deepcontrol-0.4.3.0: Provide more deeper level style of programming than the usual Control.xxx modules express

Copyright(c) 2015 KONISHI Yohsuke
LicenseBSD-style (see the LICENSE file in the distribution)
Maintainerocean0yohsuke@gmail.com
Stabilityexperimental
Portabilityportable
Safe HaskellSafe
LanguageHaskell2010

DeepControl.Applicative

Contents

Description

This module enables you to program in applicative style for more deeper level than the usual Applicative module expresses. You would soon realize exactly what more deeper level means by reading the example codes in order, which are attached on the functions below.

Synopsis

Documentation

Level-0

bra-ket notation

(|>) :: (a -> b) -> a -> b infixl 4 Source

Alias to $.

>>> (1+) |> 2
3

(<|) :: a -> (a -> b) -> b infixl 4 Source

The auguments-flipped function for |>.

>>> 1 <| (+2)
3 
>>> 1 <|(+)|> 2
3 
>>> 1 <|(+)|> 2 <|(*)|> 3
9
>>> 1 <|(,)|> 2
(1,2)

Level-1

cover notation

(*:) :: Applicative f => a -> f a infixl 6 Source

Alias to pure.

bra-ket notation

(|$>) :: Functor f => (a -> b) -> f a -> f b infixl 4 Source

Alias to <$>.

>>> (1+) |$> [2]
[3]

(<$|) :: Functor f => f a -> (a -> b) -> f b infixl 3 Source

The auguments-flipped function for |$>.

>>> [1] <$| (+2)
[3]
>>> ("<"++)|$> ["a","b"] <$|(++">")
["<a>","<b>"]

(|*>) :: Applicative f => f (a -> b) -> f a -> f b infixl 3 Source

Alias to <*>.

>>> [(1+)] |*> [2]
[3]
>>> [1] <$|(+)|*> [2]
[3]
>>> [1] <$|(+)|*> [0,1,2]
[1,2,3]
>>> [0,1] <$|(+)|*> [2,3] <$|(^)|*> [4,5]
[16,32,81,243,81,243,256,1024]
>>> foldr (\x acc -> x <$|(:)|*> acc) ((*:) []) [Just 1, Just 2,  Just 3]
Just [1,2,3]
>>> foldr (\x acc -> x <$|(:)|*> acc) ((*:) []) [Just 1, Nothing, Just 3]
Nothing
>>> filter (even <$|(&&)|*> (10 >)) [1..100]
[2,4,6,8]
>>> filter (even <$|(&&)|*> (10 >) <$|(&&)|*> (5 <)) [1..100]
[6,8]

(<*|) :: Applicative f => f a -> f (a -> b) -> f b infixl 3 Source

The auguments-flipped function for |*>.

cover-bracket notation

(|*) :: Applicative f => f (a -> b) -> a -> f b infixl 3 Source

Definition: f |* x = f |*> (*:) x

>>> [(1+)] |* 2
[3]
>>> [1] <$|(+)|* 2
[3]
>>> (,) |$> ["a1","a2"] |* 'b'
[("a1",'b'),("a2",'b')]
>>> (,,) 'a' |$> ["b1","b2"] |* 'c'
[('a',"b1",'c'),('a',"b2",'c')]
>>> (,,,) 'a' |$> ["b1","b2"] |* 'c' |* 'd'
[('a',"b1",'c','d'),('a',"b2",'c','d')]
>>> (,,,) 'a' |$> ["b1","b2"] |* 'c' |*> ["d1","d2"]
[('a',"b1",'c',"d1"),('a',"b1",'c',"d2"),('a',"b2",'c',"d1"),('a',"b2",'c',"d2")]

(*|) :: Applicative f => a -> f (a -> b) -> f b infixl 3 Source

The auguments-flipped function for |*.

