{-# 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.Bundles.Raw
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.Flip.EqAndOrd
import qualified MAlonzo.Code.Relation.Binary.Reasoning.Base.Double
import qualified MAlonzo.Code.Relation.Binary.Reasoning.Syntax
import qualified MAlonzo.Code.Relation.Binary.Structures

-- Algebra.Construct.NaturalChoice.MinMaxOp._._≈_
d__'8776'__24 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> ()
d__'8776'__24 :: T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> ()
d__'8776'__24 = T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinMaxOp._._≲_
d__'8818'__28 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> ()
d__'8818'__28 :: T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> ()
d__'8818'__28 = T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinMaxOp._._⊓_
d__'8851'__98 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
d__'8851'__98 :: T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
d__'8851'__98 ~T_TotalPreorder_240
v0 T_MinOperator_106
v1 ~T_MaxOperator_138
v2 = T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du__'8851'__98 T_MinOperator_106
v1
du__'8851'__98 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny
du__'8851'__98 :: T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du__'8851'__98 T_MinOperator_106
v0
  = (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
      (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v0)
-- Algebra.Construct.NaturalChoice.MinMaxOp._._Absorbs_
d__Absorbs__114 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d__Absorbs__114 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d__Absorbs__114 = ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinMaxOp._._DistributesOver_
d__DistributesOver__116 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d__DistributesOver__116 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d__DistributesOver__116 = ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinMaxOp._._DistributesOverʳ_
d__DistributesOver'691'__118 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d__DistributesOver'691'__118 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d__DistributesOver'691'__118 = ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinMaxOp._._DistributesOverˡ_
d__DistributesOver'737'__120 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d__DistributesOver'737'__120 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d__DistributesOver'737'__120 = ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinMaxOp._.Absorptive
d_Absorptive_126 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Absorptive_126 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Absorptive_126 = ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinMaxOp._.mono-≤-distrib-⊓
d_mono'45''8804''45'distrib'45''8851'_3070 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
d_mono'45''8804''45'distrib'45''8851'_3070 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_mono'45''8804''45'distrib'45''8851'_3070 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_mono'45''8804''45'distrib'45''8851'_3070 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_mono'45''8804''45'distrib'45''8851'_3070 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
du_mono'45''8804''45'distrib'45''8851'_3070 :: T_TotalPreorder_240
-> T_MinOperator_106
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_mono'45''8804''45'distrib'45''8851'_3070 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> (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_240
-> T_MinOperator_106
-> (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'_3230
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x≤y⇒x⊓z≤y
d_x'8804'y'8658'x'8851'z'8804'y_3072 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8658'x'8851'z'8804'y_3072 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8658'x'8851'z'8804'y_3072 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'x'8851'z'8804'y_3072 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_x'8804'y'8658'x'8851'z'8804'y_3072 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8658'x'8851'z'8804'y_3072 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'x'8851'z'8804'y_3072 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8658'x'8851'z'8804'y_3276
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x≤y⇒z⊓x≤y
d_x'8804'y'8658'z'8851'x'8804'y_3074 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8658'z'8851'x'8804'y_3074 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8658'z'8851'x'8804'y_3074 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'z'8851'x'8804'y_3074 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_x'8804'y'8658'z'8851'x'8804'y_3074 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8658'z'8851'x'8804'y_3074 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'z'8851'x'8804'y_3074 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8658'z'8851'x'8804'y_3288
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x≤y⊓z⇒x≤y
d_x'8804'y'8851'z'8658'x'8804'y_3076 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'y_3076 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'y_3076 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'y_3076 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_x'8804'y'8851'z'8658'x'8804'y_3076 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'y_3076 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'y_3076 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8851'z'8658'x'8804'y_3300
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x≤y⊓z⇒x≤z
d_x'8804'y'8851'z'8658'x'8804'z_3078 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'z_3078 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'z_3078 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'z_3078 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_x'8804'y'8851'z'8658'x'8804'z_3078 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'z_3078 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'z_3078 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8851'z'8658'x'8804'z_3314
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x⊓y≈x⇒x≤y
d_x'8851'y'8776'x'8658'x'8804'y_3080 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8776'x'8658'x'8804'y_3080 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8776'x'8658'x'8804'y_3080 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'x'8658'x'8804'y_3080 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_x'8851'y'8776'x'8658'x'8804'y_3080 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'x'8658'x'8804'y_3080 :: T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'x'8658'x'8804'y_3080 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8776'x'8658'x'8804'y_3184
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x⊓y≈y⇒y≤x
d_x'8851'y'8776'y'8658'y'8804'x_3082 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8776'y'8658'y'8804'x_3082 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8776'y'8658'y'8804'x_3082 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'y'8658'y'8804'x_3082 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_x'8851'y'8776'y'8658'y'8804'x_3082 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'y'8658'y'8804'x_3082 :: T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'y'8658'y'8804'x_3082 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8776'y'8658'y'8804'x_3216
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x⊓y≤x
d_x'8851'y'8804'x_3084 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8804'x_3084 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8804'x_3084 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_3084 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_x'8851'y'8804'x_3084 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_3084 :: T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_3084 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'x_2924
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x⊓y≤y
d_x'8851'y'8804'y_3086 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8804'y_3086 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8804'y_3086 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_3086 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_x'8851'y'8804'y_3086 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_3086 :: T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_3086 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'y_2950
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-assoc
d_'8851''45'assoc_3088 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'assoc_3088 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'assoc_3088 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'assoc_3088 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'assoc_3088 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'assoc_3088 :: T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'assoc_3088 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'assoc_3060
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-band
d_'8851''45'band_3090 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_Band_620
d_'8851''45'band_3090 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_Band_620
d_'8851''45'band_3090 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240 -> T_MinOperator_106 -> T_Band_620
du_'8851''45'band_3090 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'band_3090 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Bundles.T_Band_620
du_'8851''45'band_3090 :: T_TotalPreorder_240 -> T_MinOperator_106 -> T_Band_620
du_'8851''45'band_3090 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240 -> T_MinOperator_106 -> T_Band_620)
-> AgdaAny -> AgdaAny -> T_Band_620
forall a b. a -> b
coe
      T_TotalPreorder_240 -> T_MinOperator_106 -> T_Band_620
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'band_3168
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-comm
d_'8851''45'comm_3092 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'comm_3092 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'comm_3092 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_3092 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'comm_3092 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_3092 :: T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_3092 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'comm_2972
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-commutativeSemigroup
d_'8851''45'commutativeSemigroup_3094 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeSemigroup_688
d_'8851''45'commutativeSemigroup_3094 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_CommutativeSemigroup_688
d_'8851''45'commutativeSemigroup_3094 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106 -> T_CommutativeSemigroup_688
du_'8851''45'commutativeSemigroup_3094 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'commutativeSemigroup_3094 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeSemigroup_688
du_'8851''45'commutativeSemigroup_3094 :: T_TotalPreorder_240
-> T_MinOperator_106 -> T_CommutativeSemigroup_688
du_'8851''45'commutativeSemigroup_3094 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> T_CommutativeSemigroup_688)
-> AgdaAny -> AgdaAny -> T_CommutativeSemigroup_688
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> T_CommutativeSemigroup_688
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'commutativeSemigroup_3170
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-cong
d_'8851''45'cong_3096 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'cong_3096 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'cong_3096 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong_3096 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'cong_3096 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'cong_3096 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong_3096 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong_3046
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-congʳ
d_'8851''45'cong'691'_3098 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'cong'691'_3098 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'cong'691'_3098 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'691'_3098 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'cong'691'_3098 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'cong'691'_3098 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'691'_3098 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'691'_3036
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-congˡ
d_'8851''45'cong'737'_3100 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'cong'737'_3100 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'cong'737'_3100 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'737'_3100 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'cong'737'_3100 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'cong'737'_3100 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'737'_3100 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_2998
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-glb
d_'8851''45'glb_3102 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'glb_3102 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'glb_3102 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'glb_3102 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'glb_3102 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'glb_3102 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'glb_3102 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'glb_3394
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-idem
d_'8851''45'idem_3104 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny
d_'8851''45'idem_3104 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
d_'8851''45'idem_3104 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240 -> T_MinOperator_106 -> AgdaAny -> AgdaAny
du_'8851''45'idem_3104 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'idem_3104 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny
du_'8851''45'idem_3104 :: T_TotalPreorder_240 -> T_MinOperator_106 -> AgdaAny -> AgdaAny
du_'8851''45'idem_3104 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240 -> T_MinOperator_106 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240 -> T_MinOperator_106 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'idem_3100
