Pandora.Paradigm.Primary.Functor.Constant

Documentation

newtype Constant a b

Constructors

Constant a

Instances

Bivariant (Constant :: Type -> Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Constant

Methods

(<->) :: (a -> b) -> (c -> d) -> Constant a c -> Constant b d

bimap :: (a -> b) -> (c -> d) -> Constant a c -> Constant b d

Contravariant (Constant a :: Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Constant

Methods

(>$<) :: (a0 -> b) -> Constant a b -> Constant a a0

contramap :: (a0 -> b) -> Constant a b -> Constant a a0

(>$) :: b -> Constant a b -> Constant a a0

($<) :: Constant a b -> b -> Constant a a0

full :: Constant a () -> Constant a a0

(>&<) :: Constant a b -> (a0 -> b) -> Constant a a0

(>$$<) :: Contravariant u => (a0 -> b) -> ((Constant a :. u) := a0) -> (Constant a :. u) := b

(>$$$<) :: (Contravariant u, Contravariant v) => (a0 -> b) -> ((Constant a :. (u :. v)) := b) -> (Constant a :. (u :. v)) := a0

(>$$$$<) :: (Contravariant u, Contravariant v, Contravariant w) => (a0 -> b) -> ((Constant a :. (u :. (v :. w))) := a0) -> (Constant a :. (u :. (v :. w))) := b

(>&&<) :: Contravariant u => ((Constant a :. u) := a0) -> (a0 -> b) -> (Constant a :. u) := b

(>&&&<) :: (Contravariant u, Contravariant v) => ((Constant a :. (u :. v)) := b) -> (a0 -> b) -> (Constant a :. (u :. v)) := a0

(>&&&&<) :: (Contravariant u, Contravariant v, Contravariant w) => ((Constant a :. (u :. (v :. w))) := a0) -> (a0 -> b) -> (Constant a :. (u :. (v :. w))) := b

Covariant (Constant a :: Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Constant

Methods

(<$>) :: (a0 -> b) -> Constant a a0 -> Constant a b

comap :: (a0 -> b) -> Constant a a0 -> Constant a b

(<$) :: a0 -> Constant a b -> Constant a a0

($>) :: Constant a a0 -> b -> Constant a b

void :: Constant a a0 -> Constant a ()

loeb :: Constant a (a0 <-| Constant a) -> Constant a a0

(<&>) :: Constant a a0 -> (a0 -> b) -> Constant a b

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

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

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

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

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

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

Invariant (Constant a :: Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Constant

Methods

invmap :: (a0 -> b) -> (b -> a0) -> Constant a a0 -> Constant a b

Traversable (Constant a :: Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Constant

Methods

(->>) :: (Pointable u, Applicative u) => Constant a a0 -> (a0 -> u b) -> (u :. Constant a) := b

traverse :: (Pointable u, Applicative u) => (a0 -> u b) -> Constant a a0 -> (u :. Constant a) := b

sequence :: (Pointable u, Applicative u) => ((Constant a :. u) := a0) -> (u :. Constant a) := a0

(->>>) :: (Pointable u, Applicative u, Traversable v) => ((v :. Constant a) := a0) -> (a0 -> u b) -> (u :. (v :. Constant a)) := b

(->>>>) :: (Pointable u, Applicative u, Traversable v, Traversable w) => ((w :. (v :. Constant a)) := a0) -> (a0 -> u b) -> (u :. (w :. (v :. Constant a))) := b

(->>>>>) :: (Pointable u, Applicative u, Traversable v, Traversable w, Traversable j) => ((j :. (w :. (v :. Constant a))) := a0) -> (a0 -> u b) -> (u :. (j :. (w :. (v :. Constant a)))) := b

Semigroup a => Semigroup (Constant a b)

Defined in Pandora.Paradigm.Primary.Functor.Constant

Methods

(+) :: Constant a b -> Constant a b -> Constant a b

Ringoid a => Ringoid (Constant a b)

Defined in Pandora.Paradigm.Primary.Functor.Constant

Methods

(*) :: Constant a b -> Constant a b -> Constant a b

Monoid a => Monoid (Constant a b)

Defined in Pandora.Paradigm.Primary.Functor.Constant

Methods

zero :: Constant a b

Quasiring a => Quasiring (Constant a b)

Defined in Pandora.Paradigm.Primary.Functor.Constant

Methods

one :: Constant a b

Group a => Group (Constant a b)

Defined in Pandora.Paradigm.Primary.Functor.Constant

Methods

invert :: Constant a b -> Constant a b

Supremum a => Supremum (Constant a b)

Defined in Pandora.Paradigm.Primary.Functor.Constant

Methods

(\/) :: Constant a b -> Constant a b -> Constant a b

Infimum a => Infimum (Constant a b)

Defined in Pandora.Paradigm.Primary.Functor.Constant

Methods

(/\) :: Constant a b -> Constant a b -> Constant a b

Lattice a => Lattice (Constant a b)

Defined in Pandora.Paradigm.Primary.Functor.Constant

Setoid a => Setoid (Constant a b)

Defined in Pandora.Paradigm.Primary.Functor.Constant

Methods

(==) :: Constant a b -> Constant a b -> Boolean

(/=) :: Constant a b -> Constant a b -> Boolean

Chain a => Chain (Constant a b)

Defined in Pandora.Paradigm.Primary.Functor.Constant

Methods

(<=>) :: Constant a b -> Constant a b -> Ordering

(<) :: Constant a b -> Constant a b -> Boolean

(<=) :: Constant a b -> Constant a b -> Boolean

(>) :: Constant a b -> Constant a b -> Boolean

(>=) :: Constant a b -> Constant a b -> Boolean