{-# 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.Algebra.Construct.NaturalChoice.MinMaxOp 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.Sigma
import qualified MAlonzo.Code.Agda.Primitive
import qualified MAlonzo.Code.Algebra.Bundles
import qualified MAlonzo.Code.Algebra.Consequences.Setoid
import qualified MAlonzo.Code.Algebra.Construct.NaturalChoice.Base
import qualified MAlonzo.Code.Algebra.Construct.NaturalChoice.MaxOp
import qualified MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp
import qualified MAlonzo.Code.Algebra.Structures
import qualified MAlonzo.Code.Data.Sum.Base
import qualified MAlonzo.Code.Function.Base
import qualified MAlonzo.Code.Relation.Binary.Bundles
import qualified MAlonzo.Code.Relation.Binary.Construct.Converse
import qualified MAlonzo.Code.Relation.Binary.Reasoning.Base.Double
import qualified MAlonzo.Code.Relation.Binary.Structures

-- Algebra.Construct.NaturalChoice.MinMaxOp._._≈_
d__'8776'__22 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> ()
d__'8776'__22 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> ()
d__'8776'__22 = T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinMaxOp._._≲_
d__'8818'__24 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> ()
d__'8818'__24 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> ()
d__'8818'__24 = T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinMaxOp._._⊓_
d__'8851'__76 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny
d__'8851'__76 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
d__'8851'__76 ~T_TotalPreorder_204
v0 T_MinOperator_84
v1 ~T_MaxOperator_114
v2 = T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
du__'8851'__76 T_MinOperator_84
v1
du__'8851'__76 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> AgdaAny -> AgdaAny
du__'8851'__76 :: T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
du__'8851'__76 T_MinOperator_84
v0
  = (T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100
      (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v0)
-- Algebra.Construct.NaturalChoice.MinMaxOp._._Absorbs_
d__Absorbs__92 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d__Absorbs__92 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d__Absorbs__92 = ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinMaxOp._._DistributesOver_
d__DistributesOver__94 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d__DistributesOver__94 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d__DistributesOver__94 = ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinMaxOp._._DistributesOverʳ_
d__DistributesOver'691'__96 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d__DistributesOver'691'__96 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d__DistributesOver'691'__96 = ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinMaxOp._._DistributesOverˡ_
d__DistributesOver'737'__98 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d__DistributesOver'737'__98 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d__DistributesOver'737'__98 = ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinMaxOp._.Absorptive
d_Absorptive_102 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Absorptive_102 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Absorptive_102 = ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinMaxOp._.IsDistributiveLattice
d_IsDistributiveLattice_186 :: p -> p -> p -> p -> p -> p -> p -> p -> ()
d_IsDistributiveLattice_186 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 p
a6 p
a7 = ()
-- Algebra.Construct.NaturalChoice.MinMaxOp._.IsLattice
d_IsLattice_192 :: p -> p -> p -> p -> p -> p -> p -> p -> ()
d_IsLattice_192 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 p
a6 p
a7 = ()
-- Algebra.Construct.NaturalChoice.MinMaxOp._.mono-≤-distrib-⊓
d_mono'45''8804''45'distrib'45''8851'_1678 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
d_mono'45''8804''45'distrib'45''8851'_1678 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_mono'45''8804''45'distrib'45''8851'_1678 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_mono'45''8804''45'distrib'45''8851'_1678 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_mono'45''8804''45'distrib'45''8851'_1678 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
du_mono'45''8804''45'distrib'45''8851'_1678 :: T_TotalPreorder_204
-> T_MinOperator_84
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_mono'45''8804''45'distrib'45''8851'_1678 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> (AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_mono'45''8804''45'distrib'45''8851'_1936
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x≤y⇒x⊓z≤y
d_x'8804'y'8658'x'8851'z'8804'y_1680 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8658'x'8851'z'8804'y_1680 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8658'x'8851'z'8804'y_1680 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'x'8851'z'8804'y_1680 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_x'8804'y'8658'x'8851'z'8804'y_1680 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8658'x'8851'z'8804'y_1680 :: T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'x'8851'z'8804'y_1680 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8658'x'8851'z'8804'y_1982
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x≤y⇒z⊓x≤y
d_x'8804'y'8658'z'8851'x'8804'y_1682 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8658'z'8851'x'8804'y_1682 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8658'z'8851'x'8804'y_1682 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'z'8851'x'8804'y_1682 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_x'8804'y'8658'z'8851'x'8804'y_1682 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8658'z'8851'x'8804'y_1682 :: T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'z'8851'x'8804'y_1682 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8658'z'8851'x'8804'y_1994
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x≤y⊓z⇒x≤y
d_x'8804'y'8851'z'8658'x'8804'y_1684 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'y_1684 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'y_1684 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'y_1684 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_x'8804'y'8851'z'8658'x'8804'y_1684 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'y_1684 :: T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'y_1684 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8851'z'8658'x'8804'y_2006
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x≤y⊓z⇒x≤z
d_x'8804'y'8851'z'8658'x'8804'z_1686 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'z_1686 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'z_1686 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'z_1686 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_x'8804'y'8851'z'8658'x'8804'z_1686 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'z_1686 :: T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'z_1686 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8851'z'8658'x'8804'z_2020
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x⊓y≈x⇒x≤y
d_x'8851'y'8776'x'8658'x'8804'y_1688 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8776'x'8658'x'8804'y_1688 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8776'x'8658'x'8804'y_1688 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'x'8658'x'8804'y_1688 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_x'8851'y'8776'x'8658'x'8804'y_1688 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'x'8658'x'8804'y_1688 :: T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'x'8658'x'8804'y_1688 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8776'x'8658'x'8804'y_1890
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x⊓y≈y⇒y≤x
d_x'8851'y'8776'y'8658'y'8804'x_1690 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8776'y'8658'y'8804'x_1690 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8776'y'8658'y'8804'x_1690 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'y'8658'y'8804'x_1690 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_x'8851'y'8776'y'8658'y'8804'x_1690 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'y'8658'y'8804'x_1690 :: T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'y'8658'y'8804'x_1690 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8776'y'8658'y'8804'x_1922
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x⊓y≤x
d_x'8851'y'8804'x_1692 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8804'x_1692 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8804'x_1692 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_1692 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_x'8851'y'8804'x_1692 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_1692 :: T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_1692 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'x_1626
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x⊓y≤y
d_x'8851'y'8804'y_1694 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8804'y_1694 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8804'y_1694 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_1694 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_x'8851'y'8804'y_1694 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_1694 :: T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_1694 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'y_1652
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-assoc
d_'8851''45'assoc_1696 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'assoc_1696 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'assoc_1696 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'assoc_1696 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'assoc_1696 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'assoc_1696 :: T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'assoc_1696 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'assoc_1762
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-band
d_'8851''45'band_1698 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_Band_266
d_'8851''45'band_1698 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_Band_266
d_'8851''45'band_1698 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MinOperator_84 -> T_Band_266
du_'8851''45'band_1698 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'band_1698 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Bundles.T_Band_266
du_'8851''45'band_1698 :: T_TotalPreorder_204 -> T_MinOperator_84 -> T_Band_266
du_'8851''45'band_1698 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_Band_266)
-> AgdaAny -> AgdaAny -> T_Band_266
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_Band_266
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'band_1872
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-comm
d_'8851''45'comm_1700 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'comm_1700 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'comm_1700 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_1700 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'comm_1700 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_1700 :: T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_1700 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'comm_1674
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-commutativeSemigroup
d_'8851''45'commutativeSemigroup_1702 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeSemigroup_332
d_'8851''45'commutativeSemigroup_1702 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_CommutativeSemigroup_332
d_'8851''45'commutativeSemigroup_1702 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84 -> T_CommutativeSemigroup_332
du_'8851''45'commutativeSemigroup_1702 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'commutativeSemigroup_1702 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeSemigroup_332
du_'8851''45'commutativeSemigroup_1702 :: T_TotalPreorder_204
-> T_MinOperator_84 -> T_CommutativeSemigroup_332
du_'8851''45'commutativeSemigroup_1702 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> T_CommutativeSemigroup_332)
-> AgdaAny -> AgdaAny -> T_CommutativeSemigroup_332
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> T_CommutativeSemigroup_332
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'commutativeSemigroup_1874
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-cong
d_'8851''45'cong_1704 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'cong_1704 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'cong_1704 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong_1704 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'cong_1704 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'cong_1704 :: T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong_1704 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong_1748
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-congʳ
d_'8851''45'cong'691'_1706 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'cong'691'_1706 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'cong'691'_1706 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'691'_1706 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'cong'691'_1706 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'cong'691'_1706 :: T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'691'_1706 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'691'_1738
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-congˡ
d_'8851''45'cong'737'_1708 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'cong'737'_1708 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'cong'737'_1708 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'737'_1708 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'cong'737'_1708 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'cong'737'_1708 :: T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'737'_1708 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_1700
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-glb
d_'8851''45'glb_1710 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'glb_1710 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'glb_1710 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'glb_1710 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'glb_1710 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'glb_1710 :: T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'glb_1710 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'glb_2100
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-idem
d_'8851''45'idem_1712 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny
d_'8851''45'idem_1712 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
d_'8851''45'idem_1712 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MinOperator_84 -> AgdaAny -> AgdaAny
du_'8851''45'idem_1712 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'idem_1712 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> AgdaAny
du_'8851''45'idem_1712 :: T_TotalPreorder_204 -> T_MinOperator_84 -> AgdaAny -> AgdaAny
du_'8851''45'idem_1712 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'idem_1802
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-identity
d_'8851''45'identity_1714 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8851''45'identity_1714 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Σ_14
d_'8851''45'identity_1714 ~T_TotalPreorder_204
v0 T_MinOperator_84
v1 ~T_MaxOperator_114
v2 AgdaAny
v3 AgdaAny -> AgdaAny
v4
  = T_MinOperator_84 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'identity_1714 T_MinOperator_84
v1 AgdaAny
v3 AgdaAny -> AgdaAny
v4
du_'8851''45'identity_1714 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8851''45'identity_1714 :: T_MinOperator_84 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'identity_1714 T_MinOperator_84
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2
  = (AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
      ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 ->
            (T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_112
              T_MinOperator_84
v0 AgdaAny
v1 AgdaAny
v3 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)))
      ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 ->
            (T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_106
              T_MinOperator_84
v0 AgdaAny
v3 AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-identityʳ
d_'8851''45'identity'691'_1716 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'identity'691'_1716 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'identity'691'_1716 ~T_TotalPreorder_204
v0 T_MinOperator_84
v1 ~T_MaxOperator_114
v2 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = T_MinOperator_84
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'691'_1716 T_MinOperator_84
v1 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
