Optics.Internal.Optic.Types

This module is intended for internal use only, and may change without warning in subsequent releases.

Documentation

type OpticKind = Type

Kind for types used as optic tags, such as A_Lens.

Since: 0.2

data An_Iso :: OpticKind

Tag for an iso.

Instances

ReversibleOptic An_Iso

Defined in Optics.Re

Associated Types

type ReversedOptic An_Iso = (r :: Type)

Methods

re :: AcceptsEmptyIndices "re" is => Optic An_Iso is s t a b -> Optic (ReversedOptic An_Iso) is b a t s

Is An_Iso A_Review

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso A_Review p -> (Constraints An_Iso p -> r) -> Constraints A_Review p -> r

Is An_Iso A_ReversedLens

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso A_ReversedLens p -> (Constraints An_Iso p -> r) -> Constraints A_ReversedLens p -> r

Is An_Iso A_Fold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso A_Fold p -> (Constraints An_Iso p -> r) -> Constraints A_Fold p -> r

Is An_Iso An_AffineFold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso An_AffineFold p -> (Constraints An_Iso p -> r) -> Constraints An_AffineFold p -> r

Is An_Iso A_Getter

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso A_Getter p -> (Constraints An_Iso p -> r) -> Constraints A_Getter p -> r

Is An_Iso A_ReversedPrism

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso A_ReversedPrism p -> (Constraints An_Iso p -> r) -> Constraints A_ReversedPrism p -> r

Is An_Iso A_Setter

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso A_Setter p -> (Constraints An_Iso p -> r) -> Constraints A_Setter p -> r

Is An_Iso A_Traversal

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso A_Traversal p -> (Constraints An_Iso p -> r) -> Constraints A_Traversal p -> r

Is An_Iso An_AffineTraversal

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso An_AffineTraversal p -> (Constraints An_Iso p -> r) -> Constraints An_AffineTraversal p -> r

Is An_Iso A_Prism

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso A_Prism p -> (Constraints An_Iso p -> r) -> Constraints A_Prism p -> r

Is An_Iso A_Lens

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso A_Lens p -> (Constraints An_Iso p -> r) -> Constraints A_Lens p -> r

Arrow arr => ArrowOptic An_Iso arr

Defined in Optics.Arrow

Methods

overA :: Optic An_Iso is s t a b -> arr a b -> arr s t

ToReadOnly An_Iso s t a b

Defined in Optics.ReadOnly

Methods

getting :: Optic An_Iso is s t a b -> Optic' (Join A_Getter An_Iso) is s a

type ReversedOptic An_Iso

Defined in Optics.Re

type ReversedOptic An_Iso = An_Iso

data A_Lens :: OpticKind

Tag for a lens.

Instances

ReversibleOptic A_Lens

Defined in Optics.Re

Associated Types

type ReversedOptic A_Lens = (r :: Type)

Methods

re :: AcceptsEmptyIndices "re" is => Optic A_Lens is s t a b -> Optic (ReversedOptic A_Lens) is b a t s

Is A_Lens A_Fold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Lens A_Fold p -> (Constraints A_Lens p -> r) -> Constraints A_Fold p -> r

Is A_Lens An_AffineFold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Lens An_AffineFold p -> (Constraints A_Lens p -> r) -> Constraints An_AffineFold p -> r

Is A_Lens A_Getter

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Lens A_Getter p -> (Constraints A_Lens p -> r) -> Constraints A_Getter p -> r

Is A_Lens A_Setter

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Lens A_Setter p -> (Constraints A_Lens p -> r) -> Constraints A_Setter p -> r

Is A_Lens A_Traversal

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Lens A_Traversal p -> (Constraints A_Lens p -> r) -> Constraints A_Traversal p -> r

Is A_Lens An_AffineTraversal

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Lens An_AffineTraversal p -> (Constraints A_Lens p -> r) -> Constraints An_AffineTraversal p -> r

Is An_Iso A_Lens

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso A_Lens p -> (Constraints An_Iso p -> r) -> Constraints A_Lens p -> r

