Pandora.Pattern.Functor.Covariant

Documentation

class (Semigroupoid source, Semigroupoid target) => Covariant t source target where

When providing a new instance, you should ensure it satisfies:
* Identity morphism: comap identity ≡ identity
* Interpreted of morphisms: comap (f . g) ≡ comap f . comap g

Methods

(-<$>-) :: source a b -> target (t a) (t b) infixl 4

Instances

Stack List

Defined in Pandora.Paradigm.Structure.Some.List

Measurable 'Length List

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Measural 'Length List a

Methods

measurement :: Tagged 'Length (List a) -> Measural 'Length List a

Measurable 'Heighth Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Measural 'Heighth Binary a

Methods

measurement :: Tagged 'Heighth (Binary a) -> Measural 'Heighth Binary a

Covariant Wye ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Wye

Methods

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

Covariant Identity ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Identity

Methods

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

Covariant Edges ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Edges

Methods

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

Covariant Maybe ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

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

Covariant Biforked ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Structure.Some.Binary

Methods

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

Monotonic a ((t :. Construction t) := a) => Monotonic a ((t <:.> Construction t) := a)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

reduce :: (a -> r -> r) -> r -> ((t <:.> Construction t) := a) -> r

resolve :: (a -> r) -> r -> ((t <:.> Construction t) := a) -> r

Semigroup (List a)

Defined in Pandora.Paradigm.Structure.Some.List

Methods

(+) :: List a -> List a -> List a

Monoid (List a)

Defined in Pandora.Paradigm.Structure.Some.List

Methods

zero :: List a

Setoid a => Setoid (List a)

Defined in Pandora.Paradigm.Structure.Some.List

Methods

(==) :: List a -> List a -> Boolean

(!=) :: List a -> List a -> Boolean

Nullable List

Defined in Pandora.Paradigm.Structure.Some.List

Methods

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

Nullable Rose

Defined in Pandora.Paradigm.Structure.Some.Rose

Methods

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

Nullable Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

Methods

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

(Pointable u ((->) :: Type -> Type -> Type), Bindable u ((->) :: Type -> Type -> Type)) => Catchable e (Conclusion e <.:> u :: Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Conclusion

Methods

catch :: forall (a :: k). (Conclusion e <.:> u) a -> (e -> (Conclusion e <.:> u) a) -> (Conclusion e <.:> u) a

Semimonoidal t ((->) :: Type -> Type -> Type) (:*:) (:*:) => Semimonoidal (Tap ((t <:.:> t) := (:*:)) :: Type -> Type) ((->) :: Type -> Type -> Type) (:*:) (:*:)

Defined in Pandora.Paradigm.Primary.Transformer.Tap

Methods

multiply_ :: forall (a :: k) (b :: k). (Tap ((t <:.:> t) := (:*:)) a :*: Tap ((t <:.:> t) := (:*:)) b) -> Tap ((t <:.:> t) := (:*:)) (a :*: b)

Semimonoidal (Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:))) ((->) :: Type -> Type -> Type) (:*:) (:*:)

Defined in Pandora.Paradigm.Structure.Some.List

Methods

multiply_ :: forall (a :: k) (b :: k). (Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) a :*: Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) b) -> Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) (a :*: b)

Extendable (Tap ((Stream <:.:> Stream) := (:*:))) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Structure.Some.Stream

Methods

(<<=) :: (Tap ((Stream <:.:> Stream) := (:*:)) a -> b) -> Tap ((Stream <:.:> Stream) := (:*:)) a -> Tap ((Stream <:.:> Stream) := (:*:)) b

Extendable (Tap ((List <:.:> List) := (:*:))) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Structure.Some.List

Methods

(<<=) :: (Tap ((List <:.:> List) := (:*:)) a -> b) -> Tap ((List <:.:> List) := (:*:)) a -> Tap ((List <:.:> List) := (:*:)) b

Morphable ('Into (Tap ((List <:.:> List) := (:*:)))) List

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) List :: Type -> Type

Methods

morphing :: (Tagged ('Into (Tap ((List <:.:> List) := (:*:)))) <:.> List) ~> Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) List

Morphable ('Delete ('All :: a -> Occurrence a) :: Morph (a -> Occurrence a)) List

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Delete 'All) List :: Type -> Type

Methods

morphing :: (Tagged ('Delete 'All) <:.> List) ~> Morphing ('Delete 'All) List

Morphable ('Delete ('First :: a -> Occurrence a) :: Morph (a -> Occurrence a)) List

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Delete 'First) List :: Type -> Type

Methods

morphing :: (Tagged ('Delete 'First) <:.> List) ~> Morphing ('Delete 'First) List

Morphable ('Find ('Element :: a -> Morph a) :: Morph (a -> Morph a)) List

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Find 'Element) List :: Type -> Type

Methods

morphing :: (Tagged ('Find 'Element) <:.> List) ~> Morphing ('Find 'Element) List

Morphable ('Into (o ds)) (Construction Wye) => Morphable ('Into (o ds) :: Morph a) Binary

Defined in Pandora.Paradigm.Structure

Associated Types

type Morphing ('Into (o ds)) Binary :: Type -> Type

Methods

morphing :: (Tagged ('Into (o ds)) <:.> Binary) ~> Morphing ('Into (o ds)) Binary

Morphable ('Rotate ('Right ('Zig :: a -> Splay a)) :: Morph (Wye (a -> Splay a))) Binary

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

type Morphing ('Rotate ('Right 'Zig)) Binary :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Right 'Zig)) <:.> Binary) ~> Morphing ('Rotate ('Right 'Zig)) Binary