du_'8851''45'identity'691'_1716 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'691'_1716 :: T_MinOperator_84
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'691'_1716 T_MinOperator_84
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_106
      T_MinOperator_84
v0 AgdaAny
v3 AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-identityˡ
d_'8851''45'identity'737'_1718 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'identity'737'_1718 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'identity'737'_1718 ~T_TotalPreorder_204
v0 T_MinOperator_84
v1 ~T_MaxOperator_114
v2 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = T_MinOperator_84
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'737'_1718 T_MinOperator_84
v1 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
du_'8851''45'identity'737'_1718 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'737'_1718 :: T_MinOperator_84
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'737'_1718 T_MinOperator_84
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_112
      T_MinOperator_84
v0 AgdaAny
v1 AgdaAny
v3 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isBand
d_'8851''45'isBand_1720 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsBand_230
d_'8851''45'isBand_1720 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsBand_230
d_'8851''45'isBand_1720 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsBand_230
du_'8851''45'isBand_1720 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'isBand_1720 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Structures.T_IsBand_230
du_'8851''45'isBand_1720 :: T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsBand_230
du_'8851''45'isBand_1720 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsBand_230)
-> AgdaAny -> AgdaAny -> T_IsBand_230
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsBand_230
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isBand_1852
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isCommutativeSemigroup
d_'8851''45'isCommutativeSemigroup_1722 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_270
d_'8851''45'isCommutativeSemigroup_1722 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsCommutativeSemigroup_270
d_'8851''45'isCommutativeSemigroup_1722 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84 -> T_IsCommutativeSemigroup_270
du_'8851''45'isCommutativeSemigroup_1722 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'isCommutativeSemigroup_1722 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_270
du_'8851''45'isCommutativeSemigroup_1722 :: T_TotalPreorder_204
-> T_MinOperator_84 -> T_IsCommutativeSemigroup_270
du_'8851''45'isCommutativeSemigroup_1722 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> T_IsCommutativeSemigroup_270)
-> AgdaAny -> AgdaAny -> T_IsCommutativeSemigroup_270
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> T_IsCommutativeSemigroup_270
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isCommutativeSemigroup_1854
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isMagma
d_'8851''45'isMagma_1724 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_'8851''45'isMagma_1724 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsMagma_86
d_'8851''45'isMagma_1724 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsMagma_86
du_'8851''45'isMagma_1724 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'isMagma_1724 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_86
du_'8851''45'isMagma_1724 :: T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsMagma_86
du_'8851''45'isMagma_1724 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsMagma_86)
-> AgdaAny -> AgdaAny -> T_IsMagma_86
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsMagma_86
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isMagma_1848
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isMonoid
d_'8851''45'isMonoid_1726 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_'8851''45'isMonoid_1726 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_358
d_'8851''45'isMonoid_1726 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_358
du_'8851''45'isMonoid_1726 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'isMonoid_1726 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
du_'8851''45'isMonoid_1726 :: T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_358
du_'8851''45'isMonoid_1726 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> (AgdaAny -> AgdaAny)
 -> T_IsMonoid_358)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_358
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_358
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isMonoid_1862
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isSelectiveMagma
d_'8851''45'isSelectiveMagma_1728 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsSelectiveMagma_158
d_'8851''45'isSelectiveMagma_1728 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsSelectiveMagma_158
d_'8851''45'isSelectiveMagma_1728 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSelectiveMagma_158
du_'8851''45'isSelectiveMagma_1728 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'isSelectiveMagma_1728 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Structures.T_IsSelectiveMagma_158
du_'8851''45'isSelectiveMagma_1728 :: T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSelectiveMagma_158
du_'8851''45'isSelectiveMagma_1728 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSelectiveMagma_158)
-> AgdaAny -> AgdaAny -> T_IsSelectiveMagma_158
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSelectiveMagma_158
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isSelectiveMagma_1858
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isSemigroup
d_'8851''45'isSemigroup_1730 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_'8851''45'isSemigroup_1730 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsSemigroup_194
d_'8851''45'isSemigroup_1730 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemigroup_194
du_'8851''45'isSemigroup_1730 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'isSemigroup_1730 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
du_'8851''45'isSemigroup_1730 :: T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemigroup_194
du_'8851''45'isSemigroup_1730 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemigroup_194)
-> AgdaAny -> AgdaAny -> T_IsSemigroup_194
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isSemigroup_1850
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isSemilattice
d_'8851''45'isSemilattice_1732 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemilattice_312
d_'8851''45'isSemilattice_1732 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsSemilattice_312
d_'8851''45'isSemilattice_1732 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemilattice_312
du_'8851''45'isSemilattice_1732 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'isSemilattice_1732 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemilattice_312
du_'8851''45'isSemilattice_1732 :: T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemilattice_312
du_'8851''45'isSemilattice_1732 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemilattice_312)
-> AgdaAny -> AgdaAny -> T_IsSemilattice_312
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemilattice_312
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isSemilattice_1856
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-magma
d_'8851''45'magma_1734 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_Magma_36
d_'8851''45'magma_1734 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_Magma_36
d_'8851''45'magma_1734 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MinOperator_84 -> T_Magma_36
du_'8851''45'magma_1734 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'magma_1734 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Bundles.T_Magma_36
du_'8851''45'magma_1734 :: T_TotalPreorder_204 -> T_MinOperator_84 -> T_Magma_36
du_'8851''45'magma_1734 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_Magma_36)
-> AgdaAny -> AgdaAny -> T_Magma_36
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_Magma_36
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'magma_1868
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-mono-≤
d_'8851''45'mono'45''8804'_1736 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'mono'45''8804'_1736 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'mono'45''8804'_1736 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'45''8804'_1736 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'mono'45''8804'_1736 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'mono'45''8804'_1736 :: T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'45''8804'_1736 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'45''8804'_2028
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-monoid
d_'8851''45'monoid_1738 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Algebra.Bundles.T_Monoid_506
d_'8851''45'monoid_1738 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_506
d_'8851''45'monoid_1738 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_506
du_'8851''45'monoid_1738 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'monoid_1738 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Algebra.Bundles.T_Monoid_506
du_'8851''45'monoid_1738 :: T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_506
du_'8851''45'monoid_1738 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> (AgdaAny -> AgdaAny)
 -> T_Monoid_506)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_506
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_506
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'monoid_1882
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-monoʳ-≤
d_'8851''45'mono'691''45''8804'_1740 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'mono'691''45''8804'_1740 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'mono'691''45''8804'_1740 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'691''45''8804'_1740 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'mono'691''45''8804'_1740 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'mono'691''45''8804'_1740 :: T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'691''45''8804'_1740 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'691''45''8804'_2088
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-monoˡ-≤
d_'8851''45'mono'737''45''8804'_1742 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'mono'737''45''8804'_1742 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'mono'737''45''8804'_1742 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'737''45''8804'_1742 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'mono'737''45''8804'_1742 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'mono'737''45''8804'_1742 :: T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'737''45''8804'_1742 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'737''45''8804'_2078
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-rawMagma
d_'8851''45'rawMagma_1744 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_RawMagma_8
d_'8851''45'rawMagma_1744 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_RawMagma_8
d_'8851''45'rawMagma_1744 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_MinOperator_84 -> T_RawMagma_8
du_'8851''45'rawMagma_1744 T_MinOperator_84
v4
du_'8851''45'rawMagma_1744 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Bundles.T_RawMagma_8
du_'8851''45'rawMagma_1744 :: T_MinOperator_84 -> T_RawMagma_8
du_'8851''45'rawMagma_1744 T_MinOperator_84
v0
  = (T_MinOperator_84 -> T_RawMagma_8) -> AgdaAny -> T_RawMagma_8
forall a b. a -> b
coe
      T_MinOperator_84 -> T_RawMagma_8
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'rawMagma_1866
      (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v0)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-sel
d_'8851''45'sel_1746 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_'8851''45'sel_1746 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> T__'8846'__30
d_'8851''45'sel_1746 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> T__'8846'__30
du_'8851''45'sel_1746 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'sel_1746 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
du_'8851''45'sel_1746 :: T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> T__'8846'__30
du_'8851''45'sel_1746 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'sel_1806
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-selectiveMagma
d_'8851''45'selectiveMagma_1748 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_SelectiveMagma_90
d_'8851''45'selectiveMagma_1748 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_SelectiveMagma_90
d_'8851''45'selectiveMagma_1748 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MinOperator_84 -> T_SelectiveMagma_90
du_'8851''45'selectiveMagma_1748 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'selectiveMagma_1748 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Bundles.T_SelectiveMagma_90
du_'8851''45'selectiveMagma_1748 :: T_TotalPreorder_204 -> T_MinOperator_84 -> T_SelectiveMagma_90
du_'8851''45'selectiveMagma_1748 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_SelectiveMagma_90)
-> AgdaAny -> AgdaAny -> T_SelectiveMagma_90
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_SelectiveMagma_90
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'selectiveMagma_1878
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-semigroup
d_'8851''45'semigroup_1750 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_Semigroup_206
d_'8851''45'semigroup_1750 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_Semigroup_206
d_'8851''45'semigroup_1750 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semigroup_206
du_'8851''45'semigroup_1750 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'semigroup_1750 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Bundles.T_Semigroup_206
du_'8851''45'semigroup_1750 :: T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semigroup_206
du_'8851''45'semigroup_1750 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semigroup_206)
-> AgdaAny -> AgdaAny -> T_Semigroup_206
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semigroup_206
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'semigroup_1870
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-semilattice
d_'8851''45'semilattice_1752 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_Semilattice_402
d_'8851''45'semilattice_1752 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_Semilattice_402
d_'8851''45'semilattice_1752 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semilattice_402
du_'8851''45'semilattice_1752 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'semilattice_1752 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Bundles.T_Semilattice_402
du_'8851''45'semilattice_1752 :: T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semilattice_402
du_'8851''45'semilattice_1752 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semilattice_402)
-> AgdaAny -> AgdaAny -> T_Semilattice_402
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semilattice_402
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'semilattice_1876
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-triangulate
d_'8851''45'triangulate_1754 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'triangulate_1754 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'triangulate_1754 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 ~T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'triangulate_1754 T_TotalPreorder_204
v3 T_MinOperator_84
v4
du_'8851''45'triangulate_1754 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'triangulate_1754 :: T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'triangulate_1754 T_TotalPreorder_204
v0 T_MinOperator_84
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'triangulate_2114
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-zero
d_'8851''45'zero_1756 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8851''45'zero_1756 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Σ_14
d_'8851''45'zero_1756 ~T_TotalPreorder_204
v0 T_MinOperator_84
v1 ~T_MaxOperator_114
v2 AgdaAny
v3 AgdaAny -> AgdaAny
v4
  = T_MinOperator_84 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'zero_1756 T_MinOperator_84
v1 AgdaAny
v3 AgdaAny -> AgdaAny
v4
du_'8851''45'zero_1756 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8851''45'zero_1756 :: T_MinOperator_84 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'zero_1756 T_MinOperator_84
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2
  = (AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
      ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 ->
            (T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_106
              T_MinOperator_84
v0 AgdaAny
v1 AgdaAny
