (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsJoinSemilattice_22
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsJoinSemilattice_22
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_'8744''45'least_64
            ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
               (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v2))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.∼-resp-≈
d_'8764''45'resp'45''8776'_714 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_714 :: () -> () -> () -> T_BoundedLattice_628 -> T_Σ_14
d_'8764''45'resp'45''8776'_714 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3
  = T_BoundedLattice_628 -> T_Σ_14
du_'8764''45'resp'45''8776'_714 T_BoundedLattice_628
v3
du_'8764''45'resp'45''8776'_714 ::
  T_BoundedLattice_628 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_714 :: T_BoundedLattice_628 -> T_Σ_14
du_'8764''45'resp'45''8776'_714 T_BoundedLattice_628
v0
  = let v1 :: T_IsBoundedLattice_514
v1 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2
             = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                 (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                    (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_124
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_716 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_716 :: ()
-> ()
-> ()
-> T_BoundedLattice_628
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_716 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3
  = T_BoundedLattice_628
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_716 T_BoundedLattice_628
v3
du_'8764''45'resp'691''45''8776'_716 ::
  T_BoundedLattice_628 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_716 :: T_BoundedLattice_628
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_716 T_BoundedLattice_628
v0
  = let v1 :: T_IsBoundedLattice_514
v1 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2
             = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                 (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                    (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_122
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_718 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_718 :: ()
-> ()
-> ()
-> T_BoundedLattice_628
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_718 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3
  = T_BoundedLattice_628
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_718 T_BoundedLattice_628
v3
du_'8764''45'resp'737''45''8776'_718 ::
  T_BoundedLattice_628 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_718 :: T_BoundedLattice_628
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_718 T_BoundedLattice_628
v0
  = let v1 :: T_IsBoundedLattice_514
v1 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2
             = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                 (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                    (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_120
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.≲-resp-≈
d_'8818''45'resp'45''8776'_720 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_720 :: () -> () -> () -> T_BoundedLattice_628 -> T_Σ_14
d_'8818''45'resp'45''8776'_720 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3
  = T_BoundedLattice_628 -> T_Σ_14
du_'8818''45'resp'45''8776'_720 T_BoundedLattice_628
v3
du_'8818''45'resp'45''8776'_720 ::
  T_BoundedLattice_628 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_720 :: T_BoundedLattice_628 -> T_Σ_14
du_'8818''45'resp'45''8776'_720 T_BoundedLattice_628
v0
  = let v1 :: T_IsBoundedLattice_514
v1 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2
             = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                 (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                    (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_118
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_722 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_722 :: ()
-> ()
-> ()
-> T_BoundedLattice_628
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_722 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3
  = T_BoundedLattice_628
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_722 T_BoundedLattice_628
v3
du_'8818''45'resp'691''45''8776'_722 ::
  T_BoundedLattice_628 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_722 :: T_BoundedLattice_628
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_722 T_BoundedLattice_628
v0
  = let v1 :: T_IsBoundedLattice_514
v1 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2
             = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                 (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                    (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_112
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_724 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_724 :: ()
-> ()
-> ()
-> T_BoundedLattice_628
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_724 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3
  = T_BoundedLattice_628
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_724 T_BoundedLattice_628
v3
du_'8818''45'resp'737''45''8776'_724 ::
  T_BoundedLattice_628 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_724 :: T_BoundedLattice_628
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_724 T_BoundedLattice_628
v0
  = let v1 :: T_IsBoundedLattice_514
v1 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2
             = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                 (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                    (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
               ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                  (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v3)))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.Eq.isPartialEquivalence
d_isPartialEquivalence_728 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_728 :: () -> () -> () -> T_BoundedLattice_628 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_728 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3
  = T_BoundedLattice_628 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_728 T_BoundedLattice_628
v3
du_isPartialEquivalence_728 ::
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_728 :: T_BoundedLattice_628 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_728 T_BoundedLattice_628
v0
  = let v1 :: T_IsBoundedLattice_514
v1 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2
             = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                 (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                    (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsPreorder_76
v4
                   = T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                       (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
                  ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                     (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v4))))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.Eq.refl
d_refl_730 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny
d_refl_730 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny
d_refl_730 T_BoundedLattice_628
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
               ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                  ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0))))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.Eq.reflexive
d_reflexive_732 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_732 :: ()
-> ()
-> ()
-> T_BoundedLattice_628
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_732 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3 = T_BoundedLattice_628
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_732 T_BoundedLattice_628
v3
du_reflexive_732 ::
  T_BoundedLattice_628 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_732 :: T_BoundedLattice_628
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_732 T_BoundedLattice_628
v0
  = let v1 :: T_IsBoundedLattice_514
v1 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsLattice_348
v2
             = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                 (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_248
v3
                = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                    (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsPreorder_76
v4
                   = T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                       (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v3) in
             (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
               (\ AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 ->
                  (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
                    ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                       (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v4))
                    AgdaAny
v5))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.Eq.sym
d_sym_734 ::
  T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_734 :: T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_734 T_BoundedLattice_628
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
               ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                  ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0))))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.Eq.trans
d_trans_736 ::
  T_BoundedLattice_628 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_736 :: T_BoundedLattice_628
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_736 T_BoundedLattice_628
v0
  = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
               ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                  ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0))))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice.boundedJoinSemilattice
d_boundedJoinSemilattice_738 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 -> T_BoundedJoinSemilattice_104
d_boundedJoinSemilattice_738 :: ()
-> () -> () -> T_BoundedLattice_628 -> T_BoundedJoinSemilattice_104
d_boundedJoinSemilattice_738 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3
  = T_BoundedLattice_628 -> T_BoundedJoinSemilattice_104
du_boundedJoinSemilattice_738 T_BoundedLattice_628
v3
du_boundedJoinSemilattice_738 ::
  T_BoundedLattice_628 -> T_BoundedJoinSemilattice_104
du_boundedJoinSemilattice_738 :: T_BoundedLattice_628 -> T_BoundedJoinSemilattice_104
du_boundedJoinSemilattice_738 T_BoundedLattice_628
v0
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> T_IsBoundedJoinSemilattice_118
 -> T_BoundedJoinSemilattice_104)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> T_BoundedJoinSemilattice_104
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> T_IsBoundedJoinSemilattice_118
-> T_BoundedJoinSemilattice_104
C_constructor_196 (T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__658 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0)) (T_BoundedLattice_628 -> AgdaAny
d_'8869'_664 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0))
      ((T_IsBoundedLattice_514 -> T_IsBoundedJoinSemilattice_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBoundedLattice_514 -> T_IsBoundedJoinSemilattice_118
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isBoundedJoinSemilattice_596
         ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0)))
-- Relation.Binary.Lattice.Bundles.BoundedLattice.boundedMeetSemilattice
d_boundedMeetSemilattice_740 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 -> T_BoundedMeetSemilattice_294
d_boundedMeetSemilattice_740 :: ()
-> () -> () -> T_BoundedLattice_628 -> T_BoundedMeetSemilattice_294
d_boundedMeetSemilattice_740 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3
  = T_BoundedLattice_628 -> T_BoundedMeetSemilattice_294
du_boundedMeetSemilattice_740 T_BoundedLattice_628
v3
du_boundedMeetSemilattice_740 ::
  T_BoundedLattice_628 -> T_BoundedMeetSemilattice_294
du_boundedMeetSemilattice_740 :: T_BoundedLattice_628 -> T_BoundedMeetSemilattice_294
du_boundedMeetSemilattice_740 T_BoundedLattice_628
v0
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> T_IsBoundedMeetSemilattice_280
 -> T_BoundedMeetSemilattice_294)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> T_BoundedMeetSemilattice_294
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> T_IsBoundedMeetSemilattice_280
-> T_BoundedMeetSemilattice_294
C_constructor_386 (T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__660 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0)) (T_BoundedLattice_628 -> AgdaAny
d_'8868'_662 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0))
      ((T_IsBoundedLattice_514 -> T_IsBoundedMeetSemilattice_280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBoundedLattice_514 -> T_IsBoundedMeetSemilattice_280
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isBoundedMeetSemilattice_598
         ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0)))
-- Relation.Binary.Lattice.Bundles.BoundedLattice.lattice
d_lattice_742 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 -> T_Lattice_394
d_lattice_742 :: () -> () -> () -> T_BoundedLattice_628 -> T_Lattice_394
d_lattice_742 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3 = T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 T_BoundedLattice_628
v3
du_lattice_742 :: T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 :: T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 T_BoundedLattice_628
v0
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsLattice_348
 -> T_Lattice_394)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_348
-> T_Lattice_394
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_348
-> T_Lattice_394
C_constructor_498 (T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__658 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0))
      (T_BoundedLattice_628 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__660 (T_BoundedLattice_628 -> T_BoundedLattice_628
forall a b. a -> b
coe T_BoundedLattice_628
v0))
      (T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
         ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0)))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.joinSemilattice
d_joinSemilattice_746 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 -> T_JoinSemilattice_14
d_joinSemilattice_746 :: () -> () -> () -> T_BoundedLattice_628 -> T_JoinSemilattice_14
d_joinSemilattice_746 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3 = T_BoundedLattice_628 -> T_JoinSemilattice_14
du_joinSemilattice_746 T_BoundedLattice_628
v3
du_joinSemilattice_746 ::
  T_BoundedLattice_628 -> T_JoinSemilattice_14
