singletons-2.0.1: A framework for generating singleton types

Copyright(C) 2013 Richard Eisenberg
LicenseBSD-style (see LICENSE)
MaintainerRichard Eisenberg (eir@cis.upenn.edu)
Stabilityexperimental
Portabilitynon-portable
Safe HaskellNone
LanguageHaskell2010

Data.Singletons.Prelude

Contents

Description

Mimics the Haskell Prelude, but with singleton types. Includes the basic singleton definitions. Note: This is currently very incomplete!

Because many of these definitions are produced by Template Haskell, it is not possible to create proper Haddock documentation. Also, please excuse the apparent repeated variable names. This is due to an interaction between Template Haskell and Haddock.

Synopsis

Basic singleton definitions

module Data.Singletons

data family Sing a Source

The singleton kind-indexed data family.

Instances

data Sing Bool where Source 
data Sing Ordering where Source 
data Sing * where Source 
data Sing Nat where Source 
data Sing Symbol where Source 
data Sing () where Source 
data Sing [a0] where Source 
data Sing (Maybe a0) where Source 
data Sing (TyFun k1 k2 -> *) = SLambda {} Source 
data Sing (Either a0 b0) where Source 
data Sing ((,) a0 b0) where Source 
data Sing ((,,) a0 b0 c0) where Source 
data Sing ((,,,) a0 b0 c0 d0) where Source 
data Sing ((,,,,) a0 b0 c0 d0 e0) where Source 
data Sing ((,,,,,) a0 b0 c0 d0 e0 f0) where Source 
data Sing ((,,,,,,) a0 b0 c0 d0 e0 f0 g0) where Source 

Singleton type synonyms

These synonyms are all kind-restricted synonyms of Sing. For example SBool requires an argument of kind Bool.

type SBool = (Sing :: Bool -> *) Source

type SList = (Sing :: [a] -> *) Source

type SMaybe = (Sing :: Maybe a -> *) Source

type SEither = (Sing :: Either a b -> *) Source

type SOrdering = (Sing :: Ordering -> *) Source

type STuple0 = (Sing :: () -> *) Source

type STuple2 = (Sing :: (a, b) -> *) Source

type STuple3 = (Sing :: (a, b, c) -> *) Source

type STuple4 = (Sing :: (a, b, c, d) -> *) Source

type STuple5 = (Sing :: (a, b, c, d, e) -> *) Source

type STuple6 = (Sing :: (a, b, c, d, e, f) -> *) Source

type STuple7 = (Sing :: (a, b, c, d, e, f, g) -> *) Source

Functions working with Bool

type family If cond tru fls :: k

Type-level If. If True a b ==> a; If False a b ==> b

Equations

If k True tru fls = tru 
If k False tru fls = fls 

sIf :: Sing a -> Sing b -> Sing c -> Sing (If a b c) Source

Conditional over singletons

type family Not a :: Bool Source

Equations

Not False = TrueSym0 
Not True = FalseSym0 

sNot :: forall t. Sing t -> Sing (Apply NotSym0 t :: Bool) Source

type family a :&& a :: Bool infixr 3 Source

Equations

False :&& _z_1627551223 = FalseSym0 
True :&& x = x 

type family a :|| a :: Bool infixr 2 Source

Equations

False :|| x = x 
True :|| _z_1627551211 = TrueSym0 

(%:&&) :: forall t t. Sing t -> Sing t -> Sing (Apply (Apply (:&&$) t) t :: Bool) infixr 3 Source

(%:||) :: forall t t. Sing t -> Sing t -> Sing (Apply (Apply (:||$) t) t :: Bool) infixr 2 Source

type family Otherwise :: Bool Source

Equations

Otherwise = TrueSym0 

sOtherwise :: Sing (OtherwiseSym0 :: Bool) Source

Error reporting

type family Error str :: k Source

The promotion of error. This version is more poly-kinded for easier use.

