Pandora.Paradigm.Schemes.T_U

Documentation

newtype T_U ct cu p t u a

Constructors

T_U (p (t a) (u a))

Instances

Applicative (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Methods

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

apply :: Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) (a -> b) -> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) a -> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) b

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

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

forever :: Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) a -> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) b

(<%>) :: Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) a -> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) (a -> b) -> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) b

(<**>) :: Applicative u => ((Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) :. u) := (a -> b)) -> ((Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) :. u) := a) -> (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) :. u) := b

(<***>) :: (Applicative u, Applicative v) => ((Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) :. (u :. v)) := (a -> b)) -> ((Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) :. (u :. v)) := a) -> (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) :. (u :. v)) := b

(<****>) :: (Applicative u, Applicative v, Applicative w) => ((Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) :. (u :. (v :. w))) := (a -> b)) -> ((Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) :. (u :. (v :. w))) := a) -> (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) :. (u :. (v :. w))) := b

Applicative (Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Methods

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

apply :: Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) (a -> b) -> Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) a -> Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) b

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

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

forever :: Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) a -> Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) b

(<%>) :: Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) a -> Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) (a -> b) -> Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) b

(<**>) :: Applicative u => ((Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) :. u) := (a -> b)) -> ((Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) :. u) := a) -> (Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) :. u) := b

(<***>) :: (Applicative u, Applicative v) => ((Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) :. (u :. v)) := (a -> b)) -> ((Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) :. (u :. v)) := a) -> (Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) :. (u :. v)) := b

(<****>) :: (Applicative u, Applicative v, Applicative w) => ((Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) :. (u :. (v :. w))) := (a -> b)) -> ((Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) :. (u :. (v :. w))) := a) -> (Tap ((Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)) :. (u :. (v :. w))) := b

Applicative (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Methods

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

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

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

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

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

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

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

(<***>) :: (Applicative u, Applicative v) => ((Tap ((List <:.:> List) := (:*:)) :. (u :. v)) := (a -> b)) -> ((Tap ((List <:.:> List) := (:*:)) :. (u :. v)) := a) -> (Tap ((List <:.:> List) := (:*:)) :. (u :. v)) := b

(<****>) :: (Applicative u, Applicative v, Applicative w) => ((Tap ((List <:.:> List) := (:*:)) :. (u :. (v :. w))) := (a -> b)) -> ((Tap ((List <:.:> List) := (:*:)) :. (u :. (v :. w))) := a) -> (Tap ((List <:.:> List) := (:*:)) :. (u :. (v :. w))) := b

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

Defined in Pandora.Paradigm.Structure.Some.Stream

Methods

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

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

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

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

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

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

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

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

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

Defined in Pandora.Paradigm.Structure.Some.List

Methods

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

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

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

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

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

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

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

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

Traversable (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Methods

(->>) :: (Pointable u, Applicative u) => Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) a -> (a -> u b) -> (u :. Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) := b

traverse :: (Pointable u, Applicative u) => (a -> u b) -> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) a -> (u :. Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) := b

sequence :: (Pointable u, Applicative u) => ((Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) :. u) := a) -> (u :. Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) := a

(->>>) :: (Pointable u, Applicative u, Traversable v) => ((v :. Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) := a) -> (a -> u b) -> (u :. (v :. Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))) := b

(->>>>) :: (Pointable u, Applicative u, Traversable v, Traversable w) => ((w :. (v :. Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))) := a) -> (a -> u b) -> (u :. (w :. (v :. Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))))) := b

(->>>>>) :: (Pointable u, Applicative u, Traversable v, Traversable w, Traversable j) => ((j :. (w :. (v :. Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))))) := a) -> (a -> u b) -> (u :. (j :. (w :. (v :. Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))))) := b

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

Defined in Pandora.Paradigm.Structure.Some.List

Methods

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

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

sequence :: (Pointable u, Applicative u) => ((Tap ((List <:.:> List) := (:*:)) :. u) := a) -> (u :. Tap ((List <:.:> List) := (:*:))) := a

(->>>) :: (Pointable u, Applicative u, Traversable v) => ((v :. Tap ((List <:.:> List) := (:*:))) := a) -> (a -> u b) -> (u :. (v :. Tap ((List <:.:> List) := (:*:)))) := b

(->>>>) :: (Pointable u, Applicative u, Traversable v, Traversable w) => ((w :. (v :. Tap ((List <:.:> List) := (:*:)))) := a) -> (a -> u b) -> (u :. (w :. (v :. Tap ((List <:.:> List) := (:*:))))) := b