v3 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)))
      ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 ->
            (T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_112
              T_MinOperator_84
v0 AgdaAny
v3 AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-zeroʳ
d_'8851''45'zero'691'_1758 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'zero'691'_1758 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'zero'691'_1758 ~T_TotalPreorder_204
v0 T_MinOperator_84
v1 ~T_MaxOperator_114
v2 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = T_MinOperator_84
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'691'_1758 T_MinOperator_84
v1 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
du_'8851''45'zero'691'_1758 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'691'_1758 :: T_MinOperator_84
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'691'_1758 T_MinOperator_84
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_112
      T_MinOperator_84
v0 AgdaAny
v3 AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-zeroˡ
d_'8851''45'zero'737'_1760 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'zero'737'_1760 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'zero'737'_1760 ~T_TotalPreorder_204
v0 T_MinOperator_84
v1 ~T_MaxOperator_114
v2 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = T_MinOperator_84
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'737'_1760 T_MinOperator_84
v1 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
du_'8851''45'zero'737'_1760 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'737'_1760 :: T_MinOperator_84
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'737'_1760 T_MinOperator_84
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_106
      T_MinOperator_84
v0 AgdaAny
v1 AgdaAny
v3 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.mono-≤-distrib-⊔
d_mono'45''8804''45'distrib'45''8852'_1764 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
d_mono'45''8804''45'distrib'45''8852'_1764 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_mono'45''8804''45'distrib'45''8852'_1764 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_mono'45''8804''45'distrib'45''8852'_1764 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_mono'45''8804''45'distrib'45''8852'_1764 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
du_mono'45''8804''45'distrib'45''8852'_1764 :: T_TotalPreorder_204
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_mono'45''8804''45'distrib'45''8852'_1764 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MaxOperator_114
 -> (AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MaxOp.du_mono'45''8804''45'distrib'45''8852'_172
      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x⊓y≤x
d_x'8851'y'8804'x_1766 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8804'x_1766 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8804'x_1766 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_1766 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_x'8851'y'8804'x_1766 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_1766 :: T_TotalPreorder_204
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_1766 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'x_1626
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x≤y⇒x⊓z≤y
d_x'8804'y'8658'x'8851'z'8804'y_1768 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8658'x'8851'z'8804'y_1768 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8658'x'8851'z'8804'y_1768 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'x'8851'z'8804'y_1768 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_x'8804'y'8658'x'8851'z'8804'y_1768 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8658'x'8851'z'8804'y_1768 :: T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'x'8851'z'8804'y_1768 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8658'x'8851'z'8804'y_1982
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x≤y⇒z⊓x≤y
d_x'8804'y'8658'z'8851'x'8804'y_1770 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8658'z'8851'x'8804'y_1770 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8658'z'8851'x'8804'y_1770 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'z'8851'x'8804'y_1770 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_x'8804'y'8658'z'8851'x'8804'y_1770 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8658'z'8851'x'8804'y_1770 :: T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'z'8851'x'8804'y_1770 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8658'z'8851'x'8804'y_1994
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x⊓y≤y
d_x'8851'y'8804'y_1772 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8804'y_1772 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8804'y_1772 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_1772 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_x'8851'y'8804'y_1772 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_1772 :: T_TotalPreorder_204
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_1772 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'y_1652
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x⊓y≈x⇒x≤y
d_x'8851'y'8776'x'8658'x'8804'y_1774 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8776'x'8658'x'8804'y_1774 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8776'x'8658'x'8804'y_1774 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'x'8658'x'8804'y_1774 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_x'8851'y'8776'x'8658'x'8804'y_1774 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'x'8658'x'8804'y_1774 :: T_TotalPreorder_204
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'x'8658'x'8804'y_1774 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8776'x'8658'x'8804'y_1890
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x⊓y≈y⇒y≤x
d_x'8851'y'8776'y'8658'y'8804'x_1776 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8776'y'8658'y'8804'x_1776 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8776'y'8658'y'8804'x_1776 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'y'8658'y'8804'x_1776 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_x'8851'y'8776'y'8658'y'8804'x_1776 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'y'8658'y'8804'x_1776 :: T_TotalPreorder_204
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'y'8658'y'8804'x_1776 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8776'y'8658'y'8804'x_1922
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x≤y⊓z⇒x≤y
d_x'8804'y'8851'z'8658'x'8804'y_1778 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'y_1778 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'y_1778 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'y_1778 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_x'8804'y'8851'z'8658'x'8804'y_1778 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'y_1778 :: T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'y_1778 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8851'z'8658'x'8804'y_2006
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x≤y⊓z⇒x≤z
d_x'8804'y'8851'z'8658'x'8804'z_1780 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'z_1780 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'z_1780 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'z_1780 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_x'8804'y'8851'z'8658'x'8804'z_1780 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'z_1780 :: T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'z_1780 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8851'z'8658'x'8804'z_2020
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-assoc
d_'8851''45'assoc_1782 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'assoc_1782 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'assoc_1782 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'assoc_1782 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'assoc_1782 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'assoc_1782 :: T_TotalPreorder_204
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'assoc_1782 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'assoc_1762
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-band
d_'8851''45'band_1784 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_Band_266
d_'8851''45'band_1784 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_Band_266
d_'8851''45'band_1784 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MaxOperator_114 -> T_Band_266
du_'8851''45'band_1784 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'band_1784 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_Band_266
du_'8851''45'band_1784 :: T_TotalPreorder_204 -> T_MaxOperator_114 -> T_Band_266
du_'8851''45'band_1784 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_Band_266)
-> AgdaAny -> AgdaAny -> T_Band_266
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_Band_266
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'band_1872
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-comm
d_'8851''45'comm_1786 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'comm_1786 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'comm_1786 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_1786 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'comm_1786 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_1786 :: T_TotalPreorder_204
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_1786 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'comm_1674
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-commutativeSemigroup
d_'8851''45'commutativeSemigroup_1788 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeSemigroup_332
d_'8851''45'commutativeSemigroup_1788 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_CommutativeSemigroup_332
d_'8851''45'commutativeSemigroup_1788 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114 -> T_CommutativeSemigroup_332
du_'8851''45'commutativeSemigroup_1788 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'commutativeSemigroup_1788 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeSemigroup_332
du_'8851''45'commutativeSemigroup_1788 :: T_TotalPreorder_204
-> T_MaxOperator_114 -> T_CommutativeSemigroup_332
du_'8851''45'commutativeSemigroup_1788 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> T_CommutativeSemigroup_332)
-> AgdaAny -> AgdaAny -> T_CommutativeSemigroup_332
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> T_CommutativeSemigroup_332
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'commutativeSemigroup_1874
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-cong
d_'8851''45'cong_1790 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'cong_1790 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'cong_1790 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong_1790 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'cong_1790 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'cong_1790 :: T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong_1790 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong_1748
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-congʳ
d_'8851''45'cong'691'_1792 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'cong'691'_1792 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'cong'691'_1792 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'691'_1792 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'cong'691'_1792 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'cong'691'_1792 :: T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'691'_1792 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'691'_1738
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-congˡ
d_'8851''45'cong'737'_1794 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'cong'737'_1794 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'cong'737'_1794 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'737'_1794 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'cong'737'_1794 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'cong'737'_1794 :: T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'737'_1794 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_1700
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-idem
d_'8851''45'idem_1796 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny
d_'8851''45'idem_1796 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
d_'8851''45'idem_1796 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MaxOperator_114 -> AgdaAny -> AgdaAny
du_'8851''45'idem_1796 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'idem_1796 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny
du_'8851''45'idem_1796 :: T_TotalPreorder_204 -> T_MaxOperator_114 -> AgdaAny -> AgdaAny
du_'8851''45'idem_1796 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'idem_1802
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-identity
d_'8851''45'identity_1798 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8851''45'identity_1798 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Σ_14
d_'8851''45'identity_1798 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7
  = T_MaxOperator_114 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'identity_1798 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7
du_'8851''45'identity_1798 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8851''45'identity_1798 :: T_MaxOperator_114 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'identity_1798 T_MaxOperator_114
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2
  = (AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
      ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 ->
            (T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8852'y'8776'y_136
              T_MaxOperator_114
v0 AgdaAny
v1 AgdaAny
v3 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)))
      ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 ->
            (T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_142
              T_MaxOperator_114
v0 AgdaAny
v3 AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-identityʳ
d_'8851''45'identity'691'_1800 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'identity'691'_1800 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'identity'691'_1800 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
  = T_MaxOperator_114
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'691'_1800 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
du_'8851''45'identity'691'_1800 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'691'_1800 :: T_MaxOperator_114
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'691'_1800 T_MaxOperator_114
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_142
      T_MaxOperator_114
v0 AgdaAny
v3 AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-identityˡ
d_'8851''45'identity'737'_1802 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'identity'737'_1802 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'identity'737'_1802 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
  = T_MaxOperator_114
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'737'_1802 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
du_'8851''45'identity'737'_1802 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'737'_1802 :: T_MaxOperator_114
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'737'_1802 T_MaxOperator_114
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8852'y'8776'y_136
      T_MaxOperator_114
v0 AgdaAny
v1 AgdaAny
v3 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isBand
d_'8851''45'isBand_1804 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsBand_230
d_'8851''45'isBand_1804 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsBand_230
d_'8851''45'isBand_1804 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MaxOperator_114 -> T_IsBand_230
du_'8851''45'isBand_1804 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'isBand_1804 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsBand_230
du_'8851''45'isBand_1804 :: T_TotalPreorder_204 -> T_MaxOperator_114 -> T_IsBand_230
du_'8851''45'isBand_1804 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsBand_230)
-> AgdaAny -> AgdaAny -> T_IsBand_230
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsBand_230
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isBand_1852
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isCommutativeSemigroup
d_'8851''45'isCommutativeSemigroup_1806 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_270
d_'8851''45'isCommutativeSemigroup_1806 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsCommutativeSemigroup_270
d_'8851''45'isCommutativeSemigroup_1806 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114 -> T_IsCommutativeSemigroup_270
du_'8851''45'isCommutativeSemigroup_1806 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'isCommutativeSemigroup_1806 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_270