>>> 1 *| [(+2)]
[3]
>>> 1 *| [(+)] |* 2
[3]
>>> 1 *|[(+),(-),(*),(^)]|* 2
[3,-1,2,1]
>>> 1 *|Just (,)|* 2
Just (1,2)

Level-2

cover notation

(**:) :: (Applicative f1, Applicative f2) => a -> f1 (f2 a) infixl 6 Source

Definition: (**:) = (*:) . (*:)

>>> (**:) 1 :: Maybe [Int]
Just [1]

(-*) :: (Applicative f1, Applicative f2) => f1 a -> f1 (f2 a) infixl 6 Source

Definition: (-*) = ((*:)|$>)

>>> (-*) (Just 1) :: Maybe [Int]
Just [1]

bra-ket notation

(|$>>) :: (Functor f1, Functor f2) => (a -> b) -> f1 (f2 a) -> f1 (f2 b) infixl 4 Source

Definition: (|$>>) = (|$>) . (|$>)

>>> (+1) |$>> [[2]]
[[3]]

(<<$|) :: (Functor f1, Functor f2) => f1 (f2 a) -> (a -> b) -> f1 (f2 b) infixl 3 Source

The auguments-flipped function for |$>>

>>> [[2]] <<$| (+1)
[[3]]

(|*>>) :: (Applicative f1, Applicative f2) => f1 (f2 (a -> b)) -> f1 (f2 a) -> f1 (f2 b) infixl 3 Source

Definition: (|*>>) = liftA2 (|*>)

>>> [Just 1] <<$|(+)|*>> [Just 2]
[Just 3]
>>> [Just 1] <<$|(,)|*>> [Just 2]
[Just (1,2)]
>>> [[1]] <<$|(+)|*>> [[2]] <<$|(-)|*>> [[3]]
[[0]]
>>> foldr (\n acc -> n <<$|(+)|*>> acc) ((**:) 0) [Right (Just 1), Right (Just 2), Right (Just 3)] :: Either () (Maybe Int)
Right (Just 6)
>>> foldr (\n acc -> n <<$|(+)|*>> acc) ((**:) 0) [Right (Just 1), Right Nothing, Right (Just 3)] :: Either () (Maybe Int)
Right Nothing
>>> foldr (\n acc -> n <<$|(+)|*>> acc) ((**:) 0) [Right (Just 1), Right Nothing, Left ()]
Left ()

(<<*|) :: (Applicative f1, Applicative f2) => f1 (f2 a) -> f1 (f2 (a -> b)) -> f1 (f2 b) infixl 3 Source

Definition: (<<*|) = liftA2 (<*|)

cover-bracket notation

(|**) :: (Applicative f1, Applicative f2) => f1 (f2 (a -> b)) -> a -> f1 (f2 b) infixl 3 Source

Definition: f |** x = f |*>> (**:) x

>>> [Just 1] <<$|(+)|** 2
[Just 3]

(**|) :: (Applicative f1, Applicative f2) => a -> f1 (f2 (a -> b)) -> f1 (f2 b) infixl 3 Source

Definition: x **| f = (**:) x <<*| f

>>> 1 **|(+)|$>> [Just 2]
[Just 3]
>>> 1 **|[Just (+)]|**  2
[Just 3]
>>> 1 **|[Just (+), Just (-), Just (*), Nothing]|** 2
[Just 3,Just (-1),Just 2,Nothing]

(|-*) :: (Applicative f1, Applicative f2) => f1 (f2 (a -> b)) -> f1 a -> f1 (f2 b) infixl 3 Source

Definition: f |-* x = f |*>> (-*) x

>>> [Just 1] <<$|(+)|-* [2]
[Just 3]

(|*-) :: (Applicative f1, Applicative f2) => f1 (f2 (a -> b)) -> f2 a -> f1 (f2 b) infixl 3 Source

Definition: f |*- x = f |*>> (*:) x

>>> [Just 1] <<$|(+)|*- Just 2
[Just 3]

(-*|) :: (Applicative f1, Applicative f2) => f1 a -> f1 (f2 (a -> b)) -> f1 (f2 b) infixl 3 Source

Definition: x -*| f = (-*) x <<*| f

>>> [1] -*|(+)|$>> [Just 2]
[Just 3]

(*-|) :: (Applicative f1, Applicative f2) => f2 a -> f1 (f2 (a -> b)) -> f1 (f2 b) infixl 3 Source