du_joinSemilattice_746 :: T_BoundedLattice_628 -> T_JoinSemilattice_14
du_joinSemilattice_746 T_BoundedLattice_628
v0
  = (T_Lattice_394 -> T_JoinSemilattice_14)
-> AgdaAny -> T_JoinSemilattice_14
forall a b. a -> b
coe T_Lattice_394 -> T_JoinSemilattice_14
du_joinSemilattice_488 ((T_BoundedLattice_628 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.meetSemilattice
d_meetSemilattice_748 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 -> T_MeetSemilattice_204
d_meetSemilattice_748 :: () -> () -> () -> T_BoundedLattice_628 -> T_MeetSemilattice_204
d_meetSemilattice_748 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3 = T_BoundedLattice_628 -> T_MeetSemilattice_204
du_meetSemilattice_748 T_BoundedLattice_628
v3
du_meetSemilattice_748 ::
  T_BoundedLattice_628 -> T_MeetSemilattice_204
du_meetSemilattice_748 :: T_BoundedLattice_628 -> T_MeetSemilattice_204
du_meetSemilattice_748 T_BoundedLattice_628
v0
  = (T_Lattice_394 -> T_MeetSemilattice_204)
-> AgdaAny -> T_MeetSemilattice_204
forall a b. a -> b
coe T_Lattice_394 -> T_MeetSemilattice_204
du_meetSemilattice_490 ((T_BoundedLattice_628 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.poset
d_poset_750 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_492
d_poset_750 :: () -> () -> () -> T_BoundedLattice_628 -> T_Poset_492
d_poset_750 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3 = T_BoundedLattice_628 -> T_Poset_492
du_poset_750 T_BoundedLattice_628
v3
du_poset_750 ::
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_492
du_poset_750 :: T_BoundedLattice_628 -> T_Poset_492
du_poset_750 T_BoundedLattice_628
v0
  = let v1 :: AgdaAny
v1 = (T_BoundedLattice_628 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0) in
    AgdaAny -> T_Poset_492
forall a b. a -> b
coe ((T_JoinSemilattice_14 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_Poset_492
du_poset_90 ((T_Lattice_394 -> T_JoinSemilattice_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_JoinSemilattice_14
du_joinSemilattice_488 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.preorder
d_preorder_752 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_142
d_preorder_752 :: () -> () -> () -> T_BoundedLattice_628 -> T_Preorder_142
d_preorder_752 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3 = T_BoundedLattice_628 -> T_Preorder_142
du_preorder_752 T_BoundedLattice_628
v3
du_preorder_752 ::
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_142
du_preorder_752 :: T_BoundedLattice_628 -> T_Preorder_142
du_preorder_752 T_BoundedLattice_628
v0
  = let v1 :: AgdaAny
v1 = (T_BoundedLattice_628 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0) in
    AgdaAny -> T_Preorder_142
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Lattice_394 -> T_JoinSemilattice_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_JoinSemilattice_14
du_joinSemilattice_488 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Poset_492 -> T_Preorder_142
MAlonzo.Code.Relation.Binary.Bundles.du_preorder_522
            ((T_JoinSemilattice_14 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_Poset_492
du_poset_90 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Lattice.Bundles.BoundedLattice._.setoid
d_setoid_754 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_46
d_setoid_754 :: () -> () -> () -> T_BoundedLattice_628 -> T_Setoid_46
d_setoid_754 ~()
v0 ~()
v1 ~()
v2 T_BoundedLattice_628
v3 = T_BoundedLattice_628 -> T_Setoid_46
du_setoid_754 T_BoundedLattice_628
v3
du_setoid_754 ::
  T_BoundedLattice_628 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_46
du_setoid_754 :: T_BoundedLattice_628 -> T_Setoid_46
du_setoid_754 T_BoundedLattice_628
v0 = (T_Lattice_394 -> T_Setoid_46) -> AgdaAny -> T_Setoid_46
forall a b. a -> b
coe T_Lattice_394 -> T_Setoid_46
du_setoid_486 ((T_BoundedLattice_628 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 (T_BoundedLattice_628 -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628
v0))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra
d_HeytingAlgebra_764 :: p -> p -> p -> ()
d_HeytingAlgebra_764 p
a0 p
a1 p
a2 = ()
data T_HeytingAlgebra_764
  = C_constructor_906 (AgdaAny -> AgdaAny -> AgdaAny)
                      (AgdaAny -> AgdaAny -> AgdaAny) (AgdaAny -> AgdaAny -> AgdaAny)
                      AgdaAny AgdaAny
                      MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsHeytingAlgebra_612
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra.Carrier
d_Carrier_790 :: T_HeytingAlgebra_764 -> ()
d_Carrier_790 :: T_HeytingAlgebra_764 -> ()
d_Carrier_790 = T_HeytingAlgebra_764 -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._≈_
d__'8776'__792 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> ()
d__'8776'__792 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> ()
d__'8776'__792 = T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._≤_
d__'8804'__794 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> ()
d__'8804'__794 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> ()
d__'8804'__794 = T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._∨_
d__'8744'__796 ::
  T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__796 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__796 T_HeytingAlgebra_764
v0
  = case T_HeytingAlgebra_764 -> T_HeytingAlgebra_764
forall a b. a -> b
coe T_HeytingAlgebra_764
v0 of
      C_constructor_906 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 T_IsHeytingAlgebra_612
v9 -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v4
      T_HeytingAlgebra_764
_ -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._∧_
d__'8743'__798 ::
  T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__798 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__798 T_HeytingAlgebra_764
v0
  = case T_HeytingAlgebra_764 -> T_HeytingAlgebra_764
forall a b. a -> b
coe T_HeytingAlgebra_764
v0 of
      C_constructor_906 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 T_IsHeytingAlgebra_612
v9 -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v5
      T_HeytingAlgebra_764
_ -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._⇨_
d__'8680'__800 ::
  T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8680'__800 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8680'__800 T_HeytingAlgebra_764
v0
  = case T_HeytingAlgebra_764 -> T_HeytingAlgebra_764
forall a b. a -> b
coe T_HeytingAlgebra_764
v0 of
      C_constructor_906 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 T_IsHeytingAlgebra_612
v9 -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v6
      T_HeytingAlgebra_764
_ -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra.⊤
d_'8868'_802 :: T_HeytingAlgebra_764 -> AgdaAny
d_'8868'_802 :: T_HeytingAlgebra_764 -> AgdaAny
d_'8868'_802 T_HeytingAlgebra_764
v0
  = case T_HeytingAlgebra_764 -> T_HeytingAlgebra_764
forall a b. a -> b
coe T_HeytingAlgebra_764
v0 of
      C_constructor_906 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 T_IsHeytingAlgebra_612
v9 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v7
      T_HeytingAlgebra_764
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra.⊥
d_'8869'_804 :: T_HeytingAlgebra_764 -> AgdaAny
d_'8869'_804 :: T_HeytingAlgebra_764 -> AgdaAny
d_'8869'_804 T_HeytingAlgebra_764
v0
  = case T_HeytingAlgebra_764 -> T_HeytingAlgebra_764
forall a b. a -> b
coe T_HeytingAlgebra_764
v0 of
      C_constructor_906 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 T_IsHeytingAlgebra_612
v9 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v8
      T_HeytingAlgebra_764
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra.isHeytingAlgebra
d_isHeytingAlgebra_806 ::
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 :: T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 T_HeytingAlgebra_764
v0
  = case T_HeytingAlgebra_764 -> T_HeytingAlgebra_764
forall a b. a -> b
coe T_HeytingAlgebra_764
v0 of
      C_constructor_906 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 T_IsHeytingAlgebra_612
v9 -> T_IsHeytingAlgebra_612 -> T_IsHeytingAlgebra_612
forall a b. a -> b
coe T_IsHeytingAlgebra_612
v9
      T_HeytingAlgebra_764
_ -> T_IsHeytingAlgebra_612
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra.boundedLattice
d_boundedLattice_808 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 -> T_BoundedLattice_628
d_boundedLattice_808 :: () -> () -> () -> T_HeytingAlgebra_764 -> T_BoundedLattice_628
d_boundedLattice_808 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 T_HeytingAlgebra_764
v3
du_boundedLattice_808 ::
  T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 :: T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 T_HeytingAlgebra_764
v0
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> T_IsBoundedLattice_514
 -> T_BoundedLattice_628)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> T_IsBoundedLattice_514
-> T_BoundedLattice_628
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> T_IsBoundedLattice_514
-> T_BoundedLattice_628
C_constructor_756 (T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__796 (T_HeytingAlgebra_764 -> T_HeytingAlgebra_764
forall a b. a -> b
coe T_HeytingAlgebra_764
v0))
      (T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__798 (T_HeytingAlgebra_764 -> T_HeytingAlgebra_764
forall a b. a -> b
coe T_HeytingAlgebra_764
v0)) (T_HeytingAlgebra_764 -> AgdaAny
d_'8868'_802 (T_HeytingAlgebra_764 -> T_HeytingAlgebra_764
forall a b. a -> b
coe T_HeytingAlgebra_764
v0))
      (T_HeytingAlgebra_764 -> AgdaAny
d_'8869'_804 (T_HeytingAlgebra_764 -> T_HeytingAlgebra_764
forall a b. a -> b
coe T_HeytingAlgebra_764
v0))
      (T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
         ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> T_IsHeytingAlgebra_612
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0)))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.exponential
d_exponential_812 ::
  T_HeytingAlgebra_764 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_exponential_812 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
d_exponential_812 T_HeytingAlgebra_764
v0
  = (T_IsHeytingAlgebra_612 -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsHeytingAlgebra_612 -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_exponential_630
      ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.transpose-⇨
d_transpose'45''8680'_814 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_transpose'45''8680'_814 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_transpose'45''8680'_814 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3
  = T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_transpose'45''8680'_814 T_HeytingAlgebra_764
v3
du_transpose'45''8680'_814 ::
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_transpose'45''8680'_814 :: T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_transpose'45''8680'_814 T_HeytingAlgebra_764
v0
  = (T_IsHeytingAlgebra_612
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsHeytingAlgebra_612
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_transpose'45''8680'_638
      ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.transpose-∧
d_transpose'45''8743'_816 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_transpose'45''8743'_816 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_transpose'45''8743'_816 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3
  = T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_transpose'45''8743'_816 T_HeytingAlgebra_764
v3
du_transpose'45''8743'_816 ::
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_transpose'45''8743'_816 :: T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_transpose'45''8743'_816 T_HeytingAlgebra_764
v0
  = (T_IsHeytingAlgebra_612
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsHeytingAlgebra_612
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_transpose'45''8743'_654
      ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.antisym
d_antisym_820 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_820 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_antisym_820 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_820 T_HeytingAlgebra_764
v3
du_antisym_820 ::
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_820 :: T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_820 T_HeytingAlgebra_764
v0
  = (T_IsPartialOrder_248
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_258
      ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
         ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
            ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
               ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0)))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.boundedJoinSemilattice
d_boundedJoinSemilattice_822 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 -> T_BoundedJoinSemilattice_104
d_boundedJoinSemilattice_822 :: ()
-> () -> () -> T_HeytingAlgebra_764 -> T_BoundedJoinSemilattice_104
d_boundedJoinSemilattice_822 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3
  = T_HeytingAlgebra_764 -> T_BoundedJoinSemilattice_104
du_boundedJoinSemilattice_822 T_HeytingAlgebra_764
v3
du_boundedJoinSemilattice_822 ::
  T_HeytingAlgebra_764 -> T_BoundedJoinSemilattice_104
du_boundedJoinSemilattice_822 :: T_HeytingAlgebra_764 -> T_BoundedJoinSemilattice_104
du_boundedJoinSemilattice_822 T_HeytingAlgebra_764
v0
  = (T_BoundedLattice_628 -> T_BoundedJoinSemilattice_104)
-> AgdaAny -> T_BoundedJoinSemilattice_104
forall a b. a -> b
coe
      T_BoundedLattice_628 -> T_BoundedJoinSemilattice_104
du_boundedJoinSemilattice_738 ((T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.boundedMeetSemilattice
d_boundedMeetSemilattice_824 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 -> T_BoundedMeetSemilattice_294
d_boundedMeetSemilattice_824 :: ()
-> () -> () -> T_HeytingAlgebra_764 -> T_BoundedMeetSemilattice_294
d_boundedMeetSemilattice_824 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3
  = T_HeytingAlgebra_764 -> T_BoundedMeetSemilattice_294
du_boundedMeetSemilattice_824 T_HeytingAlgebra_764
v3
du_boundedMeetSemilattice_824 ::
  T_HeytingAlgebra_764 -> T_BoundedMeetSemilattice_294
du_boundedMeetSemilattice_824 :: T_HeytingAlgebra_764 -> T_BoundedMeetSemilattice_294
du_boundedMeetSemilattice_824 T_HeytingAlgebra_764
v0
  = (T_BoundedLattice_628 -> T_BoundedMeetSemilattice_294)
-> AgdaAny -> T_BoundedMeetSemilattice_294
forall a b. a -> b
coe
      T_BoundedLattice_628 -> T_BoundedMeetSemilattice_294
du_boundedMeetSemilattice_740 ((T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.infimum
d_infimum_826 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_infimum_826 :: ()
-> () -> () -> T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> T_Σ_14
d_infimum_826 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> T_Σ_14
du_infimum_826 T_HeytingAlgebra_764
v3
du_infimum_826 ::
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_infimum_826 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> T_Σ_14
du_infimum_826 T_HeytingAlgebra_764