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-identity
d_'8851''45'identity_3106 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8851''45'identity_3106 :: T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Σ_14
d_'8851''45'identity_3106 ~T_TotalPreorder_240
v0 T_MinOperator_106
v1 ~T_MaxOperator_138
v2 AgdaAny
v3 AgdaAny -> AgdaAny
v4
  = T_MinOperator_106 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'identity_3106 T_MinOperator_106
v1 AgdaAny
v3 AgdaAny -> AgdaAny
v4
du_'8851''45'identity_3106 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8851''45'identity_3106 :: T_MinOperator_106 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'identity_3106 T_MinOperator_106
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_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
              T_MinOperator_106
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_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
              T_MinOperator_106
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'_3108 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'identity'691'_3108 :: T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'identity'691'_3108 ~T_TotalPreorder_240
v0 T_MinOperator_106
v1 ~T_MaxOperator_138
v2 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = T_MinOperator_106
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'691'_3108 T_MinOperator_106
v1 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
du_'8851''45'identity'691'_3108 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'691'_3108 :: T_MinOperator_106
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'691'_3108 T_MinOperator_106
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
      T_MinOperator_106
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'_3110 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'identity'737'_3110 :: T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'identity'737'_3110 ~T_TotalPreorder_240
v0 T_MinOperator_106
v1 ~T_MaxOperator_138
v2 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = T_MinOperator_106
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'737'_3110 T_MinOperator_106
v1 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
du_'8851''45'identity'737'_3110 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'737'_3110 :: T_MinOperator_106
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'737'_3110 T_MinOperator_106
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
      T_MinOperator_106
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_3112 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsBand_526
d_'8851''45'isBand_3112 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_IsBand_526
d_'8851''45'isBand_3112 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsBand_526
du_'8851''45'isBand_3112 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'isBand_3112 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Structures.T_IsBand_526
du_'8851''45'isBand_3112 :: T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsBand_526
du_'8851''45'isBand_3112 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsBand_526)
-> AgdaAny -> AgdaAny -> T_IsBand_526
forall a b. a -> b
coe
      T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsBand_526
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isBand_3150
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isCommutativeSemigroup
d_'8851''45'isCommutativeSemigroup_3114 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_568
d_'8851''45'isCommutativeSemigroup_3114 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_IsCommutativeSemigroup_568
d_'8851''45'isCommutativeSemigroup_3114 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106 -> T_IsCommutativeSemigroup_568
du_'8851''45'isCommutativeSemigroup_3114 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'isCommutativeSemigroup_3114 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_568
du_'8851''45'isCommutativeSemigroup_3114 :: T_TotalPreorder_240
-> T_MinOperator_106 -> T_IsCommutativeSemigroup_568
du_'8851''45'isCommutativeSemigroup_3114 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> T_IsCommutativeSemigroup_568)
-> AgdaAny -> AgdaAny -> T_IsCommutativeSemigroup_568
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> T_IsCommutativeSemigroup_568
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isCommutativeSemigroup_3152
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isMagma
d_'8851''45'isMagma_3116 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_178
d_'8851''45'isMagma_3116 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_IsMagma_178
d_'8851''45'isMagma_3116 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsMagma_178
du_'8851''45'isMagma_3116 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'isMagma_3116 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_178
du_'8851''45'isMagma_3116 :: T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsMagma_178
du_'8851''45'isMagma_3116 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsMagma_178)
-> AgdaAny -> AgdaAny -> T_IsMagma_178
forall a b. a -> b
coe
      T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsMagma_178
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isMagma_3146
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isMonoid
d_'8851''45'isMonoid_3118 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_712
d_'8851''45'isMonoid_3118 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_712
d_'8851''45'isMonoid_3118 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_712
du_'8851''45'isMonoid_3118 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'isMonoid_3118 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_712
du_'8851''45'isMonoid_3118 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_712
du_'8851''45'isMonoid_3118 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> (AgdaAny -> AgdaAny)
 -> T_IsMonoid_712)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_712
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_712
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isMonoid_3158
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isSelectiveMagma
d_'8851''45'isSelectiveMagma_3120 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsSelectiveMagma_450
d_'8851''45'isSelectiveMagma_3120 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_IsSelectiveMagma_450
d_'8851''45'isSelectiveMagma_3120 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSelectiveMagma_450
du_'8851''45'isSelectiveMagma_3120 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'isSelectiveMagma_3120 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Structures.T_IsSelectiveMagma_450
du_'8851''45'isSelectiveMagma_3120 :: T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSelectiveMagma_450
du_'8851''45'isSelectiveMagma_3120 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> T_IsSelectiveMagma_450)
-> AgdaAny -> AgdaAny -> T_IsSelectiveMagma_450
forall a b. a -> b
coe
      T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSelectiveMagma_450
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isSelectiveMagma_3154
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isSemigroup
d_'8851''45'isSemigroup_3122 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_488
d_'8851''45'isSemigroup_3122 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_IsSemigroup_488
d_'8851''45'isSemigroup_3122 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSemigroup_488
du_'8851''45'isSemigroup_3122 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'isSemigroup_3122 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_488
du_'8851''45'isSemigroup_3122 :: T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSemigroup_488
du_'8851''45'isSemigroup_3122 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSemigroup_488)
-> AgdaAny -> AgdaAny -> T_IsSemigroup_488
forall a b. a -> b
coe
      T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSemigroup_488
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isSemigroup_3148
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-magma
d_'8851''45'magma_3124 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_Magma_74
d_'8851''45'magma_3124 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_Magma_74
d_'8851''45'magma_3124 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240 -> T_MinOperator_106 -> T_Magma_74
du_'8851''45'magma_3124 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'magma_3124 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Bundles.T_Magma_74
du_'8851''45'magma_3124 :: T_TotalPreorder_240 -> T_MinOperator_106 -> T_Magma_74
du_'8851''45'magma_3124 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240 -> T_MinOperator_106 -> T_Magma_74)
-> AgdaAny -> AgdaAny -> T_Magma_74
forall a b. a -> b
coe
      T_TotalPreorder_240 -> T_MinOperator_106 -> T_Magma_74
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'magma_3164
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-mono-≤
d_'8851''45'mono'45''8804'_3126 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'mono'45''8804'_3126 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'mono'45''8804'_3126 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'45''8804'_3126 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'mono'45''8804'_3126 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'mono'45''8804'_3126 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'45''8804'_3126 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'45''8804'_3322
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-monoid
d_'8851''45'monoid_3128 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Algebra.Bundles.T_Monoid_914
d_'8851''45'monoid_3128 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_914
d_'8851''45'monoid_3128 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_914
du_'8851''45'monoid_3128 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'monoid_3128 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Algebra.Bundles.T_Monoid_914
du_'8851''45'monoid_3128 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_914
du_'8851''45'monoid_3128 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> (AgdaAny -> AgdaAny)
 -> T_Monoid_914)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_914
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_914
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'monoid_3176
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-monoʳ-≤
d_'8851''45'mono'691''45''8804'_3130 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'mono'691''45''8804'_3130 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'mono'691''45''8804'_3130 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'691''45''8804'_3130 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'mono'691''45''8804'_3130 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'mono'691''45''8804'_3130 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'691''45''8804'_3130 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'691''45''8804'_3382
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-monoˡ-≤
d_'8851''45'mono'737''45''8804'_3132 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'mono'737''45''8804'_3132 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'mono'737''45''8804'_3132 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'737''45''8804'_3132 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'mono'737''45''8804'_3132 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'mono'737''45''8804'_3132 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'737''45''8804'_3132 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'737''45''8804'_3372
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-rawMagma
d_'8851''45'rawMagma_3134 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.Raw.T_RawMagma_44
d_'8851''45'rawMagma_3134 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_RawMagma_44
d_'8851''45'rawMagma_3134 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_MinOperator_106 -> T_RawMagma_44
du_'8851''45'rawMagma_3134 T_MinOperator_106
v4
du_'8851''45'rawMagma_3134 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Bundles.Raw.T_RawMagma_44
du_'8851''45'rawMagma_3134 :: T_MinOperator_106 -> T_RawMagma_44
du_'8851''45'rawMagma_3134 T_MinOperator_106
v0
  = (T_MinOperator_106 -> T_RawMagma_44) -> AgdaAny -> T_RawMagma_44
forall a b. a -> b
coe
      T_MinOperator_106 -> T_RawMagma_44
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'rawMagma_3162
      (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v0)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-sel
d_'8851''45'sel_3136 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_'8851''45'sel_3136 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> T__'8846'__30
d_'8851''45'sel_3136 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> T__'8846'__30
du_'8851''45'sel_3136 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'sel_3136 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
du_'8851''45'sel_3136 :: T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> T__'8846'__30
du_'8851''45'sel_3136 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'sel_3104
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-selectiveMagma
d_'8851''45'selectiveMagma_3138 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_SelectiveMagma_130
d_'8851''45'selectiveMagma_3138 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_SelectiveMagma_130
d_'8851''45'selectiveMagma_3138 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240 -> T_MinOperator_106 -> T_SelectiveMagma_130
du_'8851''45'selectiveMagma_3138 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'selectiveMagma_3138 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Bundles.T_SelectiveMagma_130
du_'8851''45'selectiveMagma_3138 :: T_TotalPreorder_240 -> T_MinOperator_106 -> T_SelectiveMagma_130
du_'8851''45'selectiveMagma_3138 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240 -> T_MinOperator_106 -> T_SelectiveMagma_130)
-> AgdaAny -> AgdaAny -> T_SelectiveMagma_130
forall a b. a -> b
coe
      T_TotalPreorder_240 -> T_MinOperator_106 -> T_SelectiveMagma_130