Definition: x *-| f = (*:) x <<*| f

>>> Just 1 *-|(+)|$>> [Just 2]
[Just 3]
>>> Just 1 *-|[Just (+)]|** 2
[Just 3]
>>> Just 1 *-|[Just (+)]|*- Just 2
[Just 3]
>>> [1] -*|[Just (+)]|*- Just 2
[Just 3]
>>> [1] -*|[Just (+), Just (-), Just (*), Nothing]|*- Just 2
[Just 3,Just (-1),Just 2,Nothing]
>>> [1,2] -*|[Just (+), Just (-), Just (*), Nothing]|*- Just 2
[Just 3,Just (-1),Just 2,Nothing,Just 4,Just 0,Just 4,Nothing]
>>> print 1 -*|return [\_ _ -> 3]|-* print 2
1
2
[3]

sequence notation

(*>>) :: (Applicative f1, Applicative f2) => f1 (f2 a) -> f1 (f2 b) -> f1 (f2 b) infixl 5 Source

Definition: (*>>) = liftA2 (*>)

>>> sequence $ Just (print 1) *>> (**:) 2
1
Just 2
>>> (-*) (print 1) *>> return (Just 2)
1
Just 2

(<<*) :: (Applicative f1, Applicative f2) => f1 (f2 a) -> f1 (f2 b) -> f1 (f2 a) infixl 5 Source

Definition: (<<*) = liftA2 (<*)

>>> sequence $ (**:) 2 <<* Just (print 1)
1
Just 2
>>> sequence $ Just (print 1) *>> (**:) 3 <<* Just (print 2)
1
2
Just 3
>>> sequence $ [putStr "1", putStr "2"] *>> (**:) 0 <<* [putStr "3", putStr "4"]
13142324[0,0,0,0]

cover-sequence notation

(-*>) :: (Applicative f1, Applicative f2) => f1 a -> f1 (f2 b) -> f1 (f2 b) infixl 5 Source

Definition: a -*> x = (-*) a *>> x

>>> print 1 -*> (*:) (Just 2)
1
Just 2

(<-*) :: (Applicative f1, Applicative f2) => f1 (f2 b) -> f1 a -> f1 (f2 b) infixl 5 Source

Definition: x <-* a = x <<* (-*) a

>>> (*:) (Just 2) <-* print 1
1
Just 2
>>> print 1 -*> (*:) (Just 3) <-* print 2
1
2
Just 3
>>> print 1 -*> (*:) (Just 3) <*- Nothing
1
Nothing

(*->) :: (Applicative f1, Applicative f2) => f2 a -> f1 (f2 b) -> f1 (f2 b) infixl 5 Source

Definition: a *-> x = (*:) a *>> x

>>> sequence $ print 1 *-> Just ((*:) 2)
1
Just 2

(<*-) :: (Applicative f1, Applicative f2) => f1 (f2 b) -> f2 a -> f1 (f2 b) infixl 5 Source

Definition: x <*- a = x <<* (*:) a

>>> sequence $ Just ((*:) 2) <*- print 1
1
Just 2
>>> sequence $ print 1 *-> Just ((*:) 3) <*- print 2
1
2
Just 3
>>> sequence $ print 1 *-> Just ((*:) 3) <-* Nothing
Nothing

Level-3

cover notation

(***:) :: (Applicative f1, Applicative f2, Applicative f3) => a -> f1 (f2 (f3 a)) infixl 6 Source

(*-*) :: (Applicative f1, Applicative f2, Applicative f3) => f2 a -> f1 (f2 (f3 a)) infixl 6 Source

(-**) :: (Applicative f1, Applicative f2, Applicative f3) => f1 a -> f1 (f2 (f3 a)) infixl 6 Source

(--*) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 a) -> f1 (f2 (f3 a)) infixl 6 Source

bra-ket notation

(|$>>>) :: (Functor f1, Functor f2, Functor f3) => (a -> b) -> f1 (f2 (f3 a)) -> f1 (f2 (f3 b)) infixl 4 Source

(<<<$|) :: (Functor f1, Functor f2, Functor f3) => f1 (f2 (f3 a)) -> (a -> b) -> f1 (f2 (f3 b)) infixl 3 Source

(|*>>>) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 (f3 (a -> b))) -> f1 (f2 (f3 a)) -> f1 (f2 (f3 b)) infixl 3 Source

