Pandora.Paradigm.Primary.Functor.Proxy

Documentation

data Proxy a

Constructors

Proxy

Instances

Contravariant (Proxy :: Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Proxy

Methods

(>$<) :: (a -> b) -> Proxy b -> Proxy a

contramap :: (a -> b) -> Proxy b -> Proxy a

(>$) :: b -> Proxy b -> Proxy a

($<) :: Proxy b -> b -> Proxy a

full :: Proxy () -> Proxy a

(>&<) :: Proxy b -> (a -> b) -> Proxy a

(>$$<) :: Contravariant u => (a -> b) -> ((Proxy :. u) := a) -> (Proxy :. u) := b

(>$$$<) :: (Contravariant u, Contravariant v) => (a -> b) -> ((Proxy :. (u :. v)) := b) -> (Proxy :. (u :. v)) := a

(>$$$$<) :: (Contravariant u, Contravariant v, Contravariant w) => (a -> b) -> ((Proxy :. (u :. (v :. w))) := a) -> (Proxy :. (u :. (v :. w))) := b

(>&&<) :: Contravariant u => ((Proxy :. u) := a) -> (a -> b) -> (Proxy :. u) := b

(>&&&<) :: (Contravariant u, Contravariant v) => ((Proxy :. (u :. v)) := b) -> (a -> b) -> (Proxy :. (u :. v)) := a

(>&&&&<) :: (Contravariant u, Contravariant v, Contravariant w) => ((Proxy :. (u :. (v :. w))) := a) -> (a -> b) -> (Proxy :. (u :. (v :. w))) := b

Covariant (Proxy :: Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Proxy

Methods

(<$>) :: (a -> b) -> Proxy a -> Proxy b

comap :: (a -> b) -> Proxy a -> Proxy b

(<$) :: a -> Proxy b -> Proxy a

($>) :: Proxy a -> b -> Proxy b

void :: Proxy a -> Proxy ()

loeb :: Proxy (a <:= Proxy) -> Proxy a

(<&>) :: Proxy a -> (a -> b) -> Proxy b

(<$$>) :: Covariant u => (a -> b) -> ((Proxy :. u) := a) -> (Proxy :. u) := b

(<$$$>) :: (Covariant u, Covariant v) => (a -> b) -> ((Proxy :. (u :. v)) := a) -> (Proxy :. (u :. v)) := b

(<$$$$>) :: (Covariant u, Covariant v, Covariant w) => (a -> b) -> ((Proxy :. (u :. (v :. w))) := a) -> (Proxy :. (u :. (v :. w))) := b

(<&&>) :: Covariant u => ((Proxy :. u) := a) -> (a -> b) -> (Proxy :. u) := b

(<&&&>) :: (Covariant u, Covariant v) => ((Proxy :. (u :. v)) := a) -> (a -> b) -> (Proxy :. (u :. v)) := b

(<&&&&>) :: (Covariant u, Covariant v, Covariant w) => ((Proxy :. (u :. (v :. w))) := a) -> (a -> b) -> (Proxy :. (u :. (v :. w))) := b

Bindable (Proxy :: Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Proxy

Methods

(>>=) :: Proxy a -> (a -> Proxy b) -> Proxy b

(=<<) :: (a -> Proxy b) -> Proxy a -> Proxy b

bind :: (a -> Proxy b) -> Proxy a -> Proxy b

join :: ((Proxy :. Proxy) := a) -> Proxy a

(>=>) :: (a -> Proxy b) -> (b -> Proxy c) -> a -> Proxy c

(<=<) :: (b -> Proxy c) -> (a -> Proxy b) -> a -> Proxy c

($>>=) :: Covariant u => ((u :. Proxy) := a) -> (a -> Proxy b) -> (u :. Proxy) := b

Applicative (Proxy :: Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Proxy

Methods

(<*>) :: Proxy (a -> b) -> Proxy a -> Proxy b

apply :: Proxy (a -> b) -> Proxy a -> Proxy b

(*>) :: Proxy a -> Proxy b -> Proxy b

(<*) :: Proxy a -> Proxy b -> Proxy a

forever :: Proxy a -> Proxy b

(<**>) :: Applicative u => ((Proxy :. u) := (a -> b)) -> ((Proxy :. u) := a) -> (Proxy :. u) := b

(<***>) :: (Applicative u, Applicative v) => ((Proxy :. (u :. v)) := (a -> b)) -> ((Proxy :. (u :. v)) := a) -> (Proxy :. (u :. v)) := b

(<****>) :: (Applicative u, Applicative v, Applicative w) => ((Proxy :. (u :. (v :. w))) := (a -> b)) -> ((Proxy :. (u :. (v :. w))) := a) -> (Proxy :. (u :. (v :. w))) := b

Alternative (Proxy :: Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Proxy

Methods

(<+>) :: Proxy a -> Proxy a -> Proxy a

alter :: Proxy a -> Proxy a -> Proxy a

Distributive (Proxy :: Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Proxy

Methods

(>>-) :: Covariant u => u a -> (a -> Proxy b) -> (Proxy :. u) := b

collect :: Covariant u => (a -> Proxy b) -> u a -> (Proxy :. u) := b

distribute :: Covariant u => ((u :. Proxy) := a) -> (Proxy :. u) := a

(>>>-) :: (Covariant u, Covariant v) => ((u :. v) := a) -> (a -> Proxy b) -> (Proxy :. (u :. v)) := b

(>>>>-) :: (Covariant u, Covariant v, Covariant w) => ((u :. (v :. w)) := a) -> (a -> Proxy b) -> (Proxy :. (u :. (v :. w))) := b

(>>>>>-) :: (Covariant u, Covariant v, Covariant w, Covariant j) => ((u :. (v :. (w :. j))) := a) -> (a -> Proxy b) -> (Proxy :. (u :. (v :. (w :. j)))) := b

Extendable (Proxy :: Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Proxy

Methods

(=>>) :: Proxy a -> (Proxy a -> b) -> Proxy b

(<<=) :: (Proxy a -> b) -> Proxy a -> Proxy b

extend :: (Proxy a -> b) -> Proxy a -> Proxy b

duplicate :: Proxy a -> (Proxy :. Proxy) := a

(=<=) :: (Proxy b -> c) -> (Proxy a -> b) -> Proxy a -> c

(=>=) :: (Proxy a -> b) -> (Proxy b -> c) -> Proxy a -> c

($=>>) :: Covariant u => ((u :. Proxy) := a) -> (Proxy a -> b) -> (u :. Proxy) := b

(<<=$) :: Covariant u => ((u :. Proxy) := a) -> (Proxy a -> b) -> (u :. Proxy) := b

Pointable (Proxy :: Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Proxy

Methods

point :: a :=> Proxy

Monad (Proxy :: Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Proxy

Methods

(>>=-) :: Proxy a -> Proxy b -> Proxy a

(->>=) :: Proxy a -> Proxy b -> Proxy b

(-=<<) :: Proxy a -> Proxy b -> Proxy b

(=<<-) :: Proxy a -> Proxy b -> Proxy a