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[imports] Algebra.Module.Definitions.Bi.Simultaneous .. Data.Bool.Properties (#2620)
* Import cleanig Data * Import cleanig Data * fixed * fix * fix
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src/Algebra/Module/Definitions/Bi/Simultaneous.agda

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{-# OPTIONS --cubical-compatible --safe #-}
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open import Relation.Binary using (Rel)
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open import Relation.Binary.Core using (Rel)
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module Algebra.Module.Definitions.Bi.Simultaneous
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{a b ℓb} (A : Set a) {B : Set b} (_≈_ : Rel B ℓb)

src/Codata/Sized/Colist.agda

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module Codata.Sized.Colist where
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open import Level using (Level)
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open import Size
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open import Data.Unit.Base
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open import Data.Nat.Base
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open import Data.Product.Base using (_×_ ; _,_)
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open import Data.These.Base using (These; this; that; these)
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open import Data.Maybe.Base using (Maybe; nothing; just)
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open import Codata.Sized.Conat as Conat using (Conat ; zero ; suc)
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open import Codata.Sized.Cowriter as CW using (Cowriter; _∷_)
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open import Codata.Sized.Delay as Delay using (Delay ; now ; later)
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open import Codata.Sized.Stream using (Stream ; _∷_)
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open import Codata.Sized.Thunk using (Thunk; force)
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open import Data.List.Base using (List; []; _∷_)
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open import Data.List.NonEmpty as List⁺ using (List⁺; _∷_)
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open import Data.Maybe.Base using (Maybe; nothing; just)
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open import Data.Nat.Base using (ℕ; suc; zero)
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open import Data.Product.Base using (_×_ ; _,_)
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open import Data.These.Base using (These; this; that; these)
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open import Data.Unit.Base using (⊤)
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open import Data.Vec.Base as Vec using (Vec; []; _∷_)
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open import Data.Vec.Bounded.Base as Vec≤ using (Vec≤)
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open import Function.Base using (_$′_; _∘′_; id; _∘_)
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open import Codata.Sized.Thunk using (Thunk; force)
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open import Codata.Sized.Conat as Conat using (Conat ; zero ; suc)
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open import Codata.Sized.Cowriter as CW using (Cowriter; _∷_)
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open import Codata.Sized.Delay as Delay using (Delay ; now ; later)
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open import Codata.Sized.Stream using (Stream ; _∷_)
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open import Level using (Level)
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open import Relation.Binary.PropositionalEquality.Core using (_≡_; refl)
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open import Size using (Size; ∞)
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private
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variable

src/Codata/Sized/Conat.agda

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module Codata.Sized.Conat where
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open import Size
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open import Codata.Sized.Thunk
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open import Size using (Size ; ∞; Size<_)
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open import Codata.Sized.Thunk using (Thunk ; force)
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open import Data.Nat.Base using (ℕ ; zero ; suc)
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open import Relation.Nullary
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open import Relation.Nullary.Negation.Core using (¬_)
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------------------------------------------------------------------------
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-- Definition and first values

src/Codata/Sized/Covec.agda

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module Codata.Sized.Covec where
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open import Size
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open import Size using (Size ; ∞)
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open import Codata.Sized.Thunk using (Thunk; force)
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open import Codata.Sized.Conat as Conat
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open import Codata.Sized.Conat.Bisimilarity
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open import Codata.Sized.Conat.Properties
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using (Conat ; zero ; suc; _+_; infinity; fromℕ; _ℕ+_)
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open import Codata.Sized.Conat.Bisimilarity using (_⊢_≈_; zero; suc)
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open import Codata.Sized.Conat.Properties using (0ℕ+-identity)
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open import Codata.Sized.Cofin as Cofin using (Cofin; zero; suc)
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open import Codata.Sized.Colist as Colist using (Colist ; [] ; _∷_)
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open import Codata.Sized.Stream as Stream using (Stream ; _∷_)