Morphable ('Rotate ('Left ('Zig :: a -> Splay a)) :: Morph (Wye (a -> Splay a))) Binary

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

type Morphing ('Rotate ('Left 'Zig)) Binary :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Left 'Zig)) <:.> Binary) ~> Morphing ('Rotate ('Left 'Zig)) Binary

Morphable ('Rotate ('Right ('Zig ('Zag :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) Binary

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

type Morphing ('Rotate ('Right ('Zig 'Zag))) Binary :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Right ('Zig 'Zag))) <:.> Binary) ~> Morphing ('Rotate ('Right ('Zig 'Zag))) Binary

Morphable ('Rotate ('Left ('Zig ('Zag :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) Binary

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

type Morphing ('Rotate ('Left ('Zig 'Zag))) Binary :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Left ('Zig 'Zag))) <:.> Binary) ~> Morphing ('Rotate ('Left ('Zig 'Zag))) Binary

Morphable ('Rotate ('Right ('Zig ('Zig :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) Binary

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

type Morphing ('Rotate ('Right ('Zig 'Zig))) Binary :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Right ('Zig 'Zig))) <:.> Binary) ~> Morphing ('Rotate ('Right ('Zig 'Zig))) Binary

Morphable ('Rotate ('Left ('Zig ('Zig :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) Binary

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

type Morphing ('Rotate ('Left ('Zig 'Zig))) Binary :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Left ('Zig 'Zig))) <:.> Binary) ~> Morphing ('Rotate ('Left ('Zig 'Zig))) Binary

Morphable ('Into (Construction Maybe)) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into (Construction Maybe)) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Into (Construction Maybe)) <:.> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) ~> Morphing ('Into (Construction Maybe)) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Morphable ('Into (Comprehension Maybe)) (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into (Comprehension Maybe)) (Tap ((List <:.:> List) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Into (Comprehension Maybe)) <:.> Tap ((List <:.:> List) := (:*:))) ~> Morphing ('Into (Comprehension Maybe)) (Tap ((List <:.:> List) := (:*:)))

Morphable ('Into (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))) (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))) (Tap ((List <:.:> List) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Into (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))) <:.> Tap ((List <:.:> List) := (:*:))) ~> Morphing ('Into (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))) (Tap ((List <:.:> List) := (:*:)))

Morphable ('Into (Tap ((List <:.:> List) := (:*:)))) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) (Construction Maybe) :: Type -> Type

Methods

morphing :: (Tagged ('Into (Tap ((List <:.:> List) := (:*:)))) <:.> Construction Maybe) ~> Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) (Construction Maybe)

Morphable ('Into (Tap ((List <:.:> List) := (:*:)))) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Into (Tap ((List <:.:> List) := (:*:)))) <:.> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) ~> Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Morphable ('Into List) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into List) (Construction Maybe) :: Type -> Type

Methods

morphing :: (Tagged ('Into List) <:.> Construction Maybe) ~> Morphing ('Into List) (Construction Maybe)

Morphable ('Into List) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into List) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Into List) <:.> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) ~> Morphing ('Into List) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Morphable ('Into List) (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into List) (Tap ((List <:.:> List) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Into List) <:.> Tap ((List <:.:> List) := (:*:))) ~> Morphing ('Into List) (Tap ((List <:.:> List) := (:*:)))

Morphable ('Into List) (Vector r)

Defined in Pandora.Paradigm.Primary.Linear.Vector

Associated Types

type Morphing ('Into List) (Vector r) :: Type -> Type

Methods

morphing :: (Tagged ('Into List) <:.> Vector r) ~> Morphing ('Into List) (Vector r)

Morphable ('Into Binary) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Into Binary) (Construction Wye) :: Type -> Type

Methods

morphing :: (Tagged ('Into Binary) <:.> Construction Wye) ~> Morphing ('Into Binary) (Construction Wye)

Morphable ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((Stream <:.:> Stream) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.Stream

Associated Types

type Morphing ('Rotate 'Right) (Tap ((Stream <:.:> Stream) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Right) <:.> Tap ((Stream <:.:> Stream) := (:*:))) ~> Morphing ('Rotate 'Right) (Tap ((Stream <:.:> Stream) := (:*:)))

Morphable ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((Stream <:.:> Stream) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.Stream

Associated Types

type Morphing ('Rotate 'Left) (Tap ((Stream <:.:> Stream) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Left) <:.> Tap ((Stream <:.:> Stream) := (:*:))) ~> Morphing ('Rotate 'Left) (Tap ((Stream <:.:> Stream) := (:*:)))

Morphable ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Rotate 'Right) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Right) <:.> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) ~> Morphing ('Rotate 'Right) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Morphable ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Rotate 'Left) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Left) <:.> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) ~> Morphing ('Rotate 'Left) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Morphable ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Rotate 'Right) (Tap ((List <:.:> List) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Right) <:.> Tap ((List <:.:> List) := (:*:))) ~> Morphing ('Rotate 'Right) (Tap ((List <:.:> List) := (:*:)))

Morphable ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Rotate 'Left) (Tap ((List <:.:> List) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Left) <:.> Tap ((List <:.:> List) := (:*:))) ~> Morphing ('Rotate 'Left) (Tap ((List <:.:> List) := (:*:)))

Covariant (Proxy :: Type -> Type) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Proxy

Methods

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

Covariant ((:+:) s) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Algebraic.Sum

Methods

(-<$>-) :: (a -> b) -> (s :+: a) -> (s :+: b)

Covariant (Yoneda t) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Transformer.Yoneda

Methods

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

Covariant (Outline t) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Transformer.Outline

Methods

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

Covariant ((:*:) s) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Algebraic.Product

