Pandora.Paradigm.Schemes.TU

Documentation

newtype TU ct cu t u a

Constructors

TU ((t :. u) := a)

Instances

Insertable Stack

Defined in Pandora.Paradigm.Structure.Stack

Methods

insert :: a -> Stack a -> Stack a

(forall a. Chain a) => Insertable Binary

Defined in Pandora.Paradigm.Structure.Binary

Methods

insert :: a -> Binary a -> Binary a

Deletable Stack

Defined in Pandora.Paradigm.Structure.Stack

Methods

delete :: Setoid a => a -> Stack a -> Stack a

Measurable 'Length Stack

Defined in Pandora.Paradigm.Structure.Stack

Associated Types

type Measural 'Length Stack a

Methods

measurement :: Tagged 'Length (Stack a) -> Measural 'Length Stack a

Measurable 'Heighth Binary

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Measural 'Heighth Binary a

Methods

measurement :: Tagged 'Heighth (Binary a) -> Measural 'Heighth Binary a

Morphable o (Construction Wye) => Morphable (o :: k) Binary

Defined in Pandora.Paradigm.Structure

Associated Types

type Morphing o Binary :: Type -> Type

Methods

morphing :: (Tagged o <:.> Binary) ~> Morphing o Binary

Monotonic a ((Maybe <:.> Construction Maybe) := a)

Defined in Pandora.Paradigm.Structure.Stack

Methods

reduce :: (a -> r -> r) -> r -> ((Maybe <:.> Construction Maybe) := a) -> r

resolve :: (a -> r) -> r -> ((Maybe <:.> Construction Maybe) := a) -> r

Extendable (Tap ((:*:) <:.:> Stack))

Defined in Pandora.Paradigm.Structure.Stack

Methods

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

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

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

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

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

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

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

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

Semigroup (Stack a)

Defined in Pandora.Paradigm.Structure.Stack

Methods

(+) :: Stack a -> Stack a -> Stack a

Monoid (Stack a)

Defined in Pandora.Paradigm.Structure.Stack

Methods

zero :: Stack a

Setoid a => Setoid (Stack a)

Defined in Pandora.Paradigm.Structure.Stack

Methods

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

(/=) :: Stack a -> Stack a -> Boolean

Nullable Stack

Defined in Pandora.Paradigm.Structure.Stack

Methods

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

Nullable Rose

Defined in Pandora.Paradigm.Structure.Rose

Methods

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

Nullable Binary

Defined in Pandora.Paradigm.Structure.Binary

Methods

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

Focusable ('Root :: Type -> Location Type) Rose

Defined in Pandora.Paradigm.Structure.Rose

Associated Types

type Focusing 'Root Rose a

Methods

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

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

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Focusing 'Root Binary a

Methods

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

Focusable ('Head :: Type -> Location Type) Stack

Defined in Pandora.Paradigm.Structure.Stack

Associated Types

type Focusing 'Head Stack a

Methods

focusing :: Tagged 'Head (Stack a) :-. Focusing 'Head Stack a

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

Defined in Pandora.Paradigm.Structure.Rose

Associated Types

type Focusing 'Root (Construction Stack) a

Methods

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

Morphable ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Stack))

Defined in Pandora.Paradigm.Structure.Stack

Associated Types

type Morphing ('Rotate 'Right) (Tap ((:*:) <:.:> Stack)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Right) <:.> Tap ((:*:) <:.:> Stack)) ~> Morphing ('Rotate 'Right) (Tap ((:*:) <:.:> Stack))

Morphable ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Stack))

Defined in Pandora.Paradigm.Structure.Stack

Associated Types

type Morphing ('Rotate 'Left) (Tap ((:*:) <:.:> Stack)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Left) <:.> Tap ((:*:) <:.:> Stack)) ~> Morphing ('Rotate 'Left) (Tap ((:*:) <:.:> Stack))

Morphable ('Down ('Right :: a -> Wye a) :: Vertical (a -> Wye a)) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye)))

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Morphing ('Down 'Right) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) :: Type -> Type

Methods

morphing :: (Tagged ('Down 'Right) <:.> T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) ~> Morphing ('Down 'Right) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye)))

Morphable ('Down ('Left :: a -> Wye a) :: Vertical (a -> Wye a)) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye)))

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Morphing ('Down 'Left) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) :: Type -> Type

Methods

morphing :: (Tagged ('Down 'Left) <:.> T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) ~> Morphing ('Down 'Left) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye)))

