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Rearrange imports
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src/Algebra/Construct/Quotient/Ring.agda

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@@ -11,21 +11,20 @@ open import Algebra.Ideal using (Ideal)
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module Algebra.Construct.Quotient.Ring {c ℓ} (R : Ring c ℓ) {c′ ℓ′} (I : Ideal R c′ ℓ′) where
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open import Algebra.Morphism.Structures using (IsRingHomomorphism)
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open import Algebra.Properties.Ring R
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open import Algebra.Structures
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open import Level
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open Ring R
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private module I = Ideal I
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open I using (ι; normalSubgroup)
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open import Algebra.Construct.Quotient.Group +-group normalSubgroup public
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using (_≋_; _by_; ≋-refl; ≋-sym; ≋-trans; ≋-isEquivalence; ≈⇒≋; quotientIsGroup; quotientGroup; project; project-surjective)
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using (_≋_; _by_; ≋-refl; ≋-sym; ≋-trans; ≋-isEquivalence; ≈⇒≋; quotientIsGroup; quotientGroup; π; π-surjective)
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renaming (≋-∙-cong to ≋-+-cong; ≋-⁻¹-cong to ≋‿-‿cong)
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open import Algebra.Definitions _≋_
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open import Algebra.Morphism.Structures using (IsRingHomomorphism)
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open import Algebra.Properties.Semiring semiring
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open import Algebra.Properties.Ring R
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open import Algebra.Structures
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open import Function.Definitions using (Surjective)
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open import Level
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open import Relation.Binary.Reasoning.Setoid setoid
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≋-*-cong : Congruent₂ _*_
@@ -69,8 +68,8 @@ quotientIsRing = record
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quotientRing : Ring c (c ⊔ ℓ ⊔ c′)
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quotientRing = record { isRing = quotientIsRing }
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project-isHomomorphism : IsRingHomomorphism rawRing quotientRawRing project
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project-isHomomorphism = record
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π-isHomomorphism : IsRingHomomorphism rawRing quotientRawRing π
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π-isHomomorphism = record
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{ isSemiringHomomorphism = record
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{ isNearSemiringHomomorphism = record
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{ +-isMonoidHomomorphism = record

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