v0
  = (T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_infimum_364
      ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
         ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
            ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.isBoundedJoinSemilattice
d_isBoundedJoinSemilattice_828 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_828 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_828 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3
  = T_HeytingAlgebra_764 -> T_IsBoundedJoinSemilattice_118
du_isBoundedJoinSemilattice_828 T_HeytingAlgebra_764
v3
du_isBoundedJoinSemilattice_828 ::
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedJoinSemilattice_118
du_isBoundedJoinSemilattice_828 :: T_HeytingAlgebra_764 -> T_IsBoundedJoinSemilattice_118
du_isBoundedJoinSemilattice_828 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny -> T_IsBoundedJoinSemilattice_118
forall a b. a -> b
coe
      ((T_IsBoundedLattice_514 -> T_IsBoundedJoinSemilattice_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBoundedLattice_514 -> T_IsBoundedJoinSemilattice_118
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isBoundedJoinSemilattice_596
         ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.isBoundedLattice
d_isBoundedLattice_830 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedLattice_514
d_isBoundedLattice_830 :: () -> () -> () -> T_HeytingAlgebra_764 -> T_IsBoundedLattice_514
d_isBoundedLattice_830 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> T_IsBoundedLattice_514
du_isBoundedLattice_830 T_HeytingAlgebra_764
v3
du_isBoundedLattice_830 ::
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedLattice_514
du_isBoundedLattice_830 :: T_HeytingAlgebra_764 -> T_IsBoundedLattice_514
du_isBoundedLattice_830 T_HeytingAlgebra_764
v0
  = (T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> T_IsBoundedLattice_514
forall a b. a -> b
coe
      T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
      ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.isBoundedMeetSemilattice
d_isBoundedMeetSemilattice_832 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_832 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_832 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3
  = T_HeytingAlgebra_764 -> T_IsBoundedMeetSemilattice_280
du_isBoundedMeetSemilattice_832 T_HeytingAlgebra_764
v3
du_isBoundedMeetSemilattice_832 ::
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedMeetSemilattice_280
du_isBoundedMeetSemilattice_832 :: T_HeytingAlgebra_764 -> T_IsBoundedMeetSemilattice_280
du_isBoundedMeetSemilattice_832 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny -> T_IsBoundedMeetSemilattice_280
forall a b. a -> b
coe
      ((T_IsBoundedLattice_514 -> T_IsBoundedMeetSemilattice_280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBoundedLattice_514 -> T_IsBoundedMeetSemilattice_280
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isBoundedMeetSemilattice_598
         ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.isEquivalence
d_isEquivalence_834 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_834 :: () -> () -> () -> T_HeytingAlgebra_764 -> T_IsEquivalence_28
d_isEquivalence_834 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> T_IsEquivalence_28
du_isEquivalence_834 T_HeytingAlgebra_764
v3
du_isEquivalence_834 ::
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_834 :: T_HeytingAlgebra_764 -> T_IsEquivalence_28
du_isEquivalence_834 T_HeytingAlgebra_764
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
            ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
               ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
                  ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0))))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.isJoinSemilattice
d_isJoinSemilattice_836 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsJoinSemilattice_22
d_isJoinSemilattice_836 :: () -> () -> () -> T_HeytingAlgebra_764 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_836 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3
  = T_HeytingAlgebra_764 -> T_IsJoinSemilattice_22
du_isJoinSemilattice_836 T_HeytingAlgebra_764
v3
du_isJoinSemilattice_836 ::
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsJoinSemilattice_22
du_isJoinSemilattice_836 :: T_HeytingAlgebra_764 -> T_IsJoinSemilattice_22
du_isJoinSemilattice_836 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny -> T_IsJoinSemilattice_22
forall a b. a -> b
coe
      (let v2 :: T_IsBoundedLattice_514
v2 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
            ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
               (T_IsBoundedLattice_514 -> AgdaAny
forall a b. a -> b
coe T_IsBoundedLattice_514
v2))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.isLattice
d_isLattice_838 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsLattice_348
d_isLattice_838 :: () -> () -> () -> T_HeytingAlgebra_764 -> T_IsLattice_348
d_isLattice_838 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> T_IsLattice_348
du_isLattice_838 T_HeytingAlgebra_764
v3
du_isLattice_838 ::
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsLattice_348
du_isLattice_838 :: T_HeytingAlgebra_764 -> T_IsLattice_348
du_isLattice_838 T_HeytingAlgebra_764
v0
  = (T_IsBoundedLattice_514 -> T_IsLattice_348)
-> AgdaAny -> T_IsLattice_348
forall a b. a -> b
coe
      T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
      ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
         ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0)))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.isMeetSemilattice
d_isMeetSemilattice_840 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsMeetSemilattice_184
d_isMeetSemilattice_840 :: () -> () -> () -> T_HeytingAlgebra_764 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_840 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3
  = T_HeytingAlgebra_764 -> T_IsMeetSemilattice_184
du_isMeetSemilattice_840 T_HeytingAlgebra_764
v3
du_isMeetSemilattice_840 ::
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsMeetSemilattice_184
du_isMeetSemilattice_840 :: T_HeytingAlgebra_764 -> T_IsMeetSemilattice_184
du_isMeetSemilattice_840 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny -> T_IsMeetSemilattice_184
forall a b. a -> b
coe
      (let v2 :: T_IsBoundedLattice_514
v2 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
            ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
               (T_IsBoundedLattice_514 -> AgdaAny
forall a b. a -> b
coe T_IsBoundedLattice_514
v2))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.isPartialOrder
d_isPartialOrder_842 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_248
d_isPartialOrder_842 :: () -> () -> () -> T_HeytingAlgebra_764 -> T_IsPartialOrder_248
d_isPartialOrder_842 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> T_IsPartialOrder_248
du_isPartialOrder_842 T_HeytingAlgebra_764
v3
du_isPartialOrder_842 ::
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_248
du_isPartialOrder_842 :: T_HeytingAlgebra_764 -> T_IsPartialOrder_248
du_isPartialOrder_842 T_HeytingAlgebra_764
v0
  = (T_IsLattice_348 -> T_IsPartialOrder_248)
-> AgdaAny -> T_IsPartialOrder_248
forall a b. a -> b
coe
      T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
      ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
         ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
            ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.isPreorder
d_isPreorder_844 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
d_isPreorder_844 :: () -> () -> () -> T_HeytingAlgebra_764 -> T_IsPreorder_76
d_isPreorder_844 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> T_IsPreorder_76
du_isPreorder_844 T_HeytingAlgebra_764
v3
du_isPreorder_844 ::
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
du_isPreorder_844 :: T_HeytingAlgebra_764 -> T_IsPreorder_76
du_isPreorder_844 T_HeytingAlgebra_764
v0
  = (T_IsPartialOrder_248 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
      T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
      ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
         ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
            ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
               ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0)))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.joinSemilattice
d_joinSemilattice_846 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 -> T_JoinSemilattice_14
d_joinSemilattice_846 :: () -> () -> () -> T_HeytingAlgebra_764 -> T_JoinSemilattice_14
d_joinSemilattice_846 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> T_JoinSemilattice_14
du_joinSemilattice_846 T_HeytingAlgebra_764
v3
du_joinSemilattice_846 ::
  T_HeytingAlgebra_764 -> T_JoinSemilattice_14
du_joinSemilattice_846 :: T_HeytingAlgebra_764 -> T_JoinSemilattice_14
du_joinSemilattice_846 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny -> T_JoinSemilattice_14
forall a b. a -> b
coe ((T_Lattice_394 -> T_JoinSemilattice_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_JoinSemilattice_14
du_joinSemilattice_488 ((T_BoundedLattice_628 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.lattice
d_lattice_848 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 -> T_Lattice_394
d_lattice_848 :: () -> () -> () -> T_HeytingAlgebra_764 -> T_Lattice_394
d_lattice_848 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> T_Lattice_394
du_lattice_848 T_HeytingAlgebra_764
v3
du_lattice_848 :: T_HeytingAlgebra_764 -> T_Lattice_394
du_lattice_848 :: T_HeytingAlgebra_764 -> T_Lattice_394
du_lattice_848 T_HeytingAlgebra_764
v0
  = (T_BoundedLattice_628 -> T_Lattice_394) -> AgdaAny -> T_Lattice_394
forall a b. a -> b
coe T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 ((T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.maximum
d_maximum_850 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
d_maximum_850 :: () -> () -> () -> T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
d_maximum_850 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
du_maximum_850 T_HeytingAlgebra_764
v3
du_maximum_850 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
du_maximum_850 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
du_maximum_850 T_HeytingAlgebra_764
v0
  = (T_IsBoundedLattice_514 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsBoundedLattice_514 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_maximum_532
      ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
         ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0)))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.meetSemilattice
d_meetSemilattice_852 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 -> T_MeetSemilattice_204
d_meetSemilattice_852 :: () -> () -> () -> T_HeytingAlgebra_764 -> T_MeetSemilattice_204
d_meetSemilattice_852 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> T_MeetSemilattice_204
du_meetSemilattice_852 T_HeytingAlgebra_764
v3
du_meetSemilattice_852 ::
  T_HeytingAlgebra_764 -> T_MeetSemilattice_204
du_meetSemilattice_852 :: T_HeytingAlgebra_764 -> T_MeetSemilattice_204
du_meetSemilattice_852 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny -> T_MeetSemilattice_204
forall a b. a -> b
coe ((T_Lattice_394 -> T_MeetSemilattice_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_MeetSemilattice_204
du_meetSemilattice_490 ((T_BoundedLattice_628 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.minimum
d_minimum_854 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
d_minimum_854 :: () -> () -> () -> T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
d_minimum_854 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
du_minimum_854 T_HeytingAlgebra_764
v3
du_minimum_854 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
du_minimum_854 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
du_minimum_854 T_HeytingAlgebra_764
v0
  = (T_IsBoundedLattice_514 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsBoundedLattice_514 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_minimum_534
      ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
         ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0)))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.poset
d_poset_856 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_492
d_poset_856 :: () -> () -> () -> T_HeytingAlgebra_764 -> T_Poset_492
d_poset_856 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> T_Poset_492
du_poset_856 T_HeytingAlgebra_764
v3
du_poset_856 ::
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_492
du_poset_856 :: T_HeytingAlgebra_764 -> T_Poset_492
du_poset_856 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny -> T_Poset_492
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_BoundedLattice_628 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_JoinSemilattice_14 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_Poset_492
du_poset_90 ((T_Lattice_394 -> T_JoinSemilattice_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_JoinSemilattice_14
du_joinSemilattice_488 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.preorder
d_preorder_858 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_142
d_preorder_858 :: () -> () -> () -> T_HeytingAlgebra_764 -> T_Preorder_142
d_preorder_858 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> T_Preorder_142
du_preorder_858 T_HeytingAlgebra_764
v3
du_preorder_858 ::
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_142
du_preorder_858 :: T_HeytingAlgebra_764 -> T_Preorder_142
du_preorder_858 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny -> T_Preorder_142
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_BoundedLattice_628 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_Lattice_394 -> T_JoinSemilattice_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_JoinSemilattice_14
du_joinSemilattice_488 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Poset_492 -> T_Preorder_142
MAlonzo.Code.Relation.Binary.Bundles.du_preorder_522
               ((T_JoinSemilattice_14 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_Poset_492
du_poset_90 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.refl
d_refl_860 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
d_refl_860 :: () -> () -> () -> T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
d_refl_860 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
du_refl_860 T_HeytingAlgebra_764
v3
du_refl_860 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
du_refl_860 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
du_refl_860 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsBoundedLattice_514
v2 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsLattice_348
v3
                = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                    (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsPartialOrder_248
