Pandora.Paradigm.Schemes.TT

Documentation

newtype TT ct ct' t t' a

Constructors

TT ((t :. t') > a)

Instances

Zippable List

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Breadcrumbs List :: Type -> Type

Stack List

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Topping List :: Type -> Type

type Popping List :: Type -> Type

type Pushing List :: Type -> Type

Methods

top :: Lens (Topping List) (List e) e

pop :: State (Popping List e) (Maybe e)

push :: e -> State (Pushing List e) e

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t', Semimonoidal (-->) (:*:) (:+:) t, Monoidal (-->) (-->) (:*:) (:+:) t) => Monoidal (-->) (-->) (:*:) (:+:) (t <::> t')

Defined in Pandora.Paradigm.Schemes.TT

Methods

unit :: Proxy (:*:) -> (Unit (:+:) --> a) --> (t <::> t') a

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

Defined in Pandora.Paradigm.Schemes.TT

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> (t <::> t') a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Monoidal (<--) (-->) (:*:) (:*:) t, Monoidal (<--) (-->) (:*:) (:*:) t') => Monoidal (<--) (-->) (:*:) (:*:) (t <::> t')

Defined in Pandora.Paradigm.Schemes.TT

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) <-- (t <::> t') a

(Semigroupoid m, Covariant m m t, Covariant (Betwixt m m) m t, Covariant m (Betwixt m m) t', Interpreted m (t <::> t')) => Covariant m m (t <::> t')

Defined in Pandora.Paradigm.Schemes.TT

Methods

(<-|-) :: m a b -> m ((t <::> t') a) ((t <::> t') b)

(<-|--) :: m a b -> m ((t <::> t') a) ((t <::> t') b)

(<-|---) :: m a b -> m ((t <::> t') a) ((t <::> t') b)

(<-|----) :: m a b -> m ((t <::> t') a) ((t <::> t') b)

(<-|-----) :: m a b -> m ((t <::> t') a) ((t <::> t') b)

(<-|------) :: m a b -> m ((t <::> t') a) ((t <::> t') b)

(<-|-------) :: m a b -> m ((t <::> t') a) ((t <::> t') b)

(<-|--------) :: m a b -> m ((t <::> t') a) ((t <::> t') b)

(<-|-|-) :: (Covariant m (Betwixt m m) u, Covariant (Betwixt m m) m (t <::> t')) => m a b -> m ((t <::> t') (u a)) ((t <::> t') (u b))

(<-|-|--) :: (Covariant m (Betwixt m m) u, Covariant (Betwixt m m) m (t <::> t')) => m a b -> m ((t <::> t') (u a)) ((t <::> t') (u b))

(<-|-|---) :: (Covariant m (Betwixt m m) u, Covariant (Betwixt m m) m (t <::> t')) => m a b -> m ((t <::> t') (u a)) ((t <::> t') (u b))

(<-|-|----) :: (Covariant m (Betwixt m m) u, Covariant (Betwixt m m) m (t <::> t')) => m a b -> m ((t <::> t') (u a)) ((t <::> t') (u b))

(<-|-|-----) :: (Covariant m (Betwixt m m) u, Covariant (Betwixt m m) m (t <::> t')) => m a b -> m ((t <::> t') (u a)) ((t <::> t') (u b))

(<-|-|------) :: (Covariant m (Betwixt m m) u, Covariant (Betwixt m m) m (t <::> t')) => m a b -> m ((t <::> t') (u a)) ((t <::> t') (u b))

(<-|-|-------) :: (Covariant m (Betwixt m m) u, Covariant (Betwixt m m) m (t <::> t')) => m a b -> m ((t <::> t') (u a)) ((t <::> t') (u b))

(<-|-|-|-) :: (Covariant m (Betwixt m (Betwixt m m)) v, Covariant (Betwixt m (Betwixt m m)) (Betwixt (Betwixt m m) m) u, Covariant (Betwixt (Betwixt m m) m) m (t <::> t')) => m a b -> m ((t <::> t') (u (v a))) ((t <::> t') (u (v b)))

