Control.Category.Instances.Linear

(source)

This module defines `Linear`, the category of types and linear
functions. Unlike the unrestricted function category `Typ`, this
is a non-distributive bimonoidal category.

Reexports

import public Data.Linear

Definitions

data Linear : Type0 -> Type0 -> Type

  The category of types and linear functions.

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Constructor:

MkLinear : (1 _ : a .runW0 -@ b .runW0) -> Linear a b

Hints:

Bimonoidal Linear LEither LPair (W0 Void) (W0 ())
Braided Linear LPair (W0 ())
Braided Linear LEither (W0 Void)
CatBifunctor Linear Linear Linear LPair
CatBifunctor Linear Linear Linear LEither
CatFunctor Linear Typ id
CatFunctor Linear Linear (liftW LMaybe)
Category Linear
Closed Linear LPair LinearHom (W0 ())
LaxMonFunctor Linear LPair (W0 ()) Typ Pair (W0 ()) id
MonFunctor Linear LPair (W0 ()) Typ Pair (W0 ()) id
MonSymmetric Linear LPair (W0 ())
MonSymmetric Linear LEither (W0 Void)
Monoidal Linear LPair (W0 ())
Monoidal Linear LEither (W0 Void)
Semigroupoid Linear

runLinear : Linear a b -@ (a .runW0 -@ b .runW0)

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.runLinear : Linear a b -@ (a .runW0 -@ b .runW0)

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Linear_ : (0 _ : Type) -> (0 _ : Type) -> Type

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LPair : Type0 -> Type0 -> Type0

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LEither : Type0 -> Type0 -> Type0

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LinearHom : Type0 -> Type0 -> Type0

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leither : a -@ c -> b -@ c -> LEither a b -@ c

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LinearSemigroupoid : Semigroupoid Linear

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Linear : SemigroupoidR

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Linear : CategoryR

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LinearToTyp : FunctorR Linear Typ

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LMaybe : EndofunctorR Linear

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LPair : EndoBifunctorR Linear

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LEither : EndoBifunctorR Linear

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LinearLPair : MonoidalR

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LinearLEither : MonoidalR

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LinearLPair : BraidedR

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LinearLEither : BraidedR

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LinearLPair : SymmetricR

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LinearLEither : SymmetricR

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Linear : BimonoidalR

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Linear : RigCategoryR

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Linear : SymRigCategoryR

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Linear : ClosedR

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