Pandora.Paradigm.Structure.Interface.Zipper

Documentation

class Zippable (structure :: * -> *)

Associated Types

type Breadcrumbs structure :: * -> *

Instances

Zippable List

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Breadcrumbs List :: Type -> Type

Zippable (Construction Exactly)

Defined in Pandora.Paradigm.Structure.Some.Stream

Associated Types

type Breadcrumbs (Construction Exactly) :: Type -> Type

Zippable (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Breadcrumbs (Construction Maybe) :: Type -> Type

Zippable (Construction List)

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

type Breadcrumbs (Construction List) :: Type -> Type

Zippable (Comprehension Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Breadcrumbs (Comprehension Maybe) :: Type -> Type

Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t => Impliable (Tape t a :: Type)

Defined in Pandora.Paradigm.Structure.Modification.Tape

Associated Types

type Arguments (Tape t a) = (args :: Type)

Methods

imply :: Arguments (Tape t a)

Morphable ('Into (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) :: Morph (Type -> Type)) (Construction List)

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

type Morphing ('Into (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))) (Construction List) :: Type -> Type

Methods

morphing :: (Tagged ('Into (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))) <::> Construction List) ~> Morphing ('Into (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))) (Construction List)

Morphable ('Into List) (Tape List)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into List) (Tape List) :: Type -> Type

Methods

morphing :: (Tagged ('Into List) <::> Tape List) ~> Morphing ('Into List) (Tape List)

Morphable ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tape Stream)

Defined in Pandora.Paradigm.Structure.Some.Stream

Associated Types

type Morphing ('Rotate 'Right) (Tape Stream) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Right) <::> Tape Stream) ~> Morphing ('Rotate 'Right) (Tape Stream)

Morphable ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tape Stream)

Defined in Pandora.Paradigm.Structure.Some.Stream

Associated Types

type Morphing ('Rotate 'Left) (Tape Stream) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Left) <::> Tape Stream) ~> Morphing ('Rotate 'Left) (Tape Stream)

Morphable ('Into List) (Tape > Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

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

Morphable ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tape > Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Rotate 'Right) (Tape > Construction Maybe) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Right) <::> (Tape > Construction Maybe)) ~> Morphing ('Rotate 'Right) (Tape > Construction Maybe)

Morphable ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tape > Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Rotate 'Left) (Tape > Construction Maybe) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Left) <::> (Tape > Construction Maybe)) ~> Morphing ('Rotate 'Left) (Tape > Construction Maybe)

Morphable ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) ((Turnover :: (Type -> Type) -> Type -> Type) < Tape List)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Rotate 'Right) (Turnover < Tape List) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Right) <::> (Turnover < Tape List)) ~> Morphing ('Rotate 'Right) (Turnover < Tape List)

Morphable ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) ((Turnover :: (Type -> Type) -> Type -> Type) < Tape List)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Rotate 'Left) (Turnover < Tape List) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Left) <::> (Turnover < Tape List)) ~> Morphing ('Rotate 'Left) (Turnover < Tape List)

Morphable ('Rotate ('Up :: a -> Vertical a) :: Morph (a -> Vertical a)) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

type Morphing ('Rotate 'Up) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Up) <::> (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))) ~> Morphing ('Rotate 'Up) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

Substructure ('Right ('Forest :: a -> Segment a) :: Wye (a -> Segment a)) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

type Substance ('Right 'Forest) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) :: Type -> Type

Methods

substructure :: (Tagged ('Right 'Forest) <:.> (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))) @>>> Substance ('Right 'Forest) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

sub :: (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) @>>> Substance ('Right 'Forest) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

Substructure ('Left ('Forest :: a -> Segment a) :: Wye (a -> Segment a)) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

type Substance ('Left 'Forest) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) :: Type -> Type

Methods

substructure :: (Tagged ('Left 'Forest) <:.> (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))) @>>> Substance ('Left 'Forest) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

sub :: (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) @>>> Substance ('Left 'Forest) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

Substructure ('Down ('Forest :: a -> Segment a) :: Vertical (a -> Segment a)) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

type Substance ('Down 'Forest) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) :: Type -> Type

Methods

substructure :: (Tagged ('Down 'Forest) <:.> (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))) @>>> Substance ('Down 'Forest) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

sub :: (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) @>>> Substance ('Down 'Forest) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

