module Data.Functor.Syntax where
import Data.Function.Syntax
(<$$>) :: (Functor f0, Functor f1) =>
(a -> b)
-> f1 (f0 a)
-> f1 (f0 b)
<$$> :: forall (f0 :: * -> *) (f1 :: * -> *) a b.
(Functor f0, Functor f1) =>
(a -> b) -> f1 (f0 a) -> f1 (f0 b)
(<$$>) = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap
infixr 8 <$$>
(<$$$>) :: (Functor f0, Functor f1, Functor f2) =>
(a -> b)
-> f2 (f1 (f0 a))
-> f2 (f1 (f0 b))
<$$$> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) a b.
(Functor f0, Functor f1, Functor f2) =>
(a -> b) -> f2 (f1 (f0 a)) -> f2 (f1 (f0 b))
(<$$$>) = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap
infixr 8 <$$$>
(<$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3) =>
(a -> b)
-> f3 (f2 (f1 (f0 a)))
-> f3 (f2 (f1 (f0 b)))
<$$$$> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
a b.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
(a -> b) -> f3 (f2 (f1 (f0 a))) -> f3 (f2 (f1 (f0 b)))
(<$$$$>) = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap
infixr 8 <$$$$>
(<$$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
(a -> b)
-> f4 (f3 (f2 (f1 (f0 a))))
-> f4 (f3 (f2 (f1 (f0 b))))
<$$$$$> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
(f4 :: * -> *) a b.
(Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
(a -> b) -> f4 (f3 (f2 (f1 (f0 a)))) -> f4 (f3 (f2 (f1 (f0 b))))
(<$$$$$>) = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap
infixr 8 <$$$$$>
(<&&>) :: (Functor f0, Functor f1) =>
f1 (f0 a)
-> (a -> b)
-> f1 (f0 b)
<&&> :: forall (f0 :: * -> *) (f1 :: * -> *) a b.
(Functor f0, Functor f1) =>
f1 (f0 a) -> (a -> b) -> f1 (f0 b)
(<&&>) = forall a b c. (a -> b -> c) -> b -> a -> c
flip (forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap)
infixl 1 <&&>
(<&&&>) :: (Functor f0, Functor f1, Functor f2) =>
f2 (f1 (f0 a))
-> (a -> b)
-> f2 (f1 (f0 b))
<&&&> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) a b.
(Functor f0, Functor f1, Functor f2) =>
f2 (f1 (f0 a)) -> (a -> b) -> f2 (f1 (f0 b))
(<&&&>) = forall a b c. (a -> b -> c) -> b -> a -> c
flip (forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap)
infixl 1 <&&&>
(<&&&&>) :: (Functor f0, Functor f1, Functor f2, Functor f3) =>
f3 (f2 (f1 (f0 a)))
-> (a -> b)
-> f3 (f2 (f1 (f0 b)))
<&&&&> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
a b.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
f3 (f2 (f1 (f0 a))) -> (a -> b) -> f3 (f2 (f1 (f0 b)))
(<&&&&>) = forall a b c. (a -> b -> c) -> b -> a -> c
flip (forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap)
infixl 1 <&&&&>
(<&&&&&>) :: (Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
f4 (f3 (f2 (f1 (f0 a))))
-> (a -> b)
-> f4 (f3 (f2 (f1 (f0 b))))
<&&&&&> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
(f4 :: * -> *) a b.
(Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
f4 (f3 (f2 (f1 (f0 a)))) -> (a -> b) -> f4 (f3 (f2 (f1 (f0 b))))
(<&&&&&>) = forall a b c. (a -> b -> c) -> b -> a -> c
flip (forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap)
infixl 1 <&&&&&>
(<$~>) :: Functor f0 =>
f0 (a -> b)
-> a -> f0 b
<$~> :: forall (f0 :: * -> *) a b. Functor f0 => f0 (a -> b) -> a -> f0 b
(<$~>) f0 (a -> b)
f a
x = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (forall a b. (a -> b) -> a -> b
$ a
x) f0 (a -> b)
f
infixl 8 <$~>
(<~$>) :: Functor f0 =>
(a -> b -> c)
-> f0 b
-> f0 (a -> c)
<~$> :: forall (f0 :: * -> *) a b c.
Functor f0 =>
(a -> b -> c) -> f0 b -> f0 (a -> c)
(<~$>) a -> b -> c
f = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c
f forall a b c. (a -> b -> c) -> b -> a -> c
-$)
infixr 8 <~$>
(<$~~>) :: Functor f0 =>
f0 (a -> b -> c)
-> b -> f0 (a -> c)
<$~~> :: forall (f0 :: * -> *) a b c.