du_'8851''45'isCommutativeSemigroup_1806 :: T_TotalPreorder_204
-> T_MaxOperator_114 -> T_IsCommutativeSemigroup_270
du_'8851''45'isCommutativeSemigroup_1806 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> T_IsCommutativeSemigroup_270)
-> AgdaAny -> AgdaAny -> T_IsCommutativeSemigroup_270
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> T_IsCommutativeSemigroup_270
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isCommutativeSemigroup_1854
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isMagma
d_'8851''45'isMagma_1808 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_'8851''45'isMagma_1808 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsMagma_86
d_'8851''45'isMagma_1808 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MaxOperator_114 -> T_IsMagma_86
du_'8851''45'isMagma_1808 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'isMagma_1808 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_86
du_'8851''45'isMagma_1808 :: T_TotalPreorder_204 -> T_MaxOperator_114 -> T_IsMagma_86
du_'8851''45'isMagma_1808 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsMagma_86)
-> AgdaAny -> AgdaAny -> T_IsMagma_86
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsMagma_86
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isMagma_1848
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isMonoid
d_'8851''45'isMonoid_1810 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_'8851''45'isMonoid_1810 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_358
d_'8851''45'isMonoid_1810 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_358
du_'8851''45'isMonoid_1810 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'isMonoid_1810 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
du_'8851''45'isMonoid_1810 :: T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_358
du_'8851''45'isMonoid_1810 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> (AgdaAny -> AgdaAny)
 -> T_IsMonoid_358)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_358
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_358
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isMonoid_1862
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isSelectiveMagma
d_'8851''45'isSelectiveMagma_1812 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsSelectiveMagma_158
d_'8851''45'isSelectiveMagma_1812 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsSelectiveMagma_158
d_'8851''45'isSelectiveMagma_1812 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MaxOperator_114 -> T_IsSelectiveMagma_158
du_'8851''45'isSelectiveMagma_1812 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'isSelectiveMagma_1812 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsSelectiveMagma_158
du_'8851''45'isSelectiveMagma_1812 :: T_TotalPreorder_204 -> T_MaxOperator_114 -> T_IsSelectiveMagma_158
du_'8851''45'isSelectiveMagma_1812 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSelectiveMagma_158)
-> AgdaAny -> AgdaAny -> T_IsSelectiveMagma_158
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSelectiveMagma_158
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isSelectiveMagma_1858
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isSemigroup
d_'8851''45'isSemigroup_1814 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_'8851''45'isSemigroup_1814 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsSemigroup_194
d_'8851''45'isSemigroup_1814 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MaxOperator_114 -> T_IsSemigroup_194
du_'8851''45'isSemigroup_1814 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'isSemigroup_1814 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
du_'8851''45'isSemigroup_1814 :: T_TotalPreorder_204 -> T_MaxOperator_114 -> T_IsSemigroup_194
du_'8851''45'isSemigroup_1814 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemigroup_194)
-> AgdaAny -> AgdaAny -> T_IsSemigroup_194
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isSemigroup_1850
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isSemilattice
d_'8851''45'isSemilattice_1816 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemilattice_312
d_'8851''45'isSemilattice_1816 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsSemilattice_312
d_'8851''45'isSemilattice_1816 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MaxOperator_114 -> T_IsSemilattice_312
du_'8851''45'isSemilattice_1816 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'isSemilattice_1816 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemilattice_312
du_'8851''45'isSemilattice_1816 :: T_TotalPreorder_204 -> T_MaxOperator_114 -> T_IsSemilattice_312
du_'8851''45'isSemilattice_1816 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemilattice_312)
-> AgdaAny -> AgdaAny -> T_IsSemilattice_312
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemilattice_312
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isSemilattice_1856
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-glb
d_'8851''45'glb_1818 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'glb_1818 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'glb_1818 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'glb_1818 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'glb_1818 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'glb_1818 :: T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'glb_1818 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'glb_2100
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-magma
d_'8851''45'magma_1820 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_Magma_36
d_'8851''45'magma_1820 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_Magma_36
d_'8851''45'magma_1820 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MaxOperator_114 -> T_Magma_36
du_'8851''45'magma_1820 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'magma_1820 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_Magma_36
du_'8851''45'magma_1820 :: T_TotalPreorder_204 -> T_MaxOperator_114 -> T_Magma_36
du_'8851''45'magma_1820 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_Magma_36)
-> AgdaAny -> AgdaAny -> T_Magma_36
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_Magma_36
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'magma_1868
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-mono-≤
d_'8851''45'mono'45''8804'_1822 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'mono'45''8804'_1822 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'mono'45''8804'_1822 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'45''8804'_1822 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'mono'45''8804'_1822 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'mono'45''8804'_1822 :: T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'45''8804'_1822 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'45''8804'_2028
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-monoid
d_'8851''45'monoid_1824 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Algebra.Bundles.T_Monoid_506
d_'8851''45'monoid_1824 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_506
d_'8851''45'monoid_1824 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_506
du_'8851''45'monoid_1824 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'monoid_1824 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Algebra.Bundles.T_Monoid_506
du_'8851''45'monoid_1824 :: T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_506
du_'8851''45'monoid_1824 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> (AgdaAny -> AgdaAny)
 -> T_Monoid_506)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_506
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_506
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'monoid_1882
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-monoʳ-≤
d_'8851''45'mono'691''45''8804'_1826 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'mono'691''45''8804'_1826 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'mono'691''45''8804'_1826 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'691''45''8804'_1826 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'mono'691''45''8804'_1826 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'mono'691''45''8804'_1826 :: T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'691''45''8804'_1826 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'691''45''8804'_2088
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-monoˡ-≤
d_'8851''45'mono'737''45''8804'_1828 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'mono'737''45''8804'_1828 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'mono'737''45''8804'_1828 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'737''45''8804'_1828 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'mono'737''45''8804'_1828 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'mono'737''45''8804'_1828 :: T_TotalPreorder_204
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'737''45''8804'_1828 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'737''45''8804'_2078
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-sel
d_'8851''45'sel_1830 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_'8851''45'sel_1830 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> T__'8846'__30
d_'8851''45'sel_1830 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> T__'8846'__30
du_'8851''45'sel_1830 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'sel_1830 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
du_'8851''45'sel_1830 :: T_TotalPreorder_204
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> T__'8846'__30
du_'8851''45'sel_1830 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'sel_1806
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-selectiveMagma
d_'8851''45'selectiveMagma_1832 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_SelectiveMagma_90
d_'8851''45'selectiveMagma_1832 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_SelectiveMagma_90
d_'8851''45'selectiveMagma_1832 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MaxOperator_114 -> T_SelectiveMagma_90
du_'8851''45'selectiveMagma_1832 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'selectiveMagma_1832 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_SelectiveMagma_90
du_'8851''45'selectiveMagma_1832 :: T_TotalPreorder_204 -> T_MaxOperator_114 -> T_SelectiveMagma_90
du_'8851''45'selectiveMagma_1832 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_SelectiveMagma_90)
-> AgdaAny -> AgdaAny -> T_SelectiveMagma_90
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_SelectiveMagma_90
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'selectiveMagma_1878
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-semigroup
d_'8851''45'semigroup_1834 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_Semigroup_206
d_'8851''45'semigroup_1834 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_Semigroup_206
d_'8851''45'semigroup_1834 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MaxOperator_114 -> T_Semigroup_206
du_'8851''45'semigroup_1834 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'semigroup_1834 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_Semigroup_206
du_'8851''45'semigroup_1834 :: T_TotalPreorder_204 -> T_MaxOperator_114 -> T_Semigroup_206
du_'8851''45'semigroup_1834 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semigroup_206)
-> AgdaAny -> AgdaAny -> T_Semigroup_206
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semigroup_206
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'semigroup_1870
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-semilattice
d_'8851''45'semilattice_1836 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_Semilattice_402
d_'8851''45'semilattice_1836 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_Semilattice_402
d_'8851''45'semilattice_1836 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204 -> T_MaxOperator_114 -> T_Semilattice_402
du_'8851''45'semilattice_1836 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'semilattice_1836 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_Semilattice_402
du_'8851''45'semilattice_1836 :: T_TotalPreorder_204 -> T_MaxOperator_114 -> T_Semilattice_402
du_'8851''45'semilattice_1836 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semilattice_402)
-> AgdaAny -> AgdaAny -> T_Semilattice_402
forall a b. a -> b
coe
      T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semilattice_402
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'semilattice_1876
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-triangulate
d_'8851''45'triangulate_1838 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'triangulate_1838 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'triangulate_1838 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'triangulate_1838 T_TotalPreorder_204
v3 T_MaxOperator_114
v5
du_'8851''45'triangulate_1838 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'triangulate_1838 :: T_TotalPreorder_204
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'triangulate_1838 T_TotalPreorder_204
v0 T_MaxOperator_114
v1
  = (T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'triangulate_2114
      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-zero
d_'8851''45'zero_1840 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8851''45'zero_1840 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Σ_14
d_'8851''45'zero_1840 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7
  = T_MaxOperator_114 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'zero_1840 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7
du_'8851''45'zero_1840 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8851''45'zero_1840 :: T_MaxOperator_114 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'zero_1840 T_MaxOperator_114
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2
  = (AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
      ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 ->
            (T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_142
              T_MaxOperator_114
v0 AgdaAny
v1 AgdaAny
v3 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)))
      ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 ->
            (T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8852'y'8776'y_136
              T_MaxOperator_114
v0 AgdaAny
v3 AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-zeroʳ
d_'8851''45'zero'691'_1842 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'zero'691'_1842 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'zero'691'_1842 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
  = T_MaxOperator_114
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'691'_1842 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
du_'8851''45'zero'691'_1842 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'691'_1842 :: T_MaxOperator_114
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'691'_1842 T_MaxOperator_114
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8852'y'8776'y_136
      T_MaxOperator_114
v0 AgdaAny
v3 AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-zeroˡ
d_'8851''45'zero'737'_1844 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'zero'737'_1844 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'zero'737'_1844 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_204
v3 ~T_MinOperator_84
v4 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
  = T_MaxOperator_114
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'737'_1844 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
du_'8851''45'zero'737'_1844 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'737'_1844 :: T_MaxOperator_114
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'737'_1844 T_MaxOperator_114
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_142
      T_MaxOperator_114
v0 AgdaAny
v1 AgdaAny
v3 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊓-distribˡ-⊔
d_'8851''45'distrib'737''45''8852'_1846 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'distrib'737''45''8852'_1846 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'distrib'737''45''8852'_1846 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny
v7
                                        AgdaAny
v8
  = T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'distrib'737''45''8852'_1846 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
du_'8851''45'distrib'737''45''8852'_1846 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'distrib'737''45''8852'_1846 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'distrib'737''45''8852'_1846 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = let v6 :: t
v6
          = (T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> t
forall a b. a -> b
coe
              T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_128
