Pandora.Paradigm.Schemes.T_U

Documentation

newtype T_U ct cu p t u a

Constructors

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

Instances

(Monoidal (-->) (-->) (:*:) (:+:) t, Monoidal (-->) (-->) (:*:) (:+:) u) => Monoidal (-->) (-->) (:*:) (:+:) (t <:*:> u)

Defined in Pandora.Paradigm.Algebraic

Methods

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

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

Defined in Pandora.Paradigm.Structure.Interface.Zipper

Methods

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

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

Defined in Pandora.Paradigm.Primary.Transformer.Tap

Methods

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

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

Defined in Pandora.Paradigm.Algebraic

Methods

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

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

Defined in Pandora.Paradigm.Algebraic

Methods

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

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

Defined in Pandora.Paradigm.Algebraic

Methods

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

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

Defined in Pandora.Paradigm.Structure.Interface.Zipper

Methods

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

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)

Substructure ('Right ('Branch :: a -> Segment a) :: Horizontal (a -> Segment a)) Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Substance ('Right 'Branch) Binary :: Type -> Type

Methods

substructure :: (Tagged ('Right 'Branch) <:.> Binary) @>>> Substance ('Right 'Branch) Binary

sub :: Binary @>>> Substance ('Right 'Branch) Binary

Substructure ('Left ('Branch :: a -> Segment a) :: Horizontal (a -> Segment a)) Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Substance ('Left 'Branch) Binary :: Type -> Type

Methods

substructure :: (Tagged ('Left 'Branch) <:.> Binary) @>>> Substance ('Left 'Branch) Binary

sub :: Binary @>>> Substance ('Left 'Branch) Binary

Morphable ('Into (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) (Construction List)

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

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

Methods

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

Morphable ('Into Binary) (Construction (Maybe <:*:> Maybe))

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Into Binary) (Construction (Maybe <:*:> Maybe)) :: Type -> Type

Methods

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

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 -> Horizontal a) :: Morph (a -> Horizontal 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 -> Horizontal a) :: Morph (a -> Horizontal 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)

Slidable ('Right ('Zig :: a -> Splay a) :: Horizontal (a -> Splay a)) (Construction (Maybe <:*:> Maybe))

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

type Sliding ('Right 'Zig) (Construction (Maybe <:*:> Maybe)) :: Type -> Type

Methods

slide :: ((State < Construction (Maybe <:*:> Maybe) e) :> Sliding ('Right 'Zig) (Construction (Maybe <:*:> Maybe))) >>> ()

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

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure

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)) (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

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

Methods

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

Substructure ('Right ('Forest :: a -> Segment a) :: Horizontal (a -> Segment a)) (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

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

Methods

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

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

Substructure ('Left ('Forest :: a -> Segment a) :: Horizontal (a -> Segment a)) (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

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

Methods

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

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

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

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

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

Methods

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

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

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

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

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

Methods

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

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

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)

Chain key => Morphable ('Lookup ('Key :: a -> Morph a) :: Morph (a -> Morph a)) ((Prefixed < Construction (Maybe <:*:> Maybe)) < key)

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Lookup 'Key) ((Prefixed < Construction (Maybe <:*:> Maybe)) < key) :: Type -> Type

Methods

morphing :: (Tagged ('Lookup 'Key) <::> ((Prefixed < Construction (Maybe <:*:> Maybe)) < key)) ~> Morphing ('Lookup 'Key) ((Prefixed < Construction (Maybe <:*:> Maybe)) < key)

Morphable ('Rotate ('Right :: a -> Horizontal a) :: Morph (a -> Horizontal 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 -> Horizontal a) :: Morph (a -> Horizontal 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 -> Horizontal a) :: Morph (a -> Horizontal 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 -> Horizontal a) :: Morph (a -> Horizontal 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)

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Semimonoidal (-->) (:*:) (:*:) t) => Substructure ('All ('Right :: a -> Horizontal a) :: Occurrence (a -> Horizontal 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 -> Horizontal a) :: Occurrence (a -> Horizontal 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 (('Rotate :: Horizontal (a -> Splay a) -> Morph (Horizontal (a -> Splay a))) > 'Right ('Zig :: a -> Splay a) :: Morph (Horizontal (a -> Splay a))) Binary

