semigroupoids-5.3.7: Semigroupoids: Category sans id
Copyright (C) 2021 Koz Ross
License BSD-style (see the file LICENSE)
Maintainer Koz Ross <koz.ross@retro-freedom.nz>
Stability Experimental
Portability GHC only
Safe Haskell Trustworthy
Language Haskell2010

Data.Semigroupoid.Categorical

Description

Provides a way to attach an identity to any semigroupoid.

Synopsis

Documentation

data Categorical s a b where Source #

Attaches an identity.

Since: 5.3.6

Constructors

Id :: Categorical s a a
Embed :: s a b -> Categorical s a b

Instances

Instances details
Semigroupoid s => Category ( Categorical s :: Type -> Type -> Type ) Source #

Since: 5.3.6

Instance details

Defined in Data.Semigroupoid.Categorical

Methods

id :: forall (a :: k). Categorical s a a Source #

(.) :: forall (b :: k) (c :: k) (a :: k). Categorical s b c -> Categorical s a b -> Categorical s a c Source #

Semigroupoid s => Semigroupoid ( Categorical s :: Type -> Type -> Type ) Source #

Since: 5.3.6

Instance details

Defined in Data.Semigroupoid.Categorical

Methods

o :: forall (j :: k) (k :: k) (i :: k). Categorical s j k -> Categorical s i j -> Categorical s i k Source #

runCategorical :: (a ~ b => r) -> (s a b -> r) -> Categorical s a b -> r Source #

Since: 5.3.6