Pandora.Paradigm.Schemes.TU

Documentation

newtype TU ct cu t u a

Constructors

TU ((t :. u) := a)

Instances

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) u, Semimonoidal (-->) (:*:) (:*:) t, Semimonoidal (-->) (:*:) (:+:) u, Monoidal (-->) (-->) (:*:) (:+:) t) => Monoidal (-->) (-->) (:*:) (:+:) (t <:.> u)

Defined in Pandora.Paradigm.Schemes.TU

Methods

unit :: Proxy (:*:) -> (Unit (:+:) --> a) --> (t <:.> u) a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) u, Semimonoidal (-->) (:*:) (:*:) u, Monoidal (-->) (-->) (:*:) (:*:) t, Monoidal (-->) (-->) (:*:) (:*:) u) => Monoidal (-->) (-->) (:*:) (:*:) (t <:.> u)

Defined in Pandora.Paradigm.Schemes.TU

Methods

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

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

Defined in Pandora.Paradigm.Schemes.TU

Methods

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

(Semigroupoid m, Covariant m m t, Covariant (Betwixt m m) m t, Covariant m (Betwixt m m) u, Interpreted m (t <:.> u)) => Covariant m m (t <:.> u)

Defined in Pandora.Paradigm.Schemes.TU

Methods

(<-|-) :: m a b -> m ((t <:.> u) a) ((t <:.> u) b)

(<-|-|-) :: (Covariant m (Betwixt m m) u0, Covariant (Betwixt m m) m (t <:.> u)) => m a b -> m ((t <:.> u) (u0 a)) ((t <:.> u) (u0 b))

(<-|-|-|-) :: (Covariant m (Betwixt m (Betwixt m m)) v, Covariant (Betwixt m (Betwixt m m)) (Betwixt (Betwixt m m) m) u0, Covariant (Betwixt (Betwixt m m) m) m (t <:.> u)) => m a b -> m ((t <:.> u) (u0 (v a))) ((t <:.> u) (u0 (v b)))

Nullable Rose

Defined in Pandora.Paradigm.Structure.Some.Rose

Methods

null :: forall (a :: k). (Predicate :. Rose) := a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) u, Semimonoidal (-->) (:*:) (:*:) t, Semimonoidal (-->) (:*:) (:+:) u) => Semimonoidal (-->) (:*:) (:+:) (t <:.> u :: Type -> Type)

Defined in Pandora.Paradigm.Schemes.TU

Methods

mult :: forall (a :: k) (b :: k). ((t <:.> u) a :*: (t <:.> u) b) --> (t <:.> u) (a :+: b)

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

Defined in Pandora.Paradigm.Schemes.TU

Methods

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

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

Defined in Pandora.Paradigm.Schemes.TU

Methods

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

Setoid k => Morphable ('Lookup ('Key :: a -> Morph a) :: Morph (a -> Morph a)) (Prefixed Rose k)

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

type Morphing ('Lookup 'Key) (Prefixed Rose k) :: Type -> Type

Methods

morphing :: (Tagged ('Lookup 'Key) <::> Prefixed Rose k) ~> Morphing ('Lookup 'Key) (Prefixed Rose k)

Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t => Hoistable ((->) :: Type -> Type -> Type) (TU Covariant Covariant t :: (Type -> Type) -> Type -> Type)

Defined in Pandora.Paradigm.Schemes.TU

Methods

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

(Traversable ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Traversable ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) u) => Traversable ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (t <:.> u)

Defined in Pandora.Paradigm.Schemes.TU

Methods

(<<-) :: (Covariant (->) (->) u0, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u0) => (a -> u0 b) -> (t <:.> u) a -> u0 ((t <:.> u) b)

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (t <.:> v), Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (w <:.> u), Adjoint ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) v u, Adjoint ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t w) => Adjoint ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (t <.:> v) (w <:.> u)

Defined in Pandora.Paradigm.Schemes

Methods

(-|) :: ((t <.:> v) a -> b) -> a -> (w <:.> u) b

(|-) :: (a -> (w <:.> u) b) -> (t <.:> v) a -> b

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (v <:.> t), Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (w <.:> u), Adjoint ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t u, Adjoint ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) v w) => Adjoint ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (v <:.> t) (w <.:> u)

