Pandora.Paradigm.Primary.Transformer.Flip

Documentation

newtype Flip (v :: * -> * -> *) a e

Constructors

Flip (v e a)

Instances

Category (Flip ((->) :: Type -> Type -> Type))

Defined in Pandora.Paradigm.Primary

Methods

identity :: Flip (->) a a

(.) :: Flip (->) b c -> Flip (->) a b -> Flip (->) a c

($) :: Flip (->) (Flip (->) a b) (Flip (->) a b)

(#) :: Flip (->) (Flip (->) a b) (Flip (->) a b)

(forall i. Covariant (Flip v i), Bivariant v) => Bivariant (Flip v)

Defined in Pandora.Paradigm.Primary.Transformer.Flip

Methods

(<->) :: (forall i. Covariant (Flip v i)) => (a -> b) -> (c -> d) -> Flip v a c -> Flip v b d

bimap :: (forall i. Covariant (Flip v i)) => (a -> b) -> (c -> d) -> Flip v a c -> Flip v b d

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 ('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)

Contravariant (Flip ((->) :: Type -> Type -> Type) r)

Defined in Pandora.Paradigm.Primary

Methods

(>$<) :: (a -> b) -> Flip (->) r b -> Flip (->) r a

contramap :: (a -> b) -> Flip (->) r b -> Flip (->) r a

(>$) :: b -> Flip (->) r b -> Flip (->) r a

($<) :: Flip (->) r b -> b -> Flip (->) r a

full :: Flip (->) r () -> Flip (->) r a

(>&<) :: Flip (->) r b -> (a -> b) -> Flip (->) r a

(>$$<) :: Contravariant u => (a -> b) -> ((Flip (->) r :. u) := a) -> (Flip (->) r :. u) := b

(>$$$<) :: (Contravariant u, Contravariant v) => (a -> b) -> ((Flip (->) r :. (u :. v)) := b) -> (Flip (->) r :. (u :. v)) := a

(>$$$$<) :: (Contravariant u, Contravariant v, Contravariant w) => (a -> b) -> ((Flip (->) r :. (u :. (v :. w))) := a) -> (Flip (->) r :. (u :. (v :. w))) := b

(>&&<) :: Contravariant u => ((Flip (->) r :. u) := a) -> (a -> b) -> (Flip (->) r :. u) := b

(>&&&<) :: (Contravariant u, Contravariant v) => ((Flip (->) r :. (u :. v)) := b) -> (a -> b) -> (Flip (->) r :. (u :. v)) := a

(>&&&&<) :: (Contravariant u, Contravariant v, Contravariant w) => ((Flip (->) r :. (u :. (v :. w))) := a) -> (a -> b) -> (Flip (->) r :. (u :. (v :. w))) := b

Covariant (Flip (:*:) a)

Defined in Pandora.Paradigm.Primary

Methods

(<$>) :: (a0 -> b) -> Flip (:*:) a a0 -> Flip (:*:) a b

comap :: (a0 -> b) -> Flip (:*:) a a0 -> Flip (:*:) a b

(<$) :: a0 -> Flip (:*:) a b -> Flip (:*:) a a0

($>) :: Flip (:*:) a a0 -> b -> Flip (:*:) a b

void :: Flip (:*:) a a0 -> Flip (:*:) a ()

loeb :: Flip (:*:) a (a0 <:= Flip (:*:) a) -> Flip (:*:) a a0

(<&>) :: Flip (:*:) a a0 -> (a0 -> b) -> Flip (:*:) a b

(<$$>) :: Covariant u => (a0 -> b) -> ((Flip (:*:) a :. u) := a0) -> (Flip (:*:) a :. u) := b

(<$$$>) :: (Covariant u, Covariant v) => (a0 -> b) -> ((Flip (:*:) a :. (u :. v)) := a0) -> (Flip (:*:) a :. (u :. v)) := b

(<$$$$>) :: (Covariant u, Covariant v, Covariant w) => (a0 -> b) -> ((Flip (:*:) a :. (u :. (v :. w))) := a0) -> (Flip (:*:) a :. (u :. (v :. w))) := b

(<&&>) :: Covariant u => ((Flip (:*:) a :. u) := a0) -> (a0 -> b) -> (Flip (:*:) a :. u) := b

(<&&&>) :: (Covariant u, Covariant v) => ((Flip (:*:) a :. (u :. v)) := a0) -> (a0 -> b) -> (Flip (:*:) a :. (u :. v)) := b

(<&&&&>) :: (Covariant u, Covariant v, Covariant w) => ((Flip (:*:) a :. (u :. (v :. w))) := a0) -> (a0 -> b) -> (Flip (:*:) a :. (u :. (v :. w))) := b

(.#..) :: (Flip (:*:) a ~ v a0, Category v) => v c d -> ((v a0 :. v b) := c) -> (v a0 :. v b) := d

