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[ refactor ] add rawSetoid manifest fields to Algebra.Bundles.Raw #2536

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merged 1 commit into from
Jan 1, 2025
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[ refactor ] add rawSetoid manifest fields to Algebra.Bundles.Raw #2536

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5 changes: 5 additions & 0 deletions CHANGELOG.md
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Expand Up @@ -183,6 +183,11 @@ Additions to existing modules
rawKleeneAlgebra : RawKleeneAlgebra _ _
```

* In `Algebra.Bundles.Raw.*`
```agda
rawSetoid : RawSetoid c ℓ
```

* In `Algebra.Bundles.Raw.RawRingWithoutOne`
```agda
rawNearSemiring : RawNearSemiring c ℓ
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14 changes: 11 additions & 3 deletions src/Algebra/Bundles/Raw.agda
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Expand Up @@ -10,6 +10,7 @@ module Algebra.Bundles.Raw where

open import Algebra.Core
open import Relation.Binary.Core using (Rel)
open import Relation.Binary.Bundles.Raw using (RawSetoid)
open import Level using (suc; _⊔_)
open import Relation.Nullary.Negation.Core using (¬_)

Expand All @@ -27,6 +28,11 @@ record RawSuccessorSet c ℓ : Set (suc (c ⊔ ℓ)) where
suc# : Op₁ Carrier
zero# : Carrier

rawSetoid : RawSetoid c ℓ
rawSetoid = record { _≈_ = _≈_ }

open RawSetoid rawSetoid public using (_≉_)

------------------------------------------------------------------------
-- Raw bundles with 1 binary operation
------------------------------------------------------------------------
Expand All @@ -39,9 +45,11 @@ record RawMagma c ℓ : Set (suc (c ⊔ ℓ)) where
_≈_ : Rel Carrier ℓ
_∙_ : Op₂ Carrier

infix 4 _≉_
_≉_ : Rel Carrier _
x ≉ y = ¬ (x ≈ y)
rawSetoid : RawSetoid c ℓ
rawSetoid = record { _≈_ = _≈_ }

open RawSetoid rawSetoid public using (_≉_)


------------------------------------------------------------------------
-- Raw bundles with 1 binary operation & 1 element
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