{-# 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.MaxOp 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.Construct.NaturalChoice.Base
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.Relation.Binary.Bundles
import qualified MAlonzo.Code.Relation.Binary.Construct.Flip.EqAndOrd

-- Algebra.Construct.NaturalChoice.MaxOp._._≈_
d__'8776'__30 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> ()
d__'8776'__30 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> ()
d__'8776'__30 = T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MaxOp._._≲_
d__'8818'__34 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> ()
d__'8818'__34 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> ()
d__'8818'__34 = T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MaxOp.Min.x≤y⇒x⊓z≤y
d_x'8804'y'8658'x'8851'z'8804'y_106 ::
  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_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8658'x'8851'z'8804'y_106 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8658'x'8851'z'8804'y_106 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'x'8851'z'8804'y_106 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_x'8804'y'8658'x'8851'z'8804'y_106 ::
  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_106 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'x'8851'z'8804'y_106 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.MaxOp.Min.x≤y⇒z⊓x≤y
d_x'8804'y'8658'z'8851'x'8804'y_108 ::
  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_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8658'z'8851'x'8804'y_108 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8658'z'8851'x'8804'y_108 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'z'8851'x'8804'y_108 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_x'8804'y'8658'z'8851'x'8804'y_108 ::
  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_108 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'z'8851'x'8804'y_108 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.MaxOp.Min.x≤y⊓z⇒x≤y
d_x'8804'y'8851'z'8658'x'8804'y_110 ::
  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_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'y_110 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'y_110 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'y_110 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_x'8804'y'8851'z'8658'x'8804'y_110 ::
  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_110 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'y_110 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.MaxOp.Min.x≤y⊓z⇒x≤z
d_x'8804'y'8851'z'8658'x'8804'z_112 ::
  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_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'z_112 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'z_112 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'z_112 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_x'8804'y'8851'z'8658'x'8804'z_112 ::
  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_112 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'z_112 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.MaxOp.Min.x⊓y≈x⇒x≤y
d_x'8851'y'8776'x'8658'x'8804'y_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_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8776'x'8658'x'8804'y_114 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8776'x'8658'x'8804'y_114 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'x'8658'x'8804'y_114 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_x'8851'y'8776'x'8658'x'8804'y_114 ::
  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_114 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'x'8658'x'8804'y_114 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.MaxOp.Min.x⊓y≈y⇒y≤x
d_x'8851'y'8776'y'8658'y'8804'x_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_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8776'y'8658'y'8804'x_116 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8776'y'8658'y'8804'x_116 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'y'8658'y'8804'x_116 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_x'8851'y'8776'y'8658'y'8804'x_116 ::
  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_116 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'y'8658'y'8804'x_116 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.MaxOp.Min.x⊓y≤x
d_x'8851'y'8804'x_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_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8804'x_118 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8804'x_118 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_118 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_x'8851'y'8804'x_118 ::
  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_118 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_118 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.MaxOp.Min.x⊓y≤y
d_x'8851'y'8804'y_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_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8804'y_120 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8804'y_120 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_120 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_x'8851'y'8804'y_120 ::
  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_120 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_120 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.MaxOp.Min.⊓-assoc
d_'8851''45'assoc_122 ::
  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_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'assoc_122 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'assoc_122 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'assoc_122 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'assoc_122 ::
  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_122 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'assoc_122 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.MaxOp.Min.⊓-band
d_'8851''45'band_124 ::
  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_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_Band_620
d_'8851''45'band_124 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> T_Band_620
d_'8851''45'band_124 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240 -> T_MaxOperator_138 -> T_Band_620
du_'8851''45'band_124 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'band_124 ::
  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_124 :: T_TotalPreorder_240 -> T_MaxOperator_138 -> T_Band_620
du_'8851''45'band_124 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.MaxOp.Min.⊓-comm