Substructure ('Up ('Forest :: a -> Segment a) :: Vertical (a -> Segment a)) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

type Substance ('Up 'Forest) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) :: Type -> Type

Methods

substructure :: (Tagged ('Up 'Forest) <:.> (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))) @>>> Substance ('Up 'Forest) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

sub :: (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) @>>> Substance ('Up 'Forest) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Semimonoidal (-->) (:*:) (:*:) t) => Substructure ('All ('Right :: a -> Wye a) :: Occurrence (a -> Wye a)) (Tape t <::> Tape t)

Defined in Pandora.Paradigm.Structure.Modification.Tape

Associated Types

type Substance ('All 'Right) (Tape t <::> Tape t) :: Type -> Type

Methods

substructure :: (Tagged ('All 'Right) <:.> (Tape t <::> Tape t)) @>>> Substance ('All 'Right) (Tape t <::> Tape t)

sub :: (Tape t <::> Tape t) @>>> Substance ('All 'Right) (Tape t <::> Tape t)

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Semimonoidal (-->) (:*:) (:*:) t) => Substructure ('All ('Left :: a -> Wye a) :: Occurrence (a -> Wye a)) (Tape t <::> Tape t)

Defined in Pandora.Paradigm.Structure.Modification.Tape

Associated Types

type Substance ('All 'Left) (Tape t <::> Tape t) :: Type -> Type

Methods

substructure :: (Tagged ('All 'Left) <:.> (Tape t <::> Tape t)) @>>> Substance ('All 'Left) (Tape t <::> Tape t)

sub :: (Tape t <::> Tape t) @>>> Substance ('All 'Left) (Tape t <::> Tape t)

Morphable (('Into :: (Type -> Type) -> Morph (Type -> Type)) > Tape List) List

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into > Tape List) List :: Type -> Type

Methods

morphing :: (Tagged ('Into > Tape List) <::> List) ~> Morphing ('Into > Tape List) List

Morphable (('Into :: (Type -> Type) -> Morph (Type -> Type)) > Comprehension Maybe) (Tape List)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

morphing :: (Tagged ('Into > Comprehension Maybe) <::> Tape List) ~> Morphing ('Into > Comprehension Maybe) (Tape List)

Morphable (('Into :: (Type -> Type) -> Morph (Type -> Type)) > Tape List) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

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

Morphable (('Into :: (Type -> Type) -> Morph (Type -> Type)) > Construction Maybe) (Tape > Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

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

Extendable ((->) :: Type -> Type -> Type) (Tape Stream)

Defined in Pandora.Paradigm.Structure.Some.Stream

Methods

(<<=) :: (Tape Stream a -> b) -> Tape Stream a -> Tape Stream b

(<<==) :: (Tape Stream a -> b) -> Tape Stream a -> Tape Stream b

(<<===) :: (Tape Stream a -> b) -> Tape Stream a -> Tape Stream b

(<<====) :: (Tape Stream a -> b) -> Tape Stream a -> Tape Stream b

(<<=====) :: (Tape Stream a -> b) -> Tape Stream a -> Tape Stream b

(<<======) :: (Tape Stream a -> b) -> Tape Stream a -> Tape Stream b

(<<=======) :: (Tape Stream a -> b) -> Tape Stream a -> Tape Stream b

(<<========) :: (Tape Stream a -> b) -> Tape Stream a -> Tape Stream b

Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t => Substructure ('Right :: a -> Wye a) (Tape t)

Defined in Pandora.Paradigm.Structure.Modification.Tape

Associated Types

type Substance 'Right (Tape t) :: Type -> Type

Methods

substructure :: (Tagged 'Right <:.> Tape t) @>>> Substance 'Right (Tape t)

sub :: Tape t @>>> Substance 'Right (Tape t)

Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t => Substructure ('Left :: a -> Wye a) (Tape t)

Defined in Pandora.Paradigm.Structure.Modification.Tape

Associated Types

type Substance 'Left (Tape t) :: Type -> Type

Methods

substructure :: (Tagged 'Left <:.> Tape t) @>>> Substance 'Left (Tape t)

sub :: Tape t @>>> Substance 'Left (Tape t)

Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t => Substructure ('Root :: a -> Segment a) (Tagged (Zippable structure) <:.> (Exactly <:*:> t))