(->>>>>) :: (Pointable u, Applicative u, Traversable v, Traversable w, Traversable j) => ((j :. (w :. (v :. Tap ((List <:.:> List) := (:*:))))) := a) -> (a -> u b) -> (u :. (j :. (w :. (v :. 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 ('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) := (:*:)))) (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 (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 (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 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 ('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 ('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)) := (:*:))

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

substructure :: (Tagged 'Right <:.> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) :~. Substructural 'Right (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

sub :: Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) :~. Substructural 'Right (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

substructure :: (Tagged 'Left <:.> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) :~. Substructural 'Left (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

sub :: Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) :~. Substructural 'Left (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Substructure ('Root :: a -> Segment a) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Substructural 'Root (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) :: Type -> Type

Methods

substructure :: (Tagged 'Root <:.> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) :~. Substructural 'Root (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

sub :: Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)) :~. Substructural 'Root (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Substructure ('Right :: a -> Wye a) (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

substructure :: (Tagged 'Right <:.> Tap ((List <:.:> List) := (:*:))) :~. Substructural 'Right (Tap ((List <:.:> List) := (:*:)))

sub :: Tap ((List <:.:> List) := (:*:)) :~. Substructural 'Right (Tap ((List <:.:> List) := (:*:)))

Substructure ('Left :: a -> Wye a) (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

substructure :: (Tagged 'Left <:.> Tap ((List <:.:> List) := (:*:))) :~. Substructural 'Left (Tap ((List <:.:> List) := (:*:)))

sub :: Tap ((List <:.:> List) := (:*:)) :~. Substructural 'Left (Tap ((List <:.:> List) := (:*:)))

Substructure ('Root :: a -> Segment a) (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Substructural 'Root (Tap ((List <:.:> List) := (:*:))) :: Type -> Type

Methods

substructure :: (Tagged 'Root <:.> Tap ((List <:.:> List) := (:*:))) :~. Substructural 'Root (Tap ((List <:.:> List) := (:*:)))

sub :: Tap ((List <:.:> List) := (:*:)) :~. Substructural 'Root (Tap ((List <:.:> List) := (:*:)))

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

Defined in Pandora.Paradigm.Schemes.T_U

Methods

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

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

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

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

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

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

(>$$<) :: Contravariant u0 => (a -> b) -> ((((t >:.:< u) := p) :. u0) := a) -> (((t >:.:< u) := p) :. u0) := b

(>$$$<) :: (Contravariant u0, Contravariant v) => (a -> b) -> ((((t >:.:< u) := p) :. (u0 :. v)) := b) -> (((t >:.:< u) := p) :. (u0 :. v)) := a

(>$$$$<) :: (Contravariant u0, Contravariant v, Contravariant w) => (a -> b) -> ((((t >:.:< u) := p) :. (u0 :. (v :. w))) := a) -> (((t >:.:< u) := p) :. (u0 :. (v :. w))) := b

(>&&<) :: Contravariant u0 => ((((t >:.:< u) := p) :. u0) := a) -> (a -> b) -> (((t >:.:< u) := p) :. u0) := b

(>&&&<) :: (Contravariant u0, Contravariant v) => ((((t >:.:< u) := p) :. (u0 :. v)) := b) -> (a -> b) -> (((t >:.:< u) := p) :. (u0 :. v)) := a

(>&&&&<) :: (Contravariant u0, Contravariant v, Contravariant w) => ((((t >:.:< u) := p) :. (u0 :. (v :. w))) := a) -> (a -> b) -> (((t >:.:< u) := p) :. (u0 :. (v :. w))) := b

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

Defined in Pandora.Paradigm.Schemes.T_U

Methods

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

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

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

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

void :: ((t >:.:> u) := p) a -> ((t >:.:> u) := p) ()

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

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

(<$$>) :: Covariant u0 => (a -> b) -> ((((t >:.:> u) := p) :. u0) := a) -> (((t >:.:> u) := p) :. u0) := b

(<$$$>) :: (Covariant u0, Covariant v) => (a -> b) -> ((((t >:.:> u) := p) :. (u0 :. v)) := a) -> (((t >:.:> u) := p) :. (u0 :. v)) := b

(<$$$$>) :: (Covariant u0, Covariant v, Covariant w) => (a -> b) -> ((((t >:.:> u) := p) :. (u0 :. (v :. w))) := a) -> (((t >:.:> u) := p) :. (u0 :. (v :. w))) := b