Methods

(-<$>-) :: (a -> b) -> (s :*: a) -> (s :*: b)

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

Defined in Pandora.Paradigm.Primary.Transformer.Jack

Methods

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

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

Covariant (These e) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.These

Methods

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

Covariant (Validation e) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Validation

Methods

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

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

Defined in Pandora.Paradigm.Primary.Transformer.Jet

Methods

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

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

Defined in Pandora.Paradigm.Primary.Transformer.Instruction

Methods

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

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

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

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

Covariant (Conclusion e) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Conclusion

Methods

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

Covariant (t <:.> Construction t) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) => Covariant (Comprehension t) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Structure.Modification.Comprehension

Methods

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

Covariant (Store s) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Inventory.Store

Methods

(-<$>-) :: (a -> b) -> Store s a -> Store s b

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

Defined in Pandora.Paradigm.Primary.Transformer.Tap

Methods

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

Covariant (State s) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Inventory.State

Methods

(-<$>-) :: (a -> b) -> State s a -> State s b

Covariant (Imprint e) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Inventory.Imprint

Methods

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

Covariant (Equipment e) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Inventory.Equipment

Methods

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

Covariant (Environment e) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Inventory.Environment

Methods

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

Covariant (Accumulator e) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Inventory.Accumulator

Methods

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

Traversable t ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) => Traversable (Tap ((t <:.:> t) := (:*:))) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Transformer.Tap

Methods

(<<-) :: (Covariant u (->) (->), Pointable u (->), Semimonoidal u (->) (:*:) (:*:)) => (a -> u b) -> Tap ((t <:.:> t) := (:*:)) a -> u (Tap ((t <:.:> t) := (:*:)) b)

Traversable (Tap ((List <:.:> List) := (:*:))) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Structure.Some.List

Methods

(<<-) :: (Covariant u (->) (->), Pointable u (->), Semimonoidal u (->) (:*:) (:*:)) => (a -> u b) -> Tap ((List <:.:> List) := (:*:)) a -> u (Tap ((List <:.:> List) := (:*:)) b)

Setoid key => Morphable ('Lookup ('Key :: a -> Morph a) :: Morph (a -> Morph a)) (Prefixed List key)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Lookup 'Key) (Prefixed List key) :: Type -> Type

Methods

morphing :: (Tagged ('Lookup 'Key) <:.> Prefixed List key) ~> Morphing ('Lookup 'Key) (Prefixed List key)

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)

Chain k => Morphable ('Vary ('Element :: a -> Morph a) :: Morph (a -> Morph a)) (Prefixed Binary k)

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Vary 'Element) (Prefixed Binary k) :: Type -> Type

Methods

morphing :: (Tagged ('Vary 'Element) <:.> Prefixed Binary k) ~> Morphing ('Vary 'Element) (Prefixed Binary k)

Chain k => Morphable ('Lookup ('Key :: a -> Morph a) :: Morph (a -> Morph a)) (Prefixed Binary k)

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

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

Methods

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

Morphable ('Into Wye) ((Maybe <:.:> Maybe) := (:*:))

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into Wye) ((Maybe <:.:> Maybe) := (:*:)) :: Type -> Type

Methods

morphing :: (Tagged ('Into Wye) <:.> ((Maybe <:.:> Maybe) := (:*:))) ~> Morphing ('Into Wye) ((Maybe <:.:> Maybe) := (:*:))

Morphable ('Rotate ('Up :: a -> Vertical a) :: Morph (a -> Vertical a)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Rotate 'Up) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Up) <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))) ~> Morphing ('Rotate 'Up) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Morphable ('Rotate ('Down ('Right :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Rotate ('Down 'Right)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Down 'Right)) <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))) ~> Morphing ('Rotate ('Down 'Right)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Morphable ('Rotate ('Down ('Left :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Rotate ('Down 'Left)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Down 'Left)) <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))) ~> Morphing ('Rotate ('Down 'Left)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

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

Defined in Pandora.Paradigm.Primary.Algebraic.Product

Methods

multiply_ :: forall (a :: k) (b :: k). (((t <:.:> t) := (:*:)) a :*: ((t <:.:> t) := (:*:)) b) -> ((t <:.:> t) := (:*:)) (a :*: b)

(Covariant t ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Covariant t' ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Covariant u ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Semimonoidal t ((->) :: Type -> Type -> Type) (:*:) (:*:), Semimonoidal u ((->) :: Type -> Type -> Type) (:*:) (:*:), Semimonoidal t' ((->) :: Type -> Type -> Type) (:*:) (:*:)) => Semimonoidal ((t <:<.>:> t') := u :: Type -> Type) ((->) :: Type -> Type -> Type) (:*:) (:*:)

Defined in Pandora.Paradigm.Schemes.TUT

Methods

multiply_ :: forall (a :: k) (b :: k). (((t <:<.>:> t') := u) a :*: ((t <:<.>:> t') := u) b) -> ((t <:<.>:> t') := u) (a :*: b)

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

Defined in Pandora.Paradigm.Schemes.UT

Methods

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

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

Defined in Pandora.Paradigm.Schemes.TU

Methods

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

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

Defined in Pandora.Paradigm.Schemes.TU

Methods

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

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

Morphable ('Pop :: a -> Morph a) List

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing 'Pop List :: Type -> Type

Methods

morphing :: (Tagged 'Pop <:.> List) ~> Morphing 'Pop List

Morphable ('Push :: a -> Morph a) List

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing 'Push List :: Type -> Type

Methods

morphing :: (Tagged 'Push <:.> List) ~> Morphing 'Push List

Morphable ('Insert :: a -> Morph a) Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing 'Insert Binary :: Type -> Type

