base-4.9.1.0: Basic libraries

Copyright(c) Ashley Yakeley 2007
LicenseBSD-style (see the LICENSE file in the distribution)
Maintainerashley@semantic.org
Stabilityexperimental
Portabilityportable
Safe HaskellTrustworthy
LanguageHaskell2010

Control.Category

Description

 

Synopsis

Documentation

class Category cat where #

A class for categories. id and (.) must form a monoid.

Minimal complete definition

id, (.)

Methods

id :: cat a a #

the identity morphism

(.) :: cat b c -> cat a b -> cat a c infixr 9 #

morphism composition

Instances

Category k (Coercion k) # 

Methods

id :: cat a a #

(.) :: cat b c -> cat a b -> cat a c #

Category k ((:~:) k) # 

Methods

id :: cat a a #

(.) :: cat b c -> cat a b -> cat a c #

Category * (->) # 

Methods

id :: cat a a #

(.) :: cat b c -> cat a b -> cat a c #

Monad m => Category * (Kleisli m) # 

Methods

id :: cat a a #

(.) :: cat b c -> cat a b -> cat a c #

(<<<) :: Category cat => cat b c -> cat a b -> cat a c infixr 1 #

Right-to-left composition

(>>>) :: Category cat => cat a b -> cat b c -> cat a c infixr 1 #

Left-to-right composition