Defined in Pandora.Paradigm.Structure.Interface.Zipper

Associated Types

type Substance 'Root (Tagged (Zippable structure) <:.> (Exactly <:*:> t)) :: Type -> Type

Methods

substructure :: (Tagged 'Root <:.> (Tagged (Zippable structure) <:.> (Exactly <:*:> t))) @>>> Substance 'Root (Tagged (Zippable structure) <:.> (Exactly <:*:> t))

sub :: (Tagged (Zippable structure) <:.> (Exactly <:*:> t)) @>>> Substance 'Root (Tagged (Zippable structure) <:.> (Exactly <:*:> t))

Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t => Substructure ('Down :: a -> Vertical a) (Tape t <::> Tape t)

Defined in Pandora.Paradigm.Structure.Modification.Tape

Associated Types

type Substance 'Down (Tape t <::> Tape t) :: Type -> Type

Methods

substructure :: (Tagged 'Down <:.> (Tape t <::> Tape t)) @>>> Substance 'Down (Tape t <::> Tape t)

sub :: (Tape t <::> Tape t) @>>> Substance 'Down (Tape t <::> Tape t)

Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t => Substructure ('Up :: a -> Vertical a) (Tape t <::> Tape t)

Defined in Pandora.Paradigm.Structure.Modification.Tape

Associated Types

type Substance 'Up (Tape t <::> Tape t) :: Type -> Type

Methods

substructure :: (Tagged 'Up <:.> (Tape t <::> Tape t)) @>>> Substance 'Up (Tape t <::> Tape t)

sub :: (Tape t <::> Tape t) @>>> Substance 'Up (Tape t <::> Tape t)

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

Defined in Pandora.Paradigm.Structure.Modification.Tape

Methods

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

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

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

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

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

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

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

Traversable ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (Tape List)

Defined in Pandora.Paradigm.Structure.Some.List

Methods

(<<-) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> Tape List a -> u (Tape List b)

(<<-------) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> Tape List a -> u (Tape List b)

(<<------) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> Tape List a -> u (Tape List b)

(<<-----) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> Tape List a -> u (Tape List b)

(<<----) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> Tape List a -> u (Tape List b)

(<<---) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> Tape List a -> u (Tape List b)

(<<--) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> Tape List a -> u (Tape List b)

type Arguments (Tape t a :: Type)

Defined in Pandora.Paradigm.Structure.Modification.Tape

type Arguments (Tape t a :: Type) = a -> t a -> t a -> Tape t a

type Morphing ('Into (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) :: Morph (Type -> Type)) (Construction List)

Defined in Pandora.Paradigm.Structure.Some.Rose

type Morphing ('Into (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) :: Morph (Type -> Type)) (Construction List) = Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))

type Morphing ('Into List) (Tape List)

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Into List) (Tape List) = List

type Morphing ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tape Stream)

Defined in Pandora.Paradigm.Structure.Some.Stream

type Morphing ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tape Stream) = Tape Stream

type Morphing ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tape Stream)

Defined in Pandora.Paradigm.Structure.Some.Stream

type Morphing ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tape Stream) = Tape Stream

type Morphing ('Into List) (Tape > Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

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

type Morphing ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tape > Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

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

type Morphing ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tape > Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

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

type Morphing ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) ((Turnover :: (Type -> Type) -> Type -> Type) < Tape List)

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) ((Turnover :: (Type -> Type) -> Type -> Type) < Tape List) = (Turnover :: (Type -> Type) -> Type -> Type) < Tape List

type Morphing ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) ((Turnover :: (Type -> Type) -> Type -> Type) < Tape List)

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) ((Turnover :: (Type -> Type) -> Type -> Type) < Tape List) = (Turnover :: (Type -> Type) -> Type -> Type) < Tape List

type Morphing ('Rotate ('Up :: a -> Vertical a) :: Morph (a -> Vertical a)) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

Defined in Pandora.Paradigm.Structure.Some.Rose

type Morphing ('Rotate ('Up :: a -> Vertical a) :: Morph (a -> Vertical a)) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) = Maybe <::> (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

type Substance ('Right ('Forest :: a -> Segment a) :: Wye (a -> Segment a)) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

