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Data.Product imports to Data.Product.Base (#2003)
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README/Data/Container/FreeMonad.agda

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@@ -16,7 +16,7 @@ open import Data.Unit
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open import Data.Bool.Base using (Bool; true)
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open import Data.Nat
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open import Data.Sum using (inj₁; inj₂)
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open import Data.Product renaming (_×_ to _⟨×⟩_)
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open import Data.Product.Base renaming (_×_ to _⟨×⟩_)
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open import Data.Container using (Container; _▷_)
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open import Data.Container.Combinator
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open import Data.Container.FreeMonad as FreeMonad

src/Algebra/Apartness/Properties/HeytingCommutativeRing.agda

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@@ -11,7 +11,7 @@ open import Algebra.Apartness.Bundles using (HeytingCommutativeRing)
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module Algebra.Apartness.Properties.HeytingCommutativeRing
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{c ℓ₁ ℓ₂} (HCR : HeytingCommutativeRing c ℓ₁ ℓ₂) where
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open import Data.Product using (_,_; proj₂)
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open import Data.Product.Base using (_,_; proj₂)
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open import Algebra using (CommutativeRing; RightIdentity)
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open HeytingCommutativeRing HCR

src/Algebra/Construct/Add/Identity.agda

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@@ -14,7 +14,7 @@ open import Algebra.Core using (Op₂)
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open import Algebra.Definitions
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open import Algebra.Structures
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open import Relation.Binary.Construct.Add.Point.Equality renaming (_≈∙_ to lift≈)
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open import Data.Product using (_,_)
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open import Data.Product.Base using (_,_)
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open import Level using (Level; _⊔_)
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open import Relation.Binary.Core
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open import Relation.Binary.Definitions

src/Algebra/Construct/Flip/Op.agda

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module Algebra.Construct.Flip.Op where
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open import Algebra
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import Data.Product as Prod
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import Data.Product.Base as Prod
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import Data.Sum as Sum
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open import Function.Base using (flip)
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open import Level using (Level)

src/Algebra/Construct/LexProduct/Inner.agda

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open import Algebra
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open import Data.Bool.Base using (false; true)
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open import Data.Product using (_×_; _,_; swap; map; uncurry′)
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open import Data.Product.Base using (_×_; _,_; swap; map; uncurry′)
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open import Function.Base using (_∘_)
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open import Level using (Level; _⊔_)
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open import Relation.Binary.Definitions using (Decidable)

src/Algebra/Construct/LiftedChoice.agda

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@@ -14,7 +14,7 @@ open import Algebra.Consequences.Base
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open import Relation.Binary
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open import Relation.Nullary using (¬_; yes; no)
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open import Data.Sum.Base as Sum using (_⊎_; inj₁; inj₂; [_,_])
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open import Data.Product using (_×_; _,_)
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open import Data.Product.Base using (_×_; _,_)
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open import Level using (Level; _⊔_)
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open import Relation.Binary.PropositionalEquality as P using (_≡_)
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open import Relation.Unary using (Pred)

src/Algebra/Construct/NaturalChoice/Min.agda

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@@ -10,7 +10,7 @@ open import Algebra.Core
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open import Algebra.Bundles
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open import Algebra.Construct.NaturalChoice.Base
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open import Data.Sum using (inj₁; inj₂; [_,_])
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open import Data.Product using (_,_)
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open import Data.Product.Base using (_,_)
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open import Function.Base using (id)
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open import Relation.Binary
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import Algebra.Construct.NaturalChoice.MinOp as MinOp

src/Algebra/Construct/Subst/Equality.agda

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{-# OPTIONS --cubical-compatible --safe #-}
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open import Data.Product as Prod
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open import Data.Product.Base as Prod
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open import Relation.Binary.Core
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module Algebra.Construct.Subst.Equality

src/Algebra/Lattice/Morphism/Construct/Identity.agda

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@@ -11,7 +11,7 @@ module Algebra.Lattice.Morphism.Construct.Identity where
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open import Algebra.Lattice.Bundles
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open import Algebra.Lattice.Morphism.Structures
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using ( module LatticeMorphisms )
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open import Data.Product using (_,_)
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open import Data.Product.Base using (_,_)
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open import Function.Base using (id)
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open import Level using (Level)
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open import Relation.Binary.Morphism.Construct.Identity using (isRelHomomorphism)