(<&&>) :: Covariant u0 => ((((t >:.:> u) := p) :. u0) := a) -> (a -> b) -> (((t >:.:> u) := p) :. u0) := b

(<&&&>) :: (Covariant u0, Covariant v) => ((((t >:.:> u) := p) :. (u0 :. v)) := a) -> (a -> b) -> (((t >:.:> u) := p) :. (u0 :. v)) := b

(<&&&&>) :: (Covariant u0, Covariant v, Covariant w) => ((((t >:.:> u) := p) :. (u0 :. (v :. w))) := a) -> (a -> b) -> (((t >:.:> u) := p) :. (u0 :. (v :. w))) := b

(.#..) :: (((t >:.:> u) := p) ~ v a, Category v) => v c d -> ((v a :. v b) := c) -> (v a :. v b) := d

(.#...) :: (((t >:.:> u) := p) ~ v a, ((t >:.:> u) := p) ~ v b, Category v, Covariant (v a), Covariant (v b)) => v d e -> ((v a :. (v b :. v c)) := d) -> (v a :. (v b :. v c)) := e

(.#....) :: (((t >:.:> u) := p) ~ v a, ((t >:.:> u) := p) ~ v b, ((t >:.:> u) := p) ~ v c, Category v, Covariant (v a), Covariant (v b), Covariant (v c)) => v e f -> ((v a :. (v b :. (v c :. v d))) := e) -> (v a :. (v b :. (v c :. v d))) := f

(<$$) :: Covariant u0 => b -> ((((t >:.:> u) := p) :. u0) := a) -> (((t >:.:> u) := p) :. u0) := b

(<$$$) :: (Covariant u0, Covariant v) => b -> ((((t >:.:> u) := p) :. (u0 :. v)) := a) -> (((t >:.:> u) := p) :. (u0 :. v)) := b

(<$$$$) :: (Covariant u0, Covariant v, Covariant w) => b -> ((((t >:.:> u) := p) :. (u0 :. (v :. w))) := a) -> (((t >:.:> u) := p) :. (u0 :. (v :. w))) := b

($$>) :: Covariant u0 => ((((t >:.:> u) := p) :. u0) := a) -> b -> (((t >:.:> u) := p) :. u0) := b

($$$>) :: (Covariant u0, Covariant v) => ((((t >:.:> u) := p) :. (u0 :. v)) := a) -> b -> (((t >:.:> u) := p) :. (u0 :. v)) := b

($$$$>) :: (Covariant u0, Covariant v, Covariant w) => ((((t >:.:> u) := p) :. (u0 :. (v :. w))) := a) -> b -> (((t >:.:> u) := p) :. (u0 :. (v :. w))) := b

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

Defined in Pandora.Paradigm.Schemes.T_U

Methods

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

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

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

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

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

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

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

(<$$>) :: Covariant u0 => (a -> b) -> ((((t <:.:> u) := p) :. u0) := a) -> (((t <:.:> u) := p) :. u0) := b

(<$$$>) :: (Covariant u0, Covariant v) => (a -> b) -> ((((t <:.:> u) := p) :. (u0 :. v)) := a) -> (((t <:.:> u) := p) :. (u0 :. v)) := b

(<$$$$>) :: (Covariant u0, Covariant v, Covariant w) => (a -> b) -> ((((t <:.:> u) := p) :. (u0 :. (v :. w))) := a) -> (((t <:.:> u) := p) :. (u0 :. (v :. w))) := b

(<&&>) :: Covariant u0 => ((((t <:.:> u) := p) :. u0) := a) -> (a -> b) -> (((t <:.:> u) := p) :. u0) := b

(<&&&>) :: (Covariant u0, Covariant v) => ((((t <:.:> u) := p) :. (u0 :. v)) := a) -> (a -> b) -> (((t <:.:> u) := p) :. (u0 :. v)) := b

(<&&&&>) :: (Covariant u0, Covariant v, Covariant w) => ((((t <:.:> u) := p) :. (u0 :. (v :. w))) := a) -> (a -> b) -> (((t <:.:> u) := p) :. (u0 :. (v :. w))) := b

(.#..) :: (((t <:.:> u) := p) ~ v a, Category v) => v c d -> ((v a :. v b) := c) -> (v a :. v b) := d

(.#...) :: (((t <:.:> u) := p) ~ v a, ((t <:.:> u) := p) ~ v b, Category v, Covariant (v a), Covariant (v b)) => v d e -> ((v a :. (v b :. v c)) := d) -> (v a :. (v b :. v c)) := e