Methods

morphing :: (Tagged 'Insert <:.> Binary) ~> Morphing 'Insert Binary

Substructure ('Tail :: a -> Segment a) List

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Available 'Tail List :: Type -> Type

type Substance 'Tail List :: Type -> Type

Methods

substructure :: ((Tagged 'Tail <:.> List) #=@ Substance 'Tail List) := Available 'Tail List

sub :: (List #=@ Substance 'Tail List) := Available 'Tail List

Substructure ('Root :: a -> Segment a) List

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Available 'Root List :: Type -> Type

type Substance 'Root List :: Type -> Type

Methods

substructure :: ((Tagged 'Root <:.> List) #=@ Substance 'Root List) := Available 'Root List

sub :: (List #=@ Substance 'Root List) := Available 'Root List

Substructure ('Right :: a -> Wye a) Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Available 'Right Binary :: Type -> Type

type Substance 'Right Binary :: Type -> Type

Methods

substructure :: ((Tagged 'Right <:.> Binary) #=@ Substance 'Right Binary) := Available 'Right Binary

sub :: (Binary #=@ Substance 'Right Binary) := Available 'Right Binary

Substructure ('Left :: a -> Wye a) Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Available 'Left Binary :: Type -> Type

type Substance 'Left Binary :: Type -> Type

Methods

substructure :: ((Tagged 'Left <:.> Binary) #=@ Substance 'Left Binary) := Available 'Left Binary

sub :: (Binary #=@ Substance 'Left Binary) := Available 'Left Binary

Covariant t ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) => Substructure ('Right :: a -> Wye a) (Tap ((t <:.:> t) := (:*:)))

Defined in Pandora.Paradigm.Primary.Transformer.Tap

Associated Types

type Available 'Right (Tap ((t <:.:> t) := (:*:))) :: Type -> Type

type Substance 'Right (Tap ((t <:.:> t) := (:*:))) :: Type -> Type

Methods

substructure :: ((Tagged 'Right <:.> Tap ((t <:.:> t) := (:*:))) #=@ Substance 'Right (Tap ((t <:.:> t) := (:*:)))) := Available 'Right (Tap ((t <:.:> t) := (:*:)))

sub :: (Tap ((t <:.:> t) := (:*:)) #=@ Substance 'Right (Tap ((t <:.:> t) := (:*:)))) := Available 'Right (Tap ((t <:.:> t) := (:*:)))

Covariant t ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) => Substructure ('Left :: a -> Wye a) (Tap ((t <:.:> t) := (:*:)))

Defined in Pandora.Paradigm.Primary.Transformer.Tap

Associated Types

type Available 'Left (Tap ((t <:.:> t) := (:*:))) :: Type -> Type

type Substance 'Left (Tap ((t <:.:> t) := (:*:))) :: Type -> Type

Methods

substructure :: ((Tagged 'Left <:.> Tap ((t <:.:> t) := (:*:))) #=@ Substance 'Left (Tap ((t <:.:> t) := (:*:)))) := Available 'Left (Tap ((t <:.:> t) := (:*:)))

sub :: (Tap ((t <:.:> t) := (:*:)) #=@ Substance 'Left (Tap ((t <:.:> t) := (:*:)))) := Available 'Left (Tap ((t <:.:> t) := (:*:)))

Covariant t ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) => Substructure ('Root :: a -> Segment a) (Tap ((t <:.:> t) := (:*:)))

Defined in Pandora.Paradigm.Primary.Transformer.Tap

Associated Types

type Available 'Root (Tap ((t <:.:> t) := (:*:))) :: Type -> Type

type Substance 'Root (Tap ((t <:.:> t) := (:*:))) :: Type -> Type

Methods

substructure :: ((Tagged 'Root <:.> Tap ((t <:.:> t) := (:*:))) #=@ Substance 'Root (Tap ((t <:.:> t) := (:*:)))) := Available 'Root (Tap ((t <:.:> t) := (:*:)))

sub :: (Tap ((t <:.:> t) := (:*:)) #=@ Substance 'Root (Tap ((t <:.:> t) := (:*:)))) := Available 'Root (Tap ((t <:.:> t) := (:*:)))

Substructure ('Tail :: a -> Segment a) (Construction List)

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

type Available 'Tail (Construction List) :: Type -> Type

type Substance 'Tail (Construction List) :: Type -> Type

Methods

substructure :: ((Tagged 'Tail <:.> Construction List) #=@ Substance 'Tail (Construction List)) := Available 'Tail (Construction List)

sub :: (Construction List #=@ Substance 'Tail (Construction List)) := Available 'Tail (Construction List)

Substructure ('Root :: a -> Segment a) (Construction List)

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

type Available 'Root (Construction List) :: Type -> Type

type Substance 'Root (Construction List) :: Type -> Type

Methods

substructure :: ((Tagged 'Root <:.> Construction List) #=@ Substance 'Root (Construction List)) := Available 'Root (Construction List)

sub :: (Construction List #=@ Substance 'Root (Construction List)) := Available 'Root (Construction List)

Covariant t ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) => Substructure ('Right :: a -> Wye a) ((t <:.:> t) := (:*:))

Defined in Pandora.Paradigm.Structure

Associated Types

type Available 'Right ((t <:.:> t) := (:*:)) :: Type -> Type

type Substance 'Right ((t <:.:> t) := (:*:)) :: Type -> Type

Methods

substructure :: ((Tagged 'Right <:.> ((t <:.:> t) := (:*:))) #=@ Substance 'Right ((t <:.:> t) := (:*:))) := Available 'Right ((t <:.:> t) := (:*:))

sub :: (((t <:.:> t) := (:*:)) #=@ Substance 'Right ((t <:.:> t) := (:*:))) := Available 'Right ((t <:.:> t) := (:*:))