src/Algebra/Lattice/Morphism/LatticeMonomorphism.agda

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@@ -15,7 +15,7 @@ open import Algebra.Lattice.Morphism.Structures
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import Algebra.Consequences.Setoid as Consequences
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import Algebra.Morphism.MagmaMonomorphism as MagmaMonomorphisms
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import Algebra.Lattice.Properties.Lattice as LatticeProperties
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open import Data.Product using (_,_; map)
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open import Data.Product.Base using (_,_; map)
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open import Relation.Binary
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import Relation.Binary.Morphism.RelMonomorphism as RelMonomorphisms
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import Relation.Binary.Reasoning.Setoid as SetoidReasoning

src/Algebra/Lattice/Properties/BooleanAlgebra/Expression.agda

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@@ -18,7 +18,7 @@ open import Effect.Applicative as Applicative
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open import Effect.Monad
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open import Data.Fin.Base using (Fin)
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open import Data.Nat.Base
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open import Data.Product using (_,_; proj₁; proj₂)
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open import Data.Product.Base using (_,_; proj₁; proj₂)
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open import Data.Vec.Base as Vec using (Vec)
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import Data.Vec.Effectful as VecCat
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import Function.Identity.Effectful as IdCat

src/Algebra/Lattice/Structures/Biased.agda

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open import Algebra.Core
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open import Algebra.Consequences.Setoid
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open import Data.Product using (proj₁; proj₂)
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open import Data.Product.Base using (proj₁; proj₂)
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open import Level using (_⊔_)
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open import Relation.Binary using (Rel; Setoid; IsEquivalence)
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src/Algebra/Module/Morphism/Construct/Identity.agda

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@@ -21,7 +21,7 @@ open import Algebra.Module.Morphism.Structures
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; module ModuleMorphisms
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)
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open import Algebra.Morphism.Construct.Identity
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open import Data.Product using (_,_)
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open import Data.Product.Base using (_,_)
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open import Function.Base using (id)
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open import Level using (Level)
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src/Algebra/Module/Structures.agda

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@@ -16,7 +16,7 @@ open import Algebra.Module.Core
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import Algebra.Definitions as Defs
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open import Algebra.Module.Definitions
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open import Algebra.Structures
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open import Data.Product using (_,_; proj₁; proj₂)
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open import Data.Product.Base using (_,_; proj₁; proj₂)
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open import Level using (Level; _⊔_)
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private

src/Algebra/Morphism/Consequences.agda

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@@ -10,7 +10,7 @@ module Algebra.Morphism.Consequences where
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open import Algebra using (Magma)
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open import Algebra.Morphism.Definitions
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open import Data.Product using (_,_)
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open import Data.Product.Base using (_,_)
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open import Function.Base using (id; _∘_)
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open import Function.Definitions
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import Relation.Binary.Reasoning.Setoid as EqR

src/Algebra/Morphism/Construct/Identity.agda

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@@ -20,7 +20,7 @@ open import Algebra.Morphism.Structures
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; module QuasigroupMorphisms
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; module LoopMorphisms
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)
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open import Data.Product using (_,_)
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open import Data.Product.Base using (_,_)
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open import Function.Base using (id)
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open import Level using (Level)
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open import Relation.Binary.Morphism.Construct.Identity using (isRelHomomorphism)

src/Algebra/Morphism/MonoidMonomorphism.agda

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@@ -24,7 +24,7 @@ open RawMonoid M₂ renaming (Carrier to B; _≈_ to _≈₂_; _∙_ to _◦_;
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open import Algebra.Definitions
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open import Algebra.Structures
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open import Data.Product using (map)
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open import Data.Product.Base using (map)
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import Relation.Binary.Reasoning.Setoid as SetoidReasoning
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------------------------------------------------------------------------

src/Algebra/Ordered/Structures.agda

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@@ -21,7 +21,7 @@ module Algebra.Ordered.Structures
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open import Algebra.Core
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open import Algebra.Definitions _≈_
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open import Algebra.Structures _≈_
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open import Data.Product using (proj₁; proj₂)
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open import Data.Product.Base using (proj₁; proj₂)
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open import Function.Base using (flip)
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open import Level using (_⊔_)
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open import Relation.Binary.Definitions using (Transitive; Monotonic₁; Monotonic₂)