Functor f0 =>
f0 (a -> b -> c) -> b -> f0 (a -> c)
(<$~~>) f0 (a -> b -> c)
f b
x = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (forall a b c. (a -> b -> c) -> b -> a -> c
-$ b
x) f0 (a -> b -> c)
f
infixl 8 <$~~>
(<~~$>) :: Functor f0 =>
(a -> b -> c -> d)
-> f0 c
-> f0 (a -> b -> d)
<~~$> :: forall (f0 :: * -> *) a b c d.
Functor f0 =>
(a -> b -> c -> d) -> f0 c -> f0 (a -> b -> d)
(<~~$>) a -> b -> c -> d
f = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c -> d
f forall {a} {b} {c} {d}. (a -> b -> c -> d) -> c -> a -> b -> d
--$)
infixr 8 <~~$>
(<$~~~>) :: Functor f0 =>
f0 (a -> b -> c -> d)
-> c -> f0 (a -> b -> d)
<$~~~> :: forall (f0 :: * -> *) a b c d.
Functor f0 =>
f0 (a -> b -> c -> d) -> c -> f0 (a -> b -> d)
(<$~~~>) f0 (a -> b -> c -> d)
f c
x = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (forall {a} {b} {c} {d}. (a -> b -> c -> d) -> c -> a -> b -> d
--$ c
x) f0 (a -> b -> c -> d)
f
infixl 8 <$~~~>
(<~~~$>) :: Functor f0 =>
(a -> b -> c -> d -> e)
-> f0 d
-> f0 (a -> b -> c -> e)
<~~~$> :: forall (f0 :: * -> *) a b c d e.
Functor f0 =>
(a -> b -> c -> d -> e) -> f0 d -> f0 (a -> b -> c -> e)
(<~~~$>) a -> b -> c -> d -> e
f = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c -> d -> e
f forall {a} {b} {c} {d} {e}.
(a -> b -> c -> d -> e) -> d -> a -> b -> c -> e
---$)
infixr 8 <~~~$>
(<$$~>) :: (Functor f0, Functor f1) =>
f1 (f0 (a -> b))
-> a -> f1 (f0 b)
<$$~> :: forall (f0 :: * -> *) (f1 :: * -> *) a b.
(Functor f0, Functor f1) =>
f1 (f0 (a -> b)) -> a -> f1 (f0 b)
(<$$~>) f1 (f0 (a -> b))
f a
x = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (forall (f0 :: * -> *) a b. Functor f0 => f0 (a -> b) -> a -> f0 b
<$~> a
x) f1 (f0 (a -> b))
f
infixl 8 <$$~>
(<~$$>) :: (Functor f0, Functor f1) =>
(a -> b -> c)
-> f1 (f0 b)
-> f1 (f0 (a -> c))
<~$$> :: forall (f0 :: * -> *) (f1 :: * -> *) a b c.
(Functor f0, Functor f1) =>
(a -> b -> c) -> f1 (f0 b) -> f1 (f0 (a -> c))
(<~$$>) a -> b -> c
f = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c
f forall (f0 :: * -> *) a b c.
Functor f0 =>
(a -> b -> c) -> f0 b -> f0 (a -> c)
<~$>)
infixr 8 <~$$>
(<$$~~>) :: (Functor f0, Functor f1) =>
f1 (f0 (a -> b -> c))
-> b -> f1 (f0 (a -> c))
<$$~~> :: forall (f0 :: * -> *) (f1 :: * -> *) a b c.
(Functor f0, Functor f1) =>
f1 (f0 (a -> b -> c)) -> b -> f1 (f0 (a -> c))
(<$$~~>) f1 (f0 (a -> b -> c))
f b
x = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (forall (f0 :: * -> *) a b c.
Functor f0 =>
f0 (a -> b -> c) -> b -> f0 (a -> c)
<$~~> b
x) f1 (f0 (a -> b -> c))
f
infixl 8 <$$~~>
(<~~$$>) :: (Functor f0, Functor f1) =>
(a -> b -> c -> d)
-> f1 (f0 c)
-> f1 (f0 (a -> b -> d))
<~~$$> :: forall (f0 :: * -> *) (f1 :: * -> *) a b c d.