(<<<*|) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 (f3 a)) -> f1 (f2 (f3 (a -> b))) -> f1 (f2 (f3 b)) infixl 3 Source

cover-bracket notation

(|***) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 (f3 (a -> b))) -> a -> f1 (f2 (f3 b)) infixl 3 Source

(|-**) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 (f3 (a -> b))) -> f1 a -> f1 (f2 (f3 b)) infixl 3 Source

(|*-*) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 (f3 (a -> b))) -> f2 a -> f1 (f2 (f3 b)) infixl 3 Source

(|**-) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 (f3 (a -> b))) -> f3 a -> f1 (f2 (f3 b)) infixl 3 Source

(|--*) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 (f3 (a -> b))) -> f1 (f2 a) -> f1 (f2 (f3 b)) infixl 3 Source

(|-*-) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 (f3 (a -> b))) -> f1 (f3 a) -> f1 (f2 (f3 b)) infixl 3 Source

(|*--) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 (f3 (a -> b))) -> f2 (f3 a) -> f1 (f2 (f3 b)) infixl 3 Source

(***|) :: (Applicative f1, Applicative f2, Applicative f3) => a -> f1 (f2 (f3 (a -> b))) -> f1 (f2 (f3 b)) infixl 3 Source

(-**|) :: (Applicative f1, Applicative f2, Applicative f3) => f1 a -> f1 (f2 (f3 (a -> b))) -> f1 (f2 (f3 b)) infixl 3 Source

(*-*|) :: (Applicative f1, Applicative f2, Applicative f3) => f2 a -> f1 (f2 (f3 (a -> b))) -> f1 (f2 (f3 b)) infixl 3 Source

(**-|) :: (Applicative f1, Applicative f2, Applicative f3) => f3 a -> f1 (f2 (f3 (a -> b))) -> f1 (f2 (f3 b)) infixl 3 Source

(--*|) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 a) -> f1 (f2 (f3 (a -> b))) -> f1 (f2 (f3 b)) infixl 3 Source

(-*-|) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f3 a) -> f1 (f2 (f3 (a -> b))) -> f1 (f2 (f3 b)) infixl 3 Source

(*--|) :: (Applicative f1, Applicative f2, Applicative f3) => f2 (f3 a) -> f1 (f2 (f3 (a -> b))) -> f1 (f2 (f3 b)) infixl 3 Source

sequence notation

(*>>>) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 (f3 a)) -> f1 (f2 (f3 b)) -> f1 (f2 (f3 b)) infixl 5 Source

(<<<*) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 (f3 a)) -> f1 (f2 (f3 b)) -> f1 (f2 (f3 a)) infixl 5 Source

cover-sequence notation

(*-->) :: (Applicative f1, Applicative f2, Applicative f3) => f2 (f3 a) -> f1 (f2 (f3 b)) -> f1 (f2 (f3 b)) infixl 5 Source

(-*->) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f3 a) -> f1 (f2 (f3 b)) -> f1 (f2 (f3 b)) infixl 5 Source

(--*>) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 a) -> f1 (f2 (f3 b)) -> f1 (f2 (f3 b)) infixl 5 Source

(**->) :: (Applicative f1, Applicative f2, Applicative f3) => f3 a -> f1 (f2 (f3 b)) -> f1 (f2 (f3 b)) infixl 5 Source

(*-*>) :: (Applicative f1, Applicative f2, Applicative f3) => f2 a -> f1 (f2 (f3 b)) -> f1 (f2 (f3 b)) infixl 5 Source

(-**>) :: (Applicative f1, Applicative f2, Applicative f3) => f1 a -> f1 (f2 (f3 b)) -> f1 (f2 (f3 b)) infixl 5 Source

(<*--) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 (f3 b)) -> f2 (f3 a) -> f1 (f2 (f3 b)) infixl 5 Source

(<-*-) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 (f3 b)) -> f1 (f3 a) -> f1 (f2 (f3 b)) infixl 5 Source

(<--*) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 (f3 b)) -> f1 (f2 a) -> f1 (f2 (f3 b)) infixl 5 Source

(<**-) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 (f3 b)) -> f3 a -> f1 (f2 (f3 b)) infixl 5 Source