src/Algebra/Properties/BooleanAlgebra.agda

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@@ -30,7 +30,7 @@ open import Algebra.Structures _≈_
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open import Relation.Binary
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open import Function.Equality using (_⟨$⟩_)
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open import Function.Equivalence using (_⇔_; module Equivalence)
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open import Data.Product using (_,_)
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open import Data.Product.Base using (_,_)
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------------------------------------------------------------------------
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-- DEPRECATED NAMES

src/Algebra/Properties/CommutativeMagma/Divisibility.agda

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{-# OPTIONS --cubical-compatible --safe #-}
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open import Algebra using (CommutativeMagma)
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open import Data.Product using (_×_; _,_; map)
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open import Data.Product.Base using (_×_; _,_; map)
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module Algebra.Properties.CommutativeMagma.Divisibility
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{a ℓ} (CM : CommutativeMagma a ℓ)

src/Algebra/Properties/CommutativeSemigroup/Divisibility.agda

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{-# OPTIONS --cubical-compatible --safe #-}
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open import Algebra using (CommutativeSemigroup)
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open import Data.Product using (_,_)
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open import Data.Product.Base using (_,_)
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import Relation.Binary.Reasoning.Setoid as EqReasoning
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module Algebra.Properties.CommutativeSemigroup.Divisibility

src/Algebra/Properties/Lattice.agda

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@@ -11,7 +11,7 @@ open import Algebra.Lattice.Bundles
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open import Relation.Binary
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open import Function.Base
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open import Function.Bundles using (module Equivalence; _⇔_)
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open import Data.Product using (_,_; swap)
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open import Data.Product.Base using (_,_; swap)
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module Algebra.Properties.Lattice {l₁ l₂} (L : Lattice l₁ l₂) where
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src/Algebra/Properties/Monoid/Divisibility.agda

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{-# OPTIONS --cubical-compatible --safe #-}
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open import Algebra using (Monoid)
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open import Data.Product using (_,_)
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open import Data.Product.Base using (_,_)
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open import Relation.Binary
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module Algebra.Properties.Monoid.Divisibility

src/Algebra/Properties/Semigroup/Divisibility.agda

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{-# OPTIONS --cubical-compatible --safe #-}
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open import Algebra using (Semigroup)
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open import Data.Product using (_,_)
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open import Data.Product.Base using (_,_)
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open import Relation.Binary.Definitions using (Transitive)
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module Algebra.Properties.Semigroup.Divisibility

src/Algebra/Properties/Semiring/Divisibility.agda

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open import Algebra using (Semiring)
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import Algebra.Properties.Monoid.Divisibility as MonoidDivisibility
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open import Data.Product using (_,_)
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open import Data.Product.Base using (_,_)
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open import Data.Sum.Base using (_⊎_; inj₁; inj₂)
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module Algebra.Properties.Semiring.Divisibility

src/Algebra/Solver/CommutativeMonoid.agda

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using (Maybe; decToMaybe; From-just; from-just)
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open import Data.Nat as ℕ using (ℕ; zero; suc; _+_)
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open import Data.Nat.GeneralisedArithmetic using (fold)
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open import Data.Product using (_×_; uncurry)
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open import Data.Product.Base using (_×_; uncurry)
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open import Data.Vec.Base using (Vec; []; _∷_; lookup; replicate)
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open import Function.Base using (_∘_)

src/Algebra/Solver/IdempotentCommutativeMonoid.agda

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@@ -15,7 +15,7 @@ open import Data.Fin.Base using (Fin; zero; suc)
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open import Data.Maybe.Base as Maybe
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using (Maybe; decToMaybe; From-just; from-just)
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open import Data.Nat.Base as ℕ using (ℕ; zero; suc; _+_)
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open import Data.Product using (_×_; uncurry)
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open import Data.Product.Base using (_×_; uncurry)
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open import Data.Vec.Base using (Vec; []; _∷_; lookup; replicate)
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open import Function.Base using (_∘_)

src/Algebra/Solver/Ring/NaturalCoefficients.agda

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@@ -12,7 +12,7 @@ import Algebra.Properties.Semiring.Mult as SemiringMultiplication
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open import Data.Maybe.Base using (Maybe; just; nothing; map)
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open import Algebra.Solver.Ring.AlmostCommutativeRing
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open import Data.Nat.Base as ℕ
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open import Data.Product using (module Σ)
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open import Data.Product.Base using (module Σ)
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open import Function.Base using (id)
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open import Relation.Binary.PropositionalEquality using (_≡_)
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