data ErrorSym0 l Source

Instances

SuppressUnusedWarnings (TyFun k k -> *) (ErrorSym0 k k) Source 
type Apply k k1 (ErrorSym0 k k1) l0 = ErrorSym1 k1 k l0 Source 

sError :: Sing (str :: Symbol) -> a Source

The singleton for error

Singleton equality

module Data.Singletons.Prelude.Eq

Singleton comparisons

module Data.Singletons.Prelude.Ord

Singleton Enum and Bounded

As a matter of convenience, the singletons Prelude does not export promoted/singletonized succ and pred, due to likely conflicts with unary numbers. Please import Enum directly if you want these.

module Data.Singletons.Prelude.Enum

Singletons numbers

module Data.Singletons.Prelude.Num

Miscellaneous functions

type family Id a :: a Source

Equations

Id x = x 

sId :: forall t. Sing t -> Sing (Apply IdSym0 t :: a) Source

type family Const a a :: a Source

Equations

Const x _z_1627631653 = x 

sConst :: forall t t. Sing t -> Sing t -> Sing (Apply (Apply ConstSym0 t) t :: a) Source

type family (a :. a) a :: c infixr 9 Source

Equations

(f :. g) a_1627631616 = Apply (Apply (Apply (Apply Lambda_1627631621Sym0 f) g) a_1627631616) a_1627631616 

(%:.) :: forall t t t. Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply (:.$) t) t) t :: c) infixr 9 Source

type family f $ x :: b infixr 0 Source

Instances

type ($) k k1 f x = (@@) k k1 f x Source 

(%$) :: forall f x. Sing f -> Sing x -> Sing ((($$) @@ f) @@ x) infixr 0 Source

type family f $! x :: b infixr 0 Source

Instances

type ($!) k k1 f x = (@@) k k1 f x Source 

(%$!) :: forall f x. Sing f -> Sing x -> Sing ((($!$) @@ f) @@ x) infixr 0 Source

type family Flip a a a :: c Source

Equations

Flip f x y = Apply (Apply f y) x 

sFlip :: forall t t t. Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FlipSym0 t) t) t :: c) Source

type family AsTypeOf a a :: a Source

Equations

AsTypeOf a_1627631656 a_1627631658 = Apply (Apply ConstSym0 a_1627631656) a_1627631658 

sAsTypeOf :: forall t t. Sing t -> Sing t -> Sing (Apply (Apply AsTypeOfSym0 t) t :: a) Source

type family Seq a a :: b infixr 0 Source

Equations

Seq _z_1627631579 x = x 

sSeq :: forall t t. Sing t -> Sing t -> Sing (Apply (Apply SeqSym0 t) t :: b) infixr 0 Source

List operations

type family Map a a :: [b] Source

Equations

Map _z_1627631698 `[]` = `[]` 
Map f ((:) x xs) = Apply (Apply (:$) (Apply f x)) (Apply (Apply MapSym0 f) xs) 

sMap :: forall t t. Sing t -> Sing t -> Sing (Apply (Apply MapSym0 t) t :: [b]) Source

type family a :++ a :: [a] infixr 5 Source

Equations

`[]` :++ ys = ys 
((:) x xs) :++ ys = Apply (Apply (:$) x) (Apply (Apply (:++$) xs) ys) 

(%:++) :: forall t t. Sing t -> Sing t -> Sing (Apply (Apply (:++$) t) t :: [a]) infixr 5 Source

type family Head a :: a Source

Equations

Head ((:) a _z_1627752635) = a 
Head `[]` = Apply ErrorSym0 "Data.Singletons.List.head: empty list" 

sHead :: forall t. Sing t -> Sing (Apply HeadSym0 t :: a) Source

type family Last a :: a Source

Equations

Last `[]` = Apply ErrorSym0 "Data.Singletons.List.last: empty list" 
Last `[x]` = x 
Last ((:) _z_1627752625 ((:) x xs)) = Apply LastSym0 (Apply (Apply (:$) x) xs) 

sLast :: forall t. Sing t -> Sing (Apply LastSym0 t :: a) Source

type family Tail a :: [a] Source

Equations

Tail ((:) _z_1627752616 t) = t 
Tail `[]` = Apply ErrorSym0 "Data.Singletons.List.tail: empty list" 