(<*-*) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 (f3 b)) -> f2 a -> f1 (f2 (f3 b)) infixl 5 Source

(<-**) :: (Applicative f1, Applicative f2, Applicative f3) => f1 (f2 (f3 b)) -> f1 a -> f1 (f2 (f3 b)) infixl 5 Source

Level-4

cover notation

(****:) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => a -> f1 (f2 (f3 (f4 a))) infixl 6 Source

(---*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 a)) -> f1 (f2 (f3 (f4 a))) infixl 6 Source

(--**) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 a) -> f1 (f2 (f3 (f4 a))) infixl 6 Source

(-*-*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f3 a) -> f1 (f2 (f3 (f4 a))) infixl 6 Source

(*--*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f2 (f3 a) -> f1 (f2 (f3 (f4 a))) infixl 6 Source

(-***) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 a -> f1 (f2 (f3 (f4 a))) infixl 6 Source

(*-**) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f2 a -> f1 (f2 (f3 (f4 a))) infixl 6 Source

(**-*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f3 a -> f1 (f2 (f3 (f4 a))) infixl 6 Source

bra-ket notation

(|$>>>>) :: (Functor f1, Functor f2, Functor f3, Functor f4) => (a -> b) -> f1 (f2 (f3 (f4 a))) -> f1 (f2 (f3 (f4 b))) infixl 4 Source

(<<<<$|) :: (Functor f1, Functor f2, Functor f3, Functor f4) => f1 (f2 (f3 (f4 a))) -> (a -> b) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(|*>>>>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 (f3 (f4 a))) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(<<<<*|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 a))) -> f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

cover-bracket notation

(|****) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 (a -> b)))) -> a -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(|-***) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 (a -> b)))) -> f1 a -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(|*-**) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 (a -> b)))) -> f2 a -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(|**-*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 (a -> b)))) -> f3 a -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(|***-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 (a -> b)))) -> f4 a -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(|--**) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 a) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(|-*-*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f3 a) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(|*--*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 (a -> b)))) -> f2 (f3 a) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(|*-*-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 (a -> b)))) -> f2 (f4 a) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(|-**-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f4 a) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(|**--) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 (a -> b)))) -> f3 (f4 a) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(|---*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 (f3 a)) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(|--*-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 (f4 a)) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(|-*--) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f3 (f4 a)) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(|*---) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 (a -> b)))) -> f2 (f3 (f4 a)) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(****|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => a -> f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(-***|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 a -> f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(*-**|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f2 a -> f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(**-*|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f3 a -> f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(***-|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f4 a -> f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(--**|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 a) -> f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(-*-*|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f3 a) -> f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(*--*|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f2 (f3 a) -> f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(*-*-|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f2 (f4 a) -> f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(-**-|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f4 a) -> f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(**--|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f3 (f4 a) -> f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(---*|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 a)) -> f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(--*-|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f4 a)) -> f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(-*--|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f3 (f4 a)) -> f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

(*---|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f2 (f3 (f4 a)) -> f1 (f2 (f3 (f4 (a -> b)))) -> f1 (f2 (f3 (f4 b))) infixl 3 Source

sequence notation

(*>>>>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 a))) -> f1 (f2 (f3 (f4 b))) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(<<<<*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 a))) -> f1 (f2 (f3 (f4 b))) -> f1 (f2 (f3 (f4 a))) infixl 5 Source