(.#....) :: (((t <:.:> u) := p) ~ v a, ((t <:.:> u) := p) ~ v b, ((t <:.:> u) := p) ~ v c, Category v, Covariant (v a), Covariant (v b), Covariant (v c)) => v e f -> ((v a :. (v b :. (v c :. v d))) := e) -> (v a :. (v b :. (v c :. v d))) := f

(<$$) :: Covariant u0 => b -> ((((t <:.:> u) := p) :. u0) := a) -> (((t <:.:> u) := p) :. u0) := b

(<$$$) :: (Covariant u0, Covariant v) => b -> ((((t <:.:> u) := p) :. (u0 :. v)) := a) -> (((t <:.:> u) := p) :. (u0 :. v)) := b

(<$$$$) :: (Covariant u0, Covariant v, Covariant w) => b -> ((((t <:.:> u) := p) :. (u0 :. (v :. w))) := a) -> (((t <:.:> u) := p) :. (u0 :. (v :. w))) := b

($$>) :: Covariant u0 => ((((t <:.:> u) := p) :. u0) := a) -> b -> (((t <:.:> u) := p) :. u0) := b

($$$>) :: (Covariant u0, Covariant v) => ((((t <:.:> u) := p) :. (u0 :. v)) := a) -> b -> (((t <:.:> u) := p) :. (u0 :. v)) := b

($$$$>) :: (Covariant u0, Covariant v, Covariant w) => ((((t <:.:> u) := p) :. (u0 :. (v :. w))) := a) -> b -> (((t <:.:> u) := p) :. (u0 :. (v :. w))) := b

Interpreted (T_U ct cu p t u)

Defined in Pandora.Paradigm.Schemes.T_U

Associated Types

type Primary (T_U ct cu p t u) a

Methods

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

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

(||=) :: Interpreted u0 => (Primary (T_U ct cu p t u) a -> Primary u0 b) -> T_U ct cu p t u a -> u0 b

(=||) :: Interpreted u0 => (T_U ct cu p t u a -> u0 b) -> Primary (T_U ct cu p t u) a -> Primary u0 b

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

(<$$||=) :: (Covariant j, Covariant k, Interpreted u0) => (Primary (T_U ct cu p t u) a -> Primary u0 b) -> ((j :. k) := T_U ct cu p t u a) -> (j :. k) := u0 b

(<$$$||=) :: (Covariant j, Covariant k, Covariant l, Interpreted u0) => (Primary (T_U ct cu p t u) a -> Primary u0 b) -> ((j :. (k :. l)) := T_U ct cu p t u a) -> (j :. (k :. l)) := u0 b

(<$$$$||=) :: (Covariant j, Covariant k, Covariant l, Covariant m, Interpreted u0) => (Primary (T_U ct cu p t u) a -> Primary u0 b) -> ((j :. (k :. (l :. m))) := T_U ct cu p t u a) -> (j :. (k :. (l :. m))) := u0 b

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

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

(=||$$$>) :: (Covariant j, Covariant k, Covariant l, Interpreted u0) => (T_U ct cu p t u a -> u0 b) -> ((j :. (k :. l)) := Primary (T_U ct cu p t u) a) -> (j :. (k :. l)) := Primary u0 b

(=||$$$$>) :: (Covariant j, Covariant k, Covariant l, Covariant m, Interpreted u0) => (T_U ct cu p t u a -> u0 b) -> ((j :. (k :. (l :. m))) := Primary (T_U ct cu p t u) a) -> (j :. (k :. (l :. m))) := Primary u0 b

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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 <:.> Zipper (Construction Maybe)

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) := (:*:))) = Zipper List

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

type Substructural ('Root :: a -> Segment a) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

type Substructural ('Root :: a -> Segment a) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) = Identity

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

type Substructural ('Root :: a -> Segment a) (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

type Substructural ('Root :: a -> Segment a) (Tap ((List <:.:> List) := (:*:))) = Identity

type Primary (T_U ct cu p t u) a

Defined in Pandora.Paradigm.Schemes.T_U

type Primary (T_U ct cu p t u) a = p (t a) (u a)

type (<:.:>) t u p = T_U Covariant Covariant p t u infixr 2

type (>:.:>) t u p = T_U Contravariant Covariant p t u infixr 2

type (<:.:<) t u p = T_U Covariant Contravariant p t u infixr 2

type (>:.:<) t u p = T_U Contravariant Contravariant p t u infixr 2