Pandora.Paradigm.Structure.Modification.Comprehension

Documentation

newtype Comprehension t a

Constructors

Comprehension ((t <::> Construction t) := a)

Instances

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Semimonoidal (-->) (:*:) (:*:) t, Semimonoidal (-->) (:*:) (:*:) (Construction t), Semimonoidal (-->) (:*:) (:+:) t, Semimonoidal (-->) (:*:) (:+:) (Construction t), Monoidal (-->) (-->) (:*:) (:+:) t) => Monoidal (-->) (-->) (:*:) (:+:) (Comprehension t)

Defined in Pandora.Paradigm.Structure.Modification.Comprehension

Methods

unit :: Proxy (:*:) -> (Unit (:+:) --> a) --> Comprehension t a

Zippable (Comprehension Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

type Breadcrumbs (Comprehension Maybe) :: Type -> Type

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Semimonoidal (-->) (:*:) right t, Semimonoidal (-->) (:*:) right (t <::> Construction t)) => Semimonoidal (-->) (:*:) (right :: Type -> Type -> Type) (Comprehension t :: Type -> Type)

Defined in Pandora.Paradigm.Structure.Modification.Comprehension

Methods

mult :: forall (a :: k) (b :: k). (Comprehension t a :*: Comprehension t b) --> Comprehension t (right a b)

Morphable ('Into (Comprehension Maybe)) (Tape List)

Defined in Pandora.Paradigm.Structure.Some.List

Associated Types

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

Methods

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

Semigroup ((t <::> Construction t) := a) => Semigroup (Comprehension t a)

Defined in Pandora.Paradigm.Structure.Modification.Comprehension

Methods

(+) :: Comprehension t a -> Comprehension t a -> Comprehension t a

Monoid ((t <::> Construction t) := a) => Monoid (Comprehension t a)

Defined in Pandora.Paradigm.Structure.Modification.Comprehension

Methods

zero :: Comprehension t a

Setoid ((t <::> Construction t) := a) => Setoid (Comprehension t a)

Defined in Pandora.Paradigm.Structure.Modification.Comprehension

Methods

(==) :: Comprehension t a -> Comprehension t a -> Boolean

(!=) :: Comprehension t a -> Comprehension t a -> Boolean

(forall a. Semigroup ((t <::> Construction t) := a), Bindable ((->) :: Type -> Type -> Type) t) => Bindable ((->) :: Type -> Type -> Type) (Comprehension t)

Defined in Pandora.Paradigm.Structure.Modification.Comprehension

Methods

(=<<) :: (a -> Comprehension t b) -> Comprehension t a -> Comprehension t b

(==<<) :: (a -> Comprehension t b) -> Comprehension t a -> Comprehension t b

(===<<) :: (a -> Comprehension t b) -> Comprehension t a -> Comprehension t b

(====<<) :: (a -> Comprehension t b) -> Comprehension t a -> Comprehension t b

(=====<<) :: (a -> Comprehension t b) -> Comprehension t a -> Comprehension t b

(======<<) :: (a -> Comprehension t b) -> Comprehension t a -> Comprehension t b

(=======<<) :: (a -> Comprehension t b) -> Comprehension t a -> Comprehension t b

(========<<) :: (a -> Comprehension t b) -> Comprehension t a -> Comprehension t b

(=========<<) :: (a -> Comprehension t b) -> Comprehension t a -> Comprehension t b

Interpreted ((->) :: Type -> Type -> Type) (Comprehension t)

Defined in Pandora.Paradigm.Structure.Modification.Comprehension

Associated Types

type Primary (Comprehension t) a

Methods

run :: Comprehension t a -> Primary (Comprehension t) a

unite :: Primary (Comprehension t) a -> Comprehension t a

(!) :: Comprehension t a -> Primary (Comprehension t) a

(=#-) :: (Semigroupoid (->), Interpreted (->) u) => (Primary (Comprehension t) a -> Primary u b) -> Comprehension t a -> u b

