Pandora.Paradigm.Structure.Ability.Morphable

Documentation

class Morphable f t | f t -> t where

Associated Types

type Morphing (f :: k) (t :: * -> *) :: * -> *

Methods

morphing :: (Tagged f <:.> t) ~> Morphing f t

Instances

Morphable ('Into (Flip Conclusion e) :: Morph (Type -> Type)) Maybe

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into (Flip Conclusion e)) Maybe :: Type -> Type

Methods

morphing :: (Tagged ('Into (Flip Conclusion e)) <:.> Maybe) ~> Morphing ('Into (Flip Conclusion e)) Maybe

Morphable ('Into (Tap ((List <:.:> List) := (:*:)))) List

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) List :: Type -> Type

Methods

morphing :: (Tagged ('Into (Tap ((List <:.:> List) := (:*:)))) <:.> List) ~> Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) List

Morphable ('Into (Conclusion e) :: Morph (Type -> Type)) Maybe

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into (Conclusion e)) Maybe :: Type -> Type

Methods

morphing :: (Tagged ('Into (Conclusion e)) <:.> Maybe) ~> Morphing ('Into (Conclusion e)) Maybe

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

Morphable ('Into (o ds)) (Construction Wye) => Morphable ('Into (o ds) :: Morph a) Binary

Defined in Pandora.Paradigm.Structure

Associated Types

type Morphing ('Into (o ds)) Binary :: Type -> Type

Methods

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

Morphable ('Into ('Left Maybe)) Wye

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into ('Left Maybe)) Wye :: Type -> Type

Methods

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

Morphable ('Into ('Right Maybe)) Wye

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into ('Right Maybe)) Wye :: Type -> Type

Methods

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

Morphable ('Into (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))) (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))) (Tap ((List <:.:> List) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Into (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))) <:.> Tap ((List <:.:> List) := (:*:))) ~> Morphing ('Into (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))) (Tap ((List <:.:> List) := (:*:)))

Morphable ('Into (Tap ((List <:.:> List) := (:*:)))) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Into (Tap ((List <:.:> List) := (:*:)))) <:.> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) ~> Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Morphable ('Into (Tap ((List <:.:> List) := (:*:)))) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) (Construction Maybe) :: Type -> Type

Methods

morphing :: (Tagged ('Into (Tap ((List <:.:> List) := (:*:)))) <:.> Construction Maybe) ~> Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) (Construction Maybe)

Morphable ('Into (Construction Maybe)) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into (Construction Maybe)) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Into (Construction Maybe)) <:.> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) ~> Morphing ('Into (Construction Maybe)) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Morphable ('Into (Construction Maybe)) (Vector r)

Defined in Pandora.Paradigm.Primary.Linear.Vector

Associated Types

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

Methods

morphing :: (Tagged ('Into (Construction Maybe)) <:.> Vector r) ~> Morphing ('Into (Construction Maybe)) (Vector r)

Morphable ('Into Maybe) (Conclusion e)

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into Maybe) (Conclusion e) :: Type -> Type

Methods

morphing :: (Tagged ('Into Maybe) <:.> Conclusion e) ~> Morphing ('Into Maybe) (Conclusion e)

Morphable ('Into List) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into List) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Into List) <:.> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) ~> Morphing ('Into List) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Morphable ('Into List) (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into List) (Tap ((List <:.:> List) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Into List) <:.> Tap ((List <:.:> List) := (:*:))) ~> Morphing ('Into List) (Tap ((List <:.:> List) := (:*:)))

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) (Vector r)

Defined in Pandora.Paradigm.Primary.Linear.Vector

Associated Types

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

Methods

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

Morphable ('Into Binary) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Into Binary) (Construction Wye) :: Type -> Type

Methods

morphing :: (Tagged ('Into Binary) <:.> Construction Wye) ~> Morphing ('Into Binary) (Construction Wye)

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

Defined in Pandora.Paradigm.Structure.Some.Stream

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Stream

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

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

Morphable ('Into ('There Maybe :: Wedge e1 (Type -> Type)) :: Morph (Wedge e1 (Type -> Type))) (Wedge e2)

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into ('There Maybe)) (Wedge e2) :: Type -> Type

Methods

morphing :: (Tagged ('Into ('There Maybe)) <:.> Wedge e2) ~> Morphing ('Into ('There Maybe)) (Wedge e2)

Morphable ('Into ('This Maybe :: These e1 (Type -> Type)) :: Morph (These e1 (Type -> Type))) (These e2)

