W3cubDocs

/Haskell 8

Control.Category

Copyright (c) Ashley Yakeley 2007
License BSD-style (see the LICENSE file in the distribution)
Maintainer [email protected]
Stability experimental
Portability portable
Safe Haskell Trustworthy
Language Haskell2010

Description

class Category cat where Source

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

Minimal complete definition

id, (.)

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

© The University of Glasgow and others
Licensed under a BSD-style license (see top of the page).
https://downloads.haskell.org/~ghc/8.2.1/docs/html/libraries/base-4.10.0.0/Control-Category.html