Covariant t ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) => Substructure ('Left :: a -> Wye a) ((t <:.:> t) := (:*:))

Defined in Pandora.Paradigm.Structure

Associated Types

type Available 'Left ((t <:.:> t) := (:*:)) :: Type -> Type

type Substance 'Left ((t <:.:> t) := (:*:)) :: Type -> Type

Methods

substructure :: ((Tagged 'Left <:.> ((t <:.:> t) := (:*:))) #=@ Substance 'Left ((t <:.:> t) := (:*:))) := Available 'Left ((t <:.:> t) := (:*:))

sub :: (((t <:.:> t) := (:*:)) #=@ Substance 'Left ((t <:.:> t) := (:*:))) := Available 'Left ((t <:.:> t) := (:*:))

Covariant (Flip (Constant :: Type -> Type -> Type) b) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Constant

Methods

(-<$>-) :: (a -> b0) -> Flip Constant b a -> Flip Constant b b0

Covariant (Flip (:+:) a) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Algebraic.Sum

Methods

(-<$>-) :: (a0 -> b) -> Flip (:+:) a a0 -> Flip (:+:) a b

Covariant (Flip (:*:) a) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Algebraic.Product

Methods

(-<$>-) :: (a0 -> b) -> Flip (:*:) a a0 -> Flip (:*:) a b

Covariant (Flip (Tagged :: Type -> Type -> Type) a) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Tagged

Methods

(-<$>-) :: (a0 -> b) -> Flip Tagged a a0 -> Flip Tagged a b

Covariant (Flip Validation a) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Validation

Methods

(-<$>-) :: (a0 -> b) -> Flip Validation a a0 -> Flip Validation a b

Covariant (Flip Conclusion e) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Conclusion

Methods

(-<$>-) :: (a -> b) -> Flip Conclusion e a -> Flip Conclusion e b

Covariant (Constant a :: Type -> Type) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Constant

Methods

(-<$>-) :: (a0 -> b) -> Constant a a0 -> Constant a b

Covariant (Tagged tag) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Tagged

Methods

(-<$>-) :: (a -> b) -> Tagged tag a -> Tagged tag b

Covariant (Schematic Monad t u) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) => Covariant (t :> u) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Controlflow.Effect.Transformer.Monadic

Methods

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

Covariant (Day t u) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Transformer.Day

Methods

(-<$>-) :: (a -> b) -> Day t u a -> Day t u b

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

Defined in Pandora.Paradigm.Primary.Transformer.Backwards

Methods

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

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

Defined in Pandora.Paradigm.Primary.Transformer.Reverse

Methods

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

Covariant (Schematic Comonad t u) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) => Covariant (t :< u) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Controlflow.Effect.Transformer.Comonadic

Methods

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

Covariant t ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) => Covariant (Prefixed t k) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Structure.Modification.Prefixed

Methods

(-<$>-) :: (a -> b) -> Prefixed t k a -> Prefixed t k b

Covariant ((->) a :: Type -> Type) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Algebraic.Exponential

Methods

(-<$>-) :: (a0 -> b) -> (a -> a0) -> (a -> b)

Covariant t ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) => Covariant (Continuation r t) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Transformer.Continuation

Methods

(-<$>-) :: (a -> b) -> Continuation r t a -> Continuation r t b

(Covariant t ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Covariant t' ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Pointable u ((->) :: Type -> Type -> Type), Adjoint t' t ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)) => Pointable ((t <:<.>:> t') := u) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Schemes.TUT

Methods

point :: a -> ((t <:<.>:> t') := u) a

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

Defined in Pandora.Paradigm.Schemes.UT

Methods

point :: a -> (t <.:> u) a

(Pointable u ((->) :: Type -> Type -> Type), Monoid e) => Pointable ((:*:) e <.:> u) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Inventory.Accumulator

Methods

point :: a -> ((:*:) e <.:> u) a

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

Defined in Pandora.Paradigm.Schemes.TU

Methods

point :: a -> (t <:.> u) a

(Covariant t ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Covariant t' ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Adjoint t t' ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Extractable u ((->) :: Type -> Type -> Type)) => Extractable ((t <:<.>:> t') := u) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Schemes.TUT

Methods

extract :: ((t <:<.>:> t') := u) a -> a

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

Defined in Pandora.Paradigm.Schemes.UT

Methods

extract :: (t <.:> u) a -> a

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

Defined in Pandora.Paradigm.Schemes.TU

Methods

extract :: (t <:.> u) a -> a

(Adjoint t' t ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Extendable u ((->) :: Type -> Type -> Type)) => Extendable ((t' <:<.>:> t) := u) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Schemes.TUT

Methods

(<<=) :: (((t' <:<.>:> t) := u) a -> b) -> ((t' <:<.>:> t) := u) a -> ((t' <:<.>:> t) := u) b

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

Defined in Pandora.Paradigm.Inventory.Imprint

Methods

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

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

Defined in Pandora.Paradigm.Inventory.Equipment

Methods

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

(Traversable t ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Bindable t ((->) :: Type -> Type -> Type), Semimonoidal u ((->) :: Type -> Type -> Type) (:*:) (:*:), Pointable u ((->) :: Type -> Type -> Type), Bindable u ((->) :: Type -> Type -> Type)) => Bindable (t <.:> u) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Schemes.UT