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

Defined in Pandora.Paradigm.Schemes.TU

Methods

hoist :: forall (u :: Type -> Type) (v :: Type -> Type). Covariant u => (u ~> v) -> TU Covariant Covariant t u ~> TU Covariant Covariant t v

Morphable Stack (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Stack

Associated Types

type Morphing Stack (Construction Maybe) :: Type -> Type

Methods

morphing :: (Tagged Stack <:.> Construction Maybe) ~> Morphing Stack (Construction Maybe)

Substructure ('Tail :: a -> Segment a) Stack

Defined in Pandora.Paradigm.Structure.Stack

Associated Types

type Substructural 'Tail Stack :: Type -> Type

Methods

substructure :: (Tagged 'Tail <:.> Stack) :~. Substructural 'Tail Stack

sub :: Stack :~. Substructural 'Tail Stack

subview :: Stack ~> Substructural 'Tail Stack

substitute :: (Substructural 'Tail Stack a0 -> Substructural 'Tail Stack a0) -> Stack a0 -> Stack a0

subplace :: Substructural 'Tail Stack a0 -> Stack a0 -> Stack a0

Substructure ('Just :: a -> Maybe a) Rose

Defined in Pandora.Paradigm.Structure.Rose

Associated Types

type Substructural 'Just Rose :: Type -> Type

Methods

substructure :: (Tagged 'Just <:.> Rose) :~. Substructural 'Just Rose

sub :: Rose :~. Substructural 'Just Rose

subview :: Rose ~> Substructural 'Just Rose

substitute :: (Substructural 'Just Rose a0 -> Substructural 'Just Rose a0) -> Rose a0 -> Rose a0

subplace :: Substructural 'Just Rose a0 -> Rose a0 -> Rose a0

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

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Substructural 'Right Binary :: Type -> Type

Methods

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

sub :: Binary :~. Substructural 'Right Binary

subview :: Binary ~> Substructural 'Right Binary

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

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

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

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Substructural 'Left Binary :: Type -> Type

Methods

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

sub :: Binary :~. Substructural 'Left Binary

subview :: Binary ~> Substructural 'Left Binary

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

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

Substructure ('Just :: a -> Maybe a) (Construction Stack)

Defined in Pandora.Paradigm.Structure.Rose

Associated Types

type Substructural 'Just (Construction Stack) :: Type -> Type

Methods

substructure :: (Tagged 'Just <:.> Construction Stack) :~. Substructural 'Just (Construction Stack)

sub :: Construction Stack :~. Substructural 'Just (Construction Stack)

subview :: Construction Stack ~> Substructural 'Just (Construction Stack)

substitute :: (Substructural 'Just (Construction Stack) a0 -> Substructural 'Just (Construction Stack) a0) -> Construction Stack a0 -> Construction Stack a0

subplace :: Substructural 'Just (Construction Stack) a0 -> Construction Stack a0 -> Construction Stack a0

Morphable ('Up :: a -> Vertical a) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye)))

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Morphing 'Up (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) :: Type -> Type

Methods

morphing :: (Tagged 'Up <:.> T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) ~> Morphing 'Up (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye)))

(Covariant t, Covariant u) => Covariant (t <:.> u)

Defined in Pandora.Paradigm.Schemes.TU

Methods

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

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

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

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

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

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

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

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

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

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

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

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

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

(Bindable t, Distributive t, Bindable u) => Bindable (t <:.> u)

Defined in Pandora.Paradigm.Schemes.TU

Methods

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

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

bind :: (a -> (t <:.> u) b) -> (t <:.> u) a -> (t <:.> u) b

join :: (((t <:.> u) :. (t <:.> u)) := a) -> (t <:.> u) a

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

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

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

(Applicative t, Applicative u) => Applicative (t <:.> u)

Defined in Pandora.Paradigm.Schemes.TU

Methods

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

apply :: (t <:.> u) (a -> b) -> (t <:.> u) a -> (t <:.> u) b

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

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

forever :: (t <:.> u) a -> (t <:.> u) b

(<**>) :: Applicative u0 => (((t <:.> u) :. u0) := (a -> b)) -> (((t <:.> u) :. u0) := a) -> ((t <:.> u) :. u0) := b

(<***>) :: (Applicative u0, Applicative v) => (((t <:.> u) :. (u0 :. v)) := (a -> b)) -> (((t <:.> u) :. (u0 :. v)) := a) -> ((t <:.> u) :. (u0 :. v)) := b