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

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

Morphable (('Into :: (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 (('Rotate :: Horizontal (a -> Splay a) -> Morph (Horizontal (a -> Splay a))) > 'Right ('Zig :: a -> Splay a) :: Morph (Horizontal (a -> Splay a))) (Construction (Maybe <:*:> Maybe))

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

type Morphing ('Rotate > 'Right 'Zig) (Construction (Maybe <:*:> Maybe)) :: Type -> Type

Methods

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

Morphable (('Rotate :: Horizontal (a -> Splay a) -> Morph (Horizontal (a -> Splay a))) > 'Left ('Zig :: a -> Splay a) :: Morph (Horizontal (a -> Splay a))) (Construction (Maybe <:*:> Maybe))

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

type Morphing ('Rotate > 'Left 'Zig) (Construction (Maybe <:*:> Maybe)) :: Type -> Type

Methods

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

Morphable (('Rotate :: Horizontal (Splay (a -> Splay a)) -> Morph (Horizontal (Splay (a -> Splay a)))) > (('Right :: Splay (a -> Splay a) -> Horizontal (Splay (a -> Splay a))) > 'Zig ('Zag :: a -> Splay a)) :: Morph (Horizontal (Splay (a -> Splay a)))) (Construction (Maybe <:*:> Maybe))

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

type Morphing ('Rotate > ('Right > 'Zig 'Zag)) (Construction (Maybe <:*:> Maybe)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate > ('Right > 'Zig 'Zag)) <::> Construction (Maybe <:*:> Maybe)) ~> Morphing ('Rotate > ('Right > 'Zig 'Zag)) (Construction (Maybe <:*:> Maybe))

Morphable (('Rotate :: Horizontal (Splay (a -> Splay a)) -> Morph (Horizontal (Splay (a -> Splay a)))) > (('Left :: Splay (a -> Splay a) -> Horizontal (Splay (a -> Splay a))) > 'Zig ('Zag :: a -> Splay a)) :: Morph (Horizontal (Splay (a -> Splay a)))) (Construction (Maybe <:*:> Maybe))

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

type Morphing ('Rotate > ('Left > 'Zig 'Zag)) (Construction (Maybe <:*:> Maybe)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate > ('Left > 'Zig 'Zag)) <::> Construction (Maybe <:*:> Maybe)) ~> Morphing ('Rotate > ('Left > 'Zig 'Zag)) (Construction (Maybe <:*:> Maybe))

Morphable (('Rotate :: Horizontal (Splay (a -> Splay a)) -> Morph (Horizontal (Splay (a -> Splay a)))) > (('Right :: Splay (a -> Splay a) -> Horizontal (Splay (a -> Splay a))) > 'Zig ('Zig :: a -> Splay a)) :: Morph (Horizontal (Splay (a -> Splay a)))) (Construction (Maybe <:*:> Maybe))

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

type Morphing ('Rotate > ('Right > 'Zig 'Zig)) (Construction (Maybe <:*:> Maybe)) :: Type -> Type

Methods

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

Morphable (('Rotate :: Horizontal (Splay (a -> Splay a)) -> Morph (Horizontal (Splay (a -> Splay a)))) > (('Left :: Splay (a -> Splay a) -> Horizontal (Splay (a -> Splay a))) > 'Zig ('Zig :: a -> Splay a)) :: Morph (Horizontal (Splay (a -> Splay a)))) (Construction (Maybe <:*:> Maybe))

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

type Morphing ('Rotate > ('Left > 'Zig 'Zig)) (Construction (Maybe <:*:> Maybe)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate > ('Left > 'Zig 'Zig)) <::> Construction (Maybe <:*:> Maybe)) ~> Morphing ('Rotate > ('Left > 'Zig 'Zig)) (Construction (Maybe <:*:> 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) structure, Stack structure, Bindable ((->) :: Type -> Type -> Type) (Topping structure), Monoidal (-->) (-->) (:*:) (:*:) (Topping structure)) => Slidable ('Right :: a -> Horizontal a) (Tape structure)

Defined in Pandora.Paradigm.Structure.Modification.Tape

Associated Types

type Sliding 'Right (Tape structure) :: Type -> Type

Methods

slide :: ((State < Tape structure e) :> Sliding 'Right (Tape structure)) >>> ()