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'selectiveMagma_3172
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-semigroup
d_'8851''45'semigroup_3140 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_Semigroup_558
d_'8851''45'semigroup_3140 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_Semigroup_558
d_'8851''45'semigroup_3140 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240 -> T_MinOperator_106 -> T_Semigroup_558
du_'8851''45'semigroup_3140 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'semigroup_3140 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Bundles.T_Semigroup_558
du_'8851''45'semigroup_3140 :: T_TotalPreorder_240 -> T_MinOperator_106 -> T_Semigroup_558
du_'8851''45'semigroup_3140 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240 -> T_MinOperator_106 -> T_Semigroup_558)
-> AgdaAny -> AgdaAny -> T_Semigroup_558
forall a b. a -> b
coe
      T_TotalPreorder_240 -> T_MinOperator_106 -> T_Semigroup_558
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'semigroup_3166
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-triangulate
d_'8851''45'triangulate_3142 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'triangulate_3142 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'triangulate_3142 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 ~T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'triangulate_3142 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'triangulate_3142 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'triangulate_3142 :: T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'triangulate_3142 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'triangulate_3408
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-zero
d_'8851''45'zero_3144 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8851''45'zero_3144 :: T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Σ_14
d_'8851''45'zero_3144 ~T_TotalPreorder_240
v0 T_MinOperator_106
v1 ~T_MaxOperator_138
v2 AgdaAny
v3 AgdaAny -> AgdaAny
v4
  = T_MinOperator_106 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'zero_3144 T_MinOperator_106
v1 AgdaAny
v3 AgdaAny -> AgdaAny
v4
du_'8851''45'zero_3144 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8851''45'zero_3144 :: T_MinOperator_106 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'zero_3144 T_MinOperator_106
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_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
              T_MinOperator_106
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_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
              T_MinOperator_106
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'_3146 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'zero'691'_3146 :: T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'zero'691'_3146 ~T_TotalPreorder_240
v0 T_MinOperator_106
v1 ~T_MaxOperator_138
v2 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = T_MinOperator_106
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'691'_3146 T_MinOperator_106
v1 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
du_'8851''45'zero'691'_3146 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'691'_3146 :: T_MinOperator_106
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'691'_3146 T_MinOperator_106
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
      T_MinOperator_106
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'_3148 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'zero'737'_3148 :: T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'zero'737'_3148 ~T_TotalPreorder_240
v0 T_MinOperator_106
v1 ~T_MaxOperator_138
v2 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = T_MinOperator_106
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'737'_3148 T_MinOperator_106
v1 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
du_'8851''45'zero'737'_3148 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'737'_3148 :: T_MinOperator_106
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'737'_3148 T_MinOperator_106
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
      T_MinOperator_106
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'_3152 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
d_mono'45''8804''45'distrib'45''8852'_3152 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_mono'45''8804''45'distrib'45''8852'_3152 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_mono'45''8804''45'distrib'45''8852'_3152 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_mono'45''8804''45'distrib'45''8852'_3152 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
du_mono'45''8804''45'distrib'45''8852'_3152 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_mono'45''8804''45'distrib'45''8852'_3152 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MaxOperator_138
 -> (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_240
-> T_MaxOperator_138
-> (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'_190
      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1)
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x⊓y≤x
d_x'8851'y'8804'x_3154 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8804'x_3154 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8804'x_3154 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_3154 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_x'8851'y'8804'x_3154 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_3154 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_3154 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'x_2924
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x≤y⇒x⊓z≤y
d_x'8804'y'8658'x'8851'z'8804'y_3156 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8658'x'8851'z'8804'y_3156 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8658'x'8851'z'8804'y_3156 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'x'8851'z'8804'y_3156 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_x'8804'y'8658'x'8851'z'8804'y_3156 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8658'x'8851'z'8804'y_3156 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'x'8851'z'8804'y_3156 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8658'x'8851'z'8804'y_3276
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x≤y⇒z⊓x≤y
d_x'8804'y'8658'z'8851'x'8804'y_3158 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8658'z'8851'x'8804'y_3158 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8658'z'8851'x'8804'y_3158 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'z'8851'x'8804'y_3158 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_x'8804'y'8658'z'8851'x'8804'y_3158 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8658'z'8851'x'8804'y_3158 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'z'8851'x'8804'y_3158 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8658'z'8851'x'8804'y_3288
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x⊓y≤y
d_x'8851'y'8804'y_3160 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8804'y_3160 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8804'y_3160 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_3160 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_x'8851'y'8804'y_3160 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_3160 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_3160 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'y_2950
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x⊓y≈x⇒x≤y
d_x'8851'y'8776'x'8658'x'8804'y_3162 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8776'x'8658'x'8804'y_3162 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8776'x'8658'x'8804'y_3162 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'x'8658'x'8804'y_3162 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_x'8851'y'8776'x'8658'x'8804'y_3162 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'x'8658'x'8804'y_3162 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'x'8658'x'8804'y_3162 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8776'x'8658'x'8804'y_3184
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x⊓y≈y⇒y≤x
d_x'8851'y'8776'y'8658'y'8804'x_3164 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8776'y'8658'y'8804'x_3164 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8776'y'8658'y'8804'x_3164 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'y'8658'y'8804'x_3164 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_x'8851'y'8776'y'8658'y'8804'x_3164 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'y'8658'y'8804'x_3164 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'y'8658'y'8804'x_3164 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8776'y'8658'y'8804'x_3216
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x≤y⊓z⇒x≤y
d_x'8804'y'8851'z'8658'x'8804'y_3166 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'y_3166 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'y_3166 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'y_3166 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_x'8804'y'8851'z'8658'x'8804'y_3166 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'y_3166 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'y_3166 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8851'z'8658'x'8804'y_3300
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.x≤y⊓z⇒x≤z
d_x'8804'y'8851'z'8658'x'8804'z_3168 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'z_3168 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'z_3168 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'z_3168 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_x'8804'y'8851'z'8658'x'8804'z_3168 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'z_3168 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'z_3168 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8851'z'8658'x'8804'z_3314
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-assoc
d_'8851''45'assoc_3170 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'assoc_3170 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'assoc_3170 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'assoc_3170 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'assoc_3170 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'assoc_3170 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'assoc_3170 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'assoc_3060
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-band
d_'8851''45'band_3172 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_Band_620
d_'8851''45'band_3172 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_Band_620
d_'8851''45'band_3172 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240 -> T_MaxOperator_138 -> T_Band_620
du_'8851''45'band_3172 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'band_3172 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_Band_620
du_'8851''45'band_3172 :: T_TotalPreorder_240 -> T_MaxOperator_138 -> T_Band_620
du_'8851''45'band_3172 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240 -> T_MinOperator_106 -> T_Band_620)
-> AgdaAny -> AgdaAny -> T_Band_620
forall a b. a -> b
coe
      T_TotalPreorder_240 -> T_MinOperator_106 -> T_Band_620
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'band_3168
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-comm
d_'8851''45'comm_3174 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'comm_3174 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'comm_3174 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_3174 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'comm_3174 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_3174 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_3174 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'comm_2972
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-commutativeSemigroup
d_'8851''45'commutativeSemigroup_3176 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeSemigroup_688
d_'8851''45'commutativeSemigroup_3176 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_CommutativeSemigroup_688
d_'8851''45'commutativeSemigroup_3176 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138 -> T_CommutativeSemigroup_688
du_'8851''45'commutativeSemigroup_3176 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'commutativeSemigroup_3176 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeSemigroup_688
du_'8851''45'commutativeSemigroup_3176 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> T_CommutativeSemigroup_688
du_'8851''45'commutativeSemigroup_3176 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> T_CommutativeSemigroup_688)
-> AgdaAny -> AgdaAny -> T_CommutativeSemigroup_688
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> T_CommutativeSemigroup_688
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'commutativeSemigroup_3170
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-cong
d_'8851''45'cong_3178 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'cong_3178 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'cong_3178 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong_3178 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'cong_3178 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'cong_3178 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong_3178 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong_3046
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-congʳ
d_'8851''45'cong'691'_3180 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'cong'691'_3180 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'cong'691'_3180 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'691'_3180 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'cong'691'_3180 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'cong'691'_3180 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'691'_3180 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'691'_3036
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-congˡ
d_'8851''45'cong'737'_3182 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'cong'737'_3182 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'cong'737'_3182 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'737'_3182 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'cong'737'_3182 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'cong'737'_3182 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'737'_3182 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_2998