v4
                   = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                       (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsPreorder_76 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPreorder_76 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_104
                  ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                     (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v4))))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.reflexive
d_reflexive_862 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_862 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_reflexive_862 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_862 T_HeytingAlgebra_764
v3
du_reflexive_862 ::
  T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_862 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_862 T_HeytingAlgebra_764
v0
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_88
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
            ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
               ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
                  ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0))))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.setoid
d_setoid_864 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_46
d_setoid_864 :: () -> () -> () -> T_HeytingAlgebra_764 -> T_Setoid_46
d_setoid_864 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> T_Setoid_46
du_setoid_864 T_HeytingAlgebra_764
v3
du_setoid_864 ::
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_46
du_setoid_864 :: T_HeytingAlgebra_764 -> T_Setoid_46
du_setoid_864 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny -> T_Setoid_46
forall a b. a -> b
coe ((T_Lattice_394 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_Setoid_46
du_setoid_486 ((T_BoundedLattice_628 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.supremum
d_supremum_866 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_supremum_866 :: ()
-> () -> () -> T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> T_Σ_14
d_supremum_866 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> T_Σ_14
du_supremum_866 T_HeytingAlgebra_764
v3
du_supremum_866 ::
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_supremum_866 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> T_Σ_14
du_supremum_866 T_HeytingAlgebra_764
v0
  = (T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_supremum_362
      ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
         ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
            ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.trans
d_trans_868 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_868 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_868 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_868 T_HeytingAlgebra_764
v3
du_trans_868 ::
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_868 :: T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_868 T_HeytingAlgebra_764
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
            ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
               ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
                  ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0))))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.x∧y≤x
d_x'8743'y'8804'x_870 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8743'y'8804'x_870 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8743'y'8804'x_870 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_870 T_HeytingAlgebra_764
v3
du_x'8743'y'8804'x_870 ::
  T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_870 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_870 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsBoundedLattice_514
v2 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsLattice_348
v3
                = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                    (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8743'y'8804'x_200
               ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
                  (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v3)))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.x∧y≤y
d_x'8743'y'8804'y_872 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8743'y'8804'y_872 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8743'y'8804'y_872 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_872 T_HeytingAlgebra_764
v3
du_x'8743'y'8804'y_872 ::
  T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_872 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_872 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsBoundedLattice_514
v2 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsLattice_348
v3
                = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                    (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8743'y'8804'y_212
               ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
                  (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v3)))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.x≤x∨y
d_x'8804'x'8744'y_874 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'x'8744'y_874 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'x'8744'y_874 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_874 T_HeytingAlgebra_764
v3
du_x'8804'x'8744'y_874 ::
  T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_874 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_874 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsBoundedLattice_514
v2 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsLattice_348
v3
                = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                    (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8804'x'8744'y_38
               ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
                  (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v3)))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.y≤x∨y
d_y'8804'x'8744'y_876 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
d_y'8804'x'8744'y_876 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_y'8804'x'8744'y_876 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_876 T_HeytingAlgebra_764
v3
du_y'8804'x'8744'y_876 ::
  T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_876 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_876 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsBoundedLattice_514
v2 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsLattice_348
v3
                = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                    (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_y'8804'x'8744'y_50
               ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
                  (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v3)))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.∧-greatest
d_'8743''45'greatest_878 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45'greatest_878 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8743''45'greatest_878 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3
  = T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_878 T_HeytingAlgebra_764
v3
du_'8743''45'greatest_878 ::
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_878 :: T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_878 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsBoundedLattice_514
v2 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsLattice_348
v3
                = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                    (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsMeetSemilattice_184
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsMeetSemilattice_184
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_'8743''45'greatest_226
               ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
                  (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v3)))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.∨-least
d_'8744''45'least_880 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8744''45'least_880 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8744''45'least_880 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_880 T_HeytingAlgebra_764
v3
du_'8744''45'least_880 ::
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_880 :: T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_880 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsBoundedLattice_514
v2 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsLattice_348
v3
                = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                    (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsJoinSemilattice_22
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsJoinSemilattice_22
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_'8744''45'least_64
               ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
                  (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v3)))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.∼-resp-≈
d_'8764''45'resp'45''8776'_882 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_882 :: () -> () -> () -> T_HeytingAlgebra_764 -> T_Σ_14
d_'8764''45'resp'45''8776'_882 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3
  = T_HeytingAlgebra_764 -> T_Σ_14
du_'8764''45'resp'45''8776'_882 T_HeytingAlgebra_764
v3
du_'8764''45'resp'45''8776'_882 ::
  T_HeytingAlgebra_764 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_882 :: T_HeytingAlgebra_764 -> T_Σ_14
du_'8764''45'resp'45''8776'_882 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsBoundedLattice_514
v2 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsLattice_348
v3
                = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                    (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsPartialOrder_248
v4
                   = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                       (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_124
                  ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                     (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v4))))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_884 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_884 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_884 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3
  = T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_884 T_HeytingAlgebra_764
v3
du_'8764''45'resp'691''45''8776'_884 ::
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_884 :: T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_884 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsBoundedLattice_514
v2 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsLattice_348
v3
                = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                    (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsPartialOrder_248
v4
                   = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                       (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_122
                  ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                     (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v4))))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_886 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_886 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_886 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3
  = T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_886 T_HeytingAlgebra_764
v3
du_'8764''45'resp'737''45''8776'_886 ::
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_886 :: T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_886 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsBoundedLattice_514
v2 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsLattice_348
v3
                = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                    (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsPartialOrder_248
v4
                   = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                       (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_120
                  ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                     (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v4))))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.≲-resp-≈
d_'8818''45'resp'45''8776'_888 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_888 :: () -> () -> () -> T_HeytingAlgebra_764 -> T_Σ_14
d_'8818''45'resp'45''8776'_888 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3
  = T_HeytingAlgebra_764 -> T_Σ_14
du_'8818''45'resp'45''8776'_888 T_HeytingAlgebra_764
v3
du_'8818''45'resp'45''8776'_888 ::
  T_HeytingAlgebra_764 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_888 :: T_HeytingAlgebra_764 -> T_Σ_14
du_'8818''45'resp'45''8776'_888 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsBoundedLattice_514
v2 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsLattice_348
v3
                = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                    (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsPartialOrder_248
v4
                   = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                       (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_118
                  ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                     (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v4))))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_890 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_890 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_890 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3
  = T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_890 T_HeytingAlgebra_764
v3
du_'8818''45'resp'691''45''8776'_890 ::
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_890 :: T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_890 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsBoundedLattice_514
v2 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsLattice_348
v3
                = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                    (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsPartialOrder_248
v4
                   = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                       (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_112
                  ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                     (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v4))))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_892 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_892 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_892 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3