Methods

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

(Semigroup e, Pointable u ((->) :: Type -> Type -> Type), Bindable u ((->) :: Type -> Type -> Type)) => Bindable ((:*:) e <.:> u) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Inventory.Accumulator

Methods

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

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

Defined in Pandora.Paradigm.Schemes.TU

Methods

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

(Divariant p ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Contravariant t ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Covariant u ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)) => Covariant ((t >:.:> u) := p) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Schemes.T_U

Methods

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

(forall i. Covariant (p i) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Bivariant p ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Covariant t ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Covariant u ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)) => Covariant ((t <:.:> u) := p) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Schemes.T_U

Methods

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

(Covariant t ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Covariant t' ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Covariant u ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)) => Covariant ((t <:<.>:> t') := u) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Schemes.TUT

Methods

(-<$>-) :: (a -> b) -> ((t <:<.>:> t') := u) a -> ((t <:<.>:> t') := u) b

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

Defined in Pandora.Paradigm.Schemes.UT

Methods

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

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

Defined in Pandora.Paradigm.Schemes.TU

Methods

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

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

Defined in Pandora.Paradigm.Schemes.TU

Methods

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

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

Defined in Pandora.Paradigm.Schemes

Methods

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

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

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

Defined in Pandora.Paradigm.Schemes

Methods

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

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

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

Defined in Pandora.Paradigm.Schemes

Methods

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

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

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

Defined in Pandora.Paradigm.Schemes

Methods

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

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

(Adjoint t' t ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Distributive t ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)) => Liftable (t <:<.>:> t')

Defined in Pandora.Paradigm.Schemes.TUT

Methods

lift :: forall (u :: Type -> Type). Covariant u (->) (->) => u ~> (t <:<.>:> t') u

(Adjoint t t' ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Distributive t' ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)) => Lowerable (t <:<.>:> t')

Defined in Pandora.Paradigm.Schemes.TUT

Methods

lower :: forall (u :: Type -> Type). Covariant u (->) (->) => (t <:<.>:> t') u ~> u

Covariant (Kan ('Right :: Type -> Wye Type) t u b) ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Transformer.Kan

Methods

(-<$>-) :: (a -> b0) -> Kan 'Right t u b a -> Kan 'Right t u b b0

(Covariant ((t <:<.>:> u) t') ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Covariant ((v <:<.>:> w) v') ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Adjoint t w ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Adjoint t' v' ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Adjoint t v ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Adjoint u v ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type), Adjoint v' t' ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)) => Adjoint ((t <:<.>:> u) t') ((v <:<.>:> w) v') ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Schemes

Methods

(-|) :: ((t <:<.>:> u) t' a -> b) -> a -> (v <:<.>:> w) v' b

(|-) :: (a -> (v <:<.>:> w) v' b) -> (t <:<.>:> u) t' a -> b

Pointable t ((->) :: Type -> Type -> Type) => Liftable (UT Covariant Covariant t)

Defined in Pandora.Paradigm.Schemes.UT

Methods

lift :: forall (u :: Type -> Type). Covariant u (->) (->) => u ~> UT Covariant Covariant t u

Pointable t ((->) :: Type -> Type -> Type) => Liftable (TU Covariant Covariant t :: (Type -> Type) -> Type -> Type)

Defined in Pandora.Paradigm.Schemes.TU

Methods

lift :: forall (u :: Type -> Type). Covariant u (->) (->) => u ~> TU Covariant Covariant t u

Extractable t ((->) :: Type -> Type -> Type) => Lowerable (UT Covariant Covariant t)

Defined in Pandora.Paradigm.Schemes.UT

Methods

lower :: forall (u :: Type -> Type). Covariant u (->) (->) => UT Covariant Covariant t u ~> u

Extractable t ((->) :: Type -> Type -> Type) => Lowerable (TU Covariant Covariant t :: (Type -> Type) -> Type -> Type)

Defined in Pandora.Paradigm.Schemes.TU

Methods

lower :: forall (u :: Type -> Type). Covariant u (->) (->) => TU Covariant Covariant t u ~> u

type Nonempty List

Defined in Pandora.Paradigm.Structure.Some.List

type Nonempty List = Construction Maybe

type Nonempty Rose

Defined in Pandora.Paradigm.Structure.Some.Rose

type Nonempty Rose = Construction List

type Nonempty Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

type Nonempty Binary = Construction Wye

type Combinative List

Defined in Pandora.Paradigm.Structure.Some.List

type Combinative List = Comprehension Maybe

type Measural 'Length List a

Defined in Pandora.Paradigm.Structure.Some.List

type Measural 'Length List a = Numerator

type Measural 'Heighth Binary a

Defined in Pandora.Paradigm.Structure.Some.Binary

type Measural 'Heighth Binary a = Numerator

type Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) List

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) List = Maybe <:.> Tap ((List <:.:> List) := (:*:))

type Morphing ('Delete ('All :: a -> Occurrence a) :: Morph (a -> Occurrence a)) List

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Delete ('All :: a -> Occurrence a) :: Morph (a -> Occurrence a)) List = (Predicate <:.:> List) := ((->) :: Type -> Type -> Type)

type Morphing ('Delete ('First :: a -> Occurrence a) :: Morph (a -> Occurrence a)) List

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Delete ('First :: a -> Occurrence a) :: Morph (a -> Occurrence a)) List = (Predicate <:.:> List) := ((->) :: Type -> Type -> Type)

type Morphing ('Find ('Element :: a -> Morph a) :: Morph (a -> Morph a)) List

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Find ('Element :: a -> Morph a) :: Morph (a -> Morph a)) List = (Predicate <:.:> Maybe) := ((->) :: Type -> Type -> Type)

type Morphing ('Into (o ds) :: Morph a) Binary

Defined in Pandora.Paradigm.Structure

type Morphing ('Into (o ds) :: Morph a) Binary = Maybe <:.> Morphing ('Into (o ds)) (Construction Wye)

type Morphing ('Rotate ('Right ('Zig :: a -> Splay a)) :: Morph (Wye (a -> Splay a))) Binary