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-idem
d_'8851''45'idem_3184 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny
d_'8851''45'idem_3184 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
d_'8851''45'idem_3184 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240 -> T_MaxOperator_138 -> AgdaAny -> AgdaAny
du_'8851''45'idem_3184 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'idem_3184 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny
du_'8851''45'idem_3184 :: T_TotalPreorder_240 -> T_MaxOperator_138 -> AgdaAny -> AgdaAny
du_'8851''45'idem_3184 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240 -> T_MinOperator_106 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240 -> T_MinOperator_106 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'idem_3100
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-identity
d_'8851''45'identity_3186 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8851''45'identity_3186 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Σ_14
d_'8851''45'identity_3186 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7
  = T_MaxOperator_138 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'identity_3186 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7
du_'8851''45'identity_3186 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8851''45'identity_3186 :: T_MaxOperator_138 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'identity_3186 T_MaxOperator_138
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_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8852'y'8776'y_160
              T_MaxOperator_138
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_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_166
              T_MaxOperator_138
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'_3188 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'identity'691'_3188 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'identity'691'_3188 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
  = T_MaxOperator_138
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'691'_3188 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
du_'8851''45'identity'691'_3188 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'691'_3188 :: T_MaxOperator_138
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'691'_3188 T_MaxOperator_138
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_166
      T_MaxOperator_138
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'_3190 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'identity'737'_3190 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'identity'737'_3190 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
  = T_MaxOperator_138
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'737'_3190 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
du_'8851''45'identity'737'_3190 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'737'_3190 :: T_MaxOperator_138
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'737'_3190 T_MaxOperator_138
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8852'y'8776'y_160
      T_MaxOperator_138
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_3192 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsBand_526
d_'8851''45'isBand_3192 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_IsBand_526
d_'8851''45'isBand_3192 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240 -> T_MaxOperator_138 -> T_IsBand_526
du_'8851''45'isBand_3192 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'isBand_3192 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsBand_526
du_'8851''45'isBand_3192 :: T_TotalPreorder_240 -> T_MaxOperator_138 -> T_IsBand_526
du_'8851''45'isBand_3192 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsBand_526)
-> AgdaAny -> AgdaAny -> T_IsBand_526
forall a b. a -> b
coe
      T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsBand_526
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isBand_3150
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isCommutativeSemigroup
d_'8851''45'isCommutativeSemigroup_3194 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_568
d_'8851''45'isCommutativeSemigroup_3194 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_IsCommutativeSemigroup_568
d_'8851''45'isCommutativeSemigroup_3194 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138 -> T_IsCommutativeSemigroup_568
du_'8851''45'isCommutativeSemigroup_3194 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'isCommutativeSemigroup_3194 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_568
du_'8851''45'isCommutativeSemigroup_3194 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> T_IsCommutativeSemigroup_568
du_'8851''45'isCommutativeSemigroup_3194 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> T_IsCommutativeSemigroup_568)
-> AgdaAny -> AgdaAny -> T_IsCommutativeSemigroup_568
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> T_IsCommutativeSemigroup_568
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isCommutativeSemigroup_3152
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isMagma
d_'8851''45'isMagma_3196 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_178
d_'8851''45'isMagma_3196 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_IsMagma_178
d_'8851''45'isMagma_3196 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240 -> T_MaxOperator_138 -> T_IsMagma_178
du_'8851''45'isMagma_3196 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'isMagma_3196 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_178
du_'8851''45'isMagma_3196 :: T_TotalPreorder_240 -> T_MaxOperator_138 -> T_IsMagma_178
du_'8851''45'isMagma_3196 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsMagma_178)
-> AgdaAny -> AgdaAny -> T_IsMagma_178
forall a b. a -> b
coe
      T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsMagma_178
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isMagma_3146
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isMonoid
d_'8851''45'isMonoid_3198 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_712
d_'8851''45'isMonoid_3198 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_712
d_'8851''45'isMonoid_3198 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_712
du_'8851''45'isMonoid_3198 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'isMonoid_3198 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_712
du_'8851''45'isMonoid_3198 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_712
du_'8851''45'isMonoid_3198 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> (AgdaAny -> AgdaAny)
 -> T_IsMonoid_712)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_712
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_712
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isMonoid_3158
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isSelectiveMagma
d_'8851''45'isSelectiveMagma_3200 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsSelectiveMagma_450
d_'8851''45'isSelectiveMagma_3200 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_IsSelectiveMagma_450
d_'8851''45'isSelectiveMagma_3200 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240 -> T_MaxOperator_138 -> T_IsSelectiveMagma_450
du_'8851''45'isSelectiveMagma_3200 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'isSelectiveMagma_3200 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsSelectiveMagma_450
du_'8851''45'isSelectiveMagma_3200 :: T_TotalPreorder_240 -> T_MaxOperator_138 -> T_IsSelectiveMagma_450
du_'8851''45'isSelectiveMagma_3200 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> T_IsSelectiveMagma_450)
-> AgdaAny -> AgdaAny -> T_IsSelectiveMagma_450
forall a b. a -> b
coe
      T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSelectiveMagma_450
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isSelectiveMagma_3154
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-isSemigroup
d_'8851''45'isSemigroup_3202 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_488
d_'8851''45'isSemigroup_3202 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_IsSemigroup_488
d_'8851''45'isSemigroup_3202 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240 -> T_MaxOperator_138 -> T_IsSemigroup_488
du_'8851''45'isSemigroup_3202 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'isSemigroup_3202 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_488
du_'8851''45'isSemigroup_3202 :: T_TotalPreorder_240 -> T_MaxOperator_138 -> T_IsSemigroup_488
du_'8851''45'isSemigroup_3202 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSemigroup_488)
-> AgdaAny -> AgdaAny -> T_IsSemigroup_488
forall a b. a -> b
coe
      T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSemigroup_488
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isSemigroup_3148
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-glb
d_'8851''45'glb_3204 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'glb_3204 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'glb_3204 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'glb_3204 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'glb_3204 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'glb_3204 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'glb_3204 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'glb_3394
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-magma
d_'8851''45'magma_3206 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_Magma_74
d_'8851''45'magma_3206 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_Magma_74
d_'8851''45'magma_3206 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240 -> T_MaxOperator_138 -> T_Magma_74
du_'8851''45'magma_3206 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'magma_3206 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_Magma_74
du_'8851''45'magma_3206 :: T_TotalPreorder_240 -> T_MaxOperator_138 -> T_Magma_74
du_'8851''45'magma_3206 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240 -> T_MinOperator_106 -> T_Magma_74)
-> AgdaAny -> AgdaAny -> T_Magma_74
forall a b. a -> b
coe
      T_TotalPreorder_240 -> T_MinOperator_106 -> T_Magma_74
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'magma_3164
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-mono-≤
d_'8851''45'mono'45''8804'_3208 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'mono'45''8804'_3208 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'mono'45''8804'_3208 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'45''8804'_3208 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'mono'45''8804'_3208 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'mono'45''8804'_3208 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'45''8804'_3208 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'45''8804'_3322
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-monoid
d_'8851''45'monoid_3210 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Algebra.Bundles.T_Monoid_914
d_'8851''45'monoid_3210 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_914
d_'8851''45'monoid_3210 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_914
du_'8851''45'monoid_3210 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'monoid_3210 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Algebra.Bundles.T_Monoid_914
du_'8851''45'monoid_3210 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_914
du_'8851''45'monoid_3210 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> (AgdaAny -> AgdaAny)
 -> T_Monoid_914)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_914
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_914
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'monoid_3176
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-monoʳ-≤
d_'8851''45'mono'691''45''8804'_3212 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'mono'691''45''8804'_3212 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'mono'691''45''8804'_3212 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'691''45''8804'_3212 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'mono'691''45''8804'_3212 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'mono'691''45''8804'_3212 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'691''45''8804'_3212 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'691''45''8804'_3382
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-monoˡ-≤
d_'8851''45'mono'737''45''8804'_3214 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'mono'737''45''8804'_3214 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'mono'737''45''8804'_3214 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'737''45''8804'_3214 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'mono'737''45''8804'_3214 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'mono'737''45''8804'_3214 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'737''45''8804'_3214 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'737''45''8804'_3372
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-sel
d_'8851''45'sel_3216 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_'8851''45'sel_3216 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> T__'8846'__30
d_'8851''45'sel_3216 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> T__'8846'__30
du_'8851''45'sel_3216 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'sel_3216 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
du_'8851''45'sel_3216 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> T__'8846'__30
du_'8851''45'sel_3216 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'sel_3104
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-selectiveMagma
d_'8851''45'selectiveMagma_3218 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_SelectiveMagma_130
d_'8851''45'selectiveMagma_3218 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_SelectiveMagma_130
d_'8851''45'selectiveMagma_3218 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240 -> T_MaxOperator_138 -> T_SelectiveMagma_130
du_'8851''45'selectiveMagma_3218 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'selectiveMagma_3218 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_SelectiveMagma_130