sTail :: forall t. Sing t -> Sing (Apply TailSym0 t :: [a]) Source

type family Init a :: [a] Source

Equations

Init `[]` = Apply ErrorSym0 "Data.Singletons.List.init: empty list" 
Init ((:) x xs) = Apply (Apply (Let1627752585Init'Sym2 x xs) x) xs 

sInit :: forall t. Sing t -> Sing (Apply InitSym0 t :: [a]) Source

type family Null a :: Bool Source

Equations

Null `[]` = TrueSym0 
Null ((:) _z_1627752514 _z_1627752517) = FalseSym0 

sNull :: forall t. Sing t -> Sing (Apply NullSym0 t :: Bool) Source

type family Reverse a :: [a] Source

Equations

Reverse l = Apply (Apply (Let1627752480RevSym1 l) l) `[]` 

sReverse :: forall t. Sing t -> Sing (Apply ReverseSym0 t :: [a]) Source

Reducing lists (folds)

type family Foldl a a a :: b Source

Equations

Foldl f z0 xs0 = Apply (Apply (Let1627532338LgoSym3 f z0 xs0) z0) xs0 

sFoldl :: forall t t t. Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t :: b) Source

type family Foldl1 a a :: a Source

Equations

Foldl1 f ((:) x xs) = Apply (Apply (Apply FoldlSym0 f) x) xs 
Foldl1 _z_1627751724 `[]` = Apply ErrorSym0 "Data.Singletons.List.foldl1: empty list" 

sFoldl1 :: forall t t. Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t :: a) Source

type family Foldr a a a :: b Source

Equations

Foldr k z a_1627631719 = Apply (Let1627631724GoSym3 k z a_1627631719) a_1627631719 

sFoldr :: forall t t t. Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t :: b) Source

type family Foldr1 a a :: a Source

Equations

Foldr1 _z_1627751682 `[x]` = x 
Foldr1 f ((:) x ((:) wild_1627749139 wild_1627749141)) = Apply (Apply f x) (Apply (Apply Foldr1Sym0 f) (Let1627751690XsSym4 f x wild_1627749139 wild_1627749141)) 
Foldr1 _z_1627751709 `[]` = Apply ErrorSym0 "Data.Singletons.List.foldr1: empty list" 

sFoldr1 :: forall t t. Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t :: a) Source

Special folds

type family And a :: Bool Source

Equations

And `[]` = TrueSym0 
And ((:) x xs) = Apply (Apply (:&&$) x) (Apply AndSym0 xs) 

sAnd :: forall t. Sing t -> Sing (Apply AndSym0 t :: Bool) Source

type family Or a :: Bool Source

Equations

Or `[]` = FalseSym0 
Or ((:) x xs) = Apply (Apply (:||$) x) (Apply OrSym0 xs) 

sOr :: forall t. Sing t -> Sing (Apply OrSym0 t :: Bool) Source

type family Any_ a a :: Bool Source

Equations

Any_ _z_1627737930 `[]` = FalseSym0 
Any_ p ((:) x xs) = Apply (Apply (:||$) (Apply p x)) (Apply (Apply Any_Sym0 p) xs) 

sAny_ :: forall t t. Sing t -> Sing t -> Sing (Apply (Apply Any_Sym0 t) t :: Bool) Source

type family All a a :: Bool Source

Equations

All _z_1627751635 `[]` = TrueSym0 
All p ((:) x xs) = Apply (Apply (:&&$) (Apply p x)) (Apply (Apply AllSym0 p) xs) 

sAll :: forall t t. Sing t -> Sing t -> Sing (Apply (Apply AllSym0 t) t :: Bool) Source

type family Concat a :: [a] Source

Equations

Concat a_1627751666 = Apply (Apply (Apply FoldrSym0 (:++$)) `[]`) a_1627751666 

sConcat :: forall t. Sing t -> Sing (Apply ConcatSym0 t :: [a]) Source

type family ConcatMap a a :: [b] Source

Equations

ConcatMap f a_1627751662 = Apply (Apply (Apply FoldrSym0 (Apply (Apply (:.$) (:++$)) f)) `[]`) a_1627751662 

sConcatMap :: forall t t. Sing t -> Sing t -> Sing (Apply (Apply ConcatMapSym0 t) t :: [b]) Source