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into ('This Maybe)) (These e2) :: Type -> Type

Methods

morphing :: (Tagged ('Into ('This Maybe)) <:.> These e2) ~> Morphing ('Into ('This Maybe)) (These e2)

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

morphing :: (Tagged ('Rotate ('Right 'Zig)) <:.> Construction Wye) ~> Morphing ('Rotate ('Right 'Zig)) (Construction Wye)

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

morphing :: (Tagged ('Rotate ('Left 'Zig)) <:.> Construction Wye) ~> Morphing ('Rotate ('Left 'Zig)) (Construction Wye)

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

morphing :: (Tagged ('Rotate ('Right ('Zig 'Zag))) <:.> Construction Wye) ~> Morphing ('Rotate ('Right ('Zig 'Zag))) (Construction Wye)

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

morphing :: (Tagged ('Rotate ('Left ('Zig 'Zag))) <:.> Construction Wye) ~> Morphing ('Rotate ('Left ('Zig 'Zag))) (Construction Wye)

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

morphing :: (Tagged ('Rotate ('Right ('Zig 'Zig))) <:.> Construction Wye) ~> Morphing ('Rotate ('Right ('Zig 'Zig))) (Construction Wye)

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

morphing :: (Tagged ('Rotate ('Left ('Zig 'Zig))) <:.> Construction Wye) ~> Morphing ('Rotate ('Left ('Zig 'Zig))) (Construction Wye)

Morphable ('Into ('Preorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

Associated Types

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

Methods

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

Morphable ('Into ('Inorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

Associated Types

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

Methods

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

Morphable ('Into ('Postorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

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

Methods

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

Morphable ('Into ('Here Maybe :: Wedge (Type -> Type) a1) :: Morph (Wedge (Type -> Type) a1)) (Flip Wedge a2)

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into ('Here Maybe)) (Flip Wedge a2) :: Type -> Type

Methods

morphing :: (Tagged ('Into ('Here Maybe)) <:.> Flip Wedge a2) ~> Morphing ('Into ('Here Maybe)) (Flip Wedge a2)

Morphable ('Into ('That Maybe :: These (Type -> Type) a1) :: Morph (These (Type -> Type) a1)) (Flip These a2)

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into ('That Maybe)) (Flip These a2) :: Type -> Type

Methods

morphing :: (Tagged ('Into ('That Maybe)) <:.> Flip These a2) ~> Morphing ('Into ('That Maybe)) (Flip These a2)

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

Defined in Pandora.Paradigm.Primary

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)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Rotate 'Up) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Up) <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))) ~> Morphing ('Rotate 'Up) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Morphable ('Rotate ('Down ('Right :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Rotate ('Down 'Right)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Down 'Right)) <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))) ~> Morphing ('Rotate ('Down 'Right)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Morphable ('Rotate ('Down ('Left :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Rotate ('Down 'Left)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Down 'Left)) <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))) ~> Morphing ('Rotate ('Down 'Left)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

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

Morphable ('Insert :: a -> Morph a) Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing 'Insert Binary :: Type -> Type

Methods

morphing :: (Tagged 'Insert <:.> Binary) ~> Morphing 'Insert Binary

Pointable t => Morphable ('Push :: a -> Morph a) (Comprehension t)

Defined in Pandora.Paradigm.Structure.Modification.Comprehension

Associated Types

type Morphing 'Push (Comprehension t) :: Type -> Type

Methods

morphing :: (Tagged 'Push <:.> Comprehension t) ~> Morphing 'Push (Comprehension t)

Morphable ('Push :: a -> Morph a) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing 'Push (Construction Maybe) :: Type -> Type

Methods

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

Morphable ('Insert :: a -> Morph a) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing 'Insert (Construction Wye) :: Type -> Type