Defined in Pandora.Paradigm.Structure.Some.Splay

type Morphing ('Rotate ('Right ('Zig :: a -> Splay a)) :: Morph (Wye (a -> Splay a))) Binary = Binary

type Morphing ('Rotate ('Left ('Zig :: a -> Splay a)) :: Morph (Wye (a -> Splay a))) Binary

Defined in Pandora.Paradigm.Structure.Some.Splay

type Morphing ('Rotate ('Left ('Zig :: a -> Splay a)) :: Morph (Wye (a -> Splay a))) Binary = Binary

type Morphing ('Rotate ('Right ('Zig ('Zag :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) Binary

Defined in Pandora.Paradigm.Structure.Some.Splay

type Morphing ('Rotate ('Right ('Zig ('Zag :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) Binary = Binary

type Morphing ('Rotate ('Left ('Zig ('Zag :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) Binary

Defined in Pandora.Paradigm.Structure.Some.Splay

type Morphing ('Rotate ('Left ('Zig ('Zag :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) Binary = Binary

type Morphing ('Rotate ('Right ('Zig ('Zig :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) Binary

Defined in Pandora.Paradigm.Structure.Some.Splay

type Morphing ('Rotate ('Right ('Zig ('Zig :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) Binary = Binary

type Morphing ('Rotate ('Left ('Zig ('Zig :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) Binary

Defined in Pandora.Paradigm.Structure.Some.Splay

type Morphing ('Rotate ('Left ('Zig ('Zig :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) Binary = Binary

type Morphing ('Into (Construction Maybe)) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Into (Construction Maybe)) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) = Construction Maybe

type Morphing ('Into (Comprehension Maybe)) (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Into (Comprehension Maybe)) (Tap ((List <:.:> List) := (:*:))) = Comprehension Maybe

type Morphing ('Into (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))) (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Into (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))) (Tap ((List <:.:> List) := (:*:))) = Maybe <:.> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))

type Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) (Construction Maybe) = Tap ((List <:.:> List) := (:*:))

type Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) = Tap ((List <:.:> List) := (:*:))

type Morphing ('Into List) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Into List) (Construction Maybe) = List

type Morphing ('Into List) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Into List) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) = List

type Morphing ('Into List) (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Into List) (Tap ((List <:.:> List) := (:*:))) = List

type Morphing ('Into List) (Vector r)

Defined in Pandora.Paradigm.Primary.Linear.Vector

type Morphing ('Into List) (Vector r) = List

type Morphing ('Into Binary) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

type Morphing ('Into Binary) (Construction Wye) = Binary

type Morphing ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((Stream <:.:> Stream) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.Stream

type Morphing ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((Stream <:.:> Stream) := (:*:))) = Tap ((Stream <:.:> Stream) := (:*:))

type Morphing ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((Stream <:.:> Stream) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.Stream

type Morphing ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((Stream <:.:> Stream) := (:*:))) = Tap ((Stream <:.:> Stream) := (:*:))

type Morphing ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) = Maybe <:.> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))

type Morphing ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) = Maybe <:.> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))

type Morphing ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((List <:.:> List) := (:*:))) = Maybe <:.> Tap ((List <:.:> List) := (:*:))

type Morphing ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((List <:.:> List) := (:*:))) = Maybe <:.> Tap ((List <:.:> List) := (:*:))

type Morphing ('Lookup ('Key :: a -> Morph a) :: Morph (a -> Morph a)) (Prefixed List key)

Defined in Pandora.Paradigm.Structure.Some.List

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

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 Morphing ('Vary ('Element :: a -> Morph a) :: Morph (a -> Morph a)) (Prefixed Binary k)

Defined in Pandora.Paradigm.Structure.Some.Binary

type Morphing ('Vary ('Element :: a -> Morph a) :: Morph (a -> Morph a)) (Prefixed Binary k) = (((:*:) k <:.> Identity) <:.:> Prefixed Binary k) := ((->) :: Type -> Type -> Type)

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

Defined in Pandora.Paradigm.Structure.Some.Binary

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

type Morphing ('Into Wye) ((Maybe <:.:> Maybe) := (:*:))

Defined in Pandora.Paradigm.Primary

type Morphing ('Into Wye) ((Maybe <:.:> Maybe) := (:*:)) = Wye

type Morphing ('Rotate ('Up :: a -> Vertical a) :: Morph (a -> Vertical a)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

type Morphing ('Rotate ('Up :: a -> Vertical a) :: Morph (a -> Vertical a)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) = Maybe <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

type Morphing ('Rotate ('Down ('Right :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

type Morphing ('Rotate ('Down ('Right :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) = Maybe <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

type Morphing ('Rotate ('Down ('Left :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

type Morphing ('Rotate ('Down ('Left :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) = Maybe <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

type Zipper List (('Left :: a1 -> Wye a1) ::: ('Right :: a2 -> Wye a2) :: k -> k' -> Type)