Scans

type family Scanl a a a :: [b] Source

Equations

Scanl f q ls = Apply (Apply (:$) q) (Case_1627751606 f q ls (Let1627751593Scrutinee_1627749143Sym3 f q ls)) 

sScanl :: forall t t t. Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ScanlSym0 t) t) t :: [b]) Source

type family Scanl1 a a :: [a] Source

Equations

Scanl1 f ((:) x xs) = Apply (Apply (Apply ScanlSym0 f) x) xs 
Scanl1 _z_1627751623 `[]` = `[]` 

sScanl1 :: forall t t. Sing t -> Sing t -> Sing (Apply (Apply Scanl1Sym0 t) t :: [a]) Source

type family Scanr a a a :: [b] Source

Equations

Scanr _z_1627751543 q0 `[]` = Apply (Apply (:$) q0) `[]` 
Scanr f q0 ((:) x xs) = Case_1627751570 f q0 x xs (Let1627751551Scrutinee_1627749145Sym4 f q0 x xs) 

sScanr :: forall t t t. Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ScanrSym0 t) t) t :: [b]) Source

type family Scanr1 a a :: [a] Source

Equations

Scanr1 _z_1627751474 `[]` = `[]` 
Scanr1 _z_1627751477 `[x]` = Apply (Apply (:$) x) `[]` 
Scanr1 f ((:) x ((:) wild_1627749149 wild_1627749151)) = Case_1627751523 f x wild_1627749149 wild_1627749151 (Let1627751504Scrutinee_1627749147Sym4 f x wild_1627749149 wild_1627749151) 

sScanr1 :: forall t t. Sing t -> Sing t -> Sing (Apply (Apply Scanr1Sym0 t) t :: [a]) Source

Searching lists

type family Elem a a :: Bool Source

Equations

Elem _z_1627750977 `[]` = FalseSym0 
Elem x ((:) y ys) = Apply (Apply (:||$) (Apply (Apply (:==$) x) y)) (Apply (Apply ElemSym0 x) ys) 

sElem :: forall t t. SEq (KProxy :: KProxy a) => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t :: Bool) Source

type family NotElem a a :: Bool Source

Equations

NotElem _z_1627750962 `[]` = TrueSym0 
NotElem x ((:) y ys) = Apply (Apply (:&&$) (Apply (Apply (:/=$) x) y)) (Apply (Apply NotElemSym0 x) ys) 

sNotElem :: forall t t. SEq (KProxy :: KProxy a) => Sing t -> Sing t -> Sing (Apply (Apply NotElemSym0 t) t :: Bool) Source

Zipping and unzipping lists

type family Zip a a :: [(a, b)] Source

Equations

Zip ((:) x xs) ((:) y ys) = Apply (Apply (:$) (Apply (Apply Tuple2Sym0 x) y)) (Apply (Apply ZipSym0 xs) ys) 
Zip `[]` `[]` = `[]` 
Zip ((:) _z_1627750839 _z_1627750842) `[]` = `[]` 
Zip `[]` ((:) _z_1627750845 _z_1627750848) = `[]` 

sZip :: forall t t. Sing t -> Sing t -> Sing (Apply (Apply ZipSym0 t) t :: [(a, b)]) Source