src/Codata/Sized/Cowriter.agda

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module Codata.Sized.Cowriter where
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open import Size
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open import Size using (Size; ∞)
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open import Level as L using (Level)
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open import Codata.Sized.Thunk using (Thunk; force)
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open import Codata.Sized.Conat
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open import Codata.Sized.Conat using (Conat; zero; suc)
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open import Codata.Sized.Delay using (Delay; later; now)
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open import Codata.Sized.Stream as Stream using (Stream; _∷_)
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open import Data.Unit.Base
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open import Data.Unit.Base using (⊤)
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open import Data.List.Base using (List; []; _∷_)
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open import Data.List.NonEmpty.Base using (List⁺; _∷_)
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open import Data.Nat.Base as ℕ using (ℕ; zero; suc)

src/Codata/Sized/Delay.agda

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module Codata.Sized.Delay where
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open import Size
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open import Size using (Size; ∞)
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open import Codata.Sized.Thunk using (Thunk; force)
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open import Codata.Sized.Conat using (Conat; zero; suc; Finite)
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open import Data.Empty
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open import Relation.Nullary
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open import Data.Nat.Base
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open import Data.Empty using (⊥)
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open import Data.Nat.Base using (ℕ; suc; zero)
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open import Data.Maybe.Base hiding (map ; fromMaybe ; zipWith ; alignWith ; zip ; align)
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open import Data.Product.Base hiding (map ; zip)
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open import Data.Sum.Base hiding (map)
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open import Data.These.Base using (These; this; that; these)
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open import Function.Base using (id)
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open import Relation.Nullary.Negation.Core using (¬_)
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------------------------------------------------------------------------
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-- Definition

src/Codata/Sized/M.agda

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module Codata.Sized.M where
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open import Size
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open import Level
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open import Size using (Size; ∞)
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open import Level using (Level; _⊔_)
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open import Codata.Sized.Thunk using (Thunk; force)
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open import Data.Product.Base hiding (map)
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open import Data.Container.Core as C hiding (map)

src/Codata/Sized/Stream.agda

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module Codata.Sized.Stream where
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open import Size
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open import Codata.Sized.Thunk as Thunk using (Thunk; force)
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open import Data.Nat.Base
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open import Data.Nat.Base using (ℕ; suc; zero)
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open import Data.List.Base using (List; []; _∷_)
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open import Data.List.NonEmpty as List⁺ using (List⁺; _∷_; _∷⁺_)
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open import Data.Vec.Base using (Vec; []; _∷_)
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open import Data.Product.Base as P using (Σ; _×_; _,_; <_,_>; proj₁; proj₂)
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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.PropositionalEquality.Core using (_≡_; refl)
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open import Size using (Size; ∞; Size<_)
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private
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variable

src/Codata/Sized/Stream/Bisimilarity.agda

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module Codata.Sized.Stream.Bisimilarity where
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open import Size
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open import Codata.Sized.Thunk
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open import Codata.Sized.Stream
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open import Level
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open import Size using (Size; ∞)
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open import Codata.Sized.Thunk using (Thunk; Thunk^R; force)
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open import Codata.Sized.Stream using (Stream; _∷_; _++_; _⁺++_)
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open import Level using (Level; _⊔_)
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open import Data.List.NonEmpty as List⁺ using (_∷_)
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open import Data.List.Relation.Binary.Pointwise.Base using (Pointwise; []; _∷_)
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open import Relation.Binary.Core using (Rel; REL)

src/Codata/Sized/Stream/Effectful.agda

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module Codata.Sized.Stream.Effectful where
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open import Data.Product.Base using (<_,_>)
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open import Codata.Sized.Stream
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open import Effect.Functor
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open import Effect.Applicative
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open import Effect.Comonad
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open import Function.Base
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open import Codata.Sized.Stream using
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(Stream; _∷_; _++_; _⁺++_; map; repeat; ap; head; unfold; tail)
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open import Effect.Functor using (RawFunctor)
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open import Effect.Applicative using (RawApplicative)
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open import Effect.Comonad using (RawComonad)
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open import Function.Base using (_∘′_)
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functor : {ℓ i} RawFunctor {ℓ} (λ A Stream A i)
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functor = record { _<$>_ = λ f map f }

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