d_'8851''45'comm_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_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'comm_126 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'comm_126 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_126 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'comm_126 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_126 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_126 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.MaxOp.Min.⊓-commutativeSemigroup
d_'8851''45'commutativeSemigroup_128 ::
  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_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeSemigroup_688
d_'8851''45'commutativeSemigroup_128 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> T_CommutativeSemigroup_688
d_'8851''45'commutativeSemigroup_128 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138 -> T_CommutativeSemigroup_688
du_'8851''45'commutativeSemigroup_128 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'commutativeSemigroup_128 ::
  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_128 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> T_CommutativeSemigroup_688
du_'8851''45'commutativeSemigroup_128 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.MaxOp.Min.⊓-cong
d_'8851''45'cong_130 ::
  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_MaxOperator_138 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'cong_130 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'cong_130 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong_130 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'cong_130 ::
  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_130 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong_130 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.MaxOp.Min.⊓-congʳ
d_'8851''45'cong'691'_132 ::
  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_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'cong'691'_132 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'cong'691'_132 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'691'_132 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'cong'691'_132 ::
  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'_132 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'691'_132 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.MaxOp.Min.⊓-congˡ
d_'8851''45'cong'737'_134 ::
  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_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'cong'737'_134 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'cong'737'_134 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'737'_134 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'cong'737'_134 ::
  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'_134 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'737'_134 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.MaxOp.Min.⊓-glb
d_'8851''45'glb_136 ::
  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_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'glb_136 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'glb_136 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4 = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'glb_136 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'glb_136 ::
  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_136 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'glb_136 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.MaxOp.Min.⊓-idem
d_'8851''45'idem_138 ::
  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_MaxOperator_138 ->
  AgdaAny -> AgdaAny
d_'8851''45'idem_138 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
d_'8851''45'idem_138 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240 -> T_MaxOperator_138 -> AgdaAny -> AgdaAny
du_'8851''45'idem_138 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'idem_138 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> AgdaAny
du_'8851''45'idem_138 :: T_TotalPreorder_240 -> T_MaxOperator_138 -> AgdaAny -> AgdaAny
du_'8851''45'idem_138 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.MaxOp.Min.⊓-identity
d_'8851''45'identity_140 ::
  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_MaxOperator_138 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8851''45'identity_140 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Σ_14
d_'8851''45'identity_140 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_240
v3 T_MaxOperator_138
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6
  = T_MaxOperator_138 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'identity_140 T_MaxOperator_138
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6
du_'8851''45'identity_140 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8851''45'identity_140 :: T_MaxOperator_138 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'identity_140 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.MaxOp.Min.⊓-identityʳ
d_'8851''45'identity'691'_142 ::
  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_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'identity'691'_142 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'identity'691'_142 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_240
v3 T_MaxOperator_138
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7
  = T_MaxOperator_138
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'691'_142 T_MaxOperator_138
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7
du_'8851''45'identity'691'_142 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'691'_142 :: T_MaxOperator_138
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'691'_142 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.MaxOp.Min.⊓-identityˡ
d_'8851''45'identity'737'_144 ::
  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_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'identity'737'_144 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'identity'737'_144 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_240
v3 T_MaxOperator_138
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7
  = T_MaxOperator_138
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'737'_144 T_MaxOperator_138
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7
du_'8851''45'identity'737'_144 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'737'_144 :: T_MaxOperator_138
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'identity'737'_144 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.MaxOp.Min.⊓-isBand
d_'8851''45'isBand_146 ::
  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_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsBand_526
d_'8851''45'isBand_146 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> T_IsBand_526
d_'8851''45'isBand_146 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240 -> T_MaxOperator_138 -> T_IsBand_526
du_'8851''45'isBand_146 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'isBand_146 ::