du_'8851''45'selectiveMagma_3218 :: T_TotalPreorder_240 -> T_MaxOperator_138 -> T_SelectiveMagma_130
du_'8851''45'selectiveMagma_3218 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240 -> T_MinOperator_106 -> T_SelectiveMagma_130)
-> AgdaAny -> AgdaAny -> T_SelectiveMagma_130
forall a b. a -> b
coe
      T_TotalPreorder_240 -> T_MinOperator_106 -> T_SelectiveMagma_130
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'selectiveMagma_3172
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-semigroup
d_'8851''45'semigroup_3220 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_Semigroup_558
d_'8851''45'semigroup_3220 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_Semigroup_558
d_'8851''45'semigroup_3220 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240 -> T_MaxOperator_138 -> T_Semigroup_558
du_'8851''45'semigroup_3220 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'semigroup_3220 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_Semigroup_558
du_'8851''45'semigroup_3220 :: T_TotalPreorder_240 -> T_MaxOperator_138 -> T_Semigroup_558
du_'8851''45'semigroup_3220 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240 -> T_MinOperator_106 -> T_Semigroup_558)
-> AgdaAny -> AgdaAny -> T_Semigroup_558
forall a b. a -> b
coe
      T_TotalPreorder_240 -> T_MinOperator_106 -> T_Semigroup_558
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'semigroup_3166
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-triangulate
d_'8851''45'triangulate_3222 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'triangulate_3222 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'triangulate_3222 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'triangulate_3222 T_TotalPreorder_240
v3 T_MaxOperator_138
v5
du_'8851''45'triangulate_3222 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'triangulate_3222 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'triangulate_3222 T_TotalPreorder_240
v0 T_MaxOperator_138
v1
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'triangulate_3408
      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v1))
-- Algebra.Construct.NaturalChoice.MinMaxOp._.⊓-zero
d_'8851''45'zero_3224 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8851''45'zero_3224 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Σ_14
d_'8851''45'zero_3224 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7
  = T_MaxOperator_138 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'zero_3224 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7
du_'8851''45'zero_3224 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8851''45'zero_3224 :: T_MaxOperator_138 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'zero_3224 T_MaxOperator_138
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_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_166
              T_MaxOperator_138
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_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8852'y'8776'y_160
              T_MaxOperator_138
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'_3226 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'zero'691'_3226 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'zero'691'_3226 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
  = T_MaxOperator_138
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'691'_3226 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
du_'8851''45'zero'691'_3226 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'691'_3226 :: T_MaxOperator_138
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'691'_3226 T_MaxOperator_138
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8852'y'8776'y_160
      T_MaxOperator_138
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'_3228 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'zero'737'_3228 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'zero'737'_3228 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_240
v3 ~T_MinOperator_106
v4 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
  = T_MaxOperator_138
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'737'_3228 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
du_'8851''45'zero'737'_3228 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'737'_3228 :: T_MaxOperator_138
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'737'_3228 T_MaxOperator_138
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_166
      T_MaxOperator_138
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'_3230 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'distrib'737''45''8852'_3230 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'distrib'737''45''8852'_3230 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny
v7
                                        AgdaAny
v8
  = T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'distrib'737''45''8852'_3230 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
du_'8851''45'distrib'737''45''8852'_3230 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'distrib'737''45''8852'_3230 :: T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'distrib'737''45''8852'_3230 T_TotalPreorder_240
v0 T_MinOperator_106
v1 T_MaxOperator_138
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = let v6 :: AgdaAny
v6
          = (T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_142
              (T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                 (T_TotalPreorder_240 -> T_TotalPreorder_240
forall a b. a -> b
coe T_TotalPreorder_240
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
v6 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v7
           -> (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
                (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
                   T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v3
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      AgdaAny
v4 AgdaAny
v5))
                ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v3 AgdaAny
v4)
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v3 AgdaAny
v5))
                (((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
                   (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                   ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v3
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v4 AgdaAny
v5))
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v3 AgdaAny
v5)
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v3 AgdaAny
v4)
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v3 AgdaAny
v5))
                   (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
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-> 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 -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_372
                      ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                      (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                         ((T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
                            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))))
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v3 AgdaAny
v5)
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            AgdaAny
v3 AgdaAny
v4)
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            AgdaAny
v3 AgdaAny
v5))
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            AgdaAny
v3 AgdaAny
v4)
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            AgdaAny
v3 AgdaAny
v5))
                      (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                         ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                         ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                               AgdaAny
v3 AgdaAny
v4)
                            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                               AgdaAny
v3 AgdaAny
v5)))
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8852'y'8776'y_160
                         T_MaxOperator_138
v2
                         (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
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-> AgdaAny
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forall a b. a -> b
coe
                            (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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
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-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                            (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v9)
                            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                               AgdaAny
v3)
                            AgdaAny
v4 AgdaAny
v5)
                         ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'691''45''8804'_3382
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
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_240
 -> T_MinOperator_106
 -> AgdaAny
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 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_2998
                      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v4 AgdaAny
v5)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5)
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8852'y'8776'y_160
                         T_MaxOperator_138
v2 AgdaAny
v4 AgdaAny
v5 AgdaAny
v7)))
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v7
           -> (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
                (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
                   T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v3
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      AgdaAny
v4 AgdaAny
v5))
                ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v3 AgdaAny
v4)
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v3 AgdaAny
v5))
                (((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
                   (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                   ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v3
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v4 AgdaAny
v5))
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v3 AgdaAny
v4)
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v3 AgdaAny
v4)
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v3 AgdaAny
v5))
                   (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
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-> 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 -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_372
                      ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                      (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                         ((T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
                            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))))
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v3 AgdaAny
v4)
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            AgdaAny
v3 AgdaAny
v4)
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            AgdaAny
v3 AgdaAny
v5))
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            AgdaAny
v3 AgdaAny
v4)
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            AgdaAny
v3 AgdaAny
v5))
                      (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                         ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                         ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                               AgdaAny
v3 AgdaAny
v4)
                            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                               AgdaAny
v3 AgdaAny
v5)))
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_166
                         T_MaxOperator_138
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'__298
                            (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v9)
                            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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'_292
                            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                               AgdaAny
v3)
                            (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v8) AgdaAny
v5 AgdaAny
v4)
                         ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'691''45''8804'_3382
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
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_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_2998
                      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v4 AgdaAny
v5)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_166
                         T_MaxOperator_138
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'_3258 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'distrib'691''45''8852'_3258 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'distrib'691''45''8852'_3258 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'distrib'691''45''8852'_3258 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5
du_'8851''45'distrib'691''45''8852'_3258 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'distrib'691''45''8852'_3258 :: T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'distrib'691''45''8852'_3258 T_TotalPreorder_240
v0 T_MinOperator_106
v1 T_MaxOperator_138
v2
  = (T_Setoid_46
 -> (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_46
-> (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'8743'distr'737''8658'distr'691'_536
      ((T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Preorder_142 -> T_Setoid_46
MAlonzo.Code.Relation.Binary.Bundles.du_setoid_190
         ((T_TotalPreorder_240 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_TotalPreorder_240 -> T_Preorder_142
MAlonzo.Code.Relation.Binary.Bundles.du_preorder_270 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
         (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1))
      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2))
      ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong_3046
         ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
         ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
            (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2)))
      ((T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'comm_2972
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1))
      ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> T_MaxOperator_138
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'distrib'737''45''8852'_3230 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊓-distrib-⊔
d_'8851''45'distrib'45''8852'_3260 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8851''45'distrib'45''8852'_3260 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_Σ_14
d_'8851''45'distrib'45''8852'_3260 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106 -> T_MaxOperator_138 -> T_Σ_14
du_'8851''45'distrib'45''8852'_3260 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5
du_'8851''45'distrib'45''8852'_3260 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8851''45'distrib'45''8852'_3260 :: T_TotalPreorder_240
-> T_MinOperator_106 -> T_MaxOperator_138 -> T_Σ_14
du_'8851''45'distrib'45''8852'_3260 T_TotalPreorder_240
v0 T_MinOperator_106
v1 T_MaxOperator_138
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_240
 -> T_MinOperator_106
 -> T_MaxOperator_138
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'distrib'737''45''8852'_3230 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2))
      ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> T_MaxOperator_138
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'distrib'691''45''8852'_3258 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊔-distribˡ-⊓
d_'8852''45'distrib'737''45''8851'_3262 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8852''45'distrib'737''45''8851'_3262 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8852''45'distrib'737''45''8851'_3262 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny
v7
                                        AgdaAny
v8
  = T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'distrib'737''45''8851'_3262 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
du_'8852''45'distrib'737''45''8851'_3262 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8852''45'distrib'737''45''8851'_3262 :: T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'distrib'737''45''8851'_3262 T_TotalPreorder_240
v0 T_MinOperator_106
v1 T_MaxOperator_138
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = let v6 :: AgdaAny
v6
          = (T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_142
              (T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                 (T_TotalPreorder_240 -> T_TotalPreorder_240
forall a b. a -> b
coe T_TotalPreorder_240
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
v6 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v7
           -> (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
                (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
                   T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
                ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                   AgdaAny
v3
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v4 AgdaAny
v5))
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      AgdaAny
v3 AgdaAny
v4)
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      AgdaAny
v3 AgdaAny
v5))
                (((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
                   (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                   ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      AgdaAny
v3
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v4 AgdaAny
v5))
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      AgdaAny
v3 AgdaAny
v4)
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v3 AgdaAny
v4)
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v3 AgdaAny
v5))
                   (((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
                      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_372
                      ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                      (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                         ((T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
                            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))))
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v3 AgdaAny
v4)
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                            AgdaAny
v3 AgdaAny
v4)
                         ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                            AgdaAny
v3 AgdaAny
v5))
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                            AgdaAny
v3 AgdaAny
v4)
                         ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                            AgdaAny
v3 AgdaAny
v5))
                      (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                         ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                               AgdaAny
v3 AgdaAny
v4)
                            ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                               AgdaAny
v3 AgdaAny
v5)))
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                         T_MinOperator_106
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'__298
                            (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v9)
                            ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                               AgdaAny
v3)
                            AgdaAny
v5 AgdaAny
v4)
                         (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
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-> 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'_292
                            ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                               AgdaAny
v3)
                            (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v8) AgdaAny
v5 AgdaAny
v4)
                         ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'691''45''8804'_3382
                            ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
                            ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
                               (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
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_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_2998
                      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
                         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
                      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
                         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2))
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v4 AgdaAny
v5)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                         T_MinOperator_106
v1 AgdaAny
v4 AgdaAny
v5 AgdaAny
v7)))
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v7
           -> (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
                (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
                   T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
                ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                   AgdaAny
v3
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v4 AgdaAny
v5))
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      AgdaAny
v3 AgdaAny
v4)
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      AgdaAny
v3 AgdaAny
v5))
                (((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
                   (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                   ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      AgdaAny
v3
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v4 AgdaAny
v5))
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      AgdaAny
v3 AgdaAny
v5)
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v3 AgdaAny
v4)
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v3 AgdaAny
v5))
                   (((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
                      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_372
                      ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                      (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                         ((T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
                            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))))
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v3 AgdaAny
v5)
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                            AgdaAny
v3 AgdaAny
v4)
                         ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                            AgdaAny
v3 AgdaAny
v5))
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                            AgdaAny
v3 AgdaAny
v4)
                         ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                            AgdaAny
v3 AgdaAny
v5))
                      (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                         ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                               AgdaAny
v3 AgdaAny
v4)
                            ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                               AgdaAny
v3 AgdaAny
v5)))
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
                         T_MinOperator_106
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'_292
                            ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
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'__298
                            (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v9)
                            ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                               AgdaAny
v3)
                            AgdaAny
v4 AgdaAny
v5)
                         ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'691''45''8804'_3382
                            ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
                            ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
                               (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
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_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_2998
                      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
                         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
                      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
                         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2))
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v4 AgdaAny
v5)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5)
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
                         T_MinOperator_106
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'_3290 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8852''45'distrib'691''45''8851'_3290 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8852''45'distrib'691''45''8851'_3290 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'distrib'691''45''8851'_3290 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5
du_'8852''45'distrib'691''45''8851'_3290 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8852''45'distrib'691''45''8851'_3290 :: T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'distrib'691''45''8851'_3290 T_TotalPreorder_240
v0 T_MinOperator_106
v1 T_MaxOperator_138
v2
  = (T_Setoid_46
 -> (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_46
-> (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'8743'distr'737''8658'distr'691'_536
      ((T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Preorder_142 -> T_Setoid_46
MAlonzo.Code.Relation.Binary.Bundles.du_setoid_190
         ((T_TotalPreorder_240 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_TotalPreorder_240 -> T_Preorder_142
MAlonzo.Code.Relation.Binary.Bundles.du_preorder_270 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2))
      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
         (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1))
      ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong_3046
         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1))
      ((T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'comm_2972
         ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
         ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
            (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2)))
      ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> T_MaxOperator_138
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'distrib'737''45''8851'_3262 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊔-distrib-⊓
d_'8852''45'distrib'45''8851'_3292 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8852''45'distrib'45''8851'_3292 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_Σ_14
d_'8852''45'distrib'45''8851'_3292 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106 -> T_MaxOperator_138 -> T_Σ_14
du_'8852''45'distrib'45''8851'_3292 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5
du_'8852''45'distrib'45''8851'_3292 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8852''45'distrib'45''8851'_3292 :: T_TotalPreorder_240
-> T_MinOperator_106 -> T_MaxOperator_138 -> T_Σ_14
du_'8852''45'distrib'45''8851'_3292 T_TotalPreorder_240
v0 T_MinOperator_106
v1 T_MaxOperator_138
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_240
 -> T_MinOperator_106
 -> T_MaxOperator_138
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'distrib'737''45''8851'_3262 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2))
      ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> T_MaxOperator_138
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'distrib'691''45''8851'_3290 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1)
