Pandora.Paradigm.Primary.Transformer.Backwards

Documentation

newtype Backwards t a

Constructors

Backwards (t a)

Instances

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

Defined in Pandora.Paradigm.Primary.Transformer.Backwards

Methods

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

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

Defined in Pandora.Paradigm.Primary.Transformer.Backwards

Methods

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

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

Defined in Pandora.Paradigm.Primary.Transformer.Backwards

Methods

mult :: forall (a :: k) (b :: k). (Backwards t a :*: Backwards t b) --> Backwards t (a :*: b)

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

Defined in Pandora.Paradigm.Primary.Transformer.Backwards

Methods

mult :: forall (a :: k) (b :: k). (Backwards t a :*: Backwards t b) <-- Backwards t (a :*: b)

Hoistable ((->) :: Type -> Type -> Type) (Backwards :: (Type -> Type) -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Transformer.Backwards

Methods

(/|\) :: Covariant (->) (->) u => (forall a. u a -> v a) -> forall (a :: k). Backwards u a -> Backwards v a

Liftable ((->) :: Type -> Type -> Type) (Backwards :: (Type -> Type) -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Transformer.Backwards

Methods

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

Lowerable ((->) :: Type -> Type -> Type) (Backwards :: (Type -> Type) -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Transformer.Backwards

Methods

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

Interpreted ((->) :: Type -> Type -> Type) (Backwards t)

Defined in Pandora.Paradigm.Primary.Transformer.Backwards

Associated Types

type Primary (Backwards t) a

Methods

run :: ((->) < Backwards t a) < Primary (Backwards t) a

unite :: ((->) < Primary (Backwards t) a) < Backwards t a

(<~~~~~~~~~) :: ((->) < Backwards t a) < Primary (Backwards t) a

(<~~~~~~~~) :: ((->) < Backwards t a) < Primary (Backwards t) a

(<~~~~~~~) :: ((->) < Backwards t a) < Primary (Backwards t) a

(<~~~~~~) :: ((->) < Backwards t a) < Primary (Backwards t) a

(<~~~~~) :: ((->) < Backwards t a) < Primary (Backwards t) a

(<~~~~) :: ((->) < Backwards t a) < Primary (Backwards t) a

(<~~~) :: ((->) < Backwards t a) < Primary (Backwards t) a

(<~~) :: ((->) < Backwards t a) < Primary (Backwards t) a

(<~) :: ((->) < Backwards t a) < Primary (Backwards t) a

(=#-) :: (Semigroupoid (->), Interpreted (->) u) => (((->) < Primary (Backwards t) a) < Primary u b) -> ((->) < Backwards t a) < u b

(-#=) :: (Semigroupoid (->), Interpreted (->) u) => (((->) < Backwards t a) < u b) -> ((->) < Primary (Backwards t) a) < Primary u b

(<$=#-) :: (Semigroupoid (->), Covariant (->) (->) j, Interpreted (->) u) => (((->) < Primary (Backwards t) a) < Primary u b) -> (j > Backwards t a) -> (j > u b)

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

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

Defined in Pandora.Paradigm.Primary.Transformer.Backwards

Methods

(<-|-) :: (a -> b) -> Backwards t a -> Backwards t b

(<-|--) :: (a -> b) -> Backwards t a -> Backwards t b

(<-|---) :: (a -> b) -> Backwards t a -> Backwards t b

(<-|----) :: (a -> b) -> Backwards t a -> Backwards t b

(<-|-----) :: (a -> b) -> Backwards t a -> Backwards t b

(<-|------) :: (a -> b) -> Backwards t a -> Backwards t b

(<-|-------) :: (a -> b) -> Backwards t a -> Backwards t b

(<-|--------) :: (a -> b) -> Backwards t a -> Backwards t b

(<-|-|-) :: (Covariant (->) (Betwixt (->) (->)) u, Covariant (Betwixt (->) (->)) (->) (Backwards t)) => (a -> b) -> Backwards t (u a) -> Backwards t (u b)

(<-|-|--) :: (Covariant (->) (Betwixt (->) (->)) u, Covariant (Betwixt (->) (->)) (->) (Backwards t)) => (a -> b) -> Backwards t (u a) -> Backwards t (u b)

(<-|-|---) :: (Covariant (->) (Betwixt (->) (->)) u, Covariant (Betwixt (->) (->)) (->) (Backwards t)) => (a -> b) -> Backwards t (u a) -> Backwards t (u b)

(<-|-|----) :: (Covariant (->) (Betwixt (->) (->)) u, Covariant (Betwixt (->) (->)) (->) (Backwards t)) => (a -> b) -> Backwards t (u a) -> Backwards t (u b)

(<-|-|-----) :: (Covariant (->) (Betwixt (->) (->)) u, Covariant (Betwixt (->) (->)) (->) (Backwards t)) => (a -> b) -> Backwards t (u a) -> Backwards t (u b)

(<-|-|------) :: (Covariant (->) (Betwixt (->) (->)) u, Covariant (Betwixt (->) (->)) (->) (Backwards t)) => (a -> b) -> Backwards t (u a) -> Backwards t (u b)

(<-|-|-------) :: (Covariant (->) (Betwixt (->) (->)) u, Covariant (Betwixt (->) (->)) (->) (Backwards t)) => (a -> b) -> Backwards t (u a) -> Backwards t (u b)

(<-|-|-|-) :: (Covariant (->) (Betwixt (->) (Betwixt (->) (->))) v, Covariant (Betwixt (->) (Betwixt (->) (->))) (Betwixt (Betwixt (->) (->)) (->)) u, Covariant (Betwixt (Betwixt (->) (->)) (->)) (->) (Backwards t)) => (a -> b) -> Backwards t (u (v a)) -> Backwards t (u (v b))

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

Defined in Pandora.Paradigm.Primary.Transformer.Backwards

Methods

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

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

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

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

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

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

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

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

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

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

Defined in Pandora.Paradigm.Primary.Transformer.Backwards

Methods

(>-|-) :: (a -> b) -> Backwards t b -> Backwards t a

(>-|--) :: (a -> b) -> Backwards t b -> Backwards t a

(>-|---) :: (a -> b) -> Backwards t b -> Backwards t a

(>-|----) :: (a -> b) -> Backwards t b -> Backwards t a

(>-|-----) :: (a -> b) -> Backwards t b -> Backwards t a

(>-|------) :: (a -> b) -> Backwards t b -> Backwards t a

(>-|-------) :: (a -> b) -> Backwards t b -> Backwards t a

(>-|--------) :: (a -> b) -> Backwards t b -> Backwards t a

(>-|-|-) :: (Contravariant (->) (Betwixt (->) (->)) u, Contravariant (Betwixt (->) (->)) (->) (Backwards t)) => (a -> b) -> Backwards t (u a) -> Backwards t (u b)

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

Defined in Pandora.Paradigm.Primary.Transformer.Backwards

Methods

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

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

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

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

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

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

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

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

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

type Primary (Backwards t) a

Defined in Pandora.Paradigm.Primary.Transformer.Backwards

type Primary (Backwards t) a = t a