Methods

morphing :: (Tagged 'Insert <:.> Construction Wye) ~> Morphing 'Insert (Construction Wye)

morph :: forall f t. Morphable f t => t ~> Morphing f t

premorph :: Morphable f t => (Tagged f <:.> t) ~> t

data Walk a

Constructors

Preorder a

Inorder a

Postorder a

Levelorder a

Instances

Morphable ('Into ('Preorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

Associated Types

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

Methods

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

Morphable ('Into ('Inorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

Associated Types

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

Methods

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

Morphable ('Into ('Postorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

Associated Types

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

Methods

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

type Morphing ('Into ('Preorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

type Morphing ('Into ('Preorder (Construction Maybe))) (Construction Wye) = Construction Maybe

type Morphing ('Into ('Inorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

type Morphing ('Into ('Inorder (Construction Maybe))) (Construction Wye) = Construction Maybe

type Morphing ('Into ('Postorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

type Morphing ('Into ('Postorder (Construction Maybe))) (Construction Wye) = Construction Maybe

data Morph a

Constructors

Rotate a

Into a

Insert a

Push a

Pop a

Delete a

Find a

Lookup a

Element a

Instances

Morphable ('Into (Flip Conclusion e) :: Morph (Type -> Type)) Maybe

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into (Flip Conclusion e)) Maybe :: Type -> Type

Methods

morphing :: (Tagged ('Into (Flip Conclusion e)) <:.> Maybe) ~> Morphing ('Into (Flip Conclusion e)) Maybe

Morphable ('Into (Tap ((List <:.:> List) := (:*:)))) List

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) List :: Type -> Type

Methods

morphing :: (Tagged ('Into (Tap ((List <:.:> List) := (:*:)))) <:.> List) ~> Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) List

Morphable ('Into (Conclusion e) :: Morph (Type -> Type)) Maybe

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into (Conclusion e)) Maybe :: Type -> Type

Methods

morphing :: (Tagged ('Into (Conclusion e)) <:.> Maybe) ~> Morphing ('Into (Conclusion e)) Maybe

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

Morphable ('Into (o ds)) (Construction Wye) => Morphable ('Into (o ds) :: Morph a) Binary

Defined in Pandora.Paradigm.Structure

Associated Types

type Morphing ('Into (o ds)) Binary :: Type -> Type

Methods

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

Morphable ('Into ('Left Maybe)) Wye

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into ('Left Maybe)) Wye :: Type -> Type

Methods

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

Morphable ('Into ('Right Maybe)) Wye

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into ('Right Maybe)) Wye :: Type -> Type

Methods

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

Morphable ('Into (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))) (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))) (Tap ((List <:.:> List) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Into (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))) <:.> Tap ((List <:.:> List) := (:*:))) ~> Morphing ('Into (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))) (Tap ((List <:.:> List) := (:*:)))

Morphable ('Into (Tap ((List <:.:> List) := (:*:)))) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Into (Tap ((List <:.:> List) := (:*:)))) <:.> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) ~> Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Morphable ('Into (Tap ((List <:.:> List) := (:*:)))) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) (Construction Maybe) :: Type -> Type

Methods

morphing :: (Tagged ('Into (Tap ((List <:.:> List) := (:*:)))) <:.> Construction Maybe) ~> Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) (Construction Maybe)

Morphable ('Into (Construction Maybe)) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into (Construction Maybe)) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Into (Construction Maybe)) <:.> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) ~> Morphing ('Into (Construction Maybe)) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Morphable ('Into (Construction Maybe)) (Vector r)

Defined in Pandora.Paradigm.Primary.Linear.Vector

Associated Types

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

Methods

morphing :: (Tagged ('Into (Construction Maybe)) <:.> Vector r) ~> Morphing ('Into (Construction Maybe)) (Vector r)

Morphable ('Into Maybe) (Conclusion e)

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into Maybe) (Conclusion e) :: Type -> Type

Methods

morphing :: (Tagged ('Into Maybe) <:.> Conclusion e) ~> Morphing ('Into Maybe) (Conclusion e)

Morphable ('Into List) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into List) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Into List) <:.> Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) ~> Morphing ('Into List) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))

Morphable ('Into List) (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing ('Into List) (Tap ((List <:.:> List) := (:*:))) :: Type -> Type

Methods

morphing :: (Tagged ('Into List) <:.> Tap ((List <:.:> List) := (:*:))) ~> Morphing ('Into List) (Tap ((List <:.:> List) := (:*:)))

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) (Vector r)

Defined in Pandora.Paradigm.Primary.Linear.Vector

Associated Types

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

Methods

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

Morphable ('Into Binary) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Into Binary) (Construction Wye) :: Type -> Type

Methods

morphing :: (Tagged ('Into Binary) <:.> Construction Wye) ~> Morphing ('Into Binary) (Construction Wye)

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

Defined in Pandora.Paradigm.Structure.Some.Stream

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Stream

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

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

Morphable ('Into ('There Maybe :: Wedge e1 (Type -> Type)) :: Morph (Wedge e1 (Type -> Type))) (Wedge e2)