(<****>) :: (Applicative u0, Applicative v, Applicative w) => (((t <:.> u) :. (u0 :. (v :. w))) := (a -> b)) -> (((t <:.> u) :. (u0 :. (v :. w))) := a) -> ((t <:.> u) :. (u0 :. (v :. w))) := b

(Covariant u, Alternative t) => Alternative (t <:.> u)

Defined in Pandora.Paradigm.Schemes.TU

Methods

(<+>) :: (t <:.> u) a -> (t <:.> u) a -> (t <:.> u) a

alter :: (t <:.> u) a -> (t <:.> u) a -> (t <:.> u) a

(Covariant u, Avoidable t) => Avoidable (t <:.> u)

Defined in Pandora.Paradigm.Schemes.TU

Methods

empty :: (t <:.> u) a

Extendable u => Extendable ((:*:) e <:.> u)

Defined in Pandora.Paradigm.Inventory.Equipment

Methods

(=>>) :: ((:*:) e <:.> u) a -> (((:*:) e <:.> u) a -> b) -> ((:*:) e <:.> u) b

(<<=) :: (((:*:) e <:.> u) a -> b) -> ((:*:) e <:.> u) a -> ((:*:) e <:.> u) b

extend :: (((:*:) e <:.> u) a -> b) -> ((:*:) e <:.> u) a -> ((:*:) e <:.> u) b

duplicate :: ((:*:) e <:.> u) a -> (((:*:) e <:.> u) :. ((:*:) e <:.> u)) := a

(=<=) :: (((:*:) e <:.> u) b -> c) -> (((:*:) e <:.> u) a -> b) -> ((:*:) e <:.> u) a -> c

(=>=) :: (((:*:) e <:.> u) a -> b) -> (((:*:) e <:.> u) b -> c) -> ((:*:) e <:.> u) a -> c

($=>>) :: Covariant u0 => ((u0 :. ((:*:) e <:.> u)) := a) -> (((:*:) e <:.> u) a -> b) -> (u0 :. ((:*:) e <:.> u)) := b

(<<=$) :: Covariant u0 => ((u0 :. ((:*:) e <:.> u)) := a) -> (((:*:) e <:.> u) a -> b) -> (u0 :. ((:*:) e <:.> u)) := b

(Extractable t, Extractable u) => Extractable (t <:.> u)

Defined in Pandora.Paradigm.Schemes.TU

Methods

extract :: a <:= (t <:.> u)

(Pointable t, Pointable u) => Pointable (t <:.> u)

Defined in Pandora.Paradigm.Schemes.TU

Methods

point :: a :=> (t <:.> u)

(Traversable t, Traversable u) => Traversable (t <:.> u)

Defined in Pandora.Paradigm.Schemes.TU

Methods

(->>) :: (Pointable u0, Applicative u0) => (t <:.> u) a -> (a -> u0 b) -> (u0 :. (t <:.> u)) := b

traverse :: (Pointable u0, Applicative u0) => (a -> u0 b) -> (t <:.> u) a -> (u0 :. (t <:.> u)) := b

sequence :: (Pointable u0, Applicative u0) => (((t <:.> u) :. u0) := a) -> (u0 :. (t <:.> u)) := a

(->>>) :: (Pointable u0, Applicative u0, Traversable v) => ((v :. (t <:.> u)) := a) -> (a -> u0 b) -> (u0 :. (v :. (t <:.> u))) := b

(->>>>) :: (Pointable u0, Applicative u0, Traversable v, Traversable w) => ((w :. (v :. (t <:.> u))) := a) -> (a -> u0 b) -> (u0 :. (w :. (v :. (t <:.> u)))) := b

(->>>>>) :: (Pointable u0, Applicative u0, Traversable v, Traversable w, Traversable j) => ((j :. (w :. (v :. (t <:.> u)))) := a) -> (a -> u0 b) -> (u0 :. (j :. (w :. (v :. (t <:.> u))))) := b

(Covariant (t <.:> v), Covariant (w <:.> u), Adjoint v u, Adjoint t w) => Adjoint (t <.:> v) (w <:.> u)

