Pandora.Paradigm.Primary.Functor.Wye

Documentation

data Wye a

Constructors

End

Left a

Right a

Both a a

Instances

Covariant Wye

Defined in Pandora.Paradigm.Primary.Functor.Wye

Methods

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

comap :: (a -> b) -> Wye a -> Wye b

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

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

void :: Wye a -> Wye ()

loeb :: Wye (a <:= Wye) -> Wye a

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

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

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

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

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

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

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

Traversable Wye

Defined in Pandora.Paradigm.Primary.Functor.Wye

Methods

(->>) :: (Pointable u, Applicative u) => Wye a -> (a -> u b) -> (u :. Wye) := b

traverse :: (Pointable u, Applicative u) => (a -> u b) -> Wye a -> (u :. Wye) := b

sequence :: (Pointable u, Applicative u) => ((Wye :. u) := a) -> (u :. Wye) := a

(->>>) :: (Pointable u, Applicative u, Traversable v) => ((v :. Wye) := a) -> (a -> u b) -> (u :. (v :. Wye)) := b

(->>>>) :: (Pointable u, Applicative u, Traversable v, Traversable w) => ((w :. (v :. Wye)) := a) -> (a -> u b) -> (u :. (w :. (v :. Wye))) := b

(->>>>>) :: (Pointable u, Applicative u, Traversable v, Traversable w, Traversable j) => ((j :. (w :. (v :. Wye))) := a) -> (a -> u b) -> (u :. (j :. (w :. (v :. Wye)))) := b

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

Measurable 'Heighth (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Measural 'Heighth (Construction Wye) a

Methods

measurement :: Tagged 'Heighth (Construction Wye a) -> Measural 'Heighth (Construction Wye) a

Monotonic a (Wye a)

Defined in Pandora.Paradigm.Primary.Functor.Wye

Methods

reduce :: (a -> r -> r) -> r -> Wye a -> r

resolve :: (a -> r) -> r -> Wye a -> r

Semigroup a => Semigroup (Wye a)

Defined in Pandora.Paradigm.Primary.Functor.Wye

Methods

(+) :: Wye a -> Wye a -> Wye a

Semigroup a => Monoid (Wye a)

Defined in Pandora.Paradigm.Primary.Functor.Wye

Methods

zero :: Wye a

Nullable Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

Methods

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

(forall a. Chain a) => Focusable ('Root :: Type -> Location Type) Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Focusing 'Root Binary a

Methods

focusing :: Tagged 'Root (Binary a) :-. Focusing 'Root Binary a

Focusable ('Left :: Type -> Wye Type) (Product s)

Defined in Pandora.Paradigm.Structure

Associated Types

type Focusing 'Left (Product s) a

Methods

focusing :: Tagged 'Left (Product s a) :-. Focusing 'Left (Product s) a

Focusable ('Right :: Type -> Wye Type) (Product s)

Defined in Pandora.Paradigm.Structure

Associated Types

type Focusing 'Right (Product s) a

Methods

focusing :: Tagged 'Right (Product s a) :-. Focusing 'Right (Product s) a

Focusable ('Root :: Type -> Location Type) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Focusing 'Root (Construction Wye) a

Methods

focusing :: Tagged 'Root (Construction Wye a) :-. Focusing 'Root (Construction Wye) a

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 ('Into ('Left Maybe)) Wye

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into ('Left Maybe)) Wye :: Type -> Type

Methods

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

Morphable ('Into ('Right Maybe)) Wye

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into ('Right Maybe)) Wye :: Type -> Type

Methods

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

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) := (:*:)))

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

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

Morphable ('Into ('Preorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

Associated Types

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

Methods

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

Morphable ('Into ('Inorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

Associated Types

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

Methods

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

Morphable ('Into ('Postorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

Associated Types

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

Methods

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

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)) := (:*:))

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

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Substructural 'Right Binary :: Type -> Type

Methods

substructure :: (Tagged 'Right <:.> Binary) :~. Substructural 'Right Binary

sub :: Binary :~. Substructural 'Right Binary

subview :: Binary ~> Substructural 'Right Binary

substitute :: (Substructural 'Right Binary a0 -> Substructural 'Right Binary a0) -> Binary a0 -> Binary a0

subplace :: Substructural 'Right Binary a0 -> Binary a0 -> Binary a0

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

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Substructural 'Left Binary :: Type -> Type

Methods

substructure :: (Tagged 'Left <:.> Binary) :~. Substructural 'Left Binary

sub :: Binary :~. Substructural 'Left Binary

subview :: Binary ~> Substructural 'Left Binary

substitute :: (Substructural 'Left Binary a0 -> Substructural 'Left Binary a0) -> Binary a0 -> Binary a0

subplace :: Substructural 'Left Binary a0 -> Binary a0 -> Binary a0

Morphable ('Insert :: a -> Morph a) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing 'Insert (Construction Wye) :: Type -> Type

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Substructural 'Right (Construction Wye) :: Type -> Type