(Functor f0, Functor f1) =>
(a -> b -> c -> d) -> f1 (f0 c) -> f1 (f0 (a -> b -> d))
(<~~$$>) a -> b -> c -> d
f = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c -> d
f forall (f0 :: * -> *) a b c d.
Functor f0 =>
(a -> b -> c -> d) -> f0 c -> f0 (a -> b -> d)
<~~$>)
infixr 8 <~~$$>
(<$$~~~>) :: (Functor f0, Functor f1) =>
f1 (f0 (a -> b -> c -> d))
-> c -> f1 (f0 (a -> b -> d))
<$$~~~> :: forall (f0 :: * -> *) (f1 :: * -> *) a b c d.
(Functor f0, Functor f1) =>
f1 (f0 (a -> b -> c -> d)) -> c -> f1 (f0 (a -> b -> d))
(<$$~~~>) f1 (f0 (a -> b -> c -> d))
f c
x = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (forall (f0 :: * -> *) a b c d.
Functor f0 =>
f0 (a -> b -> c -> d) -> c -> f0 (a -> b -> d)
<$~~~> c
x) f1 (f0 (a -> b -> c -> d))
f
infixl 8 <$$~~~>
(<~~~$$>) :: (Functor f0, Functor f1) =>
(a -> b -> c -> d -> e)
-> f1 (f0 d)
-> f1 (f0 (a -> b -> c -> e))
<~~~$$> :: forall (f0 :: * -> *) (f1 :: * -> *) a b c d e.
(Functor f0, Functor f1) =>
(a -> b -> c -> d -> e) -> f1 (f0 d) -> f1 (f0 (a -> b -> c -> e))
(<~~~$$>) a -> b -> c -> d -> e
f = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c -> d -> e
f forall (f0 :: * -> *) a b c d e.
Functor f0 =>
(a -> b -> c -> d -> e) -> f0 d -> f0 (a -> b -> c -> e)
<~~~$>)
infixr 8 <~~~$$>
(<$$$~>) :: (Functor f0, Functor f1, Functor f2) =>
f2 (f1 (f0 (a -> b)))
-> a -> f2 (f1 (f0 b))
<$$$~> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) a b.
(Functor f0, Functor f1, Functor f2) =>
f2 (f1 (f0 (a -> b))) -> a -> f2 (f1 (f0 b))
(<$$$~>) f2 (f1 (f0 (a -> b)))
f a
x = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (forall (f0 :: * -> *) (f1 :: * -> *) a b.
(Functor f0, Functor f1) =>
f1 (f0 (a -> b)) -> a -> f1 (f0 b)
<$$~> a
x) f2 (f1 (f0 (a -> b)))
f
infixl 8 <$$$~>
(<~$$$>) :: (Functor f0, Functor f1, Functor f2) =>
(a -> b -> c)
-> f2 (f1 (f0 b))
-> f2 (f1 (f0 (a -> c)))
<~$$$> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) a b c.
(Functor f0, Functor f1, Functor f2) =>
(a -> b -> c) -> f2 (f1 (f0 b)) -> f2 (f1 (f0 (a -> c)))
(<~$$$>) a -> b -> c
f = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c
f forall (f0 :: * -> *) (f1 :: * -> *) a b c.
(Functor f0, Functor f1) =>
(a -> b -> c) -> f1 (f0 b) -> f1 (f0 (a -> c))
<~$$>)
infixr 8 <~$$$>
(<$$$~~>) :: (Functor f0, Functor f1, Functor f2) =>
f2 (f1 (f0 (a -> b -> c)))
-> b -> f2 (f1 (f0 (a -> c)))
<$$$~~> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) a b c.
(Functor f0, Functor f1, Functor f2) =>
f2 (f1 (f0 (a -> b -> c))) -> b -> f2 (f1 (f0 (a -> c)))
(<$$$~~>) f2 (f1 (f0 (a -> b -> c)))
f b
x = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (forall (f0 :: * -> *) (f1 :: * -> *) a b c.
(Functor f0, Functor f1) =>
f1 (f0 (a -> b -> c)) -> b -> f1 (f0 (a -> c))
<$$~~> b
x) f2 (f1 (f0 (a -> b -> c)))
f
infixl 8 <$$$~~>
(<~~$$$>) :: (Functor f0, Functor f1, Functor f2) =>
(a -> b -> c -> d)
-> f2 (f1 (f0 c))
-> f2 (f1 (f0 (a -> b -> d)))
<~~$$$> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) a b c d.