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) structure, Bindable ((->) :: Type -> Type -> Type) (Topping structure), Monoidal (-->) (-->) (:*:) (:*:) (Topping structure), Stack structure) => Slidable ('Left :: a -> Horizontal a) (Tape structure)

Defined in Pandora.Paradigm.Structure.Modification.Tape

Associated Types

type Sliding 'Left (Tape structure) :: Type -> Type

Methods

slide :: ((State < Tape structure e) :> Sliding 'Left (Tape structure)) >>> ()

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) u) => Substructure ('Right :: a -> Horizontal a) (t <:*:> u)

Defined in Pandora.Paradigm.Structure.Ability.Substructure

Associated Types

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

Methods

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

sub :: (t <:*:> u) @>>> Substance 'Right (t <:*:> u)

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) u) => Substructure ('Left :: a -> Horizontal a) (t <:*:> u)

Defined in Pandora.Paradigm.Structure.Ability.Substructure

Associated Types

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

Methods

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

sub :: (t <:*:> u) @>>> Substance 'Left (t <:*:> u)

Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t => Substructure ('Rest :: a -> Segment a) (Exactly <:*:> t)

Defined in Pandora.Paradigm.Structure.Ability.Substructure

Associated Types

type Substance 'Rest (Exactly <:*:> t) :: Type -> Type

Methods

substructure :: (Tagged 'Rest <:.> (Exactly <:*:> t)) @>>> Substance 'Rest (Exactly <:*:> t)

sub :: (Exactly <:*:> t) @>>> Substance 'Rest (Exactly <:*:> t)

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

Defined in Pandora.Paradigm.Structure.Ability.Substructure

Associated Types

type Substance 'Root (Exactly <:*:> t) :: Type -> Type

Methods

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

sub :: (Exactly <:*:> t) @>>> Substance 'Root (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) (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)

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

Defined in Pandora.Paradigm.Algebraic

Methods

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

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

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

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

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

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

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

(Contravariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, forall a. Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (p (t a)), Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) u, forall b. Contravariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (Flip p (u b))) => Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) ((t >:.:> u) >>>>>> p)

Defined in Pandora.Paradigm.Schemes.T_U

Methods

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Defined in Pandora.Paradigm.Schemes.T_U

Methods

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Interpreted ((->) :: Type -> Type -> Type) (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

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

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

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

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

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

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

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

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

(=#-) :: (Semigroupoid (->), Interpreted (->) u0) => (((->) < Primary (T_U ct cu p t u) a) < Primary u0 b) -> ((->) < T_U ct cu p t u a) < u0 b

(-#=) :: (Semigroupoid (->), Interpreted (->) u0) => (((->) < T_U ct cu p t u a) < u0 b) -> ((->) < Primary (T_U ct cu p t u) a) < Primary u0 b

(<$=#-) :: (Semigroupoid (->), 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, 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)

type Nonempty Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

type Nonempty Binary = Construction (Maybe <:*:> Maybe)

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 Substance ('Right ('Branch :: a -> Segment a) :: Horizontal (a -> Segment a)) Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

type Substance ('Right ('Branch :: a -> Segment a) :: Horizontal (a -> Segment a)) Binary = Binary

type Substance ('Left ('Branch :: a -> Segment a) :: Horizontal (a -> Segment a)) Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

type Substance ('Left ('Branch :: a -> Segment a) :: Horizontal (a -> Segment a)) Binary = Binary

type Morphing ('Into (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) (Construction List)

Defined in Pandora.Paradigm.Structure.Some.Rose

type Morphing ('Into (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))) (Construction List) = Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))

type Morphing ('Into Binary) (Construction (Maybe <:*:> Maybe))

Defined in Pandora.Paradigm.Structure.Some.Binary

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

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 -> Horizontal a) :: Morph (a -> Horizontal a)) (Tape Stream)

Defined in Pandora.Paradigm.Structure.Some.Stream

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

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

Defined in Pandora.Paradigm.Structure.Some.Stream

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

type Sliding ('Right ('Zig :: a -> Splay a) :: Horizontal (a -> Splay a)) (Construction (Maybe <:*:> Maybe))