  = T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_892 T_HeytingAlgebra_764
v3
du_'8818''45'resp'737''45''8776'_892 ::
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_892 :: T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_892 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsBoundedLattice_514
v2 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsLattice_348
v3
                = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                    (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsPartialOrder_248
v4
                   = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                       (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
                  ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                     (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v4))))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.Eq.isPartialEquivalence
d_isPartialEquivalence_896 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_896 :: () -> () -> () -> T_HeytingAlgebra_764 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_896 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3
  = T_HeytingAlgebra_764 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_896 T_HeytingAlgebra_764
v3
du_isPartialEquivalence_896 ::
  T_HeytingAlgebra_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_896 :: T_HeytingAlgebra_764 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_896 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: T_IsBoundedLattice_514
v2 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsLattice_348
v3
                = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                    (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsPartialOrder_248
v4
                   = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                       (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v5 :: T_IsPreorder_76
v5
                      = T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                          (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v4) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
                     ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                        (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v5)))))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.Eq.refl
d_refl_898 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
d_refl_898 :: () -> () -> () -> T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
d_refl_898 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
du_refl_898 T_HeytingAlgebra_764
v3
du_refl_898 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
du_refl_898 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny
du_refl_898 T_HeytingAlgebra_764
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
               ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                  ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
                     ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0)))))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.Eq.reflexive
d_reflexive_900 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_900 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_900 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_900 T_HeytingAlgebra_764
v3
du_reflexive_900 ::
  T_HeytingAlgebra_764 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_900 :: T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_900 T_HeytingAlgebra_764
v0
  = let v1 :: AgdaAny
v1 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsBoundedLattice_514
v2 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsLattice_348
v3
                = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                    (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsPartialOrder_248
v4
                   = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                       (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v5 :: T_IsPreorder_76
v5
                      = T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                          (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v4) in
                (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
                  (\ AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 ->
                     (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
                       ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                          (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v5))
                       AgdaAny
v6)))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.Eq.sym
d_sym_902 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_902 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_902 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_902 T_HeytingAlgebra_764
v3
du_sym_902 ::
  T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_902 :: T_HeytingAlgebra_764 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_902 T_HeytingAlgebra_764
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
               ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                  ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
                     ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0)))))))
-- Relation.Binary.Lattice.Bundles.HeytingAlgebra._.Eq.trans
d_trans_904 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_904 :: ()
-> ()
-> ()
-> T_HeytingAlgebra_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_904 ~()
v0 ~()
v1 ~()
v2 T_HeytingAlgebra_764
v3 = T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_904 T_HeytingAlgebra_764
v3
du_trans_904 ::
  T_HeytingAlgebra_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_904 :: T_HeytingAlgebra_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_904 T_HeytingAlgebra_764
v0
  = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
               ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                  ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
                     ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (T_HeytingAlgebra_764 -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764
v0)))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra
d_BooleanAlgebra_914 :: p -> p -> p -> ()
d_BooleanAlgebra_914 p
a0 p
a1 p
a2 = ()
data T_BooleanAlgebra_914
  = C_constructor_1064 (AgdaAny -> AgdaAny -> AgdaAny)
                       (AgdaAny -> AgdaAny -> AgdaAny) (AgdaAny -> AgdaAny) AgdaAny
                       AgdaAny
                       MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBooleanAlgebra_746
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra.Carrier
d_Carrier_940 :: T_BooleanAlgebra_914 -> ()
d_Carrier_940 :: T_BooleanAlgebra_914 -> ()
d_Carrier_940 = T_BooleanAlgebra_914 -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._≈_
d__'8776'__942 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> ()
d__'8776'__942 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> ()
d__'8776'__942 = T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._≤_
d__'8804'__944 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> ()
d__'8804'__944 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> ()
d__'8804'__944 = T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._∨_
d__'8744'__946 ::
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__946 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__946 T_BooleanAlgebra_914
v0
  = case T_BooleanAlgebra_914 -> T_BooleanAlgebra_914
forall a b. a -> b
coe T_BooleanAlgebra_914
v0 of
      C_constructor_1064 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 T_IsBooleanAlgebra_746
v9 -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v4
      T_BooleanAlgebra_914
_ -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._∧_
d__'8743'__948 ::
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__948 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__948 T_BooleanAlgebra_914
v0
  = case T_BooleanAlgebra_914 -> T_BooleanAlgebra_914
forall a b. a -> b
coe T_BooleanAlgebra_914
v0 of
      C_constructor_1064 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 T_IsBooleanAlgebra_746
v9 -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v5
      T_BooleanAlgebra_914
_ -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra.¬_
d_'172'__950 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
d_'172'__950 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
d_'172'__950 T_BooleanAlgebra_914
v0
  = case T_BooleanAlgebra_914 -> T_BooleanAlgebra_914
forall a b. a -> b
coe T_BooleanAlgebra_914
v0 of
      C_constructor_1064 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 T_IsBooleanAlgebra_746
v9 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v6
      T_BooleanAlgebra_914
_ -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra.⊤
d_'8868'_952 :: T_BooleanAlgebra_914 -> AgdaAny
d_'8868'_952 :: T_BooleanAlgebra_914 -> AgdaAny
d_'8868'_952 T_BooleanAlgebra_914
v0
  = case T_BooleanAlgebra_914 -> T_BooleanAlgebra_914
forall a b. a -> b
coe T_BooleanAlgebra_914
v0 of
      C_constructor_1064 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 T_IsBooleanAlgebra_746
v9 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v7
      T_BooleanAlgebra_914
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra.⊥
d_'8869'_954 :: T_BooleanAlgebra_914 -> AgdaAny
d_'8869'_954 :: T_BooleanAlgebra_914 -> AgdaAny
d_'8869'_954 T_BooleanAlgebra_914
v0
  = case T_BooleanAlgebra_914 -> T_BooleanAlgebra_914
forall a b. a -> b
coe T_BooleanAlgebra_914
v0 of
      C_constructor_1064 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 T_IsBooleanAlgebra_746
v9 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v8
      T_BooleanAlgebra_914
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra.isBooleanAlgebra
d_isBooleanAlgebra_956 ::
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBooleanAlgebra_746
d_isBooleanAlgebra_956 :: T_BooleanAlgebra_914 -> T_IsBooleanAlgebra_746
d_isBooleanAlgebra_956 T_BooleanAlgebra_914
v0
  = case T_BooleanAlgebra_914 -> T_BooleanAlgebra_914
forall a b. a -> b
coe T_BooleanAlgebra_914
v0 of
      C_constructor_1064 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 T_IsBooleanAlgebra_746
v9 -> T_IsBooleanAlgebra_746 -> T_IsBooleanAlgebra_746
forall a b. a -> b
coe T_IsBooleanAlgebra_746
v9
      T_BooleanAlgebra_914
_ -> T_IsBooleanAlgebra_746
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra.heytingAlgebra
d_heytingAlgebra_962 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
d_heytingAlgebra_962 :: () -> () -> () -> T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
d_heytingAlgebra_962 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 T_BooleanAlgebra_914
v3
du_heytingAlgebra_962 ::
  T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 :: T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 T_BooleanAlgebra_914
v0
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> T_IsHeytingAlgebra_612
 -> T_HeytingAlgebra_764)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> T_IsHeytingAlgebra_612
-> T_HeytingAlgebra_764
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> T_IsHeytingAlgebra_612
-> T_HeytingAlgebra_764
C_constructor_906 (T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__946 (T_BooleanAlgebra_914 -> T_BooleanAlgebra_914
forall a b. a -> b
coe T_BooleanAlgebra_914
v0))
      (T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8743'__948 (T_BooleanAlgebra_914 -> T_BooleanAlgebra_914
forall a b. a -> b
coe T_BooleanAlgebra_914
v0))
      (\ AgdaAny
v1 -> (T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__946 T_BooleanAlgebra_914
v0 ((T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
d_'172'__950 T_BooleanAlgebra_914
v0 AgdaAny
v1))
      (T_BooleanAlgebra_914 -> AgdaAny
d_'8868'_952 (T_BooleanAlgebra_914 -> T_BooleanAlgebra_914
forall a b. a -> b
coe T_BooleanAlgebra_914
v0)) (T_BooleanAlgebra_914 -> AgdaAny
d_'8869'_954 (T_BooleanAlgebra_914 -> T_BooleanAlgebra_914
forall a b. a -> b
coe T_BooleanAlgebra_914
v0))
      (T_IsBooleanAlgebra_746 -> T_IsHeytingAlgebra_612
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isHeytingAlgebra_772
         ((T_BooleanAlgebra_914 -> T_IsBooleanAlgebra_746)
-> AgdaAny -> T_IsBooleanAlgebra_746
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_IsBooleanAlgebra_746
d_isBooleanAlgebra_956 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0)))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._._⇨_
d__'8680'__966 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8680'__966 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> AgdaAny
d__'8680'__966 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 AgdaAny
v4 = T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
du__'8680'__966 T_BooleanAlgebra_914
v3 AgdaAny
v4
du__'8680'__966 ::
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
du__'8680'__966 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
du__'8680'__966 T_BooleanAlgebra_914
v0 AgdaAny
v1
  = (T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8744'__946 T_BooleanAlgebra_914
v0 ((T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
d_'172'__950 T_BooleanAlgebra_914
v0 AgdaAny
v1)
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.antisym
d_antisym_968 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_968 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_antisym_968 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_968 T_BooleanAlgebra_914
v3
du_antisym_968 ::
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_968 :: T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_968 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPartialOrder_248
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_258
         ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
            ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
               ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
                  ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.boundedJoinSemilattice
d_boundedJoinSemilattice_970 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> T_BoundedJoinSemilattice_104
d_boundedJoinSemilattice_970 :: ()
-> () -> () -> T_BooleanAlgebra_914 -> T_BoundedJoinSemilattice_104
d_boundedJoinSemilattice_970 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3
  = T_BooleanAlgebra_914 -> T_BoundedJoinSemilattice_104
du_boundedJoinSemilattice_970 T_BooleanAlgebra_914
v3
du_boundedJoinSemilattice_970 ::
  T_BooleanAlgebra_914 -> T_BoundedJoinSemilattice_104
du_boundedJoinSemilattice_970 :: T_BooleanAlgebra_914 -> T_BoundedJoinSemilattice_104
du_boundedJoinSemilattice_970 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_BoundedJoinSemilattice_104
forall a b. a -> b
coe