(Functor f0, Functor f1, Functor f2) =>
(a -> b -> c -> d) -> f2 (f1 (f0 c)) -> f2 (f1 (f0 (a -> b -> d)))
(<~~$$$>) a -> b -> c -> d
f = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c -> d
f forall (f0 :: * -> *) (f1 :: * -> *) a b c d.
(Functor f0, Functor f1) =>
(a -> b -> c -> d) -> f1 (f0 c) -> f1 (f0 (a -> b -> d))
<~~$$>)
infixr 8 <~~$$$>
(<$$$~~~>) :: (Functor f0, Functor f1, Functor f2) =>
f2 (f1 (f0 (a -> b -> c -> d)))
-> c -> f2 (f1 (f0 (a -> b -> d)))
<$$$~~~> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) a b c d.
(Functor f0, Functor f1, Functor f2) =>
f2 (f1 (f0 (a -> b -> c -> d))) -> c -> f2 (f1 (f0 (a -> b -> d)))
(<$$$~~~>) f2 (f1 (f0 (a -> b -> c -> d)))
f c
x = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (forall (f0 :: * -> *) (f1 :: * -> *) a b c d.
(Functor f0, Functor f1) =>
f1 (f0 (a -> b -> c -> d)) -> c -> f1 (f0 (a -> b -> d))
<$$~~~> c
x) f2 (f1 (f0 (a -> b -> c -> d)))
f
infixl 8 <$$$~~~>
(<~~~$$$>) :: (Functor f0, Functor f1, Functor f2) =>
(a -> b -> c -> d -> e)
-> f2 (f1 (f0 d))
-> f2 (f1 (f0 (a -> b -> c -> e)))
<~~~$$$> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) a b c d e.
(Functor f0, Functor f1, Functor f2) =>
(a -> b -> c -> d -> e)
-> f2 (f1 (f0 d)) -> f2 (f1 (f0 (a -> b -> c -> e)))
(<~~~$$$>) a -> b -> c -> d -> e
f = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c -> d -> e
f forall (f0 :: * -> *) (f1 :: * -> *) a b c d e.
(Functor f0, Functor f1) =>
(a -> b -> c -> d -> e) -> f1 (f0 d) -> f1 (f0 (a -> b -> c -> e))
<~~~$$>)
infixr 8 <~~~$$$>
(<$$$$~>) :: (Functor f0, Functor f1, Functor f2, Functor f3) =>
f3 (f2 (f1 (f0 (a -> b))))
-> a -> f3 (f2 (f1 (f0 b)))
<$$$$~> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
a b.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
f3 (f2 (f1 (f0 (a -> b)))) -> a -> f3 (f2 (f1 (f0 b)))
(<$$$$~>) f3 (f2 (f1 (f0 (a -> b))))
f a
x = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) a b.
(Functor f0, Functor f1, Functor f2) =>
f2 (f1 (f0 (a -> b))) -> a -> f2 (f1 (f0 b))
<$$$~> a
x) f3 (f2 (f1 (f0 (a -> b))))
f
infixl 8 <$$$$~>
(<~$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3) =>
(a -> b -> c)
-> f3 (f2 (f1 (f0 b)))
-> f3 (f2 (f1 (f0 (a -> c))))
<~$$$$> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
a b c.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
(a -> b -> c) -> f3 (f2 (f1 (f0 b))) -> f3 (f2 (f1 (f0 (a -> c))))
(<~$$$$>) a -> b -> c
f = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c
f forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) a b c.
(Functor f0, Functor f1, Functor f2) =>
(a -> b -> c) -> f2 (f1 (f0 b)) -> f2 (f1 (f0 (a -> c)))
<~$$$>)
infixr 8 <~$$$$>
(<$$$$~~>) :: (Functor f0, Functor f1, Functor f2, Functor f3) =>
f3 (f2 (f1 (f0 (a -> b -> c))))
-> b -> f3 (f2 (f1 (f0 (a -> c))))
<$$$$~~> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
a b c.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
f3 (f2 (f1 (f0 (a -> b -> c)))) -> b -> f3 (f2 (f1 (f0 (a -> c))))
(<$$$$~~>) f3 (f2 (f1 (f0 (a -> b -> c))))
f b
x = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) a b c.