type family Zip3 a a a :: [(a, b, c)] Source

Equations

Zip3 ((:) a as) ((:) b bs) ((:) c cs) = Apply (Apply (:$) (Apply (Apply (Apply Tuple3Sym0 a) b) c)) (Apply (Apply (Apply Zip3Sym0 as) bs) cs) 
Zip3 `[]` `[]` `[]` = `[]` 
Zip3 `[]` `[]` ((:) _z_1627750772 _z_1627750775) = `[]` 
Zip3 `[]` ((:) _z_1627750778 _z_1627750781) `[]` = `[]` 
Zip3 `[]` ((:) _z_1627750784 _z_1627750787) ((:) _z_1627750790 _z_1627750793) = `[]` 
Zip3 ((:) _z_1627750796 _z_1627750799) `[]` `[]` = `[]` 
Zip3 ((:) _z_1627750802 _z_1627750805) `[]` ((:) _z_1627750808 _z_1627750811) = `[]` 
Zip3 ((:) _z_1627750814 _z_1627750817) ((:) _z_1627750820 _z_1627750823) `[]` = `[]` 

sZip3 :: forall t t t. Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Zip3Sym0 t) t) t :: [(a, b, c)]) Source

type family ZipWith a a a :: [c] Source

Equations

ZipWith f ((:) x xs) ((:) y ys) = Apply (Apply (:$) (Apply (Apply f x) y)) (Apply (Apply (Apply ZipWithSym0 f) xs) ys) 
ZipWith _z_1627750730 `[]` `[]` = `[]` 
ZipWith _z_1627750733 ((:) _z_1627750736 _z_1627750739) `[]` = `[]` 
ZipWith _z_1627750742 `[]` ((:) _z_1627750745 _z_1627750748) = `[]` 

sZipWith :: forall t t t. Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ZipWithSym0 t) t) t :: [c]) Source

type family ZipWith3 a a a a :: [d] Source

Equations

ZipWith3 z ((:) a as) ((:) b bs) ((:) c cs) = Apply (Apply (:$) (Apply (Apply (Apply z a) b) c)) (Apply (Apply (Apply (Apply ZipWith3Sym0 z) as) bs) cs) 
ZipWith3 _z_1627750635 `[]` `[]` `[]` = `[]` 
ZipWith3 _z_1627750638 `[]` `[]` ((:) _z_1627750641 _z_1627750644) = `[]` 
ZipWith3 _z_1627750647 `[]` ((:) _z_1627750650 _z_1627750653) `[]` = `[]` 
ZipWith3 _z_1627750656 `[]` ((:) _z_1627750659 _z_1627750662) ((:) _z_1627750665 _z_1627750668) = `[]` 
ZipWith3 _z_1627750671 ((:) _z_1627750674 _z_1627750677) `[]` `[]` = `[]` 
ZipWith3 _z_1627750680 ((:) _z_1627750683 _z_1627750686) `[]` ((:) _z_1627750689 _z_1627750692) = `[]` 
ZipWith3 _z_1627750695 ((:) _z_1627750698 _z_1627750701) ((:) _z_1627750704 _z_1627750707) `[]` = `[]` 

sZipWith3 :: forall t t t t. Sing t -> Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply (Apply ZipWith3Sym0 t) t) t) t :: [d]) Source

type family Unzip a :: ([a], [b]) Source

Equations

Unzip xs = Apply (Apply (Apply FoldrSym0 (Apply Lambda_1627750581Sym0 xs)) (Apply (Apply Tuple2Sym0 `[]`) `[]`)) xs 

sUnzip :: forall t. Sing t -> Sing (Apply UnzipSym0 t :: ([a], [b])) Source

type family Unzip3 a :: ([a], [b], [c]) Source

Equations

Unzip3 xs = Apply (Apply (Apply FoldrSym0 (Apply Lambda_1627750549Sym0 xs)) (Apply (Apply (Apply Tuple3Sym0 `[]`) `[]`) `[]`)) xs 

sUnzip3 :: forall t. Sing t -> Sing (Apply Unzip3Sym0 t :: ([a], [b], [c])) Source