  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_146 :: T_TotalPreorder_240 -> T_MaxOperator_138 -> T_IsBand_526
du_'8851''45'isBand_146 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.MaxOp.Min.⊓-isCommutativeSemigroup
d_'8851''45'isCommutativeSemigroup_148 ::
  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_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_568
d_'8851''45'isCommutativeSemigroup_148 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> T_IsCommutativeSemigroup_568
d_'8851''45'isCommutativeSemigroup_148 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138 -> T_IsCommutativeSemigroup_568
du_'8851''45'isCommutativeSemigroup_148 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'isCommutativeSemigroup_148 ::
  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_148 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> T_IsCommutativeSemigroup_568
du_'8851''45'isCommutativeSemigroup_148 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.MaxOp.Min.⊓-isMagma
d_'8851''45'isMagma_150 ::
  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_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_178
d_'8851''45'isMagma_150 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> T_IsMagma_178
d_'8851''45'isMagma_150 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240 -> T_MaxOperator_138 -> T_IsMagma_178
du_'8851''45'isMagma_150 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'isMagma_150 ::
  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_150 :: T_TotalPreorder_240 -> T_MaxOperator_138 -> T_IsMagma_178
du_'8851''45'isMagma_150 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.MaxOp.Min.⊓-isMonoid
d_'8851''45'isMonoid_152 ::
  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_MaxOperator_138 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_712
d_'8851''45'isMonoid_152 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_712
d_'8851''45'isMonoid_152 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_712
du_'8851''45'isMonoid_152 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'isMonoid_152 ::
  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_152 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_712
du_'8851''45'isMonoid_152 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.MaxOp.Min.⊓-isSelectiveMagma
d_'8851''45'isSelectiveMagma_154 ::
  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_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsSelectiveMagma_450
d_'8851''45'isSelectiveMagma_154 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> T_IsSelectiveMagma_450
d_'8851''45'isSelectiveMagma_154 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240 -> T_MaxOperator_138 -> T_IsSelectiveMagma_450
du_'8851''45'isSelectiveMagma_154 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'isSelectiveMagma_154 ::
  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_154 :: T_TotalPreorder_240 -> T_MaxOperator_138 -> T_IsSelectiveMagma_450
du_'8851''45'isSelectiveMagma_154 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.MaxOp.Min.⊓-isSemigroup
d_'8851''45'isSemigroup_156 ::
  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_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_488
d_'8851''45'isSemigroup_156 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> T_IsSemigroup_488
d_'8851''45'isSemigroup_156 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240 -> T_MaxOperator_138 -> T_IsSemigroup_488
du_'8851''45'isSemigroup_156 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'isSemigroup_156 ::
  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_156 :: T_TotalPreorder_240 -> T_MaxOperator_138 -> T_IsSemigroup_488
du_'8851''45'isSemigroup_156 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.MaxOp.Min.⊓-magma
d_'8851''45'magma_158 ::
  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_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_Magma_74
d_'8851''45'magma_158 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> T_Magma_74
d_'8851''45'magma_158 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240 -> T_MaxOperator_138 -> T_Magma_74
du_'8851''45'magma_158 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'magma_158 ::
  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_158 :: T_TotalPreorder_240 -> T_MaxOperator_138 -> T_Magma_74
du_'8851''45'magma_158 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.MaxOp.Min.⊓-mono-≤
d_'8851''45'mono'45''8804'_160 ::
  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_MaxOperator_138 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'mono'45''8804'_160 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'mono'45''8804'_160 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'45''8804'_160 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'mono'45''8804'_160 ::
  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'_160 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'45''8804'_160 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.MaxOp.Min.⊓-monoid
d_'8851''45'monoid_162 ::
  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_MaxOperator_138 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Algebra.Bundles.T_Monoid_914
d_'8851''45'monoid_162 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_914
d_'8851''45'monoid_162 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_914
du_'8851''45'monoid_162 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'monoid_162 ::
  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_162 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_914
du_'8851''45'monoid_162 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.MaxOp.Min.⊓-monoʳ-≤
d_'8851''45'mono'691''45''8804'_164 ::
  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_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'mono'691''45''8804'_164 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'mono'691''45''8804'_164 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'691''45''8804'_164 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'mono'691''45''8804'_164 ::
  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'_164 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'691''45''8804'_164 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.MaxOp.Min.⊓-monoˡ-≤
d_'8851''45'mono'737''45''8804'_166 ::
  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_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'mono'737''45''8804'_166 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'mono'737''45''8804'_166 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'737''45''8804'_166 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'mono'737''45''8804'_166 ::
