Safe Haskell	None
Language	Haskell2010

Proarrow.Profunctor.Identity

Documentation

newtype Id (a :: k) (b :: k) Source Comments #

Constructors

Id
Fields unId :: a ~> b

Instances

Instances details

Monoidal k => MonoidalProfunctor (Id :: k -> k -> Type) Source Comments #
Instance details Defined in Proarrow.Profunctor.Identity Methods par0 :: Id (Unit :: k) (Unit :: k) Source Comments # par :: forall (x1 :: k) (x2 :: k) (y1 :: k) (y2 :: k). Id x1 x2 -> Id y1 y2 -> Id (x1 y1) (x2 y2) Source Comments #
CategoryOf k => Profunctor (Id :: k -> k -> Type) Source Comments #
Instance details Defined in Proarrow.Profunctor.Identity Methods dimap :: forall (c :: k) (a :: k) (b :: k) (d :: k). (c ~> a) -> (b ~> d) -> Id a b -> Id c d Source Comments # (\\) :: forall (a :: k) (b :: k) r. ((Ob a, Ob b) => r) -> Id a b -> r Source Comments #
CategoryOf k => Corepresentable (Id :: k -> k -> Type) Source Comments #
Instance details Defined in Proarrow.Profunctor.Identity Methods coindex :: forall (a :: k) (b :: k). Id a b -> ((Id :: k -> k -> Type) %% a) ~> b Source Comments # cotabulate :: forall (a :: k) (b :: k). Ob a => (((Id :: k -> k -> Type) %% a) ~> b) -> Id a b Source Comments # corepMap :: forall (a :: k) (b :: k). (a ~> b) -> ((Id :: k -> k -> Type) %% a) ~> ((Id :: k -> k -> Type) %% b) Source Comments #
CategoryOf k => Representable (Id :: k -> k -> Type) Source Comments #
Instance details Defined in Proarrow.Profunctor.Identity Methods index :: forall (a :: k) (b :: k). Id a b -> a ~> ((Id :: k -> k -> Type) % b) Source Comments # tabulate :: forall (b :: k) (a :: k). Ob b => (a ~> ((Id :: k -> k -> Type) % b)) -> Id a b Source Comments # repMap :: forall (a :: k) (b :: k). (a ~> b) -> ((Id :: k -> k -> Type) % a) ~> ((Id :: k -> k -> Type) % b) Source Comments #
CategoryOf k => Adjunction (Id :: k -> k -> Type) (Id :: k -> k -> Type) Source Comments #
Instance details Defined in Proarrow.Adjunction Methods unit :: forall (a :: k). Ob a => ((Id :: k -> k -> Type) :.: (Id :: k -> k -> Type)) a a Source Comments # counit :: ((Id :: k -> k -> Type) :.: (Id :: k -> k -> Type)) :~> ((~>) :: CAT k) Source Comments #
Dagger k => DaggerProfunctor (Id :: k -> k -> Type) Source Comments #
Instance details Defined in Proarrow.Profunctor.Identity Methods dagger :: forall (a :: k) (b :: k). Id a b -> Id b a Source Comments #
CategoryOf k => Promonad (Id :: k -> k -> Type) Source Comments #
Instance details Defined in Proarrow.Profunctor.Identity Methods id :: forall (a :: k). Ob a => Id a a Source Comments # (.) :: forall (b :: k) (c :: k) (a :: k). Id b c -> Id a b -> Id a c Source Comments #
CategoryOf k => Procomonad (Id :: k -> k -> Type) Source Comments #
Instance details Defined in Proarrow.Promonad Methods extract :: (Id :: k -> k -> Type) :~> ((~>) :: CAT k) Source Comments # duplicate :: (Id :: k -> k -> Type) :~> ((Id :: k -> k -> Type) :.: (Id :: k -> k -> Type)) Source Comments #
type (Id :: k -> k -> Type) %% (a :: k) Source Comments #
Instance details Defined in Proarrow.Profunctor.Identity type (Id :: k -> k -> Type) %% (a :: k) = a
type (Id :: k -> k -> Type) % (a :: k) Source Comments #
Instance details Defined in Proarrow.Profunctor.Identity type (Id :: k -> k -> Type) % (a :: k) = a