Pandora.Paradigm.Primary.Transformer.Reverse

Documentation

newtype Reverse t a

Constructors

Reverse (t a)

Instances

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Monoidal (<--) ((->) :: Type -> Type -> Type) (:*:) (:*:) t) => Monoidal (<--) ((->) :: Type -> Type -> Type) (:*:) (:*:) (Reverse t)

Defined in Pandora.Paradigm.Primary.Transformer.Reverse

Methods

unit :: Proxy (:*:) -> (Unit (:*:) -> a) <-- Reverse t a

(Semimonoidal (<--) (:*:) (:*:) t, Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t) => Semimonoidal (<--) (:*:) (:*:) (Reverse t :: Type -> Type)

Defined in Pandora.Paradigm.Primary.Transformer.Reverse

Methods

multiply :: forall (a :: k) (b :: k). (Reverse t a :*: Reverse t b) <-- Reverse t (a :*: b)

Hoistable (Reverse :: (Type -> Type) -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Transformer.Reverse

Methods

(/|\) :: forall (u :: Type -> Type) (v :: Type -> Type). Covariant (->) (->) u => (u ~> v) -> Reverse u ~> Reverse v

hoist :: forall (u :: Type -> Type) (v :: Type -> Type). Covariant (->) (->) u => (u ~> v) -> Reverse u ~> Reverse v

(Semimonoidal ((->) :: Type -> Type -> Type) (:*:) (:*:) t, Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t) => Semimonoidal ((->) :: Type -> Type -> Type) (:*:) (:*:) (Reverse t :: Type -> Type)

Defined in Pandora.Paradigm.Primary.Transformer.Reverse

Methods

multiply :: forall (a :: k) (b :: k). (Reverse t a :*: Reverse t b) -> Reverse t (a :*: b)

Interpreted (Reverse t)

Defined in Pandora.Paradigm.Primary.Transformer.Reverse

Associated Types

type Primary (Reverse t) a

Methods

run :: Reverse t a -> Primary (Reverse t) a

unite :: Primary (Reverse t) a -> Reverse t a

(||=) :: Interpreted u => (Primary (Reverse t) a -> Primary u b) -> Reverse t a -> u b

(=||) :: Interpreted u => (Reverse t a -> u b) -> Primary (Reverse t) a -> Primary u b

(<$||=) :: (Covariant (->) (->) j, Interpreted u) => (Primary (Reverse t) a -> Primary u b) -> (j := Reverse t a) -> j := u b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Primary (Reverse t) a -> Primary u b) -> ((j :. k) := Reverse t a) -> (j :. k) := u b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Primary (Reverse t) a -> Primary u b) -> ((j :. (k :. l)) := Reverse t a) -> (j :. (k :. l)) := u b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Primary (Reverse t) a -> Primary u b) -> ((j :. (k :. (l :. m))) := Reverse t a) -> (j :. (k :. (l :. m))) := u b

(=||$>) :: (Covariant (->) (->) j, Interpreted u) => (Reverse t a -> u b) -> (j := Primary (Reverse t) a) -> j := Primary u b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Reverse t a -> u b) -> ((j :. k) := Primary (Reverse t) a) -> (j :. k) := Primary u b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Reverse t a -> u b) -> ((j :. (k :. l)) := Primary (Reverse t) a) -> (j :. (k :. l)) := Primary u b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Reverse t a -> u b) -> ((j :. (k :. (l :. m))) := Primary (Reverse t) a) -> (j :. (k :. (l :. m))) := Primary u b

Liftable ((->) :: Type -> Type -> Type) (Reverse :: (Type -> Type) -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Transformer.Reverse

Methods

lift :: Covariant (->) (->) u => u a -> Reverse u a

Lowerable ((->) :: Type -> Type -> Type) (Reverse :: (Type -> Type) -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Transformer.Reverse

Methods

lower :: Covariant (->) (->) u => Reverse u a -> u a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Monoidal ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (:*:) (:*:) t) => Monoidal ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (:*:) (:*:) (Reverse t)

Defined in Pandora.Paradigm.Primary.Transformer.Reverse

Methods

unit :: Proxy (:*:) -> (Unit (:*:) -> a) -> Reverse t a

Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t => Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (Reverse t)

Defined in Pandora.Paradigm.Primary.Transformer.Reverse

Methods

(-<$>-) :: (a -> b) -> Reverse t a -> Reverse t b

Distributive ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t => Distributive ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (Reverse t)

Defined in Pandora.Paradigm.Primary.Transformer.Reverse

Methods

(-<<) :: Covariant (->) (->) u => (a -> Reverse t b) -> u a -> Reverse t (u b)

Contravariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t => Contravariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (Reverse t)

Defined in Pandora.Paradigm.Primary.Transformer.Reverse

Methods

(->$<-) :: (a -> b) -> Reverse t b -> Reverse t a

Traversable ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t => Traversable ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (Reverse t)

Defined in Pandora.Paradigm.Primary.Transformer.Reverse

Methods

(<<-) :: (Covariant (->) (->) u, Monoidal (->) (->) (:*:) (:*:) u) => (a -> u b) -> Reverse t a -> u (Reverse t b)

type Primary (Reverse t) a

Defined in Pandora.Paradigm.Primary.Transformer.Reverse

type Primary (Reverse t) a = t a