cover-sequence notation

(<---*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 b))) -> f1 (f2 (f3 a)) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(<--*-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 b))) -> f1 (f2 (f4 a)) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(<-*--) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 b))) -> f1 (f3 (f4 a)) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(<*---) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 b))) -> f2 (f3 (f4 a)) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(<--**) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 b))) -> f1 (f2 a) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(<-*-*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 b))) -> f1 (f3 a) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(<*--*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 b))) -> f2 (f3 a) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(<*-*-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 b))) -> f2 (f4 a) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(<-**-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 b))) -> f1 (f4 a) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(<**--) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 b))) -> f3 (f4 a) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(<-***) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 b))) -> f1 a -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(<*-**) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 b))) -> f2 a -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(<**-*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 b))) -> f3 a -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(<***-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 (f4 b))) -> f4 a -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(---*>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f3 a)) -> f1 (f2 (f3 (f4 b))) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(--*->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 (f4 a)) -> f1 (f2 (f3 (f4 b))) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(-*-->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f3 (f4 a)) -> f1 (f2 (f3 (f4 b))) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(*--->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f2 (f3 (f4 a)) -> f1 (f2 (f3 (f4 b))) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(--**>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f2 a) -> f1 (f2 (f3 (f4 b))) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(-*-*>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f3 a) -> f1 (f2 (f3 (f4 b))) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(*--*>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f2 (f3 a) -> f1 (f2 (f3 (f4 b))) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(*-*->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f2 (f4 a) -> f1 (f2 (f3 (f4 b))) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(-**->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 (f4 a) -> f1 (f2 (f3 (f4 b))) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(**-->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f3 (f4 a) -> f1 (f2 (f3 (f4 b))) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(-***>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f1 a -> f1 (f2 (f3 (f4 b))) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(*-**>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f2 a -> f1 (f2 (f3 (f4 b))) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(**-*>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f3 a -> f1 (f2 (f3 (f4 b))) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

(***->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4) => f4 a -> f1 (f2 (f3 (f4 b))) -> f1 (f2 (f3 (f4 b))) infixl 5 Source

Level-5

cover notation

(*****:) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => a -> f1 (f2 (f3 (f4 (f5 a)))) infixl 6 Source

(----*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 a))) -> f1 (f2 (f3 (f4 (f5 a)))) infixl 6 Source

(---**) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 a)) -> f1 (f2 (f3 (f4 (f5 a)))) infixl 6 Source

(--*-*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f4 a)) -> f1 (f2 (f3 (f4 (f5 a)))) infixl 6 Source

(-*--*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f3 (f4 a)) -> f1 (f2 (f3 (f4 (f5 a)))) infixl 6 Source

(*---*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 (f3 (f4 a)) -> f1 (f2 (f3 (f4 (f5 a)))) infixl 6 Source

(--***) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 a) -> f1 (f2 (f3 (f4 (f5 a)))) infixl 6 Source

(-*-**) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f3 a) -> f1 (f2 (f3 (f4 (f5 a)))) infixl 6 Source

(*--**) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 (f3 a) -> f1 (f2 (f3 (f4 (f5 a)))) infixl 6 Source

(*-*-*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 (f4 a) -> f1 (f2 (f3 (f4 (f5 a)))) infixl 6 Source

(-**-*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f4 a) -> f1 (f2 (f3 (f4 (f5 a)))) infixl 6 Source

(**--*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f3 (f4 a) -> f1 (f2 (f3 (f4 (f5 a)))) infixl 6 Source

(-****) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 a -> f1 (f2 (f3 (f4 (f5 a)))) infixl 6 Source

(*-***) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 a -> f1 (f2 (f3 (f4 (f5 a)))) infixl 6 Source

(**-**) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f3 a -> f1 (f2 (f3 (f4 (f5 a)))) infixl 6 Source

(***-*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f4 a -> f1 (f2 (f3 (f4 (f5 a)))) infixl 6 Source

bra-ket notation

(|$>>>>>) :: (Functor f1, Functor f2, Functor f3, Functor f4, Functor f5) => (a -> b) -> f1 (f2 (f3 (f4 (f5 a)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 4 Source

(<<<<<$|) :: (Functor f1, Functor f2, Functor f3, Functor f4, Functor f5) => f1 (f2 (f3 (f4 (f5 a)))) -> (a -> b) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|*>>>>>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 a)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(<<<<<*|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 a)))) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