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into ('There Maybe)) (Wedge e2) :: Type -> Type

Methods

morphing :: (Tagged ('Into ('There Maybe)) <:.> Wedge e2) ~> Morphing ('Into ('There Maybe)) (Wedge e2)

Morphable ('Into ('This Maybe :: These e1 (Type -> Type)) :: Morph (These e1 (Type -> Type))) (These e2)

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into ('This Maybe)) (These e2) :: Type -> Type

Methods

morphing :: (Tagged ('Into ('This Maybe)) <:.> These e2) ~> Morphing ('Into ('This Maybe)) (These e2)

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

morphing :: (Tagged ('Rotate ('Right 'Zig)) <:.> Construction Wye) ~> Morphing ('Rotate ('Right 'Zig)) (Construction Wye)

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

morphing :: (Tagged ('Rotate ('Left 'Zig)) <:.> Construction Wye) ~> Morphing ('Rotate ('Left 'Zig)) (Construction Wye)

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

morphing :: (Tagged ('Rotate ('Right ('Zig 'Zag))) <:.> Construction Wye) ~> Morphing ('Rotate ('Right ('Zig 'Zag))) (Construction Wye)

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

morphing :: (Tagged ('Rotate ('Left ('Zig 'Zag))) <:.> Construction Wye) ~> Morphing ('Rotate ('Left ('Zig 'Zag))) (Construction Wye)

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

morphing :: (Tagged ('Rotate ('Right ('Zig 'Zig))) <:.> Construction Wye) ~> Morphing ('Rotate ('Right ('Zig 'Zig))) (Construction Wye)

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

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

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

Methods

morphing :: (Tagged ('Rotate ('Left ('Zig 'Zig))) <:.> Construction Wye) ~> Morphing ('Rotate ('Left ('Zig 'Zig))) (Construction Wye)

Morphable ('Into ('Preorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

Associated Types

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

Methods

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

Morphable ('Into ('Inorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

Associated Types

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

Methods

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

Morphable ('Into ('Postorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

Associated Types

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

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

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

Methods

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

Morphable ('Into ('Here Maybe :: Wedge (Type -> Type) a1) :: Morph (Wedge (Type -> Type) a1)) (Flip Wedge a2)

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into ('Here Maybe)) (Flip Wedge a2) :: Type -> Type

Methods

morphing :: (Tagged ('Into ('Here Maybe)) <:.> Flip Wedge a2) ~> Morphing ('Into ('Here Maybe)) (Flip Wedge a2)

Morphable ('Into ('That Maybe :: These (Type -> Type) a1) :: Morph (These (Type -> Type) a1)) (Flip These a2)

Defined in Pandora.Paradigm.Primary

Associated Types

type Morphing ('Into ('That Maybe)) (Flip These a2) :: Type -> Type

Methods

morphing :: (Tagged ('Into ('That Maybe)) <:.> Flip These a2) ~> Morphing ('Into ('That Maybe)) (Flip These a2)

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

Defined in Pandora.Paradigm.Primary

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)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Rotate 'Up) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Up) <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))) ~> Morphing ('Rotate 'Up) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Morphable ('Rotate ('Down ('Right :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Rotate ('Down 'Right)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Down 'Right)) <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))) ~> Morphing ('Rotate ('Down 'Right)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Morphable ('Rotate ('Down ('Left :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Rotate ('Down 'Left)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Down 'Left)) <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))) ~> Morphing ('Rotate ('Down 'Left)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

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

Morphable ('Insert :: a -> Morph a) Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing 'Insert Binary :: Type -> Type

Methods

morphing :: (Tagged 'Insert <:.> Binary) ~> Morphing 'Insert Binary

Pointable t => Morphable ('Push :: a -> Morph a) (Comprehension t)

Defined in Pandora.Paradigm.Structure.Modification.Comprehension

Associated Types

type Morphing 'Push (Comprehension t) :: Type -> Type

Methods

morphing :: (Tagged 'Push <:.> Comprehension t) ~> Morphing 'Push (Comprehension t)

Morphable ('Push :: a -> Morph a) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Morphing 'Push (Construction Maybe) :: Type -> Type

Methods

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

Morphable ('Insert :: a -> Morph a) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing 'Insert (Construction Wye) :: Type -> Type

