category-extras-0.53.6: Various modules and constructs inspired by category theory Contents Index

Control.Category.Distributive Portability non-portable (class-associated types) Stability experimental Maintainer Edward Kmett <ekmett@gmail.com>

Contents Distributive Categories

Description

Synopsis

factor :: (PreCartesian hom prod, PreCoCartesian hom sum) => hom (sum (prod a b) (prod a c)) (prod a (sum b c)) class (PreCartesian hom prod, PreCoCartesian hom sum) => Distributive hom prod sum where distribute :: hom (prod a (sum b c)) (sum (prod a b) (prod a c))

Distributive Categories

factor :: (PreCartesian hom prod, PreCoCartesian hom sum) => hom (sum (prod a b) (prod a c)) (prod a (sum b c))

the canonical factoring morphism

class (PreCartesian hom prod, PreCoCartesian hom sum) => Distributive hom prod sum where

A category in which factor is an isomorphism Methods distribute :: hom (prod a (sum b c)) (sum (prod a b) (prod a c))

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