Control.Category

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

class Category cat where Source

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

id :: cat a a Source

the identity morphism

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

morphism composition

Category k (Coercion k)
Methods id :: cat a a Source (.) :: cat b c -> cat a b -> cat a c Source
Category k ((:~:) k)
Methods id :: cat a a Source (.) :: cat b c -> cat a b -> cat a c Source
Category * (->)
Methods id :: cat a a Source (.) :: cat b c -> cat a b -> cat a c Source
Monad m => Category * (Kleisli m)
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

© The University of Glasgow and others
Licensed under a BSD-style license (see top of the page).
https://downloads.haskell.org/~ghc/8.0.1/docs/html/libraries/base-4.9.0.0/Control-Category.html