Arrow arr => ArrowOptic A_Lens arr

Defined in Optics.Arrow

Methods

overA :: Optic A_Lens is s t a b -> arr a b -> arr s t

ToReadOnly A_Lens s t a b

Defined in Optics.ReadOnly

Methods

getting :: Optic A_Lens is s t a b -> Optic' (Join A_Getter A_Lens) is s a

IxOptic A_Lens s t a b

Defined in Optics.Indexed.Core

Methods

noIx :: NonEmptyIndices is => Optic A_Lens is s t a b -> Optic A_Lens NoIx s t a b

type ReversedOptic A_Lens

Defined in Optics.Re

type ReversedOptic A_Lens = A_ReversedLens

data A_Prism :: OpticKind

Tag for a prism.

Instances

ReversibleOptic A_Prism

Defined in Optics.Re

Associated Types

type ReversedOptic A_Prism = (r :: Type)

Methods

re :: AcceptsEmptyIndices "re" is => Optic A_Prism is s t a b -> Optic (ReversedOptic A_Prism) is b a t s

Is A_Prism A_Review

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Prism A_Review p -> (Constraints A_Prism p -> r) -> Constraints A_Review p -> r

Is A_Prism A_Fold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Prism A_Fold p -> (Constraints A_Prism p -> r) -> Constraints A_Fold p -> r

Is A_Prism An_AffineFold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Prism An_AffineFold p -> (Constraints A_Prism p -> r) -> Constraints An_AffineFold p -> r

Is A_Prism A_Setter

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Prism A_Setter p -> (Constraints A_Prism p -> r) -> Constraints A_Setter p -> r

Is A_Prism A_Traversal

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Prism A_Traversal p -> (Constraints A_Prism p -> r) -> Constraints A_Traversal p -> r

Is A_Prism An_AffineTraversal

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Prism An_AffineTraversal p -> (Constraints A_Prism p -> r) -> Constraints An_AffineTraversal p -> r

Is An_Iso A_Prism

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso A_Prism p -> (Constraints An_Iso p -> r) -> Constraints A_Prism p -> r

ArrowChoice arr => ArrowOptic A_Prism arr

Defined in Optics.Arrow

Methods

overA :: Optic A_Prism is s t a b -> arr a b -> arr s t

ToReadOnly A_Prism s t a b

Defined in Optics.ReadOnly

Methods

getting :: Optic A_Prism is s t a b -> Optic' (Join A_Getter A_Prism) is s a

type ReversedOptic A_Prism

Defined in Optics.Re

type ReversedOptic A_Prism = A_ReversedPrism

data An_AffineTraversal :: OpticKind

Tag for an affine traversal.

Instances

Is An_AffineTraversal A_Fold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_AffineTraversal A_Fold p -> (Constraints An_AffineTraversal p -> r) -> Constraints A_Fold p -> r

Is An_AffineTraversal An_AffineFold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_AffineTraversal An_AffineFold p -> (Constraints An_AffineTraversal p -> r) -> Constraints An_AffineFold p -> r

Is An_AffineTraversal A_Setter

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_AffineTraversal A_Setter p -> (Constraints An_AffineTraversal p -> r) -> Constraints A_Setter p -> r

Is An_AffineTraversal A_Traversal

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_AffineTraversal A_Traversal p -> (Constraints An_AffineTraversal p -> r) -> Constraints A_Traversal p -> r

Is A_Prism An_AffineTraversal

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Prism An_AffineTraversal p -> (Constraints A_Prism p -> r) -> Constraints An_AffineTraversal p -> r

Is A_Lens An_AffineTraversal

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Lens An_AffineTraversal p -> (Constraints A_Lens p -> r) -> Constraints An_AffineTraversal p -> r

Is An_Iso An_AffineTraversal

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso An_AffineTraversal p -> (Constraints An_Iso p -> r) -> Constraints An_AffineTraversal p -> r

ArrowChoice arr => ArrowOptic An_AffineTraversal arr

Defined in Optics.Arrow

Methods

overA :: Optic An_AffineTraversal is s t a b -> arr a b -> arr s t

ToReadOnly An_AffineTraversal s t a b

Defined in Optics.ReadOnly

Methods

getting :: Optic An_AffineTraversal is s t a b -> Optic' (Join A_Getter An_AffineTraversal) is s a

IxOptic An_AffineTraversal s t a b

Defined in Optics.Indexed.Core

Methods

noIx :: NonEmptyIndices is => Optic An_AffineTraversal is s t a b -> Optic An_AffineTraversal NoIx s t a b

data A_Traversal :: OpticKind

Tag for a traversal.