(Functor f0, Functor f1, Functor f2) =>
f2 (f1 (f0 (a -> b -> c))) -> b -> f2 (f1 (f0 (a -> c)))
<$$$~~> b
x) f3 (f2 (f1 (f0 (a -> b -> c))))
f
infixl 8 <$$$$~~>
(<~~$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3) =>
(a -> b -> c -> d)
-> f3 (f2 (f1 (f0 c)))
-> f3 (f2 (f1 (f0 (a -> b -> d))))
<~~$$$$> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
a b c d.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
(a -> b -> c -> d)
-> f3 (f2 (f1 (f0 c))) -> f3 (f2 (f1 (f0 (a -> b -> d))))
(<~~$$$$>) a -> b -> c -> d
f = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c -> d
f forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) a b c d.
(Functor f0, Functor f1, Functor f2) =>
(a -> b -> c -> d) -> f2 (f1 (f0 c)) -> f2 (f1 (f0 (a -> b -> d)))
<~~$$$>)
infixr 8 <~~$$$$>
(<$$$$~~~>) :: (Functor f0, Functor f1, Functor f2, Functor f3) =>
f3 (f2 (f1 (f0 (a -> b -> c -> d))))
-> c -> f3 (f2 (f1 (f0 (a -> b -> d))))
<$$$$~~~> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
a b c d.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
f3 (f2 (f1 (f0 (a -> b -> c -> d))))
-> c -> f3 (f2 (f1 (f0 (a -> b -> d))))
(<$$$$~~~>) f3 (f2 (f1 (f0 (a -> b -> c -> d))))
f c
x = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) a b c d.
(Functor f0, Functor f1, Functor f2) =>
f2 (f1 (f0 (a -> b -> c -> d))) -> c -> f2 (f1 (f0 (a -> b -> d)))
<$$$~~~> c
x) f3 (f2 (f1 (f0 (a -> b -> c -> d))))
f
infixl 8 <$$$$~~~>
(<~~~$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3) =>
(a -> b -> c -> d -> e)
-> f3 (f2 (f1 (f0 d)))
-> f3 (f2 (f1 (f0 (a -> b -> c -> e))))
<~~~$$$$> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
a b c d e.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
(a -> b -> c -> d -> e)
-> f3 (f2 (f1 (f0 d))) -> f3 (f2 (f1 (f0 (a -> b -> c -> e))))
(<~~~$$$$>) a -> b -> c -> d -> e
f = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c -> d -> e
f forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) a b c d e.
(Functor f0, Functor f1, Functor f2) =>
(a -> b -> c -> d -> e)
-> f2 (f1 (f0 d)) -> f2 (f1 (f0 (a -> b -> c -> e)))
<~~~$$$>)
infixr 8 <~~~$$$$>
(<$$$$$~>) :: (Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
f4 (f3 (f2 (f1 (f0 (a -> b)))))
-> a -> f4 (f3 (f2 (f1 (f0 b))))
<$$$$$~> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
(f4 :: * -> *) a b.
(Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
f4 (f3 (f2 (f1 (f0 (a -> b))))) -> a -> f4 (f3 (f2 (f1 (f0 b))))
(<$$$$$~>) f4 (f3 (f2 (f1 (f0 (a -> b)))))
f a
x = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
a b.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
f3 (f2 (f1 (f0 (a -> b)))) -> a -> f3 (f2 (f1 (f0 b)))
<$$$$~> a
x) f4 (f3 (f2 (f1 (f0 (a -> b)))))
f
infixl 8 <$$$$$~>
(<~$$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
(a -> b -> c)
-> f4 (f3 (f2 (f1 (f0 b))))
-> f4 (f3 (f2 (f1 (f0 (a -> c)))))
<~$$$$$> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
(f4 :: * -> *) a b c.
(Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
(a -> b -> c)
-> f4 (f3 (f2 (f1 (f0 b)))) -> f4 (f3 (f2 (f1 (f0 (a -> c)))))
(<~$$$$$>) a -> b -> c
f = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c
f forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
a b c.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
(a -> b -> c) -> f3 (f2 (f1 (f0 b))) -> f3 (f2 (f1 (f0 (a -> c))))
<~$$$$>)
infixr 8 <~$$$$$>
(<$$$$$~~>) :: (Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
f4 (f3 (f2 (f1 (f0 (a -> b -> c)))))
-> b -> f4 (f3 (f2 (f1 (f0 (a -> c)))))
<$$$$$~~> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
(f4 :: * -> *) a b c.
(Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
f4 (f3 (f2 (f1 (f0 (a -> b -> c)))))
-> b -> f4 (f3 (f2 (f1 (f0 (a -> c)))))
(<$$$$$~~>) f4 (f3 (f2 (f1 (f0 (a -> b -> c)))))
f b
x = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
a b c.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
f3 (f2 (f1 (f0 (a -> b -> c)))) -> b -> f3 (f2 (f1 (f0 (a -> c))))
<$$$$~~> b
x) f4 (f3 (f2 (f1 (f0 (a -> b -> c)))))
f
infixl 8 <$$$$$~~>
(<~~$$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
(a -> b -> c -> d)
-> f4 (f3 (f2 (f1 (f0 c))))
-> f4 (f3 (f2 (f1 (f0 (a -> b -> d)))))
<~~$$$$$> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
(f4 :: * -> *) a b c d.
(Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
(a -> b -> c -> d)
-> f4 (f3 (f2 (f1 (f0 c)))) -> f4 (f3 (f2 (f1 (f0 (a -> b -> d)))))
(<~~$$$$$>) a -> b -> c -> d
f = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c -> d
f forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
a b c d.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
(a -> b -> c -> d)
-> f3 (f2 (f1 (f0 c))) -> f3 (f2 (f1 (f0 (a -> b -> d))))
<~~$$$$>)
infixr 8 <~~$$$$$>
(<$$$$$~~~>) :: (Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
f4 (f3 (f2 (f1 (f0 (a -> b -> c -> d)))))
-> c -> f4 (f3 (f2 (f1 (f0 (a -> b -> d)))))
<$$$$$~~~> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
(f4 :: * -> *) a b c d.
(Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
f4 (f3 (f2 (f1 (f0 (a -> b -> c -> d)))))
-> c -> f4 (f3 (f2 (f1 (f0 (a -> b -> d)))))
(<$$$$$~~~>) f4 (f3 (f2 (f1 (f0 (a -> b -> c -> d)))))
f c
x = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
a b c d.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
f3 (f2 (f1 (f0 (a -> b -> c -> d))))
-> c -> f3 (f2 (f1 (f0 (a -> b -> d))))
<$$$$~~~> c
x) f4 (f3 (f2 (f1 (f0 (a -> b -> c -> d)))))
f
infixl 8 <$$$$$~~~>
(<~~~$$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
(a -> b -> c -> d -> e)
-> f4 (f3 (f2 (f1 (f0 d))))
-> f4 (f3 (f2 (f1 (f0 (a -> b -> c -> e)))))
<~~~$$$$$> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
(f4 :: * -> *) a b c d e.
(Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
(a -> b -> c -> d -> e)
-> f4 (f3 (f2 (f1 (f0 d))))
-> f4 (f3 (f2 (f1 (f0 (a -> b -> c -> e)))))
(<~~~$$$$$>) a -> b -> c -> d -> e
f = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c -> d -> e
f forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
a b c d e.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
(a -> b -> c -> d -> e)
-> f3 (f2 (f1 (f0 d))) -> f3 (f2 (f1 (f0 (a -> b -> c -> e))))
<~~~$$$$>)
infixr 8 <~~~$$$$$>
(<.$>) :: Functor f0 =>
(b -> c)
-> f0 (a -> b)
-> f0 (a -> c)
b -> c
f <.$> :: forall (f0 :: * -> *) b c a.
Functor f0 =>
(b -> c) -> f0 (a -> b) -> f0 (a -> c)
<.$> f0 (a -> b)
g = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (b -> c
f forall b c a. (b -> c) -> (a -> b) -> a -> c
.) f0 (a -> b)
g
infixr 8 <.$>
(<.*$>) :: Functor f0 =>
(c -> d)
-> f0 (a -> b -> c)
-> f0 (a -> b -> d)
c -> d
f <.*$> :: forall (f0 :: * -> *) c d a b.
Functor f0 =>
(c -> d) -> f0 (a -> b -> c) -> f0 (a -> b -> d)
<.*$> f0 (a -> b -> c)
g = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (c -> d
f forall c d a b. (c -> d) -> (a -> b -> c) -> a -> b -> d
.*) f0 (a -> b -> c)
g
infixr 8 <.*$>
(<*.$>) :: Functor f0 =>
(a -> c -> d)
-> f0 (b -> c)
-> f0 (a -> b -> d)
a -> c -> d
f <*.$> :: forall (f0 :: * -> *) a c d b.
