Pandora.Paradigm.Structure.Ability.Substructure

Documentation

data Segment a

Constructors

Root a

Tail a

Instances

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Available 'Tail List :: Type -> Type

type Substance 'Tail List :: Type -> Type

Methods

substructure :: ((Tagged 'Tail <:.> List) #=@ Substance 'Tail List) := Available 'Tail List

sub :: (List #=@ Substance 'Tail List) := Available 'Tail List

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Available 'Root List :: Type -> Type

type Substance 'Root List :: Type -> Type

Methods

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

sub :: (List #=@ Substance 'Root List) := Available 'Root List

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

Defined in Pandora.Paradigm.Primary.Transformer.Tap

Associated Types

type Available 'Root (Tap ((t <:.:> t) := (:*:))) :: Type -> Type

type Substance 'Root (Tap ((t <:.:> t) := (:*:))) :: Type -> Type

Methods

substructure :: ((Tagged 'Root <:.> Tap ((t <:.:> t) := (:*:))) #=@ Substance 'Root (Tap ((t <:.:> t) := (:*:)))) := Available 'Root (Tap ((t <:.:> t) := (:*:)))

sub :: (Tap ((t <:.:> t) := (:*:)) #=@ Substance 'Root (Tap ((t <:.:> t) := (:*:)))) := Available 'Root (Tap ((t <:.:> t) := (:*:)))

Substructure ('Root :: a -> Segment a) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Available 'Root (Construction Maybe) :: Type -> Type

type Substance 'Root (Construction Maybe) :: Type -> Type

Methods

substructure :: ((Tagged 'Root <:.> Construction Maybe) #=@ Substance 'Root (Construction Maybe)) := Available 'Root (Construction Maybe)

sub :: (Construction Maybe #=@ Substance 'Root (Construction Maybe)) := Available 'Root (Construction Maybe)

Substructure ('Tail :: a -> Segment a) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Available 'Tail (Construction Maybe) :: Type -> Type

type Substance 'Tail (Construction Maybe) :: Type -> Type

Methods

substructure :: ((Tagged 'Tail <:.> Construction Maybe) #=@ Substance 'Tail (Construction Maybe)) := Available 'Tail (Construction Maybe)

sub :: (Construction Maybe #=@ Substance 'Tail (Construction Maybe)) := Available 'Tail (Construction Maybe)

Substructure ('Tail :: a -> Segment a) (Construction List)

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

type Available 'Tail (Construction List) :: Type -> Type

type Substance 'Tail (Construction List) :: Type -> Type

Methods

substructure :: ((Tagged 'Tail <:.> Construction List) #=@ Substance 'Tail (Construction List)) := Available 'Tail (Construction List)

sub :: (Construction List #=@ Substance 'Tail (Construction List)) := Available 'Tail (Construction List)

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

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

type Available 'Root (Construction List) :: Type -> Type

type Substance 'Root (Construction List) :: Type -> Type

Methods

substructure :: ((Tagged 'Root <:.> Construction List) #=@ Substance 'Root (Construction List)) := Available 'Root (Construction List)

sub :: (Construction List #=@ Substance 'Root (Construction List)) := Available 'Root (Construction List)

Substructure ('Root :: a -> Segment a) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Available 'Root (Construction Wye) :: Type -> Type

type Substance 'Root (Construction Wye) :: Type -> Type

Methods

substructure :: ((Tagged 'Root <:.> Construction Wye) #=@ Substance 'Root (Construction Wye)) := Available 'Root (Construction Wye)

sub :: (Construction Wye #=@ Substance 'Root (Construction Wye)) := Available 'Root (Construction Wye)

Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t => Substructure ('Tail :: a -> Segment a) (Tap t)

Defined in Pandora.Paradigm.Structure

Associated Types

type Available 'Tail (Tap t) :: Type -> Type

type Substance 'Tail (Tap t) :: Type -> Type

Methods

substructure :: ((Tagged 'Tail <:.> Tap t) #=@ Substance 'Tail (Tap t)) := Available 'Tail (Tap t)

sub :: (Tap t #=@ Substance 'Tail (Tap t)) := Available 'Tail (Tap t)

type Available ('Tail :: a -> Segment a) List

Defined in Pandora.Paradigm.Structure.Some.List

type Available ('Tail :: a -> Segment a) List = Identity

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Some.List

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

type Available ('Root :: a -> Segment a) (Tap ((t <:.:> t) := (:*:)))

