Copyright	(c) Ashley Yakeley 2007
License	BSD-style (see the LICENSE file in the distribution)
Maintainer	ashley@semantic.org
Stability	experimental
Portability	portable
Safe Haskell	Trustworthy
Language	Haskell2010

Control.Category

Description

Synopsis

Documentation

class Category cat where Source #

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

Minimal complete definition

Methods

id :: cat a a Source #

the identity morphism

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

morphism composition

Instances

Category k (Coercion k) #	Since: 4.7.0.0
Methods id :: cat a a Source # (.) :: cat b c -> cat a b -> cat a c Source #
Category k ((:~:) k) #	Since: 4.7.0.0
Methods id :: cat a a Source # (.) :: cat b c -> cat a b -> cat a c Source #
Category k ((:~~:) k k) #	Since: 4.10.0.0
Methods id :: cat a a Source # (.) :: cat b c -> cat a b -> cat a c Source #
Monad m => Category * (Kleisli m) #	Since: 3.0
Methods id :: cat a a Source # (.) :: cat b c -> cat a b -> cat a c Source #
Category * ((->) LiftedRep LiftedRep) #	Since: 3.0
Methods id :: cat a a Source # (.) :: cat b c -> cat a b -> cat a c Source #

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

Right-to-left composition

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

Left-to-right composition