semigroupoids-5.3.7: Semigroupoids: Category sans id
Copyright(C) 2021 Koz Ross
LicenseBSD-style (see the file LICENSE)
MaintainerKoz Ross <koz.ross@retro-freedom.nz>
StabilityExperimental
PortabilityGHC only
Safe HaskellTrustworthy
LanguageHaskell2010

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) (k1 :: k) (i :: k). Categorical s j k1 -> Categorical s i j -> Categorical s i k1 Source #

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

Since: 5.3.6