Methods

substructure :: (Tagged 'Right <:.> Construction Wye) :~. Substructural 'Right (Construction Wye)

sub :: Construction Wye :~. Substructural 'Right (Construction Wye)

subview :: Construction Wye ~> Substructural 'Right (Construction Wye)

substitute :: (Substructural 'Right (Construction Wye) a0 -> Substructural 'Right (Construction Wye) a0) -> Construction Wye a0 -> Construction Wye a0

subplace :: Substructural 'Right (Construction Wye) a0 -> Construction Wye a0 -> Construction Wye a0

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

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Substructural 'Left (Construction Wye) :: Type -> Type

Methods

substructure :: (Tagged 'Left <:.> Construction Wye) :~. Substructural 'Left (Construction Wye)

sub :: Construction Wye :~. Substructural 'Left (Construction Wye)

subview :: Construction Wye ~> Substructural 'Left (Construction Wye)

substitute :: (Substructural 'Left (Construction Wye) a0 -> Substructural 'Left (Construction Wye) a0) -> Construction Wye a0 -> Construction Wye a0

subplace :: Substructural 'Left (Construction Wye) a0 -> Construction Wye a0 -> Construction Wye a0

Substructure ('Right :: a -> Wye a) (Product s)

Defined in Pandora.Paradigm.Structure

Associated Types

type Substructural 'Right (Product s) :: Type -> Type

Methods

substructure :: (Tagged 'Right <:.> Product s) :~. Substructural 'Right (Product s)

sub :: Product s :~. Substructural 'Right (Product s)

subview :: Product s ~> Substructural 'Right (Product s)

substitute :: (Substructural 'Right (Product s) a0 -> Substructural 'Right (Product s) a0) -> Product s a0 -> Product s a0

subplace :: Substructural 'Right (Product s) a0 -> Product s a0 -> Product s a0

Contravariant (Kan ('Left :: Type -> Wye Type) t u b)

Defined in Pandora.Paradigm.Primary.Transformer.Kan

Methods

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

contramap :: (a -> b0) -> Kan 'Left t u b b0 -> Kan 'Left t u b a

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

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

full :: Kan 'Left t u b () -> Kan 'Left t u b a

(>&<) :: Kan 'Left t u b b0 -> (a -> b0) -> Kan 'Left t u b a

(>$$<) :: Contravariant u0 => (a -> b0) -> ((Kan 'Left t u b :. u0) := a) -> (Kan 'Left t u b :. u0) := b0

(>$$$<) :: (Contravariant u0, Contravariant v) => (a -> b0) -> ((Kan 'Left t u b :. (u0 :. v)) := b0) -> (Kan 'Left t u b :. (u0 :. v)) := a

(>$$$$<) :: (Contravariant u0, Contravariant v, Contravariant w) => (a -> b0) -> ((Kan 'Left t u b :. (u0 :. (v :. w))) := a) -> (Kan 'Left t u b :. (u0 :. (v :. w))) := b0

(>&&<) :: Contravariant u0 => ((Kan 'Left t u b :. u0) := a) -> (a -> b0) -> (Kan 'Left t u b :. u0) := b0

(>&&&<) :: (Contravariant u0, Contravariant v) => ((Kan 'Left t u b :. (u0 :. v)) := b0) -> (a -> b0) -> (Kan 'Left t u b :. (u0 :. v)) := a

(>&&&&<) :: (Contravariant u0, Contravariant v, Contravariant w) => ((Kan 'Left t u b :. (u0 :. (v :. w))) := a) -> (a -> b0) -> (Kan 'Left t u b :. (u0 :. (v :. w))) := b0

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

Defined in Pandora.Paradigm.Primary.Transformer.Kan

Methods

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

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

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

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

void :: Kan 'Right t u b a -> Kan 'Right t u b ()

loeb :: Kan 'Right t u b (a <:= Kan 'Right t u b) -> Kan 'Right t u b a

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

(<$$>) :: Covariant u0 => (a -> b0) -> ((Kan 'Right t u b :. u0) := a) -> (Kan 'Right t u b :. u0) := b0

(<$$$>) :: (Covariant u0, Covariant v) => (a -> b0) -> ((Kan 'Right t u b :. (u0 :. v)) := a) -> (Kan 'Right t u b :. (u0 :. v)) := b0

(<$$$$>) :: (Covariant u0, Covariant v, Covariant w) => (a -> b0) -> ((Kan 'Right t u b :. (u0 :. (v :. w))) := a) -> (Kan 'Right t u b :. (u0 :. (v :. w))) := b0

(<&&>) :: Covariant u0 => ((Kan 'Right t u b :. u0) := a) -> (a -> b0) -> (Kan 'Right t u b :. u0) := b0

(<&&&>) :: (Covariant u0, Covariant v) => ((Kan 'Right t u b :. (u0 :. v)) := a) -> (a -> b0) -> (Kan 'Right t u b :. (u0 :. v)) := b0

(<&&&&>) :: (Covariant u0, Covariant v, Covariant w) => ((Kan 'Right t u b :. (u0 :. (v :. w))) := a) -> (a -> b0) -> (Kan 'Right t u b :. (u0 :. (v :. w))) := b0