Defined in Pandora.Paradigm.Primary.Transformer.Tap

type Available ('Root :: a -> Segment a) (Tap ((t <:.:> t) := (:*:))) = Identity

type Available ('Root :: a -> Segment a) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

type Available ('Root :: a -> Segment a) (Construction Maybe) = Identity

type Available ('Tail :: a -> Segment a) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

type Available ('Tail :: a -> Segment a) (Construction Maybe) = Identity

type Available ('Tail :: a -> Segment a) (Construction List)

Defined in Pandora.Paradigm.Structure.Some.Rose

type Available ('Tail :: a -> Segment a) (Construction List) = Identity

type Available ('Root :: a -> Segment a) (Construction List)

Defined in Pandora.Paradigm.Structure.Some.Rose

type Available ('Root :: a -> Segment a) (Construction List) = Identity

type Available ('Root :: a -> Segment a) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

type Available ('Root :: a -> Segment a) (Construction Wye) = Identity

type Available ('Tail :: a -> Segment a) (Tap t)

Defined in Pandora.Paradigm.Structure

type Available ('Tail :: a -> Segment a) (Tap t) = Identity

type Substance ('Root :: a -> Segment a) (Tap ((t <:.:> t) := (:*:)))

Defined in Pandora.Paradigm.Primary.Transformer.Tap

type Substance ('Root :: a -> Segment a) (Tap ((t <:.:> t) := (:*:))) = Identity

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

Defined in Pandora.Paradigm.Structure.Some.List

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

type Substance ('Tail :: a -> Segment a) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

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

type Substance ('Tail :: a -> Segment a) (Construction List)

Defined in Pandora.Paradigm.Structure.Some.Rose

type Substance ('Tail :: a -> Segment a) (Construction List) = List <:.> Construction List

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

Defined in Pandora.Paradigm.Structure.Some.Rose

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

type Substance ('Root :: a -> Segment a) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

type Substance ('Root :: a -> Segment a) (Construction Wye) = Identity

type Substance ('Tail :: a -> Segment a) (Tap t)

Defined in Pandora.Paradigm.Structure

type Substance ('Tail :: a -> Segment a) (Tap t) = t

type Substructured segment source available target = (Substructure segment source, Substance segment source ~ target, Available segment source ~ available)

class Substructure segment (structure :: * -> *) where

Minimal complete definition

substructure

Associated Types

type Available segment structure :: * -> *

type Substance segment structure :: * -> *

Methods

substructure :: ((Tagged segment <:.> structure) #=@ Substance segment structure) := Available segment structure

sub :: Covariant (->) (->) structure => (structure #=@ Substance segment structure) := Available segment structure

Instances

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Available 'Tail List :: Type -> Type

type Substance 'Tail List :: Type -> Type

Methods

substructure :: ((Tagged 'Tail <:.> List) #=@ Substance 'Tail List) := Available 'Tail List

sub :: (List #=@ Substance 'Tail List) := Available 'Tail List

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

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Available 'Root List :: Type -> Type

type Substance 'Root List :: Type -> Type

Methods

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

sub :: (List #=@ Substance 'Root List) := Available 'Root List

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

Defined in Pandora.Paradigm.Primary

Associated Types

type Available 'Right Wye :: Type -> Type

type Substance 'Right Wye :: Type -> Type

Methods

substructure :: ((Tagged 'Right <:.> Wye) #=@ Substance 'Right Wye) := Available 'Right Wye

sub :: (Wye #=@ Substance 'Right Wye) := Available 'Right Wye

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

Defined in Pandora.Paradigm.Primary

Associated Types

type Available 'Left Wye :: Type -> Type

type Substance 'Left Wye :: Type -> Type

Methods

substructure :: ((Tagged 'Left <:.> Wye) #=@ Substance 'Left Wye) := Available 'Left Wye

sub :: (Wye #=@ Substance 'Left Wye) := Available 'Left Wye

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

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Available 'Right Binary :: Type -> Type

type Substance 'Right Binary :: Type -> Type

Methods

substructure :: ((Tagged 'Right <:.> Binary) #=@ Substance 'Right Binary) := Available 'Right Binary

sub :: (Binary #=@ Substance 'Right Binary) := Available 'Right Binary

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

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Available 'Left Binary :: Type -> Type

type Substance 'Left Binary :: Type -> Type

Methods

substructure :: ((Tagged 'Left <:.> Binary) #=@ Substance 'Left Binary) := Available 'Left Binary

sub :: (Binary #=@ Substance 'Left Binary) := Available 'Left Binary

Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t => Substructure ('Right :: a -> Wye a) (Tap ((t <:.:> t) := (:*:)))

