Pandora.Paradigm.Primary.Functor.Product

Documentation

data Product s a

Constructors

s :*: a infixr 1

Instances

Bivariant Product

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

(<->) :: (a -> b) -> (c -> d) -> Product a c -> Product b d

bimap :: (a -> b) -> (c -> d) -> Product a c -> Product b d

Monotonic s a => Monotonic s (s :*: a)

Defined in Pandora.Paradigm.Structure

Methods

reduce :: (s -> r -> r) -> r -> (s :*: a) -> r

resolve :: (s -> r) -> r -> (s :*: a) -> r

Accessible b a => Accessible b (s :*: a)

Defined in Pandora.Paradigm.Structure

Methods

access :: (s :*: a) :-. b

Accessible a (s :*: a)

Defined in Pandora.Paradigm.Structure

Methods

access :: (s :*: a) :-. a

Accessible s (s :*: a)

Defined in Pandora.Paradigm.Structure

Methods

access :: (s :*: a) :-. s

Covariant (Product s)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

(<$>) :: (a -> b) -> Product s a -> Product s b

comap :: (a -> b) -> Product s a -> Product s b

(<$) :: a -> Product s b -> Product s a

($>) :: Product s a -> b -> Product s b

void :: Product s a -> Product s ()

loeb :: Product s (a <:= Product s) -> Product s a

(<&>) :: Product s a -> (a -> b) -> Product s b

(<$$>) :: Covariant u => (a -> b) -> ((Product s :. u) := a) -> (Product s :. u) := b

(<$$$>) :: (Covariant u, Covariant v) => (a -> b) -> ((Product s :. (u :. v)) := a) -> (Product s :. (u :. v)) := b

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

(<&&>) :: Covariant u => ((Product s :. u) := a) -> (a -> b) -> (Product s :. u) := b

(<&&&>) :: (Covariant u, Covariant v) => ((Product s :. (u :. v)) := a) -> (a -> b) -> (Product s :. (u :. v)) := b

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

Extendable (Product s)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

(=>>) :: Product s a -> (Product s a -> b) -> Product s b

(<<=) :: (Product s a -> b) -> Product s a -> Product s b

extend :: (Product s a -> b) -> Product s a -> Product s b

duplicate :: Product s a -> (Product s :. Product s) := a

(=<=) :: (Product s b -> c) -> (Product s a -> b) -> Product s a -> c

(=>=) :: (Product s a -> b) -> (Product s b -> c) -> Product s a -> c

($=>>) :: Covariant u => ((u :. Product s) := a) -> (Product s a -> b) -> (u :. Product s) := b

(<<=$) :: Covariant u => ((u :. Product s) := a) -> (Product s a -> b) -> (u :. Product s) := b

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

Defined in Pandora.Paradigm.Structure.Some.Stream

Methods

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

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

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

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

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

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

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

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

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

Defined in Pandora.Paradigm.Structure.Some.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

Extractable (Product a)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

extract :: a0 <:= Product a

Comonad (Product s)

Defined in Pandora.Paradigm.Primary.Functor.Product

Traversable (Product s)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

(->>) :: (Pointable u, Applicative u) => Product s a -> (a -> u b) -> (u :. Product s) := b

traverse :: (Pointable u, Applicative u) => (a -> u b) -> Product s a -> (u :. Product s) := b

sequence :: (Pointable u, Applicative u) => ((Product s :. u) := a) -> (u :. Product s) := a

(->>>) :: (Pointable u, Applicative u, Traversable v) => ((v :. Product s) := a) -> (a -> u b) -> (u :. (v :. Product s)) := b

(->>>>) :: (Pointable u, Applicative u, Traversable v, Traversable w) => ((w :. (v :. Product s)) := a) -> (a -> u b) -> (u :. (w :. (v :. Product s))) := b

(->>>>>) :: (Pointable u, Applicative u, Traversable v, Traversable w, Traversable j) => ((j :. (w :. (v :. Product s))) := a) -> (a -> u b) -> (u :. (j :. (w :. (v :. Product s)))) := b

Focusable ('Left :: Type -> Wye Type) (Product s)

Defined in Pandora.Paradigm.Structure

Associated Types

type Focusing 'Left (Product s) a

Methods

focusing :: Tagged 'Left (Product s a) :-. Focusing 'Left (Product s) a

Focusable ('Right :: Type -> Wye Type) (Product s)

Defined in Pandora.Paradigm.Structure

Associated Types

type Focusing 'Right (Product s) a

Methods

focusing :: Tagged 'Right (Product s a) :-. Focusing 'Right (Product s) a

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

Defined in Pandora.Paradigm.Structure.Some.Stream

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Stream

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Stack

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Stack

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.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.Some.Stack

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Primary

Associated Types

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

Methods

morphing :: (Tagged ('Into Wye) <:.> ((:*:) <:.:> Maybe)) ~> Morphing ('Into Wye) ((:*:) <:.:> Maybe)

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

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

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

Methods

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

Adjoint (Product s) ((->) s :: Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor

Methods

(-|) :: a -> (Product s a -> b) -> s -> b

(|-) :: Product s a -> (a -> s -> b) -> b

phi :: (Product s a -> b) -> a -> s -> b

psi :: (a -> s -> b) -> Product s a -> b

eta :: a -> ((->) s :. Product s) := a

epsilon :: ((Product s :. (->) s) := a) -> a

(-|$) :: Covariant v => v a -> (Product s a -> b) -> v (s -> b)

($|-) :: Covariant v => v (Product s a) -> (a -> s -> b) -> v b

($$|-) :: (Covariant v, Covariant w) => ((v :. (w :. Product s)) := a) -> (a -> s -> b) -> (v :. w) := b

($$$|-) :: (Covariant v, Covariant w, Covariant x) => ((v :. (w :. (x :. Product s))) := a) -> (a -> s -> b) -> (v :. (w :. x)) := b

($$$$|-) :: (Covariant v, Covariant w, Covariant x, Covariant y) => ((v :. (w :. (x :. (y :. Product s)))) := a) -> (a -> s -> b) -> (v :. (w :. (x :. y))) := b

(Semigroup s, Semigroup a) => Semigroup (s :*: a)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

(+) :: (s :*: a) -> (s :*: a) -> s :*: a

(Ringoid s, Ringoid a) => Ringoid (s :*: a)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

(*) :: (s :*: a) -> (s :*: a) -> s :*: a

(Monoid s, Monoid a) => Monoid (s :*: a)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

zero :: s :*: a

(Quasiring s, Quasiring a) => Quasiring (s :*: a)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

one :: s :*: a

(Group s, Group a) => Group (s :*: a)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

invert :: (s :*: a) -> s :*: a

(-) :: (s :*: a) -> (s :*: a) -> s :*: a

(Supremum s, Supremum a) => Supremum (s :*: a)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

(\/) :: (s :*: a) -> (s :*: a) -> s :*: a

(Infimum s, Infimum a) => Infimum (s :*: a)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

(/\) :: (s :*: a) -> (s :*: a) -> s :*: a

(Lattice s, Lattice a) => Lattice (s :*: a)

Defined in Pandora.Paradigm.Primary.Functor.Product

(Setoid s, Setoid a) => Setoid (s :*: a)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

(==) :: (s :*: a) -> (s :*: a) -> Boolean

(!=) :: (s :*: a) -> (s :*: a) -> Boolean

Substructure ('Right :: a -> Wye a) (Product s)

Defined in Pandora.Paradigm.Structure

Associated Types

type Substructural 'Right (Product s) :: Type -> Type

Methods

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

sub :: Product s :~. Substructural 'Right (Product s)

subview :: Product s ~> Substructural 'Right (Product s)

substitute :: (Substructural 'Right (Product s) a0 -> Substructural 'Right (Product s) a0) -> Product s a0 -> Product s a0

subplace :: Substructural 'Right (Product s) a0 -> Product s a0 -> Product s a0

(Semigroup e, Pointable u, Bindable u) => Bindable ((:*:) e <.:> u)

Defined in Pandora.Paradigm.Inventory.Accumulator

Methods

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

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

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

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

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

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

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

(Semigroup e, Applicative u) => Applicative ((:*:) e <.:> u)

Defined in Pandora.Paradigm.Inventory.Accumulator

Methods

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

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

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

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

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

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

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

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

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

(Pointable u, Monoid e) => Pointable ((:*:) e <.:> u)

Defined in Pandora.Paradigm.Inventory.Accumulator

Methods

point :: a :=> ((:*:) e <.:> u)

type Focusing ('Left :: Type -> Wye Type) (Product s) a

Defined in Pandora.Paradigm.Structure

type Focusing ('Left :: Type -> Wye Type) (Product s) a = s

type Focusing ('Right :: Type -> Wye Type) (Product s) a

Defined in Pandora.Paradigm.Structure

type Focusing ('Right :: Type -> Wye Type) (Product s) a = a

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

Defined in Pandora.Paradigm.Structure.Some.Stream

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

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

Defined in Pandora.Paradigm.Structure.Some.Stream

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

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

Defined in Pandora.Paradigm.Structure.Some.Stack

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

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

Defined in Pandora.Paradigm.Structure.Some.Stack

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

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

Defined in Pandora.Paradigm.Structure.Some.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.Some.Stack

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

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

Defined in Pandora.Paradigm.Primary

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

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

Defined in Pandora.Paradigm.Structure.Some.Binary

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

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

Defined in Pandora.Paradigm.Structure.Some.Binary

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

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

Defined in Pandora.Paradigm.Structure.Some.Binary

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

type Substructural ('Right :: a -> Wye a) (Product s)

Defined in Pandora.Paradigm.Structure

type Substructural ('Right :: a -> Wye a) (Product s) = Identity

type (:*:) = Product infixr 1

delta :: a -> a :*: a

swap :: (a :*: b) -> b :*: a

attached :: (a :*: b) -> a