Semigroup (List a)

Defined in Pandora.Paradigm.Structure.Some.List

Methods

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

Monoid (List a)

Defined in Pandora.Paradigm.Structure.Some.List

Methods

zero :: List a

Setoid a => Setoid (List a)

Defined in Pandora.Paradigm.Structure.Some.List

Methods

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

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

(?=) :: List a -> List a -> r -> r -> r

Zippable (Construction List)

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

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

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

Defined in Pandora.Paradigm.Schemes.TT

Methods

mult :: forall (a :: k) (b :: k). ((t <::> t') a :*: (t <::> t') b) --> (t <::> t') (a :+: b)

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

Defined in Pandora.Paradigm.Schemes.TT

Methods

mult :: forall (a :: k) (b :: k). ((t <::> t') a :*: (t <::> t') b) --> (t <::> t') (a :*: b)

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

Defined in Pandora.Paradigm.Schemes.TT

Methods

mult :: forall (a :: k) (b :: k). ((t <::> t') a :*: (t <::> t') b) <-- (t <::> t') (a :*: b)

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

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

Substructure ('Right ('Branch :: a -> Segment a) :: Wye (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) :: Wye (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 (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) (Vector r)

Defined in Pandora.Paradigm.Structure

Associated Types

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

Methods

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

Morphable ('Into List) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

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

Morphable ('Into List) (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)

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)

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

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

Setoid k => Morphable ('Lookup ('Key :: a -> Morph a) :: Morph (a -> Morph a)) (Prefixed Rose k)

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

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

Methods

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

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 > 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 ('Into List) (Construction Maybe <::> Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Schemes.TT

Methods

(/|\) :: Covariant (->) (->) u => (forall a. u a -> v a) -> forall (a :: k). TT Covariant Covariant t u a -> TT Covariant Covariant t v a

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing 'Pop List :: Type -> Type

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing 'Push List :: Type -> Type

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Substance 'Rest List :: Type -> Type

Methods

substructure :: (Tagged 'Rest <:.> List) @>>> Substance 'Rest List

sub :: List @>>> Substance 'Rest List

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Substance 'Root List :: Type -> Type

Methods

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

sub :: List @>>> Substance 'Root List

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) t') => Traversable ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (t <::> t')

Defined in Pandora.Paradigm.Schemes.TT

Methods

(<<-) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> (t <::> t') a -> u ((t <::> t') b)

(<<-------) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> (t <::> t') a -> u ((t <::> t') b)

(<<------) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> (t <::> t') a -> u ((t <::> t') b)

(<<-----) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> (t <::> t') a -> u ((t <::> t') b)

(<<----) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> (t <::> t') a -> u ((t <::> t') b)

(<<---) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> (t <::> t') a -> u ((t <::> t') b)

(<<--) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> (t <::> t') a -> u ((t <::> t') b)

(Bindable ((->) :: Type -> Type -> Type) t, Distributive ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t', Bindable ((->) :: Type -> Type -> Type) t') => Bindable ((->) :: Type -> Type -> Type) (t <::> t')

Defined in Pandora.Paradigm.Schemes.TT

Methods

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

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

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

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

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

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

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

Monoidal (-->) (-->) (:*:) (:*:) t => Liftable ((->) :: Type -> Type -> Type) (TT Covariant Covariant t :: (Type -> Type) -> Type -> Type)

Defined in Pandora.Paradigm.Schemes.TT

Methods

lift :: Covariant (->) (->) u => u a -> TT Covariant Covariant t u a

Monoidal (<--) (-->) (:*:) (:*:) t => Lowerable ((->) :: Type -> Type -> Type) (TT Covariant Covariant t :: (Type -> Type) -> Type -> Type)

Defined in Pandora.Paradigm.Schemes.TT

Methods

lower :: Covariant (->) (->) u => TT Covariant Covariant t u a -> u a

Interpreted ((->) :: Type -> Type -> Type) (TT ct ct' t t')