Defined in Pandora.Paradigm.Structure.Some.Splay

type Sliding ('Right ('Zig :: a -> Splay a) :: Horizontal (a -> Splay a)) (Construction (Maybe <:*:> Maybe)) = Maybe

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

Defined in Pandora.Paradigm.Structure.Some.Binary

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

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

Defined in Pandora.Paradigm.Structure

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

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

type Substance ('Right ('Forest :: a -> Segment a) :: Horizontal (a -> Segment a)) (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))

Defined in Pandora.Paradigm.Structure.Some.Rose

type Substance ('Right ('Forest :: a -> Segment a) :: Horizontal (a -> Segment a)) (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))) = Roses

type Substance ('Left ('Forest :: a -> Segment a) :: Horizontal (a -> Segment a)) (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))))

Defined in Pandora.Paradigm.Structure.Some.Rose

type Substance ('Left ('Forest :: a -> Segment a) :: Horizontal (a -> Segment a)) (Exactly <:*:> (Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses))))) = Reverse Roses

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

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

type Morphing ('Lookup ('Key :: a -> Morph a) :: Morph (a -> Morph a)) ((Prefixed < Construction (Maybe <:*:> Maybe)) < key)

Defined in Pandora.Paradigm.Structure.Some.Binary

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Modification.Tape

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

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

Defined in Pandora.Paradigm.Structure.Modification.Tape

type Substance ('All ('Left :: a -> Horizontal a) :: Occurrence (a -> Horizontal 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 (('Rotate :: Horizontal (a -> Splay a) -> Morph (Horizontal (a -> Splay a))) > 'Right ('Zig :: a -> Splay a) :: Morph (Horizontal (a -> Splay a))) Binary

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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 (('Rotate :: Horizontal (a -> Splay a) -> Morph (Horizontal (a -> Splay a))) > 'Right ('Zig :: a -> Splay a) :: Morph (Horizontal (a -> Splay a))) (Construction (Maybe <:*:> Maybe))

Defined in Pandora.Paradigm.Structure.Some.Splay

type Morphing (('Rotate :: Horizontal (a -> Splay a) -> Morph (Horizontal (a -> Splay a))) > 'Right ('Zig :: a -> Splay a) :: Morph (Horizontal (a -> Splay a))) (Construction (Maybe <:*:> Maybe)) = Binary

type Morphing (('Rotate :: Horizontal (a -> Splay a) -> Morph (Horizontal (a -> Splay a))) > 'Left ('Zig :: a -> Splay a) :: Morph (Horizontal (a -> Splay a))) (Construction (Maybe <:*:> Maybe))

Defined in Pandora.Paradigm.Structure.Some.Splay

type Morphing (('Rotate :: Horizontal (a -> Splay a) -> Morph (Horizontal (a -> Splay a))) > 'Left ('Zig :: a -> Splay a) :: Morph (Horizontal (a -> Splay a))) (Construction (Maybe <:*:> Maybe)) = Binary

type Morphing (('Rotate :: Horizontal (Splay (a -> Splay a)) -> Morph (Horizontal (Splay (a -> Splay a)))) > (('Right :: Splay (a -> Splay a) -> Horizontal (Splay (a -> Splay a))) > 'Zig ('Zag :: a -> Splay a)) :: Morph (Horizontal (Splay (a -> Splay a)))) (Construction (Maybe <:*:> Maybe))

Defined in Pandora.Paradigm.Structure.Some.Splay

type Morphing (('Rotate :: Horizontal (Splay (a -> Splay a)) -> Morph (Horizontal (Splay (a -> Splay a)))) > (('Right :: Splay (a -> Splay a) -> Horizontal (Splay (a -> Splay a))) > 'Zig ('Zag :: a -> Splay a)) :: Morph (Horizontal (Splay (a -> Splay a)))) (Construction (Maybe <:*:> Maybe)) = Maybe <::> Construction (Maybe <:*:> Maybe)

type Morphing (('Rotate :: Horizontal (Splay (a -> Splay a)) -> Morph (Horizontal (Splay (a -> Splay a)))) > (('Left :: Splay (a -> Splay a) -> Horizontal (Splay (a -> Splay a))) > 'Zig ('Zag :: a -> Splay a)) :: Morph (Horizontal (Splay (a -> Splay a)))) (Construction (Maybe <:*:> Maybe))