  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'_166 :: T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'737''45''8804'_166 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.MaxOp.Min.⊓-sel
d_'8851''45'sel_170 ::
  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_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_'8851''45'sel_170 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> T__'8846'__30
d_'8851''45'sel_170 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4 = T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> T__'8846'__30
du_'8851''45'sel_170 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'sel_170 ::
  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_170 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> T__'8846'__30
du_'8851''45'sel_170 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.MaxOp.Min.⊓-selectiveMagma
d_'8851''45'selectiveMagma_172 ::
  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_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_SelectiveMagma_130
d_'8851''45'selectiveMagma_172 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> T_SelectiveMagma_130
d_'8851''45'selectiveMagma_172 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240 -> T_MaxOperator_138 -> T_SelectiveMagma_130
du_'8851''45'selectiveMagma_172 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'selectiveMagma_172 ::
  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_172 :: T_TotalPreorder_240 -> T_MaxOperator_138 -> T_SelectiveMagma_130
du_'8851''45'selectiveMagma_172 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.MaxOp.Min.⊓-semigroup
d_'8851''45'semigroup_174 ::
  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_MaxOperator_138 ->
  MAlonzo.Code.Algebra.Bundles.T_Semigroup_558
d_'8851''45'semigroup_174 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> T_Semigroup_558
d_'8851''45'semigroup_174 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240 -> T_MaxOperator_138 -> T_Semigroup_558
du_'8851''45'semigroup_174 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'semigroup_174 ::
  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_174 :: T_TotalPreorder_240 -> T_MaxOperator_138 -> T_Semigroup_558
du_'8851''45'semigroup_174 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.MaxOp.Min.⊓-triangulate
d_'8851''45'triangulate_176 ::
  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_MaxOperator_138 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'triangulate_176 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'triangulate_176 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
  = T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'triangulate_176 T_TotalPreorder_240
v3 T_MaxOperator_138
v4
du_'8851''45'triangulate_176 ::
  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_176 :: T_TotalPreorder_240
-> T_MaxOperator_138 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'triangulate_176 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.MaxOp.Min.⊓-zero
d_'8851''45'zero_178 ::
  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_MaxOperator_138 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8851''45'zero_178 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Σ_14
d_'8851''45'zero_178 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_240
v3 T_MaxOperator_138
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6
  = T_MaxOperator_138 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'zero_178 T_MaxOperator_138
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6
du_'8851''45'zero_178 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8851''45'zero_178 :: T_MaxOperator_138 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
du_'8851''45'zero_178 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.MaxOp.Min.⊓-zeroʳ
d_'8851''45'zero'691'_180 ::
  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_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'zero'691'_180 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'zero'691'_180 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_240
v3 T_MaxOperator_138
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7
  = T_MaxOperator_138
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'691'_180 T_MaxOperator_138
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7
du_'8851''45'zero'691'_180 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'691'_180 :: T_MaxOperator_138
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'691'_180 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.MaxOp.Min.⊓-zeroˡ
d_'8851''45'zero'737'_182 ::
  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_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'zero'737'_182 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8851''45'zero'737'_182 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_240
v3 T_MaxOperator_138
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7
  = T_MaxOperator_138
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'737'_182 T_MaxOperator_138
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7
du_'8851''45'zero'737'_182 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_138 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'737'_182 :: T_MaxOperator_138
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8851''45'zero'737'_182 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.MaxOp.mono-≤-distrib-⊔
d_mono'45''8804''45'distrib'45''8852'_190 ::
  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_MaxOperator_138 ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
d_mono'45''8804''45'distrib'45''8852'_190 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MaxOperator_138
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_mono'45''8804''45'distrib'45''8852'_190 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MaxOperator_138
v4 AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6
                                          AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7
  = 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'_190 T_TotalPreorder_240
v3 T_MaxOperator_138
v4 AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7
du_mono'45''8804''45'distrib'45''8852'_190 ::
  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'_190 :: 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'_190 T_TotalPreorder_240
v0 T_MaxOperator_138
v1 AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4
  = (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
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 -> 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))
      ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2) ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe (\ AgdaAny
v5 AgdaAny
v6 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v6 AgdaAny
v5))