Functor f0 =>
(a -> c -> d) -> f0 (b -> c) -> f0 (a -> b -> d)
<*.$> f0 (b -> c)
g = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> c -> d
f forall a c d b. (a -> c -> d) -> (b -> c) -> a -> b -> d
*.) f0 (b -> c)
g
infixr 8 <*.$>
(<.**$>) :: Functor f0 =>
(d -> e)
-> f0 (a -> b -> c -> d)
-> f0 (a -> b -> c -> e)
d -> e
f <.**$> :: forall (f0 :: * -> *) d e a b c.
Functor f0 =>
(d -> e) -> f0 (a -> b -> c -> d) -> f0 (a -> b -> c -> e)
<.**$> f0 (a -> b -> c -> d)
g = forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (d -> e
f forall d e a b c.
(d -> e) -> (a -> b -> c -> d) -> a -> b -> c -> e
.**) f0 (a -> b -> c -> d)
g
infixr 8 <.**$>
(<.$$>) :: (Functor f0, Functor f1) =>
(b -> c)
-> f1 (f0 (a -> b))
-> f1 (f0 (a -> c))
b -> c
f <.$$> :: forall (f0 :: * -> *) (f1 :: * -> *) b c a.
(Functor f0, Functor f1) =>
(b -> c) -> f1 (f0 (a -> b)) -> f1 (f0 (a -> c))
<.$$> f1 (f0 (a -> b))
g = (b -> c
f forall b c a. (b -> c) -> (a -> b) -> a -> c
.) forall (f0 :: * -> *) (f1 :: * -> *) a b.
(Functor f0, Functor f1) =>
(a -> b) -> f1 (f0 a) -> f1 (f0 b)
<$$> f1 (f0 (a -> b))
g
infixr 8 <.$$>
(<.*$$>) :: (Functor f0, Functor f1) =>
(c -> d)
-> f1 (f0 (a -> b -> c))
-> f1 (f0 (a -> b -> d))
c -> d
f <.*$$> :: forall (f0 :: * -> *) (f1 :: * -> *) c d a b.
(Functor f0, Functor f1) =>
(c -> d) -> f1 (f0 (a -> b -> c)) -> f1 (f0 (a -> b -> d))
<.*$$> f1 (f0 (a -> b -> c))
g = (c -> d
f forall c d a b. (c -> d) -> (a -> b -> c) -> a -> b -> d
.*) forall (f0 :: * -> *) (f1 :: * -> *) a b.
(Functor f0, Functor f1) =>
(a -> b) -> f1 (f0 a) -> f1 (f0 b)
<$$> f1 (f0 (a -> b -> c))
g
infixr 8 <.*$$>
(<.**$$>) :: (Functor f0, Functor f1) =>
(d -> e)
-> f1 (f0 (a -> b -> c -> d))
-> f1 (f0 (a -> b -> c -> e))
d -> e
f <.**$$> :: forall (f0 :: * -> *) (f1 :: * -> *) d e a b c.
(Functor f0, Functor f1) =>
(d -> e)
-> f1 (f0 (a -> b -> c -> d)) -> f1 (f0 (a -> b -> c -> e))
<.**$$> f1 (f0 (a -> b -> c -> d))
g = (d -> e
f forall d e a b c.
(d -> e) -> (a -> b -> c -> d) -> a -> b -> c -> e
.**) forall (f0 :: * -> *) (f1 :: * -> *) a b.
(Functor f0, Functor f1) =>
(a -> b) -> f1 (f0 a) -> f1 (f0 b)
<$$> f1 (f0 (a -> b -> c -> d))
g
infixr 8 <.**$$>
(<.$$$>) :: (Functor f0, Functor f1, Functor f2) =>
(b -> c)
-> f2 (f1 (f0 (a -> b)))
-> f2 (f1 (f0 (a -> c)))
b -> c
f <.$$$> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) b c a.
(Functor f0, Functor f1, Functor f2) =>
(b -> c) -> f2 (f1 (f0 (a -> b))) -> f2 (f1 (f0 (a -> c)))
<.$$$> f2 (f1 (f0 (a -> b)))
g = (b -> c
f forall b c a. (b -> c) -> (a -> b) -> a -> c
.) forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) a b.
(Functor f0, Functor f1, Functor f2) =>
(a -> b) -> f2 (f1 (f0 a)) -> f2 (f1 (f0 b))
<$$$> f2 (f1 (f0 (a -> b)))
g
infixr 8 <.$$$>
(<.*$$$>) :: (Functor f0, Functor f1, Functor f2) =>
(c -> d)
-> f2 (f1 (f0 (a -> b -> c)))
-> f2 (f1 (f0 (a -> b -> d)))
c -> d
f <.*$$$> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) c d a b.