         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊓-absorbs-⊔
d_'8851''45'absorbs'45''8852'_3294 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'absorbs'45''8852'_3294 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'absorbs'45''8852'_3294 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny
v7
  = T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'absorbs'45''8852'_3294 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny
v7
du_'8851''45'absorbs'45''8852'_3294 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'absorbs'45''8852'_3294 :: T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'absorbs'45''8852'_3294 T_TotalPreorder_240
v0 T_MinOperator_106
v1 T_MaxOperator_138
v2 AgdaAny
v3 AgdaAny
v4
  = let v5 :: AgdaAny
v5
          = (T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_142
              (T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                 (T_TotalPreorder_240 -> T_TotalPreorder_240
forall a b. a -> b
coe T_TotalPreorder_240
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
v5 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v6
           -> (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
                (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
                   T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v3
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      AgdaAny
v3 AgdaAny
v4))
                (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                (((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
                   (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                   ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v3
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v3 AgdaAny
v4))
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v3 AgdaAny
v4)
                   AgdaAny
v3
                   (((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
                      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                      ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v3 AgdaAny
v4)
                      AgdaAny
v3 AgdaAny
v3
                      (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                         ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                         T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v4 AgdaAny
v6))
                   ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_2998
                      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v3 AgdaAny
v4)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8852'y'8776'y_160
                         T_MaxOperator_138
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v6)))
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v6
           -> (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
                (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
                   T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v3
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      AgdaAny
v3 AgdaAny
v4))
                (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                (((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
                   (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                   ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v3
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v3 AgdaAny
v4))
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v3 AgdaAny
v3)
                   AgdaAny
v3
                   (((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
                      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                      ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v3 AgdaAny
v3)
                      AgdaAny
v3 AgdaAny
v3
                      (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                         ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))
                      ((T_TotalPreorder_240 -> T_MinOperator_106 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_240 -> T_MinOperator_106 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'idem_3100
                         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))
                   ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_2998
                      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v3 AgdaAny
v4)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_166
                         T_MaxOperator_138
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'_3316 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'8852''45'absorbs'45''8851'_3316 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8852''45'absorbs'45''8851'_3316 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny
v7
  = T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'absorbs'45''8851'_3316 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny
v7
du_'8852''45'absorbs'45''8851'_3316 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'8852''45'absorbs'45''8851'_3316 :: T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'absorbs'45''8851'_3316 T_TotalPreorder_240
v0 T_MinOperator_106
v1 T_MaxOperator_138
v2 AgdaAny
v3 AgdaAny
v4
  = let v5 :: AgdaAny
v5
          = (T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_142
              (T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                 (T_TotalPreorder_240 -> T_TotalPreorder_240
forall a b. a -> b
coe T_TotalPreorder_240
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
v5 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v6
           -> (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
                (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
                   T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
                ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                   AgdaAny
v3
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v3 AgdaAny
v4))
                (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                (((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
                   (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                   ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      AgdaAny
v3
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v3 AgdaAny
v4))
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      AgdaAny
v3 AgdaAny
v3)
                   AgdaAny
v3
                   (((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
                      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                      ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v3 AgdaAny
v3)
                      AgdaAny
v3 AgdaAny
v3
                      (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                         ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))
                      ((T_TotalPreorder_240 -> T_MinOperator_106 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_240 -> T_MinOperator_106 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'idem_3100
                         ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
                         ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
                            (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2))
                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))
                   ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_2998
                      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
                         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
                      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
                         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2))
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v3 AgdaAny
v4)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                         T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v4 AgdaAny
v6)))
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v6
           -> (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
                (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
                   T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
                ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                   AgdaAny
v3
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v3 AgdaAny
v4))
                (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                (((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
                   (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                   ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      AgdaAny
v3
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v3 AgdaAny
v4))
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      AgdaAny
v3 AgdaAny
v4)
                   AgdaAny
v3
                   (((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
                      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                      ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v3 AgdaAny
v4)
                      AgdaAny
v3 AgdaAny
v3
                      (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                         ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_166
                         T_MaxOperator_138
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v6))
                   ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'cong'737'_2998
                      ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
                         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
                      ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
                         (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2))
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v3 AgdaAny
v4)
                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
                         T_MinOperator_106
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_3338 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8852''45''8851''45'absorptive_3338 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_Σ_14
d_'8852''45''8851''45'absorptive_3338 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106 -> T_MaxOperator_138 -> T_Σ_14
du_'8852''45''8851''45'absorptive_3338 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5
du_'8852''45''8851''45'absorptive_3338 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8852''45''8851''45'absorptive_3338 :: T_TotalPreorder_240
-> T_MinOperator_106 -> T_MaxOperator_138 -> T_Σ_14
du_'8852''45''8851''45'absorptive_3338 T_TotalPreorder_240
v0 T_MinOperator_106
v1 T_MaxOperator_138
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_240
 -> T_MinOperator_106
 -> T_MaxOperator_138
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'absorbs'45''8851'_3316 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2))
      ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> T_MaxOperator_138
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'absorbs'45''8852'_3294 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp.⊓-⊔-absorptive
d_'8851''45''8852''45'absorptive_3340 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8851''45''8852''45'absorptive_3340 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> T_Σ_14
d_'8851''45''8852''45'absorptive_3340 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5
  = T_TotalPreorder_240
-> T_MinOperator_106 -> T_MaxOperator_138 -> T_Σ_14
du_'8851''45''8852''45'absorptive_3340 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5
du_'8851''45''8852''45'absorptive_3340 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8851''45''8852''45'absorptive_3340 :: T_TotalPreorder_240
-> T_MinOperator_106 -> T_MaxOperator_138 -> T_Σ_14
du_'8851''45''8852''45'absorptive_3340 T_TotalPreorder_240
v0 T_MinOperator_106
v1 T_MaxOperator_138
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_240
 -> T_MinOperator_106
 -> T_MaxOperator_138
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'absorbs'45''8852'_3294 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2))
      ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> T_MaxOperator_138
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8852''45'absorbs'45''8851'_3316 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2))
-- Algebra.Construct.NaturalChoice.MinMaxOp._≥_
d__'8805'__3342 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> ()
d__'8805'__3342 :: T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> ()
d__'8805'__3342 = T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinMaxOp.antimono-≤-distrib-⊓
d_antimono'45''8804''45'distrib'45''8851'_3350 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
d_antimono'45''8804''45'distrib'45''8851'_3350 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_antimono'45''8804''45'distrib'45''8851'_3350 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5
                                               AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
  = T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_antimono'45''8804''45'distrib'45''8851'_3350
      T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
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'_3350 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
du_antimono'45''8804''45'distrib'45''8851'_3350 :: T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_antimono'45''8804''45'distrib'45''8851'_3350 T_TotalPreorder_240
v0 T_MinOperator_106
v1 T_MaxOperator_138
v2 AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5
                                                AgdaAny
v6 AgdaAny
v7
  = let v8 :: AgdaAny
v8
          = (T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_142
              (T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                 (T_TotalPreorder_240 -> T_TotalPreorder_240
forall a b. a -> b
coe T_TotalPreorder_240
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
v8 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v9
           -> (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