Instances

Is A_Traversal A_Fold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Traversal A_Fold p -> (Constraints A_Traversal p -> r) -> Constraints A_Fold p -> r

Is A_Traversal A_Setter

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Traversal A_Setter p -> (Constraints A_Traversal p -> r) -> Constraints A_Setter p -> r

Is An_AffineTraversal A_Traversal

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_AffineTraversal A_Traversal p -> (Constraints An_AffineTraversal p -> r) -> Constraints A_Traversal p -> r

Is A_Prism A_Traversal

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Prism A_Traversal p -> (Constraints A_Prism p -> r) -> Constraints A_Traversal p -> r

Is A_Lens A_Traversal

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Lens A_Traversal p -> (Constraints A_Lens p -> r) -> Constraints A_Traversal p -> r

Is An_Iso A_Traversal

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso A_Traversal p -> (Constraints An_Iso p -> r) -> Constraints A_Traversal p -> r

ToReadOnly A_Traversal s t a b

Defined in Optics.ReadOnly

Methods

getting :: Optic A_Traversal is s t a b -> Optic' (Join A_Getter A_Traversal) is s a

IxOptic A_Traversal s t a b

Defined in Optics.Indexed.Core

Methods

noIx :: NonEmptyIndices is => Optic A_Traversal is s t a b -> Optic A_Traversal NoIx s t a b

data A_Setter :: OpticKind

Tag for a setter.

Instances

Is A_Traversal A_Setter

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Traversal A_Setter p -> (Constraints A_Traversal p -> r) -> Constraints A_Setter p -> r

Is An_AffineTraversal A_Setter

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_AffineTraversal A_Setter p -> (Constraints An_AffineTraversal p -> r) -> Constraints A_Setter p -> r

Is A_Prism A_Setter

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Prism A_Setter p -> (Constraints A_Prism p -> r) -> Constraints A_Setter p -> r

Is A_Lens A_Setter

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Lens A_Setter p -> (Constraints A_Lens p -> r) -> Constraints A_Setter p -> r

Is An_Iso A_Setter

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso A_Setter p -> (Constraints An_Iso p -> r) -> Constraints A_Setter p -> r

IxOptic A_Setter s t a b

Defined in Optics.Indexed.Core

Methods

noIx :: NonEmptyIndices is => Optic A_Setter is s t a b -> Optic A_Setter NoIx s t a b

data A_ReversedPrism :: OpticKind

Tag for a reversed prism.

Instances

ReversibleOptic A_ReversedPrism

Defined in Optics.Re

Associated Types

type ReversedOptic A_ReversedPrism = (r :: Type)

Methods

re :: AcceptsEmptyIndices "re" is => Optic A_ReversedPrism is s t a b -> Optic (ReversedOptic A_ReversedPrism) is b a t s

Is A_ReversedPrism A_Fold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_ReversedPrism A_Fold p -> (Constraints A_ReversedPrism p -> r) -> Constraints A_Fold p -> r

Is A_ReversedPrism An_AffineFold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_ReversedPrism An_AffineFold p -> (Constraints A_ReversedPrism p -> r) -> Constraints An_AffineFold p -> r

Is A_ReversedPrism A_Getter

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_ReversedPrism A_Getter p -> (Constraints A_ReversedPrism p -> r) -> Constraints A_Getter p -> r

Is An_Iso A_ReversedPrism

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso A_ReversedPrism p -> (Constraints An_Iso p -> r) -> Constraints A_ReversedPrism p -> r

ToReadOnly A_ReversedPrism s t a b

Defined in Optics.ReadOnly

Methods

getting :: Optic A_ReversedPrism is s t a b -> Optic' (Join A_Getter A_ReversedPrism) is s a

type ReversedOptic A_ReversedPrism

Defined in Optics.Re

type ReversedOptic A_ReversedPrism = A_Prism

data A_Getter :: OpticKind

Tag for a getter.