      ((T_BoundedLattice_628 -> T_BoundedJoinSemilattice_104)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BoundedLattice_628 -> T_BoundedJoinSemilattice_104
du_boundedJoinSemilattice_738 ((T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.boundedLattice
d_boundedLattice_972 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> T_BoundedLattice_628
d_boundedLattice_972 :: () -> () -> () -> T_BooleanAlgebra_914 -> T_BoundedLattice_628
d_boundedLattice_972 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> T_BoundedLattice_628
du_boundedLattice_972 T_BooleanAlgebra_914
v3
du_boundedLattice_972 ::
  T_BooleanAlgebra_914 -> T_BoundedLattice_628
du_boundedLattice_972 :: T_BooleanAlgebra_914 -> T_BoundedLattice_628
du_boundedLattice_972 T_BooleanAlgebra_914
v0
  = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 ((T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.boundedMeetSemilattice
d_boundedMeetSemilattice_974 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> T_BoundedMeetSemilattice_294
d_boundedMeetSemilattice_974 :: ()
-> () -> () -> T_BooleanAlgebra_914 -> T_BoundedMeetSemilattice_294
d_boundedMeetSemilattice_974 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3
  = T_BooleanAlgebra_914 -> T_BoundedMeetSemilattice_294
du_boundedMeetSemilattice_974 T_BooleanAlgebra_914
v3
du_boundedMeetSemilattice_974 ::
  T_BooleanAlgebra_914 -> T_BoundedMeetSemilattice_294
du_boundedMeetSemilattice_974 :: T_BooleanAlgebra_914 -> T_BoundedMeetSemilattice_294
du_boundedMeetSemilattice_974 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_BoundedMeetSemilattice_294
forall a b. a -> b
coe
      ((T_BoundedLattice_628 -> T_BoundedMeetSemilattice_294)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BoundedLattice_628 -> T_BoundedMeetSemilattice_294
du_boundedMeetSemilattice_740 ((T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.exponential
d_exponential_976 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_exponential_976 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Σ_14
d_exponential_976 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
du_exponential_976 T_BooleanAlgebra_914
v3
du_exponential_976 ::
  T_BooleanAlgebra_914 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_exponential_976 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
du_exponential_976 T_BooleanAlgebra_914
v0
  = (T_IsHeytingAlgebra_612 -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsHeytingAlgebra_612 -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_exponential_630
      ((T_IsBooleanAlgebra_746 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBooleanAlgebra_746 -> T_IsHeytingAlgebra_612
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isHeytingAlgebra_772
         ((T_BooleanAlgebra_914 -> T_IsBooleanAlgebra_746)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_IsBooleanAlgebra_746
d_isBooleanAlgebra_956 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0)))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.infimum
d_infimum_978 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_infimum_978 :: ()
-> () -> () -> T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> T_Σ_14
d_infimum_978 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> T_Σ_14
du_infimum_978 T_BooleanAlgebra_914
v3
du_infimum_978 ::
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_infimum_978 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> T_Σ_14
du_infimum_978 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_infimum_364
         ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
            ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
               ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.isBoundedJoinSemilattice
d_isBoundedJoinSemilattice_980 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_980 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> T_IsBoundedJoinSemilattice_118
d_isBoundedJoinSemilattice_980 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3
  = T_BooleanAlgebra_914 -> T_IsBoundedJoinSemilattice_118
du_isBoundedJoinSemilattice_980 T_BooleanAlgebra_914
v3
du_isBoundedJoinSemilattice_980 ::
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedJoinSemilattice_118
du_isBoundedJoinSemilattice_980 :: T_BooleanAlgebra_914 -> T_IsBoundedJoinSemilattice_118
du_isBoundedJoinSemilattice_980 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_IsBoundedJoinSemilattice_118
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsBoundedLattice_514 -> T_IsBoundedJoinSemilattice_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedLattice_514 -> T_IsBoundedJoinSemilattice_118
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isBoundedJoinSemilattice_596
            ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.isBoundedLattice
d_isBoundedLattice_982 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedLattice_514
d_isBoundedLattice_982 :: () -> () -> () -> T_BooleanAlgebra_914 -> T_IsBoundedLattice_514
d_isBoundedLattice_982 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> T_IsBoundedLattice_514
du_isBoundedLattice_982 T_BooleanAlgebra_914
v3
du_isBoundedLattice_982 ::
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedLattice_514
du_isBoundedLattice_982 :: T_BooleanAlgebra_914 -> T_IsBoundedLattice_514
du_isBoundedLattice_982 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_IsBoundedLattice_514
forall a b. a -> b
coe
      ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
         ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.isBoundedMeetSemilattice
d_isBoundedMeetSemilattice_984 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_984 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> T_IsBoundedMeetSemilattice_280
d_isBoundedMeetSemilattice_984 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3
  = T_BooleanAlgebra_914 -> T_IsBoundedMeetSemilattice_280
du_isBoundedMeetSemilattice_984 T_BooleanAlgebra_914
v3
du_isBoundedMeetSemilattice_984 ::
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsBoundedMeetSemilattice_280
du_isBoundedMeetSemilattice_984 :: T_BooleanAlgebra_914 -> T_IsBoundedMeetSemilattice_280
du_isBoundedMeetSemilattice_984 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_IsBoundedMeetSemilattice_280
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsBoundedLattice_514 -> T_IsBoundedMeetSemilattice_280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedLattice_514 -> T_IsBoundedMeetSemilattice_280
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isBoundedMeetSemilattice_598
            ((T_BoundedLattice_628 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.isEquivalence
d_isEquivalence_986 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_986 :: () -> () -> () -> T_BooleanAlgebra_914 -> T_IsEquivalence_28
d_isEquivalence_986 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> T_IsEquivalence_28
du_isEquivalence_986 T_BooleanAlgebra_914
v3
du_isEquivalence_986 ::
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_986 :: T_BooleanAlgebra_914 -> T_IsEquivalence_28
du_isEquivalence_986 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
               ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                  ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
                     ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.isHeytingAlgebra
d_isHeytingAlgebra_988 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsHeytingAlgebra_612
d_isHeytingAlgebra_988 :: () -> () -> () -> T_BooleanAlgebra_914 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_988 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> T_IsHeytingAlgebra_612
du_isHeytingAlgebra_988 T_BooleanAlgebra_914
v3
du_isHeytingAlgebra_988 ::
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsHeytingAlgebra_612
du_isHeytingAlgebra_988 :: T_BooleanAlgebra_914 -> T_IsHeytingAlgebra_612
du_isHeytingAlgebra_988 T_BooleanAlgebra_914
v0
  = (T_IsBooleanAlgebra_746 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> T_IsHeytingAlgebra_612
forall a b. a -> b
coe
      T_IsBooleanAlgebra_746 -> T_IsHeytingAlgebra_612
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isHeytingAlgebra_772
      ((T_BooleanAlgebra_914 -> T_IsBooleanAlgebra_746)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_IsBooleanAlgebra_746
d_isBooleanAlgebra_956 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.isJoinSemilattice
d_isJoinSemilattice_990 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsJoinSemilattice_22
d_isJoinSemilattice_990 :: () -> () -> () -> T_BooleanAlgebra_914 -> T_IsJoinSemilattice_22
d_isJoinSemilattice_990 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3
  = T_BooleanAlgebra_914 -> T_IsJoinSemilattice_22
du_isJoinSemilattice_990 T_BooleanAlgebra_914
v3
du_isJoinSemilattice_990 ::
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsJoinSemilattice_22
du_isJoinSemilattice_990 :: T_BooleanAlgebra_914 -> T_IsJoinSemilattice_22
du_isJoinSemilattice_990 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_IsJoinSemilattice_22
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsBoundedLattice_514
v3 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
               ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                  (T_IsBoundedLattice_514 -> AgdaAny
forall a b. a -> b
coe T_IsBoundedLattice_514
v3)))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.isLattice
d_isLattice_992 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsLattice_348
d_isLattice_992 :: () -> () -> () -> T_BooleanAlgebra_914 -> T_IsLattice_348
d_isLattice_992 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> T_IsLattice_348
du_isLattice_992 T_BooleanAlgebra_914
v3
du_isLattice_992 ::
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsLattice_348
du_isLattice_992 :: T_BooleanAlgebra_914 -> T_IsLattice_348
du_isLattice_992 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_IsLattice_348
forall a b. a -> b
coe
      ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
         ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
            ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.isMeetSemilattice
d_isMeetSemilattice_994 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsMeetSemilattice_184
d_isMeetSemilattice_994 :: () -> () -> () -> T_BooleanAlgebra_914 -> T_IsMeetSemilattice_184
d_isMeetSemilattice_994 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3
  = T_BooleanAlgebra_914 -> T_IsMeetSemilattice_184
du_isMeetSemilattice_994 T_BooleanAlgebra_914
v3
du_isMeetSemilattice_994 ::
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsMeetSemilattice_184
du_isMeetSemilattice_994 :: T_BooleanAlgebra_914 -> T_IsMeetSemilattice_184
du_isMeetSemilattice_994 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_IsMeetSemilattice_184
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsBoundedLattice_514
v3 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
               ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                  (T_IsBoundedLattice_514 -> AgdaAny
forall a b. a -> b
coe T_IsBoundedLattice_514
v3)))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.isPartialOrder
d_isPartialOrder_996 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_248
d_isPartialOrder_996 :: () -> () -> () -> T_BooleanAlgebra_914 -> T_IsPartialOrder_248
d_isPartialOrder_996 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> T_IsPartialOrder_248
du_isPartialOrder_996 T_BooleanAlgebra_914
v3
du_isPartialOrder_996 ::
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_248
du_isPartialOrder_996 :: T_BooleanAlgebra_914 -> T_IsPartialOrder_248
du_isPartialOrder_996 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_IsPartialOrder_248
forall a b. a -> b
coe
      ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
         ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
            ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
               ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.isPreorder
d_isPreorder_998 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
d_isPreorder_998 :: () -> () -> () -> T_BooleanAlgebra_914 -> T_IsPreorder_76
d_isPreorder_998 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> T_IsPreorder_76
du_isPreorder_998 T_BooleanAlgebra_914
v3
du_isPreorder_998 ::
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
du_isPreorder_998 :: T_BooleanAlgebra_914 -> T_IsPreorder_76
du_isPreorder_998 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
            ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
               ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
                  ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.joinSemilattice
d_joinSemilattice_1000 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> T_JoinSemilattice_14
d_joinSemilattice_1000 :: () -> () -> () -> T_BooleanAlgebra_914 -> T_JoinSemilattice_14
d_joinSemilattice_1000 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> T_JoinSemilattice_14
du_joinSemilattice_1000 T_BooleanAlgebra_914
v3
du_joinSemilattice_1000 ::
  T_BooleanAlgebra_914 -> T_JoinSemilattice_14
du_joinSemilattice_1000 :: T_BooleanAlgebra_914 -> T_JoinSemilattice_14
du_joinSemilattice_1000 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_JoinSemilattice_14
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_Lattice_394 -> T_JoinSemilattice_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_JoinSemilattice_14
du_joinSemilattice_488 ((T_BoundedLattice_628 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.lattice
d_lattice_1002 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> T_Lattice_394
d_lattice_1002 :: () -> () -> () -> T_BooleanAlgebra_914 -> T_Lattice_394
d_lattice_1002 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> T_Lattice_394
du_lattice_1002 T_BooleanAlgebra_914
v3
du_lattice_1002 :: T_BooleanAlgebra_914 -> T_Lattice_394
du_lattice_1002 :: T_BooleanAlgebra_914 -> T_Lattice_394
du_lattice_1002 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_Lattice_394
forall a b. a -> b
coe ((T_BoundedLattice_628 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 ((T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.maximum
d_maximum_1004 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
d_maximum_1004 :: () -> () -> () -> T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
d_maximum_1004 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
du_maximum_1004 T_BooleanAlgebra_914
v3
du_maximum_1004 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
du_maximum_1004 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
du_maximum_1004 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsBoundedLattice_514 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBoundedLattice_514 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_maximum_532
         ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
            ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.meetSemilattice
d_meetSemilattice_1006 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> T_MeetSemilattice_204