Defined in Pandora.Paradigm.Schemes

Methods

(-|) :: ((v <:.> t) a -> b) -> a -> (w <.:> u) b

(|-) :: (a -> (w <.:> u) b) -> (v <:.> t) a -> b

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (v <:.> t), Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (u <:.> w), Adjoint ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t u, Adjoint ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) v w) => Adjoint ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (v <:.> t) (u <:.> w)

Defined in Pandora.Paradigm.Schemes

Methods

(-|) :: ((v <:.> t) a -> b) -> a -> (u <:.> w) b

(|-) :: (a -> (u <:.> w) b) -> (v <:.> t) a -> b

Extendable ((->) :: Type -> Type -> Type) u => Extendable ((->) :: Type -> Type -> Type) ((:*:) e <:.> u)

Defined in Pandora.Paradigm.Inventory.Equipment

Methods

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

(Bindable ((->) :: Type -> Type -> Type) t, Distributive ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) u, Bindable ((->) :: Type -> Type -> Type) u) => Bindable ((->) :: Type -> Type -> Type) (t <:.> u)

Defined in Pandora.Paradigm.Schemes.TU

Methods

(=<<) :: (a -> (t <:.> u) b) -> (t <:.> u) a -> (t <:.> u) b

Monoidal (-->) (-->) (:*:) (:*:) t => Liftable ((->) :: Type -> Type -> Type) (TU Covariant Covariant t :: (Type -> Type) -> Type -> Type)

Defined in Pandora.Paradigm.Schemes.TU

Methods

lift :: Covariant (->) (->) u => u a -> TU Covariant Covariant t u a

Monoidal (<--) (-->) (:*:) (:*:) t => Lowerable ((->) :: Type -> Type -> Type) (TU Covariant Covariant t :: (Type -> Type) -> Type -> Type)

Defined in Pandora.Paradigm.Schemes.TU

Methods

lower :: Covariant (->) (->) u => TU Covariant Covariant t u a -> u a

Interpreted ((->) :: Type -> Type -> Type) (TU ct cu t u)

Defined in Pandora.Paradigm.Schemes.TU

Associated Types

type Primary (TU ct cu t u) a

Methods

run :: TU ct cu t u a -> Primary (TU ct cu t u) a

unite :: Primary (TU ct cu t u) a -> TU ct cu t u a

(!) :: TU ct cu t u a -> Primary (TU ct cu t u) a

(||=) :: (Semigroupoid (->), Interpreted (->) u0) => (Primary (TU ct cu t u) a -> Primary u0 b) -> TU ct cu t u a -> u0 b

(=||) :: (Semigroupoid (->), Interpreted (->) u0) => (TU ct cu t u a -> u0 b) -> Primary (TU ct cu t u) a -> Primary u0 b

(<$||=) :: (Semigroupoid (->), Covariant (->) (->) j, Interpreted (->) u0) => (Primary (TU ct cu t u) a -> Primary u0 b) -> (j := TU ct cu t u a) -> (j := u0 b)

(=||$>) :: (Covariant (->) (->) j, Interpreted (->) u0) => (TU ct cu t u a -> u0 b) -> (j := Primary (TU ct cu t u) a) -> (j := Primary u0 b)

type Nonempty Rose

Defined in Pandora.Paradigm.Structure.Some.Rose

type Nonempty Rose = Construction List

type Morphing ('Lookup ('Key :: a -> Morph a) :: Morph (a -> Morph a)) (Prefixed Rose k)

Defined in Pandora.Paradigm.Structure.Some.Rose

type Morphing ('Lookup ('Key :: a -> Morph a) :: Morph (a -> Morph a)) (Prefixed Rose k) = ((->) (Nonempty List k) :: Type -> Type) <:.> Maybe

type Primary (TU ct cu t u) a

Defined in Pandora.Paradigm.Schemes.TU

type Primary (TU ct cu t u) a = (t :. u) := a

type (<:.>) = TU Covariant Covariant infixr 3

type (>:.>) = TU Contravariant Covariant infixr 3

type (<:.<) = TU Covariant Contravariant infixr 3

type (>:.<) = TU Contravariant Contravariant infixr 3