                (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
                   T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
                ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   AgdaAny -> AgdaAny
v3
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v6 AgdaAny
v7))
                ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
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 -> 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 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                   ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      AgdaAny -> AgdaAny
v3
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v6 AgdaAny
v7))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6)
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
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 -> 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
                      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_372
                      ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                      (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                         ((T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
                            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))))
                      ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6)
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
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_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
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
forall a b. a -> b
coe
                         (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                         ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                         ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
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_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_166
                         T_MaxOperator_138
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_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v6 AgdaAny
v7)
                      AgdaAny
v6
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                         T_MinOperator_106
v1 AgdaAny
v6 AgdaAny
v7 AgdaAny
v9)))
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v9
           -> (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
                (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
                   T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
                ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   AgdaAny -> AgdaAny
v3
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v6 AgdaAny
v7))
                ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
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 -> 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 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                   ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      AgdaAny -> AgdaAny
v3
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v6 AgdaAny
v7))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7)
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
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 -> 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
                      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_372
                      ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                      (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                         ((T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
                            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))))
                      ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7)
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
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_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
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
forall a b. a -> b
coe
                         (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                         ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                         ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
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_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8852'y'8776'y_160
                         T_MaxOperator_138
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_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v6 AgdaAny
v7)
                      AgdaAny
v7
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
                         T_MinOperator_106
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'_3396 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
d_antimono'45''8804''45'distrib'45''8852'_3396 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_antimono'45''8804''45'distrib'45''8852'_3396 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5
                                               AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
  = T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_antimono'45''8804''45'distrib'45''8852'_3396
      T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
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'_3396 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
du_antimono'45''8804''45'distrib'45''8852'_3396 :: T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_antimono'45''8804''45'distrib'45''8852'_3396 T_TotalPreorder_240
v0 T_MinOperator_106
v1 T_MaxOperator_138
v2 AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5
                                                AgdaAny
v6 AgdaAny
v7
  = let v8 :: AgdaAny
v8
          = (T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_142
              (T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                 (T_TotalPreorder_240 -> T_TotalPreorder_240
forall a b. a -> b
coe T_TotalPreorder_240
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
v8 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v9
           -> (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
                (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
                   T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
                ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   AgdaAny -> AgdaAny
v3
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      AgdaAny
v6 AgdaAny
v7))
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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 -> 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 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                   ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      AgdaAny -> AgdaAny
v3
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v6 AgdaAny
v7))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7)
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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 -> 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
                      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_372
                      ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                      (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                         ((T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
                            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))))
                      ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v7)
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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
forall a b. a -> b
coe
                         (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                         ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
                         T_MinOperator_106
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_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v6 AgdaAny
v7)
                      AgdaAny
v7
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8852'y'8776'y_160
                         T_MaxOperator_138
v2 AgdaAny
v6 AgdaAny
v7 AgdaAny
v9)))
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v9
           -> (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
                (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
                   T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
                ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   AgdaAny -> AgdaAny
v3
                   ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                      AgdaAny
v6 AgdaAny
v7))
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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 -> 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 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                   ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      AgdaAny -> AgdaAny
v3
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v6 AgdaAny
v7))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6)
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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 -> AgdaAny -> AgdaAny)
 -> AgdaAny
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-> 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 -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_372
                      ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                      (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                         ((T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
                            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))))
                      ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v6)
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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
forall a b. a -> b
coe
                         (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                         ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                         T_MinOperator_106
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_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                         AgdaAny
v6 AgdaAny
v7)
                      AgdaAny
v6
                      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8852'y'8776'x_166
                         T_MaxOperator_138
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_3440 ::
  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_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8804'x'8852'y_3440 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8804'x'8852'y_3440 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny
v7
  = T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8851'y'8804'x'8852'y_3440 T_TotalPreorder_240
v3 T_MinOperator_106
v4 T_MaxOperator_138
v5 AgdaAny
v6 AgdaAny
v7
du_x'8851'y'8804'x'8852'y_3440 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x'8852'y_3440 :: T_TotalPreorder_240
-> T_MinOperator_106
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8851'y'8804'x'8852'y_3440 T_TotalPreorder_240
v0 T_MinOperator_106
v1 T_MaxOperator_138
v2 AgdaAny
v3 AgdaAny
v4
  = ((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.Relation.Binary.Reasoning.Syntax.du_begin__46
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> T__IsRelatedTo__62 -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> T__IsRelatedTo__62 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_start_76
         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
         AgdaAny
v3 AgdaAny
v4)
      ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
         AgdaAny
v3 AgdaAny
v4)
      (((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
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8764'_302
         ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8818''45'go_96
            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
            AgdaAny
v3 AgdaAny
v4)
         AgdaAny
v3
         ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
            AgdaAny
v3 AgdaAny
v4)
         (((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
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8764'_302
            ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8818''45'go_96
               ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                  ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                     (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
            AgdaAny
v3
            ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
               AgdaAny
v3 AgdaAny
v4)
            ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
               AgdaAny
v3 AgdaAny
v4)
            (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
               ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                  ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                     ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                        (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
               ((T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8852'__154 T_MaxOperator_138
v2
                  AgdaAny
v3 AgdaAny
v4))
            ((T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'x_2924
               ((T_TotalPreorder_240 -> T_TotalPreorder_240) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_TotalPreorder_240 -> T_TotalPreorder_240
MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd.du_totalPreorder_760
                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
               ((T_MaxOperator_138 -> T_MinOperator_106) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_MaxOperator_138 -> T_MinOperator_106
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_186
                  (T_MaxOperator_138 -> AgdaAny
forall a b. a -> b
coe T_MaxOperator_138
v2))
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)))
         ((T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'x_2924
            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)))