Safe Haskell | Safe-Inferred |
---|---|
Language | Haskell2010 |
Documentation
Instances
Liftable Yoneda Source # | |
Covariant (Yoneda t) Source # | |
Defined in Pandora.Paradigm.Primary.Transformer.Yoneda (<$>) :: (a -> b) -> Yoneda t a -> Yoneda t b Source # comap :: (a -> b) -> Yoneda t a -> Yoneda t b Source # (<$) :: a -> Yoneda t b -> Yoneda t a Source # ($>) :: Yoneda t a -> b -> Yoneda t b Source # void :: Yoneda t a -> Yoneda t () Source # loeb :: Yoneda t (a <:= Yoneda t) -> Yoneda t a Source # (<&>) :: Yoneda t a -> (a -> b) -> Yoneda t b Source # (<$$>) :: Covariant u => (a -> b) -> ((Yoneda t :. u) := a) -> (Yoneda t :. u) := b Source # (<$$$>) :: (Covariant u, Covariant v) => (a -> b) -> ((Yoneda t :. (u :. v)) := a) -> (Yoneda t :. (u :. v)) := b Source # (<$$$$>) :: (Covariant u, Covariant v, Covariant w) => (a -> b) -> ((Yoneda t :. (u :. (v :. w))) := a) -> (Yoneda t :. (u :. (v :. w))) := b Source # (<&&>) :: Covariant u => ((Yoneda t :. u) := a) -> (a -> b) -> (Yoneda t :. u) := b Source # (<&&&>) :: (Covariant u, Covariant v) => ((Yoneda t :. (u :. v)) := a) -> (a -> b) -> (Yoneda t :. (u :. v)) := b Source # (<&&&&>) :: (Covariant u, Covariant v, Covariant w) => ((Yoneda t :. (u :. (v :. w))) := a) -> (a -> b) -> (Yoneda t :. (u :. (v :. w))) := b Source # (.#..) :: (Yoneda t ~ v a, Category v) => v c d -> ((v a :. v b) := c) -> (v a :. v b) := d Source # (.#...) :: (Yoneda t ~ v a, Yoneda t ~ v b, Category v, Covariant (v a), Covariant (v b)) => v d e -> ((v a :. (v b :. v c)) := d) -> (v a :. (v b :. v c)) := e Source # (.#....) :: (Yoneda t ~ v a, Yoneda t ~ v b, Yoneda t ~ v c, Category v, Covariant (v a), Covariant (v b), Covariant (v c)) => v e f -> ((v a :. (v b :. (v c :. v d))) := e) -> (v a :. (v b :. (v c :. v d))) := f Source # (<$$) :: Covariant u => b -> ((Yoneda t :. u) := a) -> (Yoneda t :. u) := b Source # (<$$$) :: (Covariant u, Covariant v) => b -> ((Yoneda t :. (u :. v)) := a) -> (Yoneda t :. (u :. v)) := b Source # (<$$$$) :: (Covariant u, Covariant v, Covariant w) => b -> ((Yoneda t :. (u :. (v :. w))) := a) -> (Yoneda t :. (u :. (v :. w))) := b Source # ($$>) :: Covariant u => ((Yoneda t :. u) := a) -> b -> (Yoneda t :. u) := b Source # ($$$>) :: (Covariant u, Covariant v) => ((Yoneda t :. (u :. v)) := a) -> b -> (Yoneda t :. (u :. v)) := b Source # ($$$$>) :: (Covariant u, Covariant v, Covariant w) => ((Yoneda t :. (u :. (v :. w))) := a) -> b -> (Yoneda t :. (u :. (v :. w))) := b Source # | |
Applicative t => Applicative (Yoneda t) Source # | |
Defined in Pandora.Paradigm.Primary.Transformer.Yoneda (<*>) :: Yoneda t (a -> b) -> Yoneda t a -> Yoneda t b Source # apply :: Yoneda t (a -> b) -> Yoneda t a -> Yoneda t b Source # (*>) :: Yoneda t a -> Yoneda t b -> Yoneda t b Source # (<*) :: Yoneda t a -> Yoneda t b -> Yoneda t a Source # forever :: Yoneda t a -> Yoneda t b Source # (<%>) :: Yoneda t a -> Yoneda t (a -> b) -> Yoneda t b Source # (<**>) :: Applicative u => ((Yoneda t :. u) := (a -> b)) -> ((Yoneda t :. u) := a) -> (Yoneda t :. u) := b Source # (<***>) :: (Applicative u, Applicative v) => ((Yoneda t :. (u :. v)) := (a -> b)) -> ((Yoneda t :. (u :. v)) := a) -> (Yoneda t :. (u :. v)) := b Source # (<****>) :: (Applicative u, Applicative v, Applicative w) => ((Yoneda t :. (u :. (v :. w))) := (a -> b)) -> ((Yoneda t :. (u :. (v :. w))) := a) -> (Yoneda t :. (u :. (v :. w))) := b Source # | |
Alternative t => Alternative (Yoneda t) Source # | |
Avoidable t => Avoidable (Yoneda t) Source # | |
Defined in Pandora.Paradigm.Primary.Transformer.Yoneda | |
Extractable t => Extractable (Yoneda t) Source # | |
Pointable t => Pointable (Yoneda t) Source # | |
(Extractable t, Pointable t, Extractable u, Pointable u) => Adjoint (Yoneda t) (Yoneda u) Source # | |
Defined in Pandora.Paradigm.Primary.Transformer.Yoneda (-|) :: a -> (Yoneda t a -> b) -> Yoneda u b Source # (|-) :: Yoneda t a -> (a -> Yoneda u b) -> b Source # phi :: (Yoneda t a -> b) -> a -> Yoneda u b Source # psi :: (a -> Yoneda u b) -> Yoneda t a -> b Source # eta :: a -> (Yoneda u :. Yoneda t) := a Source # epsilon :: ((Yoneda t :. Yoneda u) := a) -> a Source # (-|$) :: Covariant v => v a -> (Yoneda t a -> b) -> v (Yoneda u b) Source # ($|-) :: Covariant v => v (Yoneda t a) -> (a -> Yoneda u b) -> v b Source # ($$|-) :: (Covariant v, Covariant w) => ((v :. (w :. Yoneda t)) := a) -> (a -> Yoneda u b) -> (v :. w) := b Source # ($$$|-) :: (Covariant v, Covariant w, Covariant x) => ((v :. (w :. (x :. Yoneda t))) := a) -> (a -> Yoneda u b) -> (v :. (w :. x)) := b Source # ($$$$|-) :: (Covariant v, Covariant w, Covariant x, Covariant y) => ((v :. (w :. (x :. (y :. Yoneda t)))) := a) -> (a -> Yoneda u b) -> (v :. (w :. (x :. y))) := b Source # |