Methods

morphing :: (Tagged 'Insert <:.> Construction Wye) ~> Morphing 'Insert (Construction Wye)

type Morphing ('Into (Flip Conclusion e) :: Morph (Type -> Type)) Maybe

Defined in Pandora.Paradigm.Primary

type Morphing ('Into (Flip Conclusion e) :: Morph (Type -> Type)) Maybe = ((->) e :: Type -> Type) <:.> Flip Conclusion e

type Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) List

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) List = Maybe <:.> Zipper List

type Morphing ('Into (Conclusion e) :: Morph (Type -> Type)) Maybe

Defined in Pandora.Paradigm.Primary

type Morphing ('Into (Conclusion e) :: Morph (Type -> Type)) Maybe = ((->) e :: Type -> Type) <:.> Conclusion e

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 Morphing ('Into (o ds) :: Morph a) Binary

Defined in Pandora.Paradigm.Structure

type Morphing ('Into (o ds) :: Morph a) Binary = Maybe <:.> Morphing ('Into (o ds)) (Construction Wye)

type Morphing ('Into ('Left Maybe)) Wye

Defined in Pandora.Paradigm.Primary

type Morphing ('Into ('Left Maybe)) Wye = Maybe

type Morphing ('Into ('Right Maybe)) Wye

Defined in Pandora.Paradigm.Primary

type Morphing ('Into ('Right Maybe)) Wye = Maybe

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

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Into (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:)))) (Tap ((List <:.:> List) := (:*:))) = Maybe <:.> Zipper (Construction Maybe)

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

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) (Tap ((Construction Maybe <:.:> Construction Maybe) := (:*:))) = Zipper List

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

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Into (Tap ((List <:.:> List) := (:*:)))) (Construction Maybe) = Zipper List

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

Defined in Pandora.Paradigm.Structure.Some.List

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

type Morphing ('Into (Construction Maybe)) (Vector r)

Defined in Pandora.Paradigm.Primary.Linear.Vector

type Morphing ('Into (Construction Maybe)) (Vector r) = Construction Maybe

type Morphing ('Into Maybe) (Conclusion e)

Defined in Pandora.Paradigm.Primary

type Morphing ('Into Maybe) (Conclusion e) = Maybe

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

Defined in Pandora.Paradigm.Structure.Some.List

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

type Morphing ('Into List) (Tap ((List <:.:> List) := (:*:)))

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Into List) (Tap ((List <:.:> List) := (:*:))) = 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) (Vector r)

Defined in Pandora.Paradigm.Primary.Linear.Vector

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

type Morphing ('Into Binary) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

type Morphing ('Into Binary) (Construction Wye) = Binary

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

Defined in Pandora.Paradigm.Structure.Some.Stream

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

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

Defined in Pandora.Paradigm.Structure.Some.Stream

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

type Morphing ('Into ('There Maybe :: Wedge e1 (Type -> Type)) :: Morph (Wedge e1 (Type -> Type))) (Wedge e2)

Defined in Pandora.Paradigm.Primary

type Morphing ('Into ('There Maybe :: Wedge e1 (Type -> Type)) :: Morph (Wedge e1 (Type -> Type))) (Wedge e2) = Maybe

type Morphing ('Into ('This Maybe :: These e1 (Type -> Type)) :: Morph (These e1 (Type -> Type))) (These e2)

Defined in Pandora.Paradigm.Primary

type Morphing ('Into ('This Maybe :: These e1 (Type -> Type)) :: Morph (These e1 (Type -> Type))) (These e2) = Maybe

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

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

Defined in Pandora.Paradigm.Structure.Some.Splay

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

type Morphing ('Into ('Preorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

type Morphing ('Into ('Preorder (Construction Maybe))) (Construction Wye) = Construction Maybe

type Morphing ('Into ('Inorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

type Morphing ('Into ('Inorder (Construction Maybe))) (Construction Wye) = Construction Maybe

type Morphing ('Into ('Postorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

type Morphing ('Into ('Postorder (Construction Maybe))) (Construction Wye) = Construction Maybe

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

Defined in Pandora.Paradigm.Structure.Some.Rose

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

type Morphing ('Into ('Here Maybe :: Wedge (Type -> Type) a1) :: Morph (Wedge (Type -> Type) a1)) (Flip Wedge a2)

Defined in Pandora.Paradigm.Primary

type Morphing ('Into ('Here Maybe :: Wedge (Type -> Type) a1) :: Morph (Wedge (Type -> Type) a1)) (Flip Wedge a2) = Maybe

type Morphing ('Into ('That Maybe :: These (Type -> Type) a1) :: Morph (These (Type -> Type) a1)) (Flip These a2)