Defined in Pandora.Paradigm.Schemes

Methods

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

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

phi :: ((t <.:> v) a -> b) -> a -> (w <:.> u) b

psi :: (a -> (w <:.> u) b) -> (t <.:> v) a -> b

eta :: a -> ((w <:.> u) :. (t <.:> v)) := a

epsilon :: (((t <.:> v) :. (w <:.> u)) := a) -> a

(-|$) :: Covariant v0 => v0 a -> ((t <.:> v) a -> b) -> v0 ((w <:.> u) b)

($|-) :: Covariant v0 => v0 ((t <.:> v) a) -> (a -> (w <:.> u) b) -> v0 b

($$|-) :: (Covariant v0, Covariant w0) => ((v0 :. (w0 :. (t <.:> v))) := a) -> (a -> (w <:.> u) b) -> (v0 :. w0) := b

($$$|-) :: (Covariant v0, Covariant w0, Covariant x) => ((v0 :. (w0 :. (x :. (t <.:> v)))) := a) -> (a -> (w <:.> u) b) -> (v0 :. (w0 :. x)) := b

($$$$|-) :: (Covariant v0, Covariant w0, Covariant x, Covariant y) => ((v0 :. (w0 :. (x :. (y :. (t <.:> v))))) := a) -> (a -> (w <:.> u) b) -> (v0 :. (w0 :. (x :. y))) := b

(Covariant (v <:.> t), Covariant (w <.:> u), Adjoint t u, Adjoint v w) => Adjoint (v <:.> t) (w <.:> u)

Defined in Pandora.Paradigm.Schemes

Methods

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

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

phi :: ((v <:.> t) a -> b) -> a -> (w <.:> u) b

psi :: (a -> (w <.:> u) b) -> (v <:.> t) a -> b

eta :: a -> ((w <.:> u) :. (v <:.> t)) := a

epsilon :: (((v <:.> t) :. (w <.:> u)) := a) -> a

(-|$) :: Covariant v0 => v0 a -> ((v <:.> t) a -> b) -> v0 ((w <.:> u) b)

($|-) :: Covariant v0 => v0 ((v <:.> t) a) -> (a -> (w <.:> u) b) -> v0 b

($$|-) :: (Covariant v0, Covariant w0) => ((v0 :. (w0 :. (v <:.> t))) := a) -> (a -> (w <.:> u) b) -> (v0 :. w0) := b

($$$|-) :: (Covariant v0, Covariant w0, Covariant x) => ((v0 :. (w0 :. (x :. (v <:.> t)))) := a) -> (a -> (w <.:> u) b) -> (v0 :. (w0 :. x)) := b

($$$$|-) :: (Covariant v0, Covariant w0, Covariant x, Covariant y) => ((v0 :. (w0 :. (x :. (y :. (v <:.> t))))) := a) -> (a -> (w <.:> u) b) -> (v0 :. (w0 :. (x :. y))) := b

(Covariant (v <:.> t), Covariant (u <:.> w), Adjoint t u, Adjoint v w) => Adjoint (v <:.> t) (u <:.> w)

Defined in Pandora.Paradigm.Schemes

Methods

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

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

phi :: ((v <:.> t) a -> b) -> a -> (u <:.> w) b

psi :: (a -> (u <:.> w) b) -> (v <:.> t) a -> b

eta :: a -> ((u <:.> w) :. (v <:.> t)) := a

epsilon :: (((v <:.> t) :. (u <:.> w)) := a) -> a

(-|$) :: Covariant v0 => v0 a -> ((v <:.> t) a -> b) -> v0 ((u <:.> w) b)

($|-) :: Covariant v0 => v0 ((v <:.> t) a) -> (a -> (u <:.> w) b) -> v0 b

($$|-) :: (Covariant v0, Covariant w0) => ((v0 :. (w0 :. (v <:.> t))) := a) -> (a -> (u <:.> w) b) -> (v0 :. w0) := b

($$$|-) :: (Covariant v0, Covariant w0, Covariant x) => ((v0 :. (w0 :. (x :. (v <:.> t)))) := a) -> (a -> (u <:.> w) b) -> (v0 :. (w0 :. x)) := b

($$$$|-) :: (Covariant v0, Covariant w0, Covariant x, Covariant y) => ((v0 :. (w0 :. (x :. (y :. (v <:.> t))))) := a) -> (a -> (u <:.> w) b) -> (v0 :. (w0 :. (x :. y))) := b

Pointable t => Liftable (TU Covariant Covariant t :: (Type -> Type) -> Type -> Type)

Defined in Pandora.Paradigm.Schemes.TU

Methods

lift :: forall (u :: Type -> Type). Covariant u => u ~> TU Covariant Covariant t u