Instances

ReversibleOptic A_Getter

Defined in Optics.Re

Associated Types

type ReversedOptic A_Getter = (r :: Type)

Methods

re :: AcceptsEmptyIndices "re" is => Optic A_Getter is s t a b -> Optic (ReversedOptic A_Getter) is b a t s

Is A_Getter A_Fold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Getter A_Fold p -> (Constraints A_Getter p -> r) -> Constraints A_Fold p -> r

Is A_Getter An_AffineFold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Getter An_AffineFold p -> (Constraints A_Getter p -> r) -> Constraints An_AffineFold p -> r

Is A_ReversedPrism A_Getter

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_ReversedPrism A_Getter p -> (Constraints A_ReversedPrism p -> r) -> Constraints A_Getter p -> r

Is A_Lens A_Getter

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Lens A_Getter p -> (Constraints A_Lens p -> r) -> Constraints A_Getter p -> r

Is An_Iso A_Getter

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso A_Getter p -> (Constraints An_Iso p -> r) -> Constraints A_Getter p -> r

(s ~ t, a ~ b) => ToReadOnly A_Getter s t a b

Defined in Optics.ReadOnly

Methods

getting :: Optic A_Getter is s t a b -> Optic' (Join A_Getter A_Getter) is s a

(s ~ t, a ~ b) => IxOptic A_Getter s t a b

Defined in Optics.Indexed.Core

Methods

noIx :: NonEmptyIndices is => Optic A_Getter is s t a b -> Optic A_Getter NoIx s t a b

type ReversedOptic A_Getter

Defined in Optics.Re

type ReversedOptic A_Getter = A_Review

data An_AffineFold :: OpticKind

Tag for an affine fold.

Instances

Is An_AffineFold A_Fold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_AffineFold A_Fold p -> (Constraints An_AffineFold p -> r) -> Constraints A_Fold p -> r

Is A_Getter An_AffineFold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Getter An_AffineFold p -> (Constraints A_Getter p -> r) -> Constraints An_AffineFold p -> r

Is A_ReversedPrism An_AffineFold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_ReversedPrism An_AffineFold p -> (Constraints A_ReversedPrism p -> r) -> Constraints An_AffineFold p -> r

Is An_AffineTraversal An_AffineFold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_AffineTraversal An_AffineFold p -> (Constraints An_AffineTraversal p -> r) -> Constraints An_AffineFold p -> r

Is A_Prism An_AffineFold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Prism An_AffineFold p -> (Constraints A_Prism p -> r) -> Constraints An_AffineFold p -> r

Is A_Lens An_AffineFold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Lens An_AffineFold p -> (Constraints A_Lens p -> r) -> Constraints An_AffineFold p -> r

Is An_Iso An_AffineFold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso An_AffineFold p -> (Constraints An_Iso p -> r) -> Constraints An_AffineFold p -> r

(s ~ t, a ~ b) => ToReadOnly An_AffineFold s t a b

Defined in Optics.ReadOnly

Methods

getting :: Optic An_AffineFold is s t a b -> Optic' (Join A_Getter An_AffineFold) is s a

(s ~ t, a ~ b) => IxOptic An_AffineFold s t a b

Defined in Optics.Indexed.Core

Methods

noIx :: NonEmptyIndices is => Optic An_AffineFold is s t a b -> Optic An_AffineFold NoIx s t a b

data A_Fold :: OpticKind

Tag for a fold.