              (T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                 (T_TotalPreorder_204 -> T_TotalPreorder_204
forall a b. a -> b
coe T_TotalPreorder_204
v0))
              AgdaAny
v4 AgdaAny
v5 in
    AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
forall a. a
v6 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v7
           -> (T__IsRelatedTo__56 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T__IsRelatedTo__56 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_begin'45'equality__124
                ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776'_156
                   ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                      ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                   ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                      AgdaAny
v3
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v4 AgdaAny
v5))
                   ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                      AgdaAny
v3 AgdaAny
v5)
                   ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v3 AgdaAny
v4)
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v3 AgdaAny
v5))
                   ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776''728'_176
                      ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                         ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v3 AgdaAny
v5)
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                            AgdaAny
v3 AgdaAny
v4)
                         ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                            AgdaAny
v3 AgdaAny
v5))
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                            AgdaAny
v3 AgdaAny
v4)
                         ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                            AgdaAny
v3 AgdaAny
v5))
                      ((T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du__'8718'_234
                         ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                            ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                               (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                         ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                            ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                               AgdaAny
v3 AgdaAny
v4)
                            ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                               AgdaAny
v3 AgdaAny
v5)))
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8852'y'8776'y_136
                         T_MaxOperator_114
v2
                         (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
                            ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                               AgdaAny
v3)
                            (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v8) AgdaAny
v4 AgdaAny
v5)
                         (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
                            (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v9)
                            ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                               AgdaAny
v3)
                            AgdaAny
v4 AgdaAny
v5)
                         ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'691''45''8804'_2088
                            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v7))))
                   ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_1700
                      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v4 AgdaAny
v5)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5)
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8852'y'8776'y_136
                         T_MaxOperator_114
v2 AgdaAny
v4 AgdaAny
v5 AgdaAny
v7)))
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v7
           -> (T__IsRelatedTo__56 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T__IsRelatedTo__56 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_begin'45'equality__124
                ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776'_156
                   ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                      ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                   ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                      AgdaAny
v3
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v4 AgdaAny
v5))
                   ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                      AgdaAny
v3 AgdaAny
v4)
                   ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v3 AgdaAny
v4)
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v3 AgdaAny
v5))
                   ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776''728'_176
                      ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                         ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v3 AgdaAny
v4)
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                            AgdaAny
v3 AgdaAny
v4)
                         ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                            AgdaAny
v3 AgdaAny
v5))
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                            AgdaAny
v3 AgdaAny
v4)
                         ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                            AgdaAny
v3 AgdaAny
v5))
                      ((T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du__'8718'_234
                         ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                            ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                               (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                         ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                            ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                               AgdaAny
v3 AgdaAny
v4)
                            ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                               AgdaAny
v3 AgdaAny
v5)))
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_142
                         T_MaxOperator_114
v2
                         (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
                            (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v9)
                            ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                               AgdaAny
v3)
                            AgdaAny
v5 AgdaAny
v4)
                         (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
                            ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                               AgdaAny
v3)
                            (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v8) AgdaAny
v5 AgdaAny
v4)
                         ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'691''45''8804'_2088
                            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v7))))
                   ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_1700
                      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v4 AgdaAny
v5)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_142
                         T_MaxOperator_114
v2 AgdaAny
v4 AgdaAny
v5 AgdaAny
v7)))
         T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊓-distribʳ-⊔
d_'8851''45'distrib'691''45''8852'_1874 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'distrib'691''45''8852'_1874 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'distrib'691''45''8852'_1874 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'distrib'691''45''8852'_1874 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
du_'8851''45'distrib'691''45''8852'_1874 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'distrib'691''45''8852'_1874 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'distrib'691''45''8852'_1874 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2
  = (T_Setoid_44
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny
     -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Consequences.Setoid.du_comm'43'distr'737''8658'distr'691'_312
      ((T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Preorder_132 -> T_Setoid_44
MAlonzo.Code.Relation.Binary.Bundles.du_setoid_174
         ((T_TotalPreorder_204 -> T_Preorder_132) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_TotalPreorder_204 -> T_Preorder_132
MAlonzo.Code.Relation.Binary.Bundles.du_preorder_248 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100
         (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1))
      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong_1748
         ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
         ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
            (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2)))
      ((T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'comm_1674
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1))
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> T_MaxOperator_114
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'distrib'737''45''8852'_1846 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊓-distrib-⊔
d_'8851''45'distrib'45''8852'_1876 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8851''45'distrib'45''8852'_1876 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_Σ_14
d_'8851''45'distrib'45''8852'_1876 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14
du_'8851''45'distrib'45''8852'_1876 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
du_'8851''45'distrib'45''8852'_1876 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8851''45'distrib'45''8852'_1876 :: T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14
du_'8851''45'distrib'45''8852'_1876 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2
  = (AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> T_MaxOperator_114
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'distrib'737''45''8852'_1846 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> T_MaxOperator_114
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'distrib'691''45''8852'_1874 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊔-distribˡ-⊓
d_'8852''45'distrib'737''45''8851'_1878 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8852''45'distrib'737''45''8851'_1878 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8852''45'distrib'737''45''8851'_1878 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny
v7
                                        AgdaAny
v8
  = T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'distrib'737''45''8851'_1878 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
du_'8852''45'distrib'737''45''8851'_1878 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8852''45'distrib'737''45''8851'_1878 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'distrib'737''45''8851'_1878 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = let v6 :: t
v6
          = (T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> t
forall a b. a -> b
coe
              T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_128
              (T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                 (T_TotalPreorder_204 -> T_TotalPreorder_204
forall a b. a -> b
coe T_TotalPreorder_204
v0))
              AgdaAny
v4 AgdaAny
v5 in
    AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
forall a. a
v6 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v7
           -> (T__IsRelatedTo__56 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T__IsRelatedTo__56 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_begin'45'equality__124
                ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776'_156
                   ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                      ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                   ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                      AgdaAny
v3
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v4 AgdaAny
v5))
                   ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                      AgdaAny
v3 AgdaAny
v4)
                   ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v3 AgdaAny
v4)
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v3 AgdaAny
v5))
                   ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776''728'_176
                      ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                         ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v3 AgdaAny
v4)
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                            AgdaAny
v3 AgdaAny
v4)
                         ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                            AgdaAny
v3 AgdaAny
v5))
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                            AgdaAny
v3 AgdaAny
v4)
                         ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                            AgdaAny
v3 AgdaAny
v5))
                      ((T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du__'8718'_234
                         ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                            ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                               (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                         ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                            ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                               AgdaAny
v3 AgdaAny
v4)
                            ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                               AgdaAny
v3 AgdaAny
v5)))
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_106
                         T_MinOperator_84
v1
                         (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
                            (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v9)
                            ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                               AgdaAny
v3)
                            AgdaAny
v5 AgdaAny
v4)
                         (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
                            ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                               AgdaAny
v3)
                            (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v8) AgdaAny
v5 AgdaAny
v4)
                         ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'691''45''8804'_2088
                            ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
                               (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
                            ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
                               (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
                            (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v7))))
                   ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_1700
                      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
                         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
                      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
                         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v4 AgdaAny
v5)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_106
                         T_MinOperator_84
v1 AgdaAny
v4 AgdaAny
v5 AgdaAny
v7)))
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v7
           -> (T__IsRelatedTo__56 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T__IsRelatedTo__56 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_begin'45'equality__124
                ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776'_156
                   ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                      ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                   ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                      AgdaAny
v3
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v4 AgdaAny
v5))
                   ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                      AgdaAny
v3 AgdaAny
v5)
                   ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v3 AgdaAny
v4)
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v3 AgdaAny
v5))
                   ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776''728'_176
                      ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                         ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v3 AgdaAny
v5)
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                            AgdaAny
