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[DRY] Refactor Data.List.Relation.Binary.Equality.Setoid exports #2490

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Oct 7, 2024
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[DRY] Refactor Data.List.Relation.Binary.Equality.Setoid exports #2490

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2ffc3b0
refactor `Data.List.Relation.Binary.Equality.DecSetoid`
jamesmckinna Oct 1, 2024
58f043b
refactor `Data.List.Relation.Binary.Equality.Setoid`
jamesmckinna Oct 1, 2024
6263040
oops! get import/export of `setoid` correctt
jamesmckinna Oct 1, 2024
ec7494f
knock-on: tighten `impport`s
jamesmckinna Oct 1, 2024
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28 changes: 10 additions & 18 deletions src/Data/List/Relation/Binary/Equality/DecSetoid.agda
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Expand Up @@ -7,33 +7,25 @@
{-# OPTIONS --cubical-compatible --safe #-}

open import Relation.Binary.Bundles using (DecSetoid)
open import Relation.Binary.Structures using (IsDecEquivalence)
open import Relation.Binary.Definitions using (Decidable)

module Data.List.Relation.Binary.Equality.DecSetoid
{a ℓ} (DS : DecSetoid a ℓ) where

import Data.List.Relation.Binary.Equality.Setoid as SetoidEquality
import Data.List.Relation.Binary.Pointwise as PW
open import Level
open import Relation.Binary.Definitions using (Decidable)
open DecSetoid DS

------------------------------------------------------------------------
-- Make all definitions from setoid equality available

open SetoidEquality setoid public
open import Data.List.Relation.Binary.Pointwise using (decSetoid)
open DecSetoid DS using (setoid)

------------------------------------------------------------------------
-- Additional properties

infix 4 _≋?_
≋-decSetoid : DecSetoid _ _
≋-decSetoid = decSetoid DS

_≋?_ : Decidable _≋_
_≋?_ = PW.decidable _≟_
open DecSetoid ≋-decSetoid public
using ()
renaming (isDecEquivalence to ≋-isDecEquivalence; _≟_ to _≋?_)

≋-isDecEquivalence : IsDecEquivalence _≋_
≋-isDecEquivalence = PW.isDecEquivalence isDecEquivalence
------------------------------------------------------------------------
-- Make all definitions from setoid equality available

≋-decSetoid : DecSetoid a (a ⊔ ℓ)
≋-decSetoid = PW.decSetoid DS
open SetoidEquality setoid public
23 changes: 8 additions & 15 deletions src/Data/List/Relation/Binary/Equality/Setoid.agda
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Expand Up @@ -48,24 +48,17 @@ open PW public
-- Relational properties
------------------------------------------------------------------------

≋-refl : Reflexive _≋_
≋-refl = PW.refl refl

≋-reflexive : _≡_ ⇒ _≋_
≋-reflexive ≡.refl = ≋-refl

≋-sym : Symmetric _≋_
≋-sym = PW.symmetric sym

≋-trans : Transitive _≋_
≋-trans = PW.transitive trans

≋-isEquivalence : IsEquivalence _≋_
≋-isEquivalence = PW.isEquivalence isEquivalence

≋-setoid : Setoid _ _
≋-setoid = PW.setoid S

open Setoid ≋-setoid public
using ()
renaming ( refl to ≋-refl
; reflexive to ≋-reflexive
; sym to ≋-sym
; trans to ≋-trans
; isEquivalence to ≋-isEquivalence)

------------------------------------------------------------------------
-- Relationships to predicates
------------------------------------------------------------------------
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8 changes: 4 additions & 4 deletions src/Data/List/Relation/Binary/Subset/DecSetoid.agda
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Expand Up @@ -14,10 +14,10 @@ open import Function.Base using (_∘_)
open import Data.List.Base using ([]; _∷_)
open import Data.List.Relation.Unary.Any using (here; there; map)
open import Relation.Binary.Definitions using (Decidable)
open import Relation.Nullary using (yes; no)
open DecSetoid S
open import Data.List.Relation.Binary.Equality.DecSetoid S
open import Data.List.Membership.DecSetoid S
open import Relation.Nullary.Decidable.Core using (yes; no)

open DecSetoid S using (setoid; refl; trans)
open import Data.List.Membership.DecSetoid S using (_∈?_)

-- Re-export definitions
open import Data.List.Relation.Binary.Subset.Setoid setoid public
Expand Down