Data.Groupoid

Documentation

class Semigroupoid k => Groupoid k where

semigroupoid with inverses. This technically should be a category with inverses, except we need to use Ob to define the valid objects for the category

Minimal complete definition

inv

Methods

inv :: k a b -> k b a

Instances

Groupoid ((:~:) :: k -> k -> *)

Defined in Data.Groupoid

Methods

inv :: (a :~: b) -> b :~: a

Groupoid (Coercion :: k -> k -> *)

Defined in Data.Groupoid

Methods

inv :: Coercion a b -> Coercion b a

Groupoid ((:~~:) :: k -> k -> *)

Defined in Data.Groupoid

Methods

inv :: (a :~~: b) -> b :~~: a

Semigroupoid k2 => Groupoid (Iso k2 :: k1 -> k1 -> *)

Defined in Data.Isomorphism

Methods

inv :: Iso k2 a b -> Iso k2 b a

Groupoid k2 => Groupoid (Dual k2 :: k1 -> k1 -> *)

Defined in Data.Groupoid

Methods

inv :: Dual k2 a b -> Dual k2 b a