Defined in Pandora.Paradigm.Schemes.TT

Associated Types

type Primary (TT ct ct' t t') a

Methods

run :: ((->) < TT ct ct' t t' a) < Primary (TT ct ct' t t') a

unite :: ((->) < Primary (TT ct ct' t t') a) < TT ct ct' t t' a

(<~~~~~~~~) :: ((->) < TT ct ct' t t' a) < Primary (TT ct ct' t t') a

(<~~~~~~~) :: ((->) < TT ct ct' t t' a) < Primary (TT ct ct' t t') a

(<~~~~~~) :: ((->) < TT ct ct' t t' a) < Primary (TT ct ct' t t') a

(<~~~~~) :: ((->) < TT ct ct' t t' a) < Primary (TT ct ct' t t') a

(<~~~~) :: ((->) < TT ct ct' t t' a) < Primary (TT ct ct' t t') a

(<~~~) :: ((->) < TT ct ct' t t' a) < Primary (TT ct ct' t t') a

(<~~) :: ((->) < TT ct ct' t t' a) < Primary (TT ct ct' t t') a

(<~) :: ((->) < TT ct ct' t t' a) < Primary (TT ct ct' t t') a

(=#-) :: (Semigroupoid (->), Interpreted (->) u) => (((->) < Primary (TT ct ct' t t') a) < Primary u b) -> ((->) < TT ct ct' t t' a) < u b

(-#=) :: (Semigroupoid (->), Interpreted (->) u) => (((->) < TT ct ct' t t' a) < u b) -> ((->) < Primary (TT ct ct' t t') a) < Primary u b

(<$=#-) :: (Semigroupoid (->), Covariant (->) (->) j, Interpreted (->) u) => (((->) < Primary (TT ct ct' t t') a) < Primary u b) -> (j > TT ct ct' t t' a) -> (j > u b)

(-#=$>) :: (Covariant (->) (->) j, Interpreted (->) u) => (((->) < TT ct ct' t t' a) < u b) -> (j > Primary (TT ct ct' t t') a) -> (j > Primary u b)

type Nonempty Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

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

type Nonempty List

Defined in Pandora.Paradigm.Structure.Some.List

type Nonempty List = Construction Maybe

type Nonempty Rose

Defined in Pandora.Paradigm.Structure.Some.Rose

type Nonempty Rose = Construction List

type Combinative List

Defined in Pandora.Paradigm.Structure.Some.List

type Combinative List = Comprehension Maybe

type Breadcrumbs List

Defined in Pandora.Paradigm.Structure.Some.List

type Breadcrumbs List = Reverse List <:*:> List

type Topping List

Defined in Pandora.Paradigm.Structure.Some.List

type Topping List = Maybe

type Popping List

Defined in Pandora.Paradigm.Structure.Some.List

type Popping List = List

type Pushing List

Defined in Pandora.Paradigm.Structure.Some.List

type Pushing List = List

type Breadcrumbs (Construction List)

Defined in Pandora.Paradigm.Structure.Some.Rose

type Breadcrumbs (Construction List) = Roses <:*:> (Reverse Roses <:*:> (Roses <:*:> (List <::> Tape Roses)))

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.Binary

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

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

Defined in Pandora.Paradigm.Structure.Some.Binary

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

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) (Vector r)

Defined in Pandora.Paradigm.Structure

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

type Morphing ('Into List) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

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

type Morphing ('Into List) (Tape List)

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.Rose

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

type Morphing ('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 > Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

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

type Morphing ('Into List) (Construction Maybe <::> Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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 (TT ct ct' t t') a

Defined in Pandora.Paradigm.Schemes.TT

type Primary (TT ct ct' t t') a = (t :. t') > a

type (<::>) = TT Covariant Covariant infixr 3

type (>::>) = TT Contravariant Covariant infixr 3

type (<::<) = TT Covariant Contravariant infixr 3

type (>::<) = TT Contravariant Contravariant infixr 3