(Functor f0, Functor f1, Functor f2) =>
(c -> d)
-> f2 (f1 (f0 (a -> b -> c))) -> f2 (f1 (f0 (a -> b -> d)))
<.*$$$> f2 (f1 (f0 (a -> b -> c)))
g = (c -> d
f forall c d a b. (c -> d) -> (a -> b -> c) -> a -> b -> d
.*) forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) a b.
(Functor f0, Functor f1, Functor f2) =>
(a -> b) -> f2 (f1 (f0 a)) -> f2 (f1 (f0 b))
<$$$> f2 (f1 (f0 (a -> b -> c)))
g
infixr 8 <.*$$$>
(<.**$$$>) :: (Functor f0, Functor f1, Functor f2) =>
(d -> e)
-> f2 (f1 (f0 (a -> b -> c -> d)))
-> f2 (f1 (f0 (a -> b -> c -> e)))
d -> e
f <.**$$$> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) d e a b c.
(Functor f0, Functor f1, Functor f2) =>
(d -> e)
-> f2 (f1 (f0 (a -> b -> c -> d)))
-> f2 (f1 (f0 (a -> b -> c -> e)))
<.**$$$> f2 (f1 (f0 (a -> b -> c -> d)))
g = (d -> e
f forall d e a b c.
(d -> e) -> (a -> b -> c -> d) -> a -> b -> c -> e
.**) forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) a b.
(Functor f0, Functor f1, Functor f2) =>
(a -> b) -> f2 (f1 (f0 a)) -> f2 (f1 (f0 b))
<$$$> f2 (f1 (f0 (a -> b -> c -> d)))
g
infixr 8 <.**$$$>
(<.$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3) =>
(b -> c)
-> f3 (f2 (f1 (f0 (a -> b))))
-> f3 (f2 (f1 (f0 (a -> c))))
b -> c
f <.$$$$> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
b c a.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
(b -> c)
-> f3 (f2 (f1 (f0 (a -> b)))) -> f3 (f2 (f1 (f0 (a -> c))))
<.$$$$> f3 (f2 (f1 (f0 (a -> b))))
g = (b -> c
f forall b c a. (b -> c) -> (a -> b) -> a -> c
.) forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
a b.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
(a -> b) -> f3 (f2 (f1 (f0 a))) -> f3 (f2 (f1 (f0 b)))
<$$$$> f3 (f2 (f1 (f0 (a -> b))))
g
infixr 8 <.$$$$>
(<.*$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3) =>
(c -> d)
-> f3 (f2 (f1 (f0 (a -> b -> c))))
-> f3 (f2 (f1 (f0 (a -> b -> d))))
c -> d
f <.*$$$$> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
c d a b.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
(c -> d)
-> f3 (f2 (f1 (f0 (a -> b -> c))))
-> f3 (f2 (f1 (f0 (a -> b -> d))))
<.*$$$$> f3 (f2 (f1 (f0 (a -> b -> c))))
g = (c -> d
f forall c d a b. (c -> d) -> (a -> b -> c) -> a -> b -> d
.*) forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
a b.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
(a -> b) -> f3 (f2 (f1 (f0 a))) -> f3 (f2 (f1 (f0 b)))
<$$$$> f3 (f2 (f1 (f0 (a -> b -> c))))
g
infixr 8 <.*$$$$>
(<.**$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3) =>
(d -> e)
-> f3 (f2 (f1 (f0 (a -> b -> c -> d))))
-> f3 (f2 (f1 (f0 (a -> b -> c -> e))))
d -> e
f <.**$$$$> :: forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
d e a b c.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
(d -> e)
-> f3 (f2 (f1 (f0 (a -> b -> c -> d))))
-> f3 (f2 (f1 (f0 (a -> b -> c -> e))))
<.**$$$$> f3 (f2 (f1 (f0 (a -> b -> c -> d))))
g = (d -> e
f forall d e a b c.
(d -> e) -> (a -> b -> c -> d) -> a -> b -> c -> e
.**) forall (f0 :: * -> *) (f1 :: * -> *) (f2 :: * -> *) (f3 :: * -> *)
a b.
(Functor f0, Functor f1, Functor f2, Functor f3) =>
(a -> b) -> f3 (f2 (f1 (f0 a))) -> f3 (f2 (f1 (f0 b)))
<$$$$> f3 (f2 (f1 (f0 (a -> b -> c -> d))))
g
infixr 8 <.**$$$$>