Defined in Pandora.Paradigm.Primary.Transformer.Tap

Associated Types

type Available 'Right (Tap ((t <:.:> t) := (:*:))) :: Type -> Type

type Substance 'Right (Tap ((t <:.:> t) := (:*:))) :: Type -> Type

Methods

substructure :: ((Tagged 'Right <:.> Tap ((t <:.:> t) := (:*:))) #=@ Substance 'Right (Tap ((t <:.:> t) := (:*:)))) := Available 'Right (Tap ((t <:.:> t) := (:*:)))

sub :: (Tap ((t <:.:> t) := (:*:)) #=@ Substance 'Right (Tap ((t <:.:> t) := (:*:)))) := Available 'Right (Tap ((t <:.:> t) := (:*:)))

Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t => Substructure ('Left :: a -> Wye a) (Tap ((t <:.:> t) := (:*:)))

Defined in Pandora.Paradigm.Primary.Transformer.Tap

Associated Types

type Available 'Left (Tap ((t <:.:> t) := (:*:))) :: Type -> Type

type Substance 'Left (Tap ((t <:.:> t) := (:*:))) :: Type -> Type

Methods

substructure :: ((Tagged 'Left <:.> Tap ((t <:.:> t) := (:*:))) #=@ Substance 'Left (Tap ((t <:.:> t) := (:*:)))) := Available 'Left (Tap ((t <:.:> t) := (:*:)))

sub :: (Tap ((t <:.:> t) := (:*:)) #=@ Substance 'Left (Tap ((t <:.:> t) := (:*:)))) := Available 'Left (Tap ((t <:.:> t) := (:*:)))

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

Defined in Pandora.Paradigm.Primary.Transformer.Tap

Associated Types

type Available 'Root (Tap ((t <:.:> t) := (:*:))) :: Type -> Type

type Substance 'Root (Tap ((t <:.:> t) := (:*:))) :: Type -> Type

Methods

substructure :: ((Tagged 'Root <:.> Tap ((t <:.:> t) := (:*:))) #=@ Substance 'Root (Tap ((t <:.:> t) := (:*:)))) := Available 'Root (Tap ((t <:.:> t) := (:*:)))

sub :: (Tap ((t <:.:> t) := (:*:)) #=@ Substance 'Root (Tap ((t <:.:> t) := (:*:)))) := Available 'Root (Tap ((t <:.:> t) := (:*:)))

Substructure ('Root :: a -> Segment a) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Available 'Root (Construction Maybe) :: Type -> Type

type Substance 'Root (Construction Maybe) :: Type -> Type

Methods

substructure :: ((Tagged 'Root <:.> Construction Maybe) #=@ Substance 'Root (Construction Maybe)) := Available 'Root (Construction Maybe)

sub :: (Construction Maybe #=@ Substance 'Root (Construction Maybe)) := Available 'Root (Construction Maybe)

Substructure ('Tail :: a -> Segment a) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Available 'Tail (Construction Maybe) :: Type -> Type

type Substance 'Tail (Construction Maybe) :: Type -> Type

Methods

substructure :: ((Tagged 'Tail <:.> Construction Maybe) #=@ Substance 'Tail (Construction Maybe)) := Available 'Tail (Construction Maybe)

sub :: (Construction Maybe #=@ Substance 'Tail (Construction Maybe)) := Available 'Tail (Construction Maybe)

Substructure ('Tail :: a -> Segment a) (Construction List)

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

type Available 'Tail (Construction List) :: Type -> Type

type Substance 'Tail (Construction List) :: Type -> Type

Methods

substructure :: ((Tagged 'Tail <:.> Construction List) #=@ Substance 'Tail (Construction List)) := Available 'Tail (Construction List)

sub :: (Construction List #=@ Substance 'Tail (Construction List)) := Available 'Tail (Construction List)

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

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

type Available 'Root (Construction List) :: Type -> Type

type Substance 'Root (Construction List) :: Type -> Type

Methods

substructure :: ((Tagged 'Root <:.> Construction List) #=@ Substance 'Root (Construction List)) := Available 'Root (Construction List)

sub :: (Construction List #=@ Substance 'Root (Construction List)) := Available 'Root (Construction List)