Defined in Pandora.Paradigm.Structure.Some.Splay

type Morphing (('Rotate :: Horizontal (Splay (a -> Splay a)) -> Morph (Horizontal (Splay (a -> Splay a)))) > (('Left :: Splay (a -> Splay a) -> Horizontal (Splay (a -> Splay a))) > 'Zig ('Zag :: a -> Splay a)) :: Morph (Horizontal (Splay (a -> Splay a)))) (Construction (Maybe <:*:> Maybe)) = Maybe <::> Construction (Maybe <:*:> Maybe)

type Morphing (('Rotate :: Horizontal (Splay (a -> Splay a)) -> Morph (Horizontal (Splay (a -> Splay a)))) > (('Right :: Splay (a -> Splay a) -> Horizontal (Splay (a -> Splay a))) > 'Zig ('Zig :: a -> Splay a)) :: Morph (Horizontal (Splay (a -> Splay a)))) (Construction (Maybe <:*:> Maybe))

Defined in Pandora.Paradigm.Structure.Some.Splay

type Morphing (('Rotate :: Horizontal (Splay (a -> Splay a)) -> Morph (Horizontal (Splay (a -> Splay a)))) > (('Right :: Splay (a -> Splay a) -> Horizontal (Splay (a -> Splay a))) > 'Zig ('Zig :: a -> Splay a)) :: Morph (Horizontal (Splay (a -> Splay a)))) (Construction (Maybe <:*:> Maybe)) = Maybe <::> Construction (Maybe <:*:> Maybe)

type Morphing (('Rotate :: Horizontal (Splay (a -> Splay a)) -> Morph (Horizontal (Splay (a -> Splay a)))) > (('Left :: Splay (a -> Splay a) -> Horizontal (Splay (a -> Splay a))) > 'Zig ('Zig :: a -> Splay a)) :: Morph (Horizontal (Splay (a -> Splay a)))) (Construction (Maybe <:*:> Maybe))

Defined in Pandora.Paradigm.Structure.Some.Splay

type Morphing (('Rotate :: Horizontal (Splay (a -> Splay a)) -> Morph (Horizontal (Splay (a -> Splay a)))) > (('Left :: Splay (a -> Splay a) -> Horizontal (Splay (a -> Splay a))) > 'Zig ('Zig :: a -> Splay a)) :: Morph (Horizontal (Splay (a -> Splay a)))) (Construction (Maybe <:*:> Maybe)) = Maybe <::> Construction (Maybe <:*:> Maybe)

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 Sliding ('Right :: a -> Horizontal a) (Tape structure)

Defined in Pandora.Paradigm.Structure.Modification.Tape

type Sliding ('Right :: a -> Horizontal a) (Tape structure) = Topping structure

type Sliding ('Left :: a -> Horizontal a) (Tape structure)

Defined in Pandora.Paradigm.Structure.Modification.Tape

type Sliding ('Left :: a -> Horizontal a) (Tape structure) = Topping structure

type Substance ('Right :: a -> Horizontal a) (t <:*:> u)

Defined in Pandora.Paradigm.Structure.Ability.Substructure

type Substance ('Right :: a -> Horizontal a) (t <:*:> u) = u

type Substance ('Left :: a -> Horizontal a) (t <:*:> u)

Defined in Pandora.Paradigm.Structure.Ability.Substructure

type Substance ('Left :: a -> Horizontal a) (t <:*:> u) = t

type Substance ('Rest :: a -> Segment a) (Exactly <:*:> t)

Defined in Pandora.Paradigm.Structure.Ability.Substructure

type Substance ('Rest :: a -> Segment a) (Exactly <:*:> t) = t

type Substance ('Root :: a -> Segment a) (Exactly <:*:> t)

Defined in Pandora.Paradigm.Structure.Ability.Substructure

type Substance ('Root :: a -> Segment a) (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 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 5

type (>:.:>) t u p = T_U Contravariant Covariant p t u infixr 5

type (<:.:<) t u p = T_U Covariant Contravariant p t u infixr 5

type (>:.:<) t u p = T_U Contravariant Contravariant p t u infixr 5