d_meetSemilattice_1006 :: () -> () -> () -> T_BooleanAlgebra_914 -> T_MeetSemilattice_204
d_meetSemilattice_1006 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> T_MeetSemilattice_204
du_meetSemilattice_1006 T_BooleanAlgebra_914
v3
du_meetSemilattice_1006 ::
  T_BooleanAlgebra_914 -> T_MeetSemilattice_204
du_meetSemilattice_1006 :: T_BooleanAlgebra_914 -> T_MeetSemilattice_204
du_meetSemilattice_1006 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_MeetSemilattice_204
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_Lattice_394 -> T_MeetSemilattice_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_MeetSemilattice_204
du_meetSemilattice_490 ((T_BoundedLattice_628 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.minimum
d_minimum_1008 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
d_minimum_1008 :: () -> () -> () -> T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
d_minimum_1008 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
du_minimum_1008 T_BooleanAlgebra_914
v3
du_minimum_1008 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
du_minimum_1008 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
du_minimum_1008 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsBoundedLattice_514 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBoundedLattice_514 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_minimum_534
         ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
            ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.poset
d_poset_1010 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_492
d_poset_1010 :: () -> () -> () -> T_BooleanAlgebra_914 -> T_Poset_492
d_poset_1010 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> T_Poset_492
du_poset_1010 T_BooleanAlgebra_914
v3
du_poset_1010 ::
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_492
du_poset_1010 :: T_BooleanAlgebra_914 -> T_Poset_492
du_poset_1010 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_Poset_492
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_BoundedLattice_628 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_JoinSemilattice_14 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_Poset_492
du_poset_90 ((T_Lattice_394 -> T_JoinSemilattice_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_JoinSemilattice_14
du_joinSemilattice_488 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.preorder
d_preorder_1012 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_142
d_preorder_1012 :: () -> () -> () -> T_BooleanAlgebra_914 -> T_Preorder_142
d_preorder_1012 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> T_Preorder_142
du_preorder_1012 T_BooleanAlgebra_914
v3
du_preorder_1012 ::
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_142
du_preorder_1012 :: T_BooleanAlgebra_914 -> T_Preorder_142
du_preorder_1012 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_Preorder_142
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_BoundedLattice_628 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: AgdaAny
v4 = (T_Lattice_394 -> T_JoinSemilattice_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_JoinSemilattice_14
du_joinSemilattice_488 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Poset_492 -> T_Preorder_142
MAlonzo.Code.Relation.Binary.Bundles.du_preorder_522
                  ((T_JoinSemilattice_14 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_JoinSemilattice_14 -> T_Poset_492
du_poset_90 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.refl
d_refl_1014 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
d_refl_1014 :: () -> () -> () -> T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
d_refl_1014 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
du_refl_1014 T_BooleanAlgebra_914
v3
du_refl_1014 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
du_refl_1014 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
du_refl_1014 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsBoundedLattice_514
v3 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsLattice_348
v4
                   = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                       (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v5 :: T_IsPartialOrder_248
v5
                      = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                          (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v4) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsPreorder_76 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPreorder_76 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_104
                     ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                        (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v5)))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.reflexive
d_reflexive_1016 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_1016 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_reflexive_1016 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_1016 T_BooleanAlgebra_914
v3
du_reflexive_1016 ::
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_1016 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_1016 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_88
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
               ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                  ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
                     ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.setoid
d_setoid_1018 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_46
d_setoid_1018 :: () -> () -> () -> T_BooleanAlgebra_914 -> T_Setoid_46
d_setoid_1018 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> T_Setoid_46
du_setoid_1018 T_BooleanAlgebra_914
v3
du_setoid_1018 ::
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_46
du_setoid_1018 :: T_BooleanAlgebra_914 -> T_Setoid_46
du_setoid_1018 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_Setoid_46
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_Lattice_394 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Lattice_394 -> T_Setoid_46
du_setoid_486 ((T_BoundedLattice_628 -> T_Lattice_394) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BoundedLattice_628 -> T_Lattice_394
du_lattice_742 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.supremum
d_supremum_1020 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_supremum_1020 :: ()
-> () -> () -> T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> T_Σ_14
d_supremum_1020 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> T_Σ_14
du_supremum_1020 T_BooleanAlgebra_914
v3
du_supremum_1020 ::
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_supremum_1020 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> T_Σ_14
du_supremum_1020 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_348 -> AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_supremum_362
         ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
            ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
               ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.trans
d_trans_1022 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_1022 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_1022 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1022 T_BooleanAlgebra_914
v3
du_trans_1022 ::
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1022 :: T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1022 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
               ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                  ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
                     ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.transpose-⇨
d_transpose'45''8680'_1024 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_transpose'45''8680'_1024 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_transpose'45''8680'_1024 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3
  = T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_transpose'45''8680'_1024 T_BooleanAlgebra_914
v3
du_transpose'45''8680'_1024 ::
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_transpose'45''8680'_1024 :: T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_transpose'45''8680'_1024 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsHeytingAlgebra_612
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsHeytingAlgebra_612
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_transpose'45''8680'_638
         ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.transpose-∧
d_transpose'45''8743'_1026 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_transpose'45''8743'_1026 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_transpose'45''8743'_1026 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3
  = T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_transpose'45''8743'_1026 T_BooleanAlgebra_914
v3
du_transpose'45''8743'_1026 ::
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_transpose'45''8743'_1026 :: T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_transpose'45''8743'_1026 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsHeytingAlgebra_612
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsHeytingAlgebra_612
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_transpose'45''8743'_654
         ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.x∧y≤x
d_x'8743'y'8804'x_1028 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8743'y'8804'x_1028 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8743'y'8804'x_1028 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_1028 T_BooleanAlgebra_914
v3
du_x'8743'y'8804'x_1028 ::
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_1028 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'x_1028 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsBoundedLattice_514
v3 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsLattice_348
v4
                   = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                       (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8743'y'8804'x_200
                  ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
                     (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v4))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.x∧y≤y
d_x'8743'y'8804'y_1030 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8743'y'8804'y_1030 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8743'y'8804'y_1030 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_1030 T_BooleanAlgebra_914
v3
du_x'8743'y'8804'y_1030 ::
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_1030 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8743'y'8804'y_1030 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsBoundedLattice_514
v3 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsLattice_348
v4
                   = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                       (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsMeetSemilattice_184 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8743'y'8804'y_212
                  ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
                     (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v4))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.x≤x∨y
d_x'8804'x'8744'y_1032 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'x'8744'y_1032 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'x'8744'y_1032 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_1032 T_BooleanAlgebra_914
v3
du_x'8804'x'8744'y_1032 ::
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_1032 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'x'8744'y_1032 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsBoundedLattice_514
v3 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsLattice_348
v4
                   = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                       (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_x'8804'x'8744'y_38
                  ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
                     (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v4))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.y≤x∨y
d_y'8804'x'8744'y_1034 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
d_y'8804'x'8744'y_1034 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_y'8804'x'8744'y_1034 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_1034 T_BooleanAlgebra_914
v3
du_y'8804'x'8744'y_1034 ::
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_1034 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny
du_y'8804'x'8744'y_1034 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsBoundedLattice_514
v3 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsLattice_348
v4
                   = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                       (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsJoinSemilattice_22 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_y'8804'x'8744'y_50
                  ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
                     (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v4))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.∧-greatest
d_'8743''45'greatest_1036 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45'greatest_1036 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8743''45'greatest_1036 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3
  = T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_1036 T_BooleanAlgebra_914
v3
du_'8743''45'greatest_1036 ::
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_1036 :: T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'greatest_1036 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsBoundedLattice_514
v3 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsLattice_348
v4
                   = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                       (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsMeetSemilattice_184
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsMeetSemilattice_184
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_'8743''45'greatest_226
                  ((T_IsLattice_348 -> T_IsMeetSemilattice_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_348 -> T_IsMeetSemilattice_184
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isMeetSemilattice_368
                     (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v4))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.∨-least
d_'8744''45'least_1038 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8744''45'least_1038 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8744''45'least_1038 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_1038 T_BooleanAlgebra_914
v3
du_'8744''45'least_1038 ::