Interpreted (Kan ('Left :: Type -> Wye Type) t u b)

Defined in Pandora.Paradigm.Primary.Transformer.Kan

Associated Types

type Primary (Kan 'Left t u b) a

Methods

run :: Kan 'Left t u b a -> Primary (Kan 'Left t u b) a

unite :: Primary (Kan 'Left t u b) a -> Kan 'Left t u b a

(||=) :: Interpreted u0 => (Primary (Kan 'Left t u b) a -> Primary u0 b0) -> Kan 'Left t u b a -> u0 b0

(=||) :: Interpreted u0 => (Kan 'Left t u b a -> u0 b0) -> Primary (Kan 'Left t u b) a -> Primary u0 b0

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

Defined in Pandora.Paradigm.Primary.Transformer.Kan

Associated Types

type Primary (Kan 'Right t u b) a

Methods

run :: Kan 'Right t u b a -> Primary (Kan 'Right t u b) a

unite :: Primary (Kan 'Right t u b) a -> Kan 'Right t u b a

(||=) :: Interpreted u0 => (Primary (Kan 'Right t u b) a -> Primary u0 b0) -> Kan 'Right t u b a -> u0 b0

(=||) :: Interpreted u0 => (Kan 'Right t u b a -> u0 b0) -> Primary (Kan 'Right t u b) a -> Primary u0 b0

type Nonempty Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

type Nonempty Binary = Construction Wye

type Measural 'Heighth Binary a

Defined in Pandora.Paradigm.Structure.Some.Binary

type Measural 'Heighth Binary a = Numerator

type Measural 'Heighth (Construction Wye) a

Defined in Pandora.Paradigm.Structure.Some.Binary

type Measural 'Heighth (Construction Wye) a = Denumerator

type Zipper (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

type Zipper (Construction Wye) = (Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)

data Kan ('Left :: Type -> Wye Type) t u b a

Defined in Pandora.Paradigm.Primary.Transformer.Kan

data Kan ('Left :: Type -> Wye Type) t u b a = Lan ((t b -> a) -> u b)

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

Defined in Pandora.Paradigm.Primary.Transformer.Kan

data Kan ('Right :: Type -> Wye Type) t u b a = Ran ((a -> t b) -> u b)

type Focusing ('Root :: Type -> Location Type) Binary a

Defined in Pandora.Paradigm.Structure.Some.Binary

type Focusing ('Root :: Type -> Location Type) Binary a = Maybe a

type Focusing ('Left :: Type -> Wye Type) (Product s) a

Defined in Pandora.Paradigm.Structure

type Focusing ('Left :: Type -> Wye Type) (Product s) a = s

type Focusing ('Right :: Type -> Wye Type) (Product s) a

Defined in Pandora.Paradigm.Structure

type Focusing ('Right :: Type -> Wye Type) (Product s) a = a

type Focusing ('Root :: Type -> Location Type) (Construction Wye) a

Defined in Pandora.Paradigm.Structure.Some.Binary

type Focusing ('Root :: Type -> Location Type) (Construction Wye) a = a

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 ('Into ('Left Maybe)) Wye

Defined in Pandora.Paradigm.Primary

type Morphing ('Into ('Left Maybe)) Wye = Maybe

type Morphing ('Into ('Right Maybe)) Wye

Defined in Pandora.Paradigm.Primary

type Morphing ('Into ('Right Maybe)) Wye = Maybe

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 <:.> Zipper (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 <:.> Zipper (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 <:.> Zipper 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 <:.> Zipper List

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

type Morphing ('Into ('Preorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

type Morphing ('Into ('Preorder (Construction Maybe))) (Construction Wye) = Construction Maybe

type Morphing ('Into ('Inorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

type Morphing ('Into ('Inorder (Construction Maybe))) (Construction Wye) = Construction Maybe

type Morphing ('Into ('Postorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

type Morphing ('Into ('Postorder (Construction Maybe))) (Construction Wye) = Construction 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 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 Substructural ('Right :: a -> Wye a) Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

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

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

Defined in Pandora.Paradigm.Structure.Some.Binary

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

type Morphing ('Insert :: a -> Morph a) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

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

type Substructural ('Right :: a -> Wye a) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

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

type Substructural ('Left :: a -> Wye a) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

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

type Substructural ('Right :: a -> Wye a) (Product s)

Defined in Pandora.Paradigm.Structure

type Substructural ('Right :: a -> Wye a) (Product s) = Identity

type Primary (Kan ('Left :: Type -> Wye Type) t u b) a

Defined in Pandora.Paradigm.Primary.Transformer.Kan

type Primary (Kan ('Left :: Type -> Wye Type) t u b) a = (t b -> a) -> u b

type Primary (Kan ('Right :: Type -> Wye Type) t u b) a

Defined in Pandora.Paradigm.Primary.Transformer.Kan

type Primary (Kan ('Right :: Type -> Wye Type) t u b) a = (a -> t b) -> u b

wye :: r -> (a -> r) -> (a -> r) -> (a -> a -> r) -> Wye a -> r

swop :: Wye ~> Wye