(-#=) :: (Semigroupoid (->), Interpreted (->) u) => (Comprehension t a -> u b) -> Primary (Comprehension t) a -> Primary u b

(<$=#-) :: (Semigroupoid (->), Covariant (->) (->) j, Interpreted (->) u) => (Primary (Comprehension t) a -> Primary u b) -> (j := Comprehension t a) -> (j := u b)

(-#=$>) :: (Covariant (->) (->) j, Interpreted (->) u) => (Comprehension t a -> u b) -> (j := Primary (Comprehension t) a) -> (j := Primary u b)

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Monoidal (-->) (-->) (:*:) (:*:) 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)

Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (t <::> Construction t) => Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (Comprehension t)

Defined in Pandora.Paradigm.Structure.Modification.Comprehension

Methods

(<-|-) :: (a -> b) -> Comprehension t a -> Comprehension t b

(<-|--) :: (a -> b) -> Comprehension t a -> Comprehension t b

(<-|---) :: (a -> b) -> Comprehension t a -> Comprehension t b

(<-|----) :: (a -> b) -> Comprehension t a -> Comprehension t b

(<-|-----) :: (a -> b) -> Comprehension t a -> Comprehension t b

(<-|------) :: (a -> b) -> Comprehension t a -> Comprehension t b

(<-|-------) :: (a -> b) -> Comprehension t a -> Comprehension t b

(<-|--------) :: (a -> b) -> Comprehension t a -> Comprehension t b

(<-|-|-) :: (Covariant (->) (Betwixt (->) (->)) u, Covariant (Betwixt (->) (->)) (->) (Comprehension t)) => (a -> b) -> Comprehension t (u a) -> Comprehension t (u b)

(<-|-|-|-) :: (Covariant (->) (Betwixt (->) (Betwixt (->) (->))) v, Covariant (Betwixt (->) (Betwixt (->) (->))) (Betwixt (Betwixt (->) (->)) (->)) u, Covariant (Betwixt (Betwixt (->) (->)) (->)) (->) (Comprehension t)) => (a -> b) -> Comprehension t (u (v a)) -> Comprehension t (u (v b))

Traversable ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (t <::> Construction t) => Traversable ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (Comprehension t)

Defined in Pandora.Paradigm.Structure.Modification.Comprehension

Methods

(<<-) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> Comprehension t a -> u (Comprehension t b)

(<<--) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> Comprehension t a -> u (Comprehension t b)

(<<---) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> Comprehension t a -> u (Comprehension t b)

(<<----) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> Comprehension t a -> u (Comprehension t b)

(<<-----) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> Comprehension t a -> u (Comprehension t b)

(<<------) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> Comprehension t a -> u (Comprehension t b)

(<<-------) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> Comprehension t a -> u (Comprehension t b)

(<<--------) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> Comprehension t a -> u (Comprehension t b)

(<<---------) :: (Covariant (->) (->) u, Monoidal (Straight (->)) (Straight (->)) (:*:) (:*:) u) => (a -> u b) -> Comprehension t a -> u (Comprehension t b)

type Breadcrumbs (Comprehension Maybe)

Defined in Pandora.Paradigm.Structure.Some.List

type Breadcrumbs (Comprehension Maybe) = (Comprehension Maybe <:.:> Comprehension Maybe) := (:*:)

type Primary (Comprehension t) a

Defined in Pandora.Paradigm.Structure.Modification.Comprehension

type Primary (Comprehension t) a = (t <::> Construction t) := a

type Morphing ('Into (Comprehension Maybe)) (Tape List)

Defined in Pandora.Paradigm.Structure.Some.List

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

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

Defined in Pandora.Paradigm.Structure.Modification.Comprehension

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

Orphan instances

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Monoidal (-->) (-->) (:*:) (:*:) t) => Morphable ('Push :: a -> Morph a) (Comprehension t)

Associated Types

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

Methods

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