cover-bracket notation

(|-****) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 a -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|*-***) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f2 a -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|**-**) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f3 a -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|***-*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f4 a -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|****-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f5 a -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|--***) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|-*-**) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f3 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|*--**) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f2 (f3 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|*-*-*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f2 (f4 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|-**-*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f4 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|**--*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f3 (f4 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|**-*-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f3 (f5 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|*-**-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f2 (f5 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|-***-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f5 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|***--) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f4 (f5 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|---**) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|--*-*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f4 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|-*--*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f3 (f4 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|*---*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f2 (f3 (f4 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|*--*-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f2 (f3 (f5 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|-*-*-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f3 (f5 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|--**-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f5 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|-**--) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f4 (f5 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|*-*--) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f2 (f4 (f5 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|**---) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f3 (f4 (f5 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|----*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 a))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|---*-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f5 a))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|--*--) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f4 (f5 a))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|-*---) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f3 (f4 (f5 a))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(|*----) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f2 (f3 (f4 (f5 a))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(-****|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 a -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(*-***|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 a -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(**-**|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f3 a -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(***-*|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f4 a -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(****-|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f5 a -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(--***|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 a) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(-*-**|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f3 a) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(*--**|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 (f3 a) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(*-*-*|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 (f4 a) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(-**-*|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f4 a) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(**--*|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f3 (f4 a) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(**-*-|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f3 (f5 a) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(*-**-|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 (f5 a) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(-***-|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f5 a) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(***--|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f4 (f5 a) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(---**|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 a)) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(--*-*|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f4 a)) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(-*--*|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f3 (f4 a)) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(*---*|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 (f3 (f4 a)) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(*--*-|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 (f3 (f5 a)) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(-*-*-|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f3 (f5 a)) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(--**-|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f5 a)) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(-**--|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f4 (f5 a)) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(*-*--|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 (f4 (f5 a)) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(**---|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f3 (f4 (f5 a)) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(----*|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 a))) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(---*-|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f5 a))) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(--*--|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f4 (f5 a))) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(-*---|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f3 (f4 (f5 a))) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

(*----|) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 (f3 (f4 (f5 a))) -> f1 (f2 (f3 (f4 (f5 (a -> b))))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 3 Source

sequence notation

(*>>>>>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 a)))) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<<<<<*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 a)))) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 a)))) infixl 5 Source

cover-sequence notation

(<----*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 a))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<---*-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f5 a))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<--*--) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f4 (f5 a))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<-*---) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f3 (f4 (f5 a))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<*----) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f2 (f3 (f4 (f5 a))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<---**) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<--*-*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f4 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<-*--*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f3 (f4 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<*---*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f2 (f3 (f4 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<*--*-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f2 (f3 (f5 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<-*-*-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f3 (f5 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<--**-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f5 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<-**--) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f4 (f5 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<*-*--) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f2 (f4 (f5 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<**---) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f3 (f4 (f5 a)) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<--***) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<-*-**) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f3 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<*--**) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f2 (f3 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<*-*-*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f2 (f4 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<-**-*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f4 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<**--*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f3 (f4 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<**-*-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f3 (f5 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<*-**-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f2 (f5 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<-***-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f5 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<***--) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f4 (f5 a) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<-****) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f1 a -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<*-***) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f2 a -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<**-**) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f3 a -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<***-*) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f4 a -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(<****-) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 (f5 b)))) -> f5 a -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(----*>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f4 a))) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(---*->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 (f5 a))) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(--*-->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f4 (f5 a))) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(-*--->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f3 (f4 (f5 a))) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(*---->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 (f3 (f4 (f5 a))) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(---**>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f3 a)) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(--*-*>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f4 a)) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(-*--*>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f3 (f4 a)) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(*---*>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 (f3 (f4 a)) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(*--*->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 (f3 (f5 a)) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(-*-*->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f3 (f5 a)) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(--**->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 (f5 a)) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(-**-->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f4 (f5 a)) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(*-*-->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 (f4 (f5 a)) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(**--->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f3 (f4 (f5 a)) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(--***>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f2 a) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(-*-**>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f3 a) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(*--**>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 (f3 a) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(*-*-*>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 (f4 a) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(-**-*>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f4 a) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(**--*>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f3 (f4 a) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(**-*->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f3 (f5 a) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(*-**->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 (f5 a) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(-***->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 (f5 a) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(***-->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f4 (f5 a) -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(-****>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f1 a -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(*-***>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f2 a -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(**-**>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f3 a -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(***-*>) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f4 a -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source

(****->) :: (Applicative f1, Applicative f2, Applicative f3, Applicative f4, Applicative f5) => f5 a -> f1 (f2 (f3 (f4 (f5 b)))) -> f1 (f2 (f3 (f4 (f5 b)))) infixl 5 Source