v3 AgdaAny
v4)
                         ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                            AgdaAny
v3 AgdaAny
v5))
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                            AgdaAny
v3 AgdaAny
v4)
                         ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                            AgdaAny
v3 AgdaAny
v5))
                      ((T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du__'8718'_234
                         ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                            ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                               (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                         ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                            ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                               AgdaAny
v3 AgdaAny
v4)
                            ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                               AgdaAny
v3 AgdaAny
v5)))
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_112
                         T_MinOperator_84
v1
                         (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
                            ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                               AgdaAny
v3)
                            (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v8) AgdaAny
v4 AgdaAny
v5)
                         (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
                            (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v9)
                            ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                               AgdaAny
v3)
                            AgdaAny
v4 AgdaAny
v5)
                         ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'691''45''8804'_2088
                            ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
                               (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
                            ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
                               (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
                            (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v7))))
                   ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_1700
                      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
                         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
                      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
                         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v4 AgdaAny
v5)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5)
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_112
                         T_MinOperator_84
v1 AgdaAny
v4 AgdaAny
v5 AgdaAny
v7)))
         T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊔-distribʳ-⊓
d_'8852''45'distrib'691''45''8851'_1906 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8852''45'distrib'691''45''8851'_1906 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8852''45'distrib'691''45''8851'_1906 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'distrib'691''45''8851'_1906 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
du_'8852''45'distrib'691''45''8851'_1906 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8852''45'distrib'691''45''8851'_1906 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'distrib'691''45''8851'_1906 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2
  = (T_Setoid_44
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny
     -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Consequences.Setoid.du_comm'43'distr'737''8658'distr'691'_312
      ((T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Preorder_132 -> T_Setoid_44
MAlonzo.Code.Relation.Binary.Bundles.du_setoid_174
         ((T_TotalPreorder_204 -> T_Preorder_132) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_TotalPreorder_204 -> T_Preorder_132
MAlonzo.Code.Relation.Binary.Bundles.du_preorder_248 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100
         (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1))
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong_1748
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1))
      ((T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'comm_1674
         ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
         ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
            (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2)))
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> T_MaxOperator_114
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'distrib'737''45''8851'_1878 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊔-distrib-⊓
d_'8852''45'distrib'45''8851'_1908 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8852''45'distrib'45''8851'_1908 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_Σ_14
d_'8852''45'distrib'45''8851'_1908 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14
du_'8852''45'distrib'45''8851'_1908 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
du_'8852''45'distrib'45''8851'_1908 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8852''45'distrib'45''8851'_1908 :: T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14
du_'8852''45'distrib'45''8851'_1908 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2
  = (AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> T_MaxOperator_114
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'distrib'737''45''8851'_1878 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> T_MaxOperator_114
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'distrib'691''45''8851'_1906 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊓-absorbs-⊔
d_'8851''45'absorbs'45''8852'_1910 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'absorbs'45''8852'_1910 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'absorbs'45''8852'_1910 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny
v7
  = T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'absorbs'45''8852'_1910 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny
v7
du_'8851''45'absorbs'45''8852'_1910 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'absorbs'45''8852'_1910 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'absorbs'45''8852'_1910 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2 AgdaAny
v3 AgdaAny
v4
  = let v5 :: t
v5
          = (T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> t
forall a b. a -> b
coe
              T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_128
              (T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                 (T_TotalPreorder_204 -> T_TotalPreorder_204
forall a b. a -> b
coe T_TotalPreorder_204
v0))
              AgdaAny
v3 AgdaAny
v4 in
    AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
forall a. a
v5 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v6
           -> (T__IsRelatedTo__56 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T__IsRelatedTo__56 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_begin'45'equality__124
                ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776'_156
                   ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                      ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                   ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                      AgdaAny
v3
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v3 AgdaAny
v4))
                   ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                      AgdaAny
v3 AgdaAny
v4)
                   (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                   ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776'_156
                      ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                         ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v3 AgdaAny
v4)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du__'8718'_234
                         ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                            ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                               (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_106
                         T_MinOperator_84
v1 AgdaAny
v3 AgdaAny
v4 AgdaAny
v6))
                   ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_1700
                      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v3 AgdaAny
v4)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8852'y'8776'y_136
                         T_MaxOperator_114
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v6)))
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v6
           -> (T__IsRelatedTo__56 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T__IsRelatedTo__56 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_begin'45'equality__124
                ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776'_156
                   ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                      ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                   ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                      AgdaAny
v3
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v3 AgdaAny
v4))
                   ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                      AgdaAny
v3 AgdaAny
v3)
                   (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                   ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776'_156
                      ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                         ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v3 AgdaAny
v3)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du__'8718'_234
                         ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                            ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                               (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))
                      ((T_TotalPreorder_204 -> T_MinOperator_84 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_204 -> T_MinOperator_84 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'idem_1802
                         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))
                   ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_1700
                      (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v3 AgdaAny
v4)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_142
                         T_MaxOperator_114
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v6)))
         T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊔-absorbs-⊓
d_'8852''45'absorbs'45''8851'_1932 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'8852''45'absorbs'45''8851'_1932 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8852''45'absorbs'45''8851'_1932 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny
v7
  = T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'absorbs'45''8851'_1932 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny
v7
du_'8852''45'absorbs'45''8851'_1932 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'8852''45'absorbs'45''8851'_1932 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'absorbs'45''8851'_1932 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2 AgdaAny
v3 AgdaAny
v4
  = let v5 :: t
v5
          = (T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> t
forall a b. a -> b
coe
              T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_128
              (T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                 (T_TotalPreorder_204 -> T_TotalPreorder_204
forall a b. a -> b
coe T_TotalPreorder_204
v0))
              AgdaAny
v3 AgdaAny
v4 in
    AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
forall a. a
v5 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v6
           -> (T__IsRelatedTo__56 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T__IsRelatedTo__56 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_begin'45'equality__124
                ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776'_156
                   ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                      ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                   ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                      AgdaAny
v3
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v3 AgdaAny
v4))
                   ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                      AgdaAny
v3 AgdaAny
v3)
                   (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                   ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776'_156
                      ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                         ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v3 AgdaAny
v3)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du__'8718'_234
                         ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                            ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                               (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))
                      ((T_TotalPreorder_204 -> T_MinOperator_84 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_204 -> T_MinOperator_84 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'idem_1802
                         ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
                            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
                         ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
                            (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))
                   ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_1700
                      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
                         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
                      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
                         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v3 AgdaAny
v4)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_106
                         T_MinOperator_84
v1 AgdaAny
v3 AgdaAny
v4 AgdaAny
v6)))
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v6
           -> (T__IsRelatedTo__56 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T__IsRelatedTo__56 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_begin'45'equality__124
                ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776'_156
                   ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                      ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                   ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                      AgdaAny
v3
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v3 AgdaAny
v4))
                   ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                      AgdaAny
v3 AgdaAny
v4)
                   (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                   ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776'_156
                      ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                         ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v3 AgdaAny
v4)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du__'8718'_234
                         ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                            ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                               (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_142
                         T_MaxOperator_114
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v6))
                   ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_1700
                      ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
                         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
                      ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
                         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v3 AgdaAny
v4)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_112
                         T_MinOperator_84
v1 AgdaAny
v3 AgdaAny
v4 AgdaAny
v6)))
         T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊔-⊓-absorptive
d_'8852''45''8851''45'absorptive_1954 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8852''45''8851''45'absorptive_1954 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_Σ_14
d_'8852''45''8851''45'absorptive_1954 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14
