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

Methods

inv :: k a b -> k b a

Instances

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

Defined in Data.Groupoid

Methods

inv :: forall (a :: k0) (b :: k0). Coercion a b -> Coercion b a

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

Defined in Data.Groupoid

Methods

inv :: forall (a :: k0) (b :: k0). (a :~: b) -> b :~: a

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

Defined in Data.Groupoid

Methods

inv :: forall (a :: k0) (b :: k0). (a :~~: b) -> b :~~: a

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

Defined in Data.Isomorphism

Methods

inv :: forall (a :: k) (b :: k). Iso k2 a b -> Iso k2 b a

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

Defined in Data.Groupoid

Methods

inv :: forall (a :: k) (b :: k). Dual k2 a b -> Dual k2 b a