Pandora.Paradigm.Primary.Functor.Wedge

Documentation

data Wedge e a

Constructors

Nowhere

Here e

There a

Instances

Covariant (Wedge e)

Defined in Pandora.Paradigm.Primary.Functor.Wedge

Methods

(<$>) :: (a -> b) -> Wedge e a -> Wedge e b

comap :: (a -> b) -> Wedge e a -> Wedge e b

(<$) :: a -> Wedge e b -> Wedge e a

($>) :: Wedge e a -> b -> Wedge e b

void :: Wedge e a -> Wedge e ()

loeb :: Wedge e (a <:= Wedge e) -> Wedge e a

(<&>) :: Wedge e a -> (a -> b) -> Wedge e b

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

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

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

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

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

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

(.#..) :: (Wedge e ~ v a, Category v) => v c d -> ((v a :. v b) := c) -> (v a :. v b) := d

(.#...) :: (Wedge e ~ v a, Wedge e ~ v b, Category v, Covariant (v a), Covariant (v b)) => v d e0 -> ((v a :. (v b :. v c)) := d) -> (v a :. (v b :. v c)) := e0

(.#....) :: (Wedge e ~ v a, Wedge e ~ v b, Wedge e ~ v c, Category v, Covariant (v a), Covariant (v b), Covariant (v c)) => v e0 f -> ((v a :. (v b :. (v c :. v d))) := e0) -> (v a :. (v b :. (v c :. v d))) := f

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

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

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

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

($$$>) :: (Covariant u, Covariant v) => ((Wedge e :. (u :. v)) := a) -> b -> (Wedge e :. (u :. v)) := b

($$$$>) :: (Covariant u, Covariant v, Covariant w) => ((Wedge e :. (u :. (v :. w))) := a) -> b -> (Wedge e :. (u :. (v :. w))) := b

Pointable (Wedge e) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Wedge

Methods

point :: a -> Wedge e a

Morphable ('Into ('There Maybe :: Wedge e1 (Type -> Type)) :: Morph (Wedge e1 (Type -> Type))) (Wedge e2)

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into ('There Maybe)) (Wedge e2) :: Type -> Type

Methods

morphing :: (Tagged ('Into ('There Maybe)) <:.> Wedge e2) ~> Morphing ('Into ('There Maybe)) (Wedge e2)

Covariant_ (Wedge e) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Wedge

Methods

(-<$>-) :: (a -> b) -> Wedge e a -> Wedge e b

Traversable (Wedge e) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Wedge

Methods

(<<-) :: (Covariant_ u (->) (->), Pointable u (->), Semimonoidal u (:*:) (->) (->)) => (a -> u b) -> Wedge e a -> u (Wedge e b)

Morphable ('Into ('Here Maybe :: Wedge (Type -> Type) a1) :: Morph (Wedge (Type -> Type) a1)) (Flip Wedge a2)

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into ('Here Maybe)) (Flip Wedge a2) :: Type -> Type

Methods

morphing :: (Tagged ('Into ('Here Maybe)) <:.> Flip Wedge a2) ~> Morphing ('Into ('Here Maybe)) (Flip Wedge a2)

type Morphing ('Into ('There Maybe :: Wedge e1 (Type -> Type)) :: Morph (Wedge e1 (Type -> Type))) (Wedge e2)

Defined in Pandora.Paradigm.Primary

type Morphing ('Into ('There Maybe :: Wedge e1 (Type -> Type)) :: Morph (Wedge e1 (Type -> Type))) (Wedge e2) = Maybe

type Morphing ('Into ('Here Maybe :: Wedge (Type -> Type) a1) :: Morph (Wedge (Type -> Type) a1)) (Flip Wedge a2)

Defined in Pandora.Paradigm.Primary

type Morphing ('Into ('Here Maybe :: Wedge (Type -> Type) a1) :: Morph (Wedge (Type -> Type) a1)) (Flip Wedge a2) = Maybe

wedge :: (e -> r) -> (a -> r) -> r -> Wedge e a -> r