du_'8852''45''8851''45'absorptive_1954 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
du_'8852''45''8851''45'absorptive_1954 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8852''45''8851''45'absorptive_1954 :: T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14
du_'8852''45''8851''45'absorptive_1954 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2
  = (AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> T_MaxOperator_114
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'absorbs'45''8851'_1932 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1) (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> T_MaxOperator_114
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'absorbs'45''8852'_1910 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1) (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊓-⊔-absorptive
d_'8851''45''8852''45'absorptive_1956 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8851''45''8852''45'absorptive_1956 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_Σ_14
d_'8851''45''8852''45'absorptive_1956 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14
du_'8851''45''8852''45'absorptive_1956 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
du_'8851''45''8852''45'absorptive_1956 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8851''45''8852''45'absorptive_1956 :: T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14
du_'8851''45''8852''45'absorptive_1956 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2
  = (AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> T_MaxOperator_114
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'absorbs'45''8852'_1910 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1) (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> T_MaxOperator_114
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'absorbs'45''8851'_1932 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1) (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊔-⊓-isLattice
d_'8852''45''8851''45'isLattice_1958 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsLattice_740
d_'8852''45''8851''45'isLattice_1958 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsLattice_740
d_'8852''45''8851''45'isLattice_1958 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_IsLattice_740
du_'8852''45''8851''45'isLattice_1958 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
du_'8852''45''8851''45'isLattice_1958 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsLattice_740
du_'8852''45''8851''45'isLattice_1958 :: T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_IsLattice_740
du_'8852''45''8851''45'isLattice_1958 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2
  = (T_IsEquivalence_26
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny
     -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny
     -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_IsLattice_740)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_IsLattice_740
forall a b. a -> b
coe
      T_IsEquivalence_26
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.C_IsLattice'46'constructor_20027
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
         ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
            ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
               (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))))
      ((T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'comm_1674
         ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
         ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
            (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2)))
      ((T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'assoc_1762
         ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
         ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
            (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2)))
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong_1748
         ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
         ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
            (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2)))
      ((T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'comm_1674
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1))
      ((T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'assoc_1762
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1))
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong_1748
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1))
      ((T_TotalPreorder_204
 -> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14
du_'8852''45''8851''45'absorptive_1954 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1) (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊓-⊔-isLattice
d_'8851''45''8852''45'isLattice_1960 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsLattice_740
d_'8851''45''8852''45'isLattice_1960 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsLattice_740
d_'8851''45''8852''45'isLattice_1960 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_IsLattice_740
du_'8851''45''8852''45'isLattice_1960 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
du_'8851''45''8852''45'isLattice_1960 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsLattice_740
du_'8851''45''8852''45'isLattice_1960 :: T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_IsLattice_740
du_'8851''45''8852''45'isLattice_1960 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2
  = (T_IsEquivalence_26
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny
     -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny
     -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_IsLattice_740)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_IsLattice_740
forall a b. a -> b
coe
      T_IsEquivalence_26
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.C_IsLattice'46'constructor_20027
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
         ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
            ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
               (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))))
      ((T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'comm_1674
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1))
      ((T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'assoc_1762
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1))
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong_1748
         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1))
      ((T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'comm_1674
         ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
         ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
            (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2)))
      ((T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'assoc_1762
         ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
         ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
            (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2)))
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong_1748
         ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
         ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
            (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2)))
      ((T_TotalPreorder_204
 -> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14
du_'8851''45''8852''45'absorptive_1956 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1) (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊓-⊔-isDistributiveLattice
d_'8851''45''8852''45'isDistributiveLattice_1962 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsDistributiveLattice_814
d_'8851''45''8852''45'isDistributiveLattice_1962 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsDistributiveLattice_814
d_'8851''45''8852''45'isDistributiveLattice_1962 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4
                                                 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsDistributiveLattice_814
du_'8851''45''8852''45'isDistributiveLattice_1962 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
du_'8851''45''8852''45'isDistributiveLattice_1962 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsDistributiveLattice_814
du_'8851''45''8852''45'isDistributiveLattice_1962 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsDistributiveLattice_814
du_'8851''45''8852''45'isDistributiveLattice_1962 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2
  = (T_IsLattice_740
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
      T_IsLattice_740
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.C_IsDistributiveLattice'46'constructor_24097
      ((T_TotalPreorder_204
 -> T_MinOperator_84 -> T_MaxOperator_114 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_IsLattice_740
du_'8851''45''8852''45'isLattice_1960 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1) (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> T_MaxOperator_114
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'distrib'691''45''8852'_1874 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊔-⊓-isDistributiveLattice
d_'8852''45''8851''45'isDistributiveLattice_1964 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsDistributiveLattice_814
d_'8852''45''8851''45'isDistributiveLattice_1964 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsDistributiveLattice_814
d_'8852''45''8851''45'isDistributiveLattice_1964 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4
                                                 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsDistributiveLattice_814
du_'8852''45''8851''45'isDistributiveLattice_1964 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
du_'8852''45''8851''45'isDistributiveLattice_1964 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Structures.T_IsDistributiveLattice_814
du_'8852''45''8851''45'isDistributiveLattice_1964 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsDistributiveLattice_814
du_'8852''45''8851''45'isDistributiveLattice_1964 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2
  = (T_IsLattice_740
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
      T_IsLattice_740
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.C_IsDistributiveLattice'46'constructor_24097
      ((T_TotalPreorder_204
 -> T_MinOperator_84 -> T_MaxOperator_114 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_IsLattice_740
du_'8852''45''8851''45'isLattice_1958 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1) (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> T_MaxOperator_114
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'distrib'691''45''8851'_1906 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊔-⊓-lattice
d_'8852''45''8851''45'lattice_1966 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_Lattice_1144
d_'8852''45''8851''45'lattice_1966 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_Lattice_1144
d_'8852''45''8851''45'lattice_1966 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Lattice_1144
du_'8852''45''8851''45'lattice_1966 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
du_'8852''45''8851''45'lattice_1966 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_Lattice_1144
du_'8852''45''8851''45'lattice_1966 :: T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Lattice_1144
du_'8852''45''8851''45'lattice_1966 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsLattice_740
 -> T_Lattice_1144)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> T_Lattice_1144
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740
-> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.C_Lattice'46'constructor_19309
      (T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130
         (T_MaxOperator_114 -> T_MaxOperator_114
forall a b. a -> b
coe T_MaxOperator_114
v2))
      (T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100
         (T_MinOperator_84 -> T_MinOperator_84
forall a b. a -> b
coe T_MinOperator_84
v1))
      ((T_TotalPreorder_204
 -> T_MinOperator_84 -> T_MaxOperator_114 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_IsLattice_740
du_'8852''45''8851''45'isLattice_1958 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1) (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊓-⊔-lattice
d_'8851''45''8852''45'lattice_1968 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_Lattice_1144
d_'8851''45''8852''45'lattice_1968 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_Lattice_1144
d_'8851''45''8852''45'lattice_1968 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Lattice_1144
du_'8851''45''8852''45'lattice_1968 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
du_'8851''45''8852''45'lattice_1968 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_Lattice_1144
du_'8851''45''8852''45'lattice_1968 :: T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Lattice_1144
du_'8851''45''8852''45'lattice_1968 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsLattice_740
 -> T_Lattice_1144)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> T_Lattice_1144
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740
-> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.C_Lattice'46'constructor_19309
      (T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100
         (T_MinOperator_84 -> T_MinOperator_84
forall a b. a -> b
coe T_MinOperator_84
v1))
      (T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130
         (T_MaxOperator_114 -> T_MaxOperator_114
forall a b. a -> b
coe T_MaxOperator_114
v2))
      ((T_TotalPreorder_204
 -> T_MinOperator_84 -> T_MaxOperator_114 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_IsLattice_740
du_'8851''45''8852''45'isLattice_1960 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1) (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊔-⊓-distributiveLattice
d_'8852''45''8851''45'distributiveLattice_1970 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_DistributiveLattice_1228
d_'8852''45''8851''45'distributiveLattice_1970 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_DistributiveLattice_1228
d_'8852''45''8851''45'distributiveLattice_1970 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_DistributiveLattice_1228
du_'8852''45''8851''45'distributiveLattice_1970 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
du_'8852''45''8851''45'distributiveLattice_1970 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_DistributiveLattice_1228
du_'8852''45''8851''45'distributiveLattice_1970 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_DistributiveLattice_1228
du_'8852''45''8851''45'distributiveLattice_1970 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsDistributiveLattice_814
 -> T_DistributiveLattice_1228)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> T_DistributiveLattice_1228
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_814
-> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.C_DistributiveLattice'46'constructor_20939
      (T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130
         (T_MaxOperator_114 -> T_MaxOperator_114
forall a b. a -> b
coe T_MaxOperator_114
v2))
      (T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100
         (T_MinOperator_84 -> T_MinOperator_84
forall a b. a -> b
coe T_MinOperator_84
v1))
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> T_MaxOperator_114
 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsDistributiveLattice_814
du_'8852''45''8851''45'isDistributiveLattice_1964 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊓-⊔-distributiveLattice
d_'8851''45''8852''45'distributiveLattice_1972 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_DistributiveLattice_1228
d_'8851''45''8852''45'distributiveLattice_1972 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_DistributiveLattice_1228
d_'8851''45''8852''45'distributiveLattice_1972 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
  = T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_DistributiveLattice_1228
du_'8851''45''8852''45'distributiveLattice_1972 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
du_'8851''45''8852''45'distributiveLattice_1972 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  MAlonzo.Code.Algebra.Bundles.T_DistributiveLattice_1228
du_'8851''45''8852''45'distributiveLattice_1972 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_DistributiveLattice_1228
du_'8851''45''8852''45'distributiveLattice_1972 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsDistributiveLattice_814
 -> T_DistributiveLattice_1228)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> T_DistributiveLattice_1228
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_814
-> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.C_DistributiveLattice'46'constructor_20939