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_1038 :: T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'least_1038 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsBoundedLattice_514
v3 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsLattice_348
v4
                   = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                       (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsJoinSemilattice_22
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsJoinSemilattice_22
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_'8744''45'least_64
                  ((T_IsLattice_348 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_348 -> T_IsJoinSemilattice_22
MAlonzo.Code.Relation.Binary.Lattice.Structures.du_isJoinSemilattice_366
                     (T_IsLattice_348 -> AgdaAny
forall a b. a -> b
coe T_IsLattice_348
v4))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.∼-resp-≈
d_'8764''45'resp'45''8776'_1040 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_1040 :: () -> () -> () -> T_BooleanAlgebra_914 -> T_Σ_14
d_'8764''45'resp'45''8776'_1040 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3
  = T_BooleanAlgebra_914 -> T_Σ_14
du_'8764''45'resp'45''8776'_1040 T_BooleanAlgebra_914
v3
du_'8764''45'resp'45''8776'_1040 ::
  T_BooleanAlgebra_914 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_1040 :: T_BooleanAlgebra_914 -> T_Σ_14
du_'8764''45'resp'45''8776'_1040 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsBoundedLattice_514
v3 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsLattice_348
v4
                   = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                       (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v5 :: T_IsPartialOrder_248
v5
                      = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                          (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v4) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_124
                     ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                        (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v5)))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_1042 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_1042 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_1042 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3
  = T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_1042 T_BooleanAlgebra_914
v3
du_'8764''45'resp'691''45''8776'_1042 ::
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_1042 :: T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_1042 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsBoundedLattice_514
v3 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsLattice_348
v4
                   = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                       (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v5 :: T_IsPartialOrder_248
v5
                      = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                          (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v4) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_122
                     ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                        (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v5)))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_1044 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_1044 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_1044 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3
  = T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_1044 T_BooleanAlgebra_914
v3
du_'8764''45'resp'737''45''8776'_1044 ::
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_1044 :: T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_1044 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsBoundedLattice_514
v3 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsLattice_348
v4
                   = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                       (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v5 :: T_IsPartialOrder_248
v5
                      = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                          (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v4) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_120
                     ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                        (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v5)))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.≲-resp-≈
d_'8818''45'resp'45''8776'_1046 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_1046 :: () -> () -> () -> T_BooleanAlgebra_914 -> T_Σ_14
d_'8818''45'resp'45''8776'_1046 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3
  = T_BooleanAlgebra_914 -> T_Σ_14
du_'8818''45'resp'45''8776'_1046 T_BooleanAlgebra_914
v3
du_'8818''45'resp'45''8776'_1046 ::
  T_BooleanAlgebra_914 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_1046 :: T_BooleanAlgebra_914 -> T_Σ_14
du_'8818''45'resp'45''8776'_1046 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsBoundedLattice_514
v3 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsLattice_348
v4
                   = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                       (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v5 :: T_IsPartialOrder_248
v5
                      = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                          (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v4) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_118
                     ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                        (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v5)))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_1048 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_1048 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_1048 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3
  = T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_1048 T_BooleanAlgebra_914
v3
du_'8818''45'resp'691''45''8776'_1048 ::
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_1048 :: T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_1048 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsBoundedLattice_514
v3 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsLattice_348
v4
                   = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                       (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v5 :: T_IsPartialOrder_248
v5
                      = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                          (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v4) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_112
                     ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                        (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v5)))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_1050 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_1050 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_1050 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3
  = T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_1050 T_BooleanAlgebra_914
v3
du_'8818''45'resp'737''45''8776'_1050 ::
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_1050 :: T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_1050 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsBoundedLattice_514
v3 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsLattice_348
v4
                   = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                       (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v5 :: T_IsPartialOrder_248
v5
                      = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                          (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v4) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
                     ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                        (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v5)))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.Eq.isPartialEquivalence
d_isPartialEquivalence_1054 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_1054 :: () -> () -> () -> T_BooleanAlgebra_914 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_1054 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3
  = T_BooleanAlgebra_914 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_1054 T_BooleanAlgebra_914
v3
du_isPartialEquivalence_1054 ::
  T_BooleanAlgebra_914 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_1054 :: T_BooleanAlgebra_914 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_1054 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsBoundedLattice_514
v3 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsLattice_348
v4
                   = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                       (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v5 :: T_IsPartialOrder_248
v5
                      = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                          (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v4) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (let v6 :: T_IsPreorder_76
v6
                         = T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                             (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v5) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
                        ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                           (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v6))))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.Eq.refl
d_refl_1056 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
d_refl_1056 :: () -> () -> () -> T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
d_refl_1056 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
du_refl_1056 T_BooleanAlgebra_914
v3
du_refl_1056 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
du_refl_1056 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny
du_refl_1056 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
         ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                  ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                     ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
                        ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.Eq.reflexive
d_reflexive_1058 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_1058 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_1058 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_1058 T_BooleanAlgebra_914
v3
du_reflexive_1058 ::
  T_BooleanAlgebra_914 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_1058 :: T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_1058 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_HeytingAlgebra_764 -> T_BoundedLattice_628)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_BoundedLattice_628
du_boundedLattice_808 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsBoundedLattice_514
v3 = T_BoundedLattice_628 -> T_IsBoundedLattice_514
d_isBoundedLattice_666 (AgdaAny -> T_BoundedLattice_628
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: T_IsLattice_348
v4
                   = T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                       (T_IsBoundedLattice_514 -> T_IsBoundedLattice_514
forall a b. a -> b
coe T_IsBoundedLattice_514
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v5 :: T_IsPartialOrder_248
v5
                      = T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                          (T_IsLattice_348 -> T_IsLattice_348
forall a b. a -> b
coe T_IsLattice_348
v4) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (let v6 :: T_IsPreorder_76
v6
                         = T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
                             (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v5) in
                   (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
                     (\ AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 ->
                        (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
                          ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                             T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                             (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v6))
                          AgdaAny
v7))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.Eq.sym
d_sym_1060 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_1060 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_1060 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1060 T_BooleanAlgebra_914
v3
du_sym_1060 ::
  T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1060 :: T_BooleanAlgebra_914 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1060 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
         ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                  ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                     ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
                        ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))))))
-- Relation.Binary.Lattice.Bundles.BooleanAlgebra._.Eq.trans
d_trans_1062 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_1062 :: ()
-> ()
-> ()
-> T_BooleanAlgebra_914
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_1062 ~()
v0 ~()
v1 ~()
v2 T_BooleanAlgebra_914
v3 = T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1062 T_BooleanAlgebra_914
v3
du_trans_1062 ::
  T_BooleanAlgebra_914 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1062 :: T_BooleanAlgebra_914
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1062 T_BooleanAlgebra_914
v0
  = let v1 :: AgdaAny
v1 = (T_BooleanAlgebra_914 -> T_HeytingAlgebra_764)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914 -> T_HeytingAlgebra_764
du_heytingAlgebra_962 (T_BooleanAlgebra_914 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_914
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
         ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               ((T_IsLattice_348 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_348 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isPartialOrder_360
                  ((T_IsBoundedLattice_514 -> T_IsLattice_348) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsBoundedLattice_514 -> T_IsLattice_348
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isLattice_530
                     ((T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsHeytingAlgebra_612 -> T_IsBoundedLattice_514
MAlonzo.Code.Relation.Binary.Lattice.Structures.d_isBoundedLattice_628
                        ((T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_HeytingAlgebra_764 -> T_IsHeytingAlgebra_612
d_isHeytingAlgebra_806 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))))))