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

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Available 'Right (Construction Wye) :: Type -> Type

type Substance 'Right (Construction Wye) :: Type -> Type

Methods

substructure :: ((Tagged 'Right <:.> Construction Wye) #=@ Substance 'Right (Construction Wye)) := Available 'Right (Construction Wye)

sub :: (Construction Wye #=@ Substance 'Right (Construction Wye)) := Available 'Right (Construction Wye)

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

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Available 'Left (Construction Wye) :: Type -> Type

type Substance 'Left (Construction Wye) :: Type -> Type

Methods

substructure :: ((Tagged 'Left <:.> Construction Wye) #=@ Substance 'Left (Construction Wye)) := Available 'Left (Construction Wye)

sub :: (Construction Wye #=@ Substance 'Left (Construction Wye)) := Available 'Left (Construction Wye)

Substructure ('Root :: a -> Segment a) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Available 'Root (Construction Wye) :: Type -> Type

type Substance 'Root (Construction Wye) :: Type -> Type

Methods

substructure :: ((Tagged 'Root <:.> Construction Wye) #=@ Substance 'Root (Construction Wye)) := Available 'Root (Construction Wye)

sub :: (Construction Wye #=@ Substance 'Root (Construction Wye)) := Available 'Root (Construction Wye)

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

Defined in Pandora.Paradigm.Structure

Associated Types

type Available 'Right ((:*:) s) :: Type -> Type

type Substance 'Right ((:*:) s) :: Type -> Type

Methods

substructure :: ((Tagged 'Right <:.> (:*:) s) #=@ Substance 'Right ((:*:) s)) := Available 'Right ((:*:) s)

sub :: ((:*:) s #=@ Substance 'Right ((:*:) s)) := Available 'Right ((:*:) s)

Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t => Substructure ('Tail :: a -> Segment a) (Tap t)

Defined in Pandora.Paradigm.Structure

Associated Types

type Available 'Tail (Tap t) :: Type -> Type

type Substance 'Tail (Tap t) :: Type -> Type

Methods

substructure :: ((Tagged 'Tail <:.> Tap t) #=@ Substance 'Tail (Tap t)) := Available 'Tail (Tap t)

sub :: (Tap t #=@ Substance 'Tail (Tap t)) := Available 'Tail (Tap t)

Substructure ('Left :: a1 -> Wye a1) (Flip (:*:) a2)

Defined in Pandora.Paradigm.Structure

Associated Types

type Available 'Left (Flip (:*:) a2) :: Type -> Type

type Substance 'Left (Flip (:*:) a2) :: Type -> Type

Methods

substructure :: ((Tagged 'Left <:.> Flip (:*:) a2) #=@ Substance 'Left (Flip (:*:) a2)) := Available 'Left (Flip (:*:) a2)

sub :: (Flip (:*:) a2 #=@ Substance 'Left (Flip (:*:) a2)) := Available 'Left (Flip (:*:) a2)

Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t => Substructure ('Right :: a -> Wye a) ((t <:.:> t) := (:*:))

Defined in Pandora.Paradigm.Structure

Associated Types

type Available 'Right ((t <:.:> t) := (:*:)) :: Type -> Type

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

Methods

substructure :: ((Tagged 'Right <:.> ((t <:.:> t) := (:*:))) #=@ Substance 'Right ((t <:.:> t) := (:*:))) := Available 'Right ((t <:.:> t) := (:*:))

sub :: (((t <:.:> t) := (:*:)) #=@ Substance 'Right ((t <:.:> t) := (:*:))) := Available 'Right ((t <:.:> t) := (:*:))

Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t => Substructure ('Left :: a -> Wye a) ((t <:.:> t) := (:*:))

Defined in Pandora.Paradigm.Structure

Associated Types

type Available 'Left ((t <:.:> t) := (:*:)) :: Type -> Type

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

Methods

substructure :: ((Tagged 'Left <:.> ((t <:.:> t) := (:*:))) #=@ Substance 'Left ((t <:.:> t) := (:*:))) := Available 'Left ((t <:.:> t) := (:*:))

sub :: (((t <:.:> t) := (:*:)) #=@ Substance 'Left ((t <:.:> t) := (:*:))) := Available 'Left ((t <:.:> t) := (:*:))