Extractable t => Lowerable (TU Covariant Covariant t :: (Type -> Type) -> Type -> Type)

Defined in Pandora.Paradigm.Schemes.TU

Methods

lower :: forall (u :: Type -> Type). Covariant u => TU Covariant Covariant t u ~> u

Interpreted (TU ct cu t u)

Defined in Pandora.Paradigm.Schemes.TU

Associated Types

type Primary (TU ct cu t u) a

Methods

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

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

(||=) :: (Primary (TU ct cu t u) a -> Primary (TU ct cu t u) b) -> TU ct cu t u a -> TU ct cu t u b

type Nonempty Stack

Defined in Pandora.Paradigm.Structure.Stack

type Nonempty Stack = Construction Maybe

type Nonempty Rose

Defined in Pandora.Paradigm.Structure.Rose

type Nonempty Rose = Construction Stack

type Nonempty Binary

Defined in Pandora.Paradigm.Structure.Binary

type Nonempty Binary = Construction Wye

type Zipper Stack

Defined in Pandora.Paradigm.Structure.Stack

type Zipper Stack = Tap ((:*:) <:.:> Stack)

type Morphing (o :: k) Binary

Defined in Pandora.Paradigm.Structure

type Morphing (o :: k) Binary = Maybe <:.> Morphing o (Construction Wye)

type Measural 'Length Stack a

Defined in Pandora.Paradigm.Structure.Stack

type Measural 'Length Stack a = Numerator

type Measural 'Heighth Binary a

Defined in Pandora.Paradigm.Structure.Binary

type Measural 'Heighth Binary a = Numerator

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

Defined in Pandora.Paradigm.Structure.Rose

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

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

Defined in Pandora.Paradigm.Structure.Binary

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

type Focusing ('Head :: Type -> Location Type) Stack a

Defined in Pandora.Paradigm.Structure.Stack

type Focusing ('Head :: Type -> Location Type) Stack a = Maybe a

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

Defined in Pandora.Paradigm.Structure.Rose

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

type Morphing ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Stack))

Defined in Pandora.Paradigm.Structure.Stack

type Morphing ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Stack)) = Maybe <:.> Zipper Stack

type Morphing ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Stack))

Defined in Pandora.Paradigm.Structure.Stack

type Morphing ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Stack)) = Maybe <:.> Zipper Stack

type Morphing ('Down ('Right :: a -> Wye a) :: Vertical (a -> Wye a)) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye)))

Defined in Pandora.Paradigm.Structure.Binary

type Morphing ('Down ('Right :: a -> Wye a) :: Vertical (a -> Wye a)) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) = Maybe <:.> T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))

type Morphing ('Down ('Left :: a -> Wye a) :: Vertical (a -> Wye a)) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye)))

Defined in Pandora.Paradigm.Structure.Binary

type Morphing ('Down ('Left :: a -> Wye a) :: Vertical (a -> Wye a)) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) = Maybe <:.> T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))

type Morphing Stack (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Stack

type Morphing Stack (Construction Maybe) = Stack

type Substructural ('Tail :: a -> Segment a) Stack

Defined in Pandora.Paradigm.Structure.Stack

type Substructural ('Tail :: a -> Segment a) Stack = Stack

type Substructural ('Just :: a -> Maybe a) Rose

Defined in Pandora.Paradigm.Structure.Rose

type Substructural ('Just :: a -> Maybe a) Rose = Stack <:.> Construction Stack

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

Defined in Pandora.Paradigm.Structure.Binary

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

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

Defined in Pandora.Paradigm.Structure.Binary

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

type Substructural ('Just :: a -> Maybe a) (Construction Stack)

Defined in Pandora.Paradigm.Structure.Rose

type Substructural ('Just :: a -> Maybe a) (Construction Stack) = Stack <:.> Construction Stack

type Morphing ('Up :: a -> Vertical a) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye)))

Defined in Pandora.Paradigm.Structure.Binary

type Morphing ('Up :: a -> Vertical a) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) = Maybe <:.> T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))

type Primary (TU ct cu t u) a

Defined in Pandora.Paradigm.Schemes.TU

type Primary (TU ct cu t u) a = (t :. u) := a

type (<:.>) = TU Covariant Covariant

type (>:.>) = TU Contravariant Covariant

type (<:.<) = TU Covariant Contravariant

type (>:.<) = TU Contravariant Contravariant