      (T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100
         (T_MinOperator_84 -> T_MinOperator_84
forall a b. a -> b
coe T_MinOperator_84
v1))
      (T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130
         (T_MaxOperator_114 -> T_MaxOperator_114
forall a b. a -> b
coe T_MaxOperator_114
v2))
      ((T_TotalPreorder_204
 -> T_MinOperator_84
 -> T_MaxOperator_114
 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsDistributiveLattice_814
du_'8851''45''8852''45'isDistributiveLattice_1962 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1)
         (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp._≥_
d__'8805'__1974 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> ()
d__'8805'__1974 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> ()
d__'8805'__1974 = T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinMaxOp.antimono-≤-distrib-⊓
d_antimono'45''8804''45'distrib'45''8851'_1982 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
d_antimono'45''8804''45'distrib'45''8851'_1982 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_antimono'45''8804''45'distrib'45''8851'_1982 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
                                               AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
  = T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_antimono'45''8804''45'distrib'45''8851'_1982
      T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5 AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
du_antimono'45''8804''45'distrib'45''8851'_1982 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
du_antimono'45''8804''45'distrib'45''8851'_1982 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_antimono'45''8804''45'distrib'45''8851'_1982 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2 AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5
                                                AgdaAny
v6 AgdaAny
v7
  = let v8 :: t
v8
          = (T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> t
forall a b. a -> b
coe
              T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_128
              (T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                 (T_TotalPreorder_204 -> T_TotalPreorder_204
forall a b. a -> b
coe T_TotalPreorder_204
v0))
              AgdaAny
v6 AgdaAny
v7 in
    AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
forall a. a
v8 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v9
           -> (T__IsRelatedTo__56 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T__IsRelatedTo__56 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_begin'45'equality__124
                ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776'_156
                   ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                      ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      AgdaAny -> AgdaAny
v3
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v6 AgdaAny
v7))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6)
                   ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                      ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7))
                   ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776''728'_176
                      ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                         ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                      ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6)
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7))
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7))
                      ((T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du__'8718'_234
                         ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                            ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                               (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                         ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                            ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7)))
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_142
                         T_MaxOperator_114
v2 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v9)))
                   ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v6 AgdaAny
v7)
                      AgdaAny
v6
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_106
                         T_MinOperator_84
v1 AgdaAny
v6 AgdaAny
v7 AgdaAny
v9)))
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v9
           -> (T__IsRelatedTo__56 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T__IsRelatedTo__56 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_begin'45'equality__124
                ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776'_156
                   ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                      ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      AgdaAny -> AgdaAny
v3
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v6 AgdaAny
v7))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7)
                   ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                      ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7))
                   ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776''728'_176
                      ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                         ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                      ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7)
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7))
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7))
                      ((T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du__'8718'_234
                         ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                            ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                               (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                         ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                            ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7)))
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8852'y'8776'y_136
                         T_MaxOperator_114
v2 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v7 AgdaAny
v6 AgdaAny
v9)))
                   ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         AgdaAny
v6 AgdaAny
v7)
                      AgdaAny
v7
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_112
                         T_MinOperator_84
v1 AgdaAny
v6 AgdaAny
v7 AgdaAny
v9)))
         T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
-- Algebra.Construct.NaturalChoice.MinMaxOp.antimono-≤-distrib-⊔
d_antimono'45''8804''45'distrib'45''8852'_2028 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
d_antimono'45''8804''45'distrib'45''8852'_2028 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_antimono'45''8804''45'distrib'45''8852'_2028 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5
                                               AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
  = T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_antimono'45''8804''45'distrib'45''8852'_2028
      T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5 AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
du_antimono'45''8804''45'distrib'45''8852'_2028 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
du_antimono'45''8804''45'distrib'45''8852'_2028 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_antimono'45''8804''45'distrib'45''8852'_2028 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2 AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5
                                                AgdaAny
v6 AgdaAny
v7
  = let v8 :: t
v8
          = (T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> t
forall a b. a -> b
coe
              T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_128
              (T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                 (T_TotalPreorder_204 -> T_TotalPreorder_204
forall a b. a -> b
coe T_TotalPreorder_204
v0))
              AgdaAny
v6 AgdaAny
v7 in
    AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
forall a. a
v8 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v9
           -> (T__IsRelatedTo__56 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T__IsRelatedTo__56 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_begin'45'equality__124
                ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776'_156
                   ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                      ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      AgdaAny -> AgdaAny
v3
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v6 AgdaAny
v7))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7)
                   ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                      ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7))
                   ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776''728'_176
                      ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                         ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                      ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7)
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7))
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7))
                      ((T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du__'8718'_234
                         ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                            ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                               (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                         ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                            ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7)))
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_112
                         T_MinOperator_84
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v9)))
                   ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v6 AgdaAny
v7)
                      AgdaAny
v7
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8852'y'8776'y_136
                         T_MaxOperator_114
v2 AgdaAny
v6 AgdaAny
v7 AgdaAny
v9)))
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v9
           -> (T__IsRelatedTo__56 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T__IsRelatedTo__56 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_begin'45'equality__124
                ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776'_156
                   ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                      ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                         (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      AgdaAny -> AgdaAny
v3
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v6 AgdaAny
v7))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6)
                   ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                      ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7))
                   ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8776''728'_176
                      ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                         ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                      ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6)
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7))
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                         ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7))
                      ((T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du__'8718'_234
                         ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                            ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                               (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
                         ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
                            ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7)))
                      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_106
                         T_MinOperator_84
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v7 AgdaAny
v6 AgdaAny
v9)))
                   ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                         AgdaAny
v6 AgdaAny
v7)
                      AgdaAny
v6
                      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_142
                         T_MaxOperator_114
v2 AgdaAny
v6 AgdaAny
v7 AgdaAny
v9)))
         T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
-- Algebra.Construct.NaturalChoice.MinMaxOp.x⊓y≤x⊔y
d_x'8851'y'8804'x'8852'y_2072 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8804'x'8852'y_2072 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8804'x'8852'y_2072 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny
v7
  = T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8851'y'8804'x'8852'y_2072 T_TotalPreorder_204
v3 T_MinOperator_84
v4 T_MaxOperator_114
v5 AgdaAny
v6 AgdaAny
v7
du_x'8851'y'8804'x'8852'y_2072 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x'8852'y_2072 :: T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8851'y'8804'x'8852'y_2072 T_TotalPreorder_204
v0 T_MinOperator_84
v1 T_MaxOperator_114
v2 AgdaAny
v3 AgdaAny
v4
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> T__IsRelatedTo__56 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> T__IsRelatedTo__56 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_begin__110
      ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
         ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
      ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
         AgdaAny
v3 AgdaAny
v4)
      ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
         AgdaAny
v3 AgdaAny
v4)
      ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8764'_136
         ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
            ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
               (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
         ((T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__100 T_MinOperator_84
v1
            AgdaAny
v3 AgdaAny
v4)
         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
         ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
            AgdaAny
v3 AgdaAny
v4)
         ((T_IsPreorder_70
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__56
 -> AgdaAny
 -> T__IsRelatedTo__56)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__56
-> AgdaAny
-> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_step'45''8764'_136
            ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
               ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                  (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
            (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
            ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
               AgdaAny
v3 AgdaAny
v4)
            ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
               AgdaAny
v3 AgdaAny
v4)
            ((T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_70 -> AgdaAny -> T__IsRelatedTo__56
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du__'8718'_234
               ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
                  ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_TotalPreorder_204 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_226
                     (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
               ((T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_MaxOperator_114 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__130 T_MaxOperator_114
v2
                  AgdaAny
v3 AgdaAny
v4))
            ((T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'x_1626
               ((T_TotalPreorder_204 -> T_TotalPreorder_204) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
                  (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
               ((T_MaxOperator_114 -> T_MinOperator_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
                  (T_MaxOperator_114 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_114
v2))
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)))
         ((T_TotalPreorder_204
 -> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_TotalPreorder_204
-> T_MinOperator_84 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'x_1626
            (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_84
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)))