Instances

Is An_AffineFold A_Fold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_AffineFold A_Fold p -> (Constraints An_AffineFold p -> r) -> Constraints A_Fold p -> r

Is A_Getter A_Fold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Getter A_Fold p -> (Constraints A_Getter p -> r) -> Constraints A_Fold p -> r

Is A_ReversedPrism A_Fold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_ReversedPrism A_Fold p -> (Constraints A_ReversedPrism p -> r) -> Constraints A_Fold p -> r

Is A_Traversal A_Fold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Traversal A_Fold p -> (Constraints A_Traversal p -> r) -> Constraints A_Fold p -> r

Is An_AffineTraversal A_Fold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_AffineTraversal A_Fold p -> (Constraints An_AffineTraversal p -> r) -> Constraints A_Fold p -> r

Is A_Prism A_Fold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Prism A_Fold p -> (Constraints A_Prism p -> r) -> Constraints A_Fold p -> r

Is A_Lens A_Fold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Lens A_Fold p -> (Constraints A_Lens p -> r) -> Constraints A_Fold p -> r

Is An_Iso A_Fold

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso A_Fold p -> (Constraints An_Iso p -> r) -> Constraints A_Fold p -> r

(s ~ t, a ~ b) => ToReadOnly A_Fold s t a b

Defined in Optics.ReadOnly

Methods

getting :: Optic A_Fold is s t a b -> Optic' (Join A_Getter A_Fold) is s a

(s ~ t, a ~ b) => IxOptic A_Fold s t a b

Defined in Optics.Indexed.Core

Methods

noIx :: NonEmptyIndices is => Optic A_Fold is s t a b -> Optic A_Fold NoIx s t a b

data A_ReversedLens :: OpticKind

Tag for a reversed lens.

Instances

ReversibleOptic A_ReversedLens

Defined in Optics.Re

Associated Types

type ReversedOptic A_ReversedLens = (r :: Type)

Methods

re :: AcceptsEmptyIndices "re" is => Optic A_ReversedLens is s t a b -> Optic (ReversedOptic A_ReversedLens) is b a t s

Is A_ReversedLens A_Review

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_ReversedLens A_Review p -> (Constraints A_ReversedLens p -> r) -> Constraints A_Review p -> r

Is An_Iso A_ReversedLens

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso A_ReversedLens p -> (Constraints An_Iso p -> r) -> Constraints A_ReversedLens p -> r

type ReversedOptic A_ReversedLens

Defined in Optics.Re

type ReversedOptic A_ReversedLens = A_Lens

data A_Review :: OpticKind

Tag for a review.

Instances

ReversibleOptic A_Review

Defined in Optics.Re

Associated Types

type ReversedOptic A_Review = (r :: Type)

Methods

re :: AcceptsEmptyIndices "re" is => Optic A_Review is s t a b -> Optic (ReversedOptic A_Review) is b a t s

Is A_ReversedLens A_Review

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_ReversedLens A_Review p -> (Constraints A_ReversedLens p -> r) -> Constraints A_Review p -> r

Is A_Prism A_Review

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy A_Prism A_Review p -> (Constraints A_Prism p -> r) -> Constraints A_Review p -> r

Is An_Iso A_Review

Defined in Optics.Internal.Optic.Subtyping

Methods

implies :: proxy An_Iso A_Review p -> (Constraints An_Iso p -> r) -> Constraints A_Review p -> r

type ReversedOptic A_Review

Defined in Optics.Re

type ReversedOptic A_Review = A_Getter

type family Constraints (k :: OpticKind) (p :: Type -> Type -> Type -> Type) :: Constraint where ...

Mapping tag types k to constraints on p.

Using this type family we define the constraints that the various flavours of optics have to fulfill.

Equations

Constraints An_Iso p = Profunctor p

Constraints A_Lens p = Strong p

Constraints A_ReversedLens p = Costrong p

Constraints A_Prism p = Choice p

Constraints A_ReversedPrism p = Cochoice p

Constraints An_AffineTraversal p = Visiting p

Constraints A_Traversal p = Traversing p

Constraints A_Setter p = Mapping p

Constraints A_Getter p = (Bicontravariant p, Cochoice p, Strong p)

Constraints An_AffineFold p = (Bicontravariant p, Cochoice p, Visiting p)

Constraints A_Fold p = (Bicontravariant p, Cochoice p, Traversing p)

Constraints A_Review p = (Bifunctor p, Choice p, Costrong p)