Defined in Pandora.Paradigm.Structure.Some.List

type Zipper List (('Left :: a1 -> Wye a1) ::: ('Right :: a2 -> Wye a2) :: k -> k' -> Type) = Tap ((List <:.:> List) := (:*:))

type Morphing ('Pop :: a -> Morph a) List

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Pop :: a -> Morph a) List = List

type Morphing ('Push :: a -> Morph a) List

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Push :: a -> Morph a) List = (Identity <:.:> List) := ((->) :: Type -> Type -> Type)

type Morphing ('Insert :: a -> Morph a) Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

type Morphing ('Insert :: a -> Morph a) Binary = (((Identity <:.:> Comparison) := (:*:)) <:.:> Binary) := ((->) :: Type -> Type -> Type)

type Available ('Tail :: a -> Segment a) List

Defined in Pandora.Paradigm.Structure.Some.List

type Available ('Tail :: a -> Segment a) List = Identity

type Available ('Root :: a -> Segment a) List

Defined in Pandora.Paradigm.Structure.Some.List

type Available ('Root :: a -> Segment a) List = Maybe

type Available ('Right :: a -> Wye a) Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

type Available ('Right :: a -> Wye a) Binary = Maybe

type Available ('Left :: a -> Wye a) Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

type Available ('Left :: a -> Wye a) Binary = Maybe

type Substance ('Tail :: a -> Segment a) List

Defined in Pandora.Paradigm.Structure.Some.List

type Substance ('Tail :: a -> Segment a) List = List

type Substance ('Root :: a -> Segment a) List

Defined in Pandora.Paradigm.Structure.Some.List

type Substance ('Root :: a -> Segment a) List = Identity

type Substance ('Right :: a -> Wye a) Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

type Substance ('Right :: a -> Wye a) Binary = Construction Wye

type Substance ('Left :: a -> Wye a) Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

type Substance ('Left :: a -> Wye a) Binary = Construction Wye

type Available ('Right :: a -> Wye a) (Tap ((t <:.:> t) := (:*:)))

Defined in Pandora.Paradigm.Primary.Transformer.Tap

type Available ('Right :: a -> Wye a) (Tap ((t <:.:> t) := (:*:))) = Identity

type Available ('Left :: a -> Wye a) (Tap ((t <:.:> t) := (:*:)))

Defined in Pandora.Paradigm.Primary.Transformer.Tap

type Available ('Left :: a -> Wye a) (Tap ((t <:.:> t) := (:*:))) = Identity

type Available ('Root :: a -> Segment a) (Tap ((t <:.:> t) := (:*:)))

Defined in Pandora.Paradigm.Primary.Transformer.Tap

type Available ('Root :: a -> Segment a) (Tap ((t <:.:> t) := (:*:))) = Identity

type Available ('Tail :: a -> Segment a) (Construction List)

Defined in Pandora.Paradigm.Structure.Some.Rose

type Available ('Tail :: a -> Segment a) (Construction List) = Identity

type Available ('Root :: a -> Segment a) (Construction List)

Defined in Pandora.Paradigm.Structure.Some.Rose

type Available ('Root :: a -> Segment a) (Construction List) = Identity

type Substance ('Right :: a -> Wye a) (Tap ((t <:.:> t) := (:*:)))

Defined in Pandora.Paradigm.Primary.Transformer.Tap

type Substance ('Right :: a -> Wye a) (Tap ((t <:.:> t) := (:*:))) = t

type Substance ('Left :: a -> Wye a) (Tap ((t <:.:> t) := (:*:)))

Defined in Pandora.Paradigm.Primary.Transformer.Tap

type Substance ('Left :: a -> Wye a) (Tap ((t <:.:> t) := (:*:))) = t

type Substance ('Root :: a -> Segment a) (Tap ((t <:.:> t) := (:*:)))

Defined in Pandora.Paradigm.Primary.Transformer.Tap

type Substance ('Root :: a -> Segment a) (Tap ((t <:.:> t) := (:*:))) = Identity

type Substance ('Tail :: a -> Segment a) (Construction List)

Defined in Pandora.Paradigm.Structure.Some.Rose

type Substance ('Tail :: a -> Segment a) (Construction List) = List <:.> Construction List

type Substance ('Root :: a -> Segment a) (Construction List)

Defined in Pandora.Paradigm.Structure.Some.Rose

type Substance ('Root :: a -> Segment a) (Construction List) = Identity

type Available ('Right :: a -> Wye a) ((t <:.:> t) := (:*:))

Defined in Pandora.Paradigm.Structure

type Available ('Right :: a -> Wye a) ((t <:.:> t) := (:*:)) = Identity

type Available ('Left :: a -> Wye a) ((t <:.:> t) := (:*:))

Defined in Pandora.Paradigm.Structure

type Available ('Left :: a -> Wye a) ((t <:.:> t) := (:*:)) = Identity

type Substance ('Right :: a -> Wye a) ((t <:.:> t) := (:*:))

Defined in Pandora.Paradigm.Structure

type Substance ('Right :: a -> Wye a) ((t <:.:> t) := (:*:)) = t

type Substance ('Left :: a -> Wye a) ((t <:.:> t) := (:*:))

Defined in Pandora.Paradigm.Structure

type Substance ('Left :: a -> Wye a) ((t <:.:> t) := (:*:)) = t

(-<$$>-) :: forall t u category a b. (Covariant u category category, Covariant t category category) => category a b -> category (t (u a)) (t (u b))

(-<<$$>-) :: forall t u source target a b. (Covariant u source source, Covariant t source target) => source a b -> target (t (u a)) (t (u b)) infixl 3

(-<$$>>-) :: forall t u source target a b. (Covariant u source target, Covariant t target target) => source a b -> target (t (u a)) (t (u b)) infixl 3

(-<$$$>-) :: forall t u v category a b. (Covariant t category category, Covariant u category category, Covariant v category category) => category a b -> category (t (u (v a))) (t (u (v b)))

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