Defined in Pandora.Paradigm.Structure.Some.Rose

type Substance ('Right ('Forest :: a -> Segment a) :: Wye (a -> Segment a)) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) = Roses

type Substance ('Left ('Forest :: a -> Segment a) :: Wye (a -> Segment a)) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

Defined in Pandora.Paradigm.Structure.Some.Rose

type Substance ('Left ('Forest :: a -> Segment a) :: Wye (a -> Segment a)) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) = Reverse Roses

type Substance ('Down ('Forest :: a -> Segment a) :: Vertical (a -> Segment a)) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

Defined in Pandora.Paradigm.Structure.Some.Rose

type Substance ('Down ('Forest :: a -> Segment a) :: Vertical (a -> Segment a)) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) = Roses

type Substance ('Up ('Forest :: a -> Segment a) :: Vertical (a -> Segment a)) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))))

Defined in Pandora.Paradigm.Structure.Some.Rose

type Substance ('Up ('Forest :: a -> Segment a) :: Vertical (a -> Segment a)) (Tagged (Zippable structure) <:.> (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) = List <::> Tape Roses

type Substance ('All ('Right :: a -> Wye a) :: Occurrence (a -> Wye a)) (Tape t <::> Tape t)

Defined in Pandora.Paradigm.Structure.Modification.Tape

type Substance ('All ('Right :: a -> Wye a) :: Occurrence (a -> Wye a)) (Tape t <::> Tape t) = Tape t <::> t

type Substance ('All ('Left :: a -> Wye a) :: Occurrence (a -> Wye a)) (Tape t <::> Tape t)

Defined in Pandora.Paradigm.Structure.Modification.Tape

type Substance ('All ('Left :: a -> Wye a) :: Occurrence (a -> Wye a)) (Tape t <::> Tape t) = Tape t <::> Reverse t

type Morphing (('Into :: (Type -> Type) -> Morph (Type -> Type)) > Tape List) List

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing (('Into :: (Type -> Type) -> Morph (Type -> Type)) > Tape List) List = Maybe <::> Tape List

type Morphing (('Into :: (Type -> Type) -> Morph (Type -> Type)) > Comprehension Maybe) (Tape List)

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing (('Into :: (Type -> Type) -> Morph (Type -> Type)) > Comprehension Maybe) (Tape List) = Comprehension Maybe

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing (('Into :: (Type -> Type) -> Morph (Type -> Type)) > Construction Maybe) (Tape > Construction Maybe) = Construction Maybe

type Substance ('Right :: a -> Wye a) (Tape t)

Defined in Pandora.Paradigm.Structure.Modification.Tape

type Substance ('Right :: a -> Wye a) (Tape t) = t

type Substance ('Left :: a -> Wye a) (Tape t)

Defined in Pandora.Paradigm.Structure.Modification.Tape

type Substance ('Left :: a -> Wye a) (Tape t) = Reverse t

type Substance ('Root :: a -> Segment a) (Tagged (Zippable structure) <:.> (Exactly <:*:> t))

Defined in Pandora.Paradigm.Structure.Interface.Zipper

type Substance ('Root :: a -> Segment a) (Tagged (Zippable structure) <:.> (Exactly <:*:> t)) = Exactly

type Substance ('Down :: a -> Vertical a) (Tape t <::> Tape t)

Defined in Pandora.Paradigm.Structure.Modification.Tape

type Substance ('Down :: a -> Vertical a) (Tape t <::> Tape t) = Reverse t <::> Tape t

type Substance ('Up :: a -> Vertical a) (Tape t <::> Tape t)

Defined in Pandora.Paradigm.Structure.Modification.Tape

type Substance ('Up :: a -> Vertical a) (Tape t <::> Tape t) = t <::> Tape t

type Zipper (structure :: * -> *) = Tagged (Zippable structure) <:.> (Exactly <:*:> Breadcrumbs structure)

type Breadcrumbed structure t = (Zippable structure, Breadcrumbs structure ~ t)

type family Fastenable structure rs where ...

Equations

Fastenable structure (r ::: rs) = ((Morphable < Rotate r) < structure, Fastenable structure rs)

Fastenable structure r = (Morphable < Rotate r) < structure

Orphan instances

Semimonoidal (<--) (:*:) (:*:) t => Monoidal (<--) (-->) (:*:) (:*:) (Exactly <:*:> t)

Methods

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

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

Methods

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