(.#...) :: (Flip (:*:) a ~ v a0, Flip (:*:) a ~ v b, Category v, Covariant (v a0), Covariant (v b)) => v d e -> ((v a0 :. (v b :. v c)) := d) -> (v a0 :. (v b :. v c)) := e

(.#....) :: (Flip (:*:) a ~ v a0, Flip (:*:) a ~ v b, Flip (:*:) a ~ v c, Category v, Covariant (v a0), Covariant (v b), Covariant (v c)) => v e f -> ((v a0 :. (v b :. (v c :. v d))) := e) -> (v a0 :. (v b :. (v c :. v d))) := f

(<$$) :: Covariant u => b -> ((Flip (:*:) a :. u) := a0) -> (Flip (:*:) a :. u) := b

(<$$$) :: (Covariant u, Covariant v) => b -> ((Flip (:*:) a :. (u :. v)) := a0) -> (Flip (:*:) a :. (u :. v)) := b

(<$$$$) :: (Covariant u, Covariant v, Covariant w) => b -> ((Flip (:*:) a :. (u :. (v :. w))) := a0) -> (Flip (:*:) a :. (u :. (v :. w))) := b

($$>) :: Covariant u => ((Flip (:*:) a :. u) := a0) -> b -> (Flip (:*:) a :. u) := b

($$$>) :: (Covariant u, Covariant v) => ((Flip (:*:) a :. (u :. v)) := a0) -> b -> (Flip (:*:) a :. (u :. v)) := b

($$$$>) :: (Covariant u, Covariant v, Covariant w) => ((Flip (:*:) a :. (u :. (v :. w))) := a0) -> b -> (Flip (:*:) a :. (u :. (v :. w))) := b

Extractable (Flip (:*:) a)

Defined in Pandora.Paradigm.Primary

Methods

extract :: a0 <:= Flip (:*:) a

Interpreted (Flip v a)

Defined in Pandora.Paradigm.Primary.Transformer.Flip

Associated Types

type Primary (Flip v a) a

Methods

run :: Flip v a a0 -> Primary (Flip v a) a0

unite :: Primary (Flip v a) a0 -> Flip v a a0

(||=) :: Interpreted u => (Primary (Flip v a) a0 -> Primary u b) -> Flip v a a0 -> u b

(=||) :: Interpreted u => (Flip v a a0 -> u b) -> Primary (Flip v a) a0 -> Primary u b

(<$||=) :: (Covariant j, Interpreted u) => (Primary (Flip v a) a0 -> Primary u b) -> (j := Flip v a a0) -> j := u b

(<$$||=) :: (Covariant j, Covariant k, Interpreted u) => (Primary (Flip v a) a0 -> Primary u b) -> ((j :. k) := Flip v a a0) -> (j :. k) := u b

(<$$$||=) :: (Covariant j, Covariant k, Covariant l, Interpreted u) => (Primary (Flip v a) a0 -> Primary u b) -> ((j :. (k :. l)) := Flip v a a0) -> (j :. (k :. l)) := u b

(<$$$$||=) :: (Covariant j, Covariant k, Covariant l, Covariant m, Interpreted u) => (Primary (Flip v a) a0 -> Primary u b) -> ((j :. (k :. (l :. m))) := Flip v a a0) -> (j :. (k :. (l :. m))) := u b

(=||$>) :: (Covariant j, Interpreted u) => (Flip v a a0 -> u b) -> (j := Primary (Flip v a) a0) -> j := Primary u b

(=||$$>) :: (Covariant j, Covariant k, Interpreted u) => (Flip v a a0 -> u b) -> ((j :. k) := Primary (Flip v a) a0) -> (j :. k) := Primary u b

(=||$$$>) :: (Covariant j, Covariant k, Covariant l, Interpreted u) => (Flip v a a0 -> u b) -> ((j :. (k :. l)) := Primary (Flip v a) a0) -> (j :. (k :. l)) := Primary u b

(=||$$$$>) :: (Covariant j, Covariant k, Covariant l, Covariant m, Interpreted u) => (Flip v a a0 -> u b) -> ((j :. (k :. (l :. m))) := Primary (Flip v a) a0) -> (j :. (k :. (l :. m))) := Primary u b

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

Defined in Pandora.Paradigm.Structure

Associated Types

type Substructural 'Left (Flip Product a2) :: Type -> Type

Methods

substructure :: (Tagged 'Left <:.> Flip Product a2) :~. Substructural 'Left (Flip Product a2)

sub :: Flip Product a2 :~. Substructural 'Left (Flip Product a2)

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 ('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 Primary (Flip v a) e

Defined in Pandora.Paradigm.Primary.Transformer.Flip

type Primary (Flip v a) e = v e a

type Substructural ('Left :: a1 -> Wye a1) (Flip Product a2)

Defined in Pandora.Paradigm.Structure

type Substructural ('Left :: a1 -> Wye a1) (Flip Product a2) = Identity