Defined in Pandora.Paradigm.Primary

type Morphing ('Into ('That Maybe :: These (Type -> Type) a1) :: Morph (These (Type -> Type) a1)) (Flip These a2) = Maybe

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

Defined in Pandora.Paradigm.Primary

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

type Morphing ('Rotate ('Up :: a -> Vertical a) :: Morph (a -> Vertical a)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

type Morphing ('Rotate ('Up :: a -> Vertical a) :: Morph (a -> Vertical a)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) = Maybe <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

type Morphing ('Rotate ('Down ('Right :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

type Morphing ('Rotate ('Down ('Right :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) = Maybe <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

type Morphing ('Rotate ('Down ('Left :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

type Morphing ('Rotate ('Down ('Left :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) = Maybe <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

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 = (Identity <:.:> List) := ((->) :: Type -> Type -> Type)

type Morphing ('Insert :: a -> Morph a) Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

type Morphing ('Insert :: a -> Morph a) Binary = (((Identity <:.:> Comparison) := (:*:)) <:.:> Binary) := ((->) :: Type -> Type -> Type)

type Morphing ('Push :: a -> Morph a) (Comprehension t)

Defined in Pandora.Paradigm.Structure.Modification.Comprehension

type Morphing ('Push :: a -> Morph a) (Comprehension t) = (Identity <:.:> Comprehension t) := ((->) :: Type -> Type -> Type)

type Morphing ('Push :: a -> Morph a) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

type Morphing ('Push :: a -> Morph a) (Construction Maybe) = (Identity <:.:> Construction Maybe) := ((->) :: Type -> Type -> Type)

type Morphing ('Insert :: a -> Morph a) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

type Morphing ('Insert :: a -> Morph a) (Construction Wye) = (((Identity <:.:> Comparison) := (:*:)) <:.:> Construction Wye) := ((->) :: Type -> Type -> Type)

data Occurrence a

Constructors

All a

First a

Instances

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

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)

data Vertical a

Constructors

Up a

Down a

Instances

Morphable ('Rotate ('Up :: a -> Vertical a) :: Morph (a -> Vertical a)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Rotate 'Up) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Up) <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))) ~> Morphing ('Rotate 'Up) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Morphable ('Rotate ('Down ('Right :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Rotate ('Down 'Right)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Down 'Right)) <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))) ~> Morphing ('Rotate ('Down 'Right)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Morphable ('Rotate ('Down ('Left :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Rotate ('Down 'Left)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Down 'Left)) <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))) ~> Morphing ('Rotate ('Down 'Left)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

type Morphing ('Rotate ('Up :: a -> Vertical a) :: Morph (a -> Vertical a)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

type Morphing ('Rotate ('Up :: a -> Vertical a) :: Morph (a -> Vertical a)) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) = Maybe <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

type Morphing ('Rotate ('Down ('Right :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

type Morphing ('Rotate ('Down ('Right :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) = Maybe <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

type Morphing ('Rotate ('Down ('Left :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

Defined in Pandora.Paradigm.Structure.Some.Binary

type Morphing ('Rotate ('Down ('Left :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:)) = Maybe <:.> ((Construction Wye <:.:> (Bifurcation <:.> Bicursor)) := (:*:))

rotate :: forall f t. Morphable (Rotate f) t => t ~> Morphing (Rotate f) t

into :: forall f t. Morphable (Into f) t => t ~> Morphing (Into f) t

insert :: forall f t a. (Morphable (Insert f) t, Morphing (Insert f) t ~ ((Identity <:.:> t) := (->))) => a :=:=> t

item :: forall f t a. (Morphable f t, Morphing f t ~ ((Identity <:.:> t) := (->))) => a :=:=> t

collate :: forall f t a. (Chain a, Morphable f t, Morphing f t ~ ((((Identity <:.:> Comparison) := (:*:)) <:.:> t) := (->))) => a :=:=> t

delete :: forall f t a. (Setoid a, Morphable (Delete f) t, Morphing (Delete f) t ~ ((Predicate <:.:> t) := (->))) => a :=:=> t

filter :: forall f t a. (Morphable (Delete f) t, Morphing (Delete f) t ~ ((Predicate <:.:> t) := (->))) => Predicate a -> t a -> t a

find :: forall f t u a. (Morphable (Find f) t, Morphing (Find f) t ~ ((Predicate <:.:> u) := (->))) => Predicate a -> t a -> u a