Other datatypes

type family Maybe_ a a a :: b Source

Equations

Maybe_ n _z_1627667536 Nothing = n 
Maybe_ _z_1627667539 f (Just x) = Apply f x 

sMaybe_ :: forall t t t. Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Maybe_Sym0 t) t) t :: b) Source

type family Either_ a a a :: c Source

Equations

Either_ f _z_1627652955 (Left x) = Apply f x 
Either_ _z_1627652959 g (Right y) = Apply g y 

sEither_ :: forall t t t. Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Either_Sym0 t) t) t :: c) Source

type family Fst a :: a Source

Equations

Fst `(x, _z_1627662228)` = x 

sFst :: forall t. Sing t -> Sing (Apply FstSym0 t :: a) Source

type family Snd a :: b Source

Equations

Snd `(_z_1627662219, y)` = y 

sSnd :: forall t. Sing t -> Sing (Apply SndSym0 t :: b) Source

type family Curry a a a :: c Source

Equations

Curry f x y = Apply f (Apply (Apply Tuple2Sym0 x) y) 

sCurry :: forall t t t. Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply CurrySym0 t) t) t :: c) Source

type family Uncurry a a :: c Source

Equations

Uncurry f p = Apply (Apply f (Apply FstSym0 p)) (Apply SndSym0 p) 

sUncurry :: forall t t. Sing t -> Sing t -> Sing (Apply (Apply UncurrySym0 t) t :: c) Source

data Symbol :: *

(Kind) This is the kind of type-level symbols.

Instances

data Sing Symbol where Source 
type (==) Symbol a b = EqSymbol a b 
type (:==) Symbol a b = (==) Symbol a b Source 
type (:/=) Symbol x y = Not ((:==) Symbol x y) 
type Compare Symbol a b = CmpSymbol a b Source 
type (:<) Symbol arg0 arg1 
type (:<=) Symbol arg0 arg1 
type (:>) Symbol arg0 arg1 
type (:>=) Symbol arg0 arg1 
type Max Symbol arg0 arg1 
type Min Symbol arg0 arg1 
type DemoteRep Symbol (KProxy Symbol) = String Source 

Other functions

either_ :: forall a c b. (a -> c) -> (b -> c) -> Either a b -> c Source

maybe_ :: forall b a. b -> (a -> b) -> Maybe a -> b Source

bool_ :: forall a. a -> a -> Bool -> a Source

any_ :: forall a. (a -> Bool) -> [a] -> Bool Source

Defunctionalization symbols

type FalseSym0 = False Source

type TrueSym0 = True Source

data NotSym0 l Source

Instances

type NotSym1 t = Not t Source

data (:&&$) l Source

Instances

SuppressUnusedWarnings (TyFun Bool (TyFun Bool Bool -> *) -> *) (:&&$) Source 
type Apply (TyFun Bool Bool -> *) Bool (:&&$) l0 = (:&&$$) l0 Source 

data l :&&$$ l Source

Instances

SuppressUnusedWarnings (Bool -> TyFun Bool Bool -> *) (:&&$$) Source 
type Apply Bool Bool ((:&&$$) l1) l0 = (:&&$$$) l1 l0 Source 

type (:&&$$$) t t = (:&&) t t Source

data (:||$) l Source

Instances

SuppressUnusedWarnings (TyFun Bool (TyFun Bool Bool -> *) -> *) (:||$) Source 
type Apply (TyFun Bool Bool -> *) Bool (:||$) l0 = (:||$$) l0 Source 

data l :||$$ l Source

Instances

SuppressUnusedWarnings (Bool -> TyFun Bool Bool -> *) (:||$$) Source 
type Apply Bool Bool ((:||$$) l1) l0 = (:||$$$) l1 l0 Source 

type (:||$$$) t t = (:||) t t Source

type OtherwiseSym0 = Otherwise Source

type NothingSym0 = Nothing Source

data JustSym0 l Source

Instances

SuppressUnusedWarnings (TyFun k (Maybe k) -> *) (JustSym0 k) Source 
type Apply (Maybe k) k (JustSym0 k) l0 = JustSym1 k l0 Source 

type JustSym1 t = Just t Source

data Maybe_Sym0 l Source

Instances

SuppressUnusedWarnings (TyFun k (TyFun (TyFun k k -> *) (TyFun (Maybe k) k -> *) -> *) -> *) (Maybe_Sym0 k k) Source 
type Apply (TyFun (TyFun k1 k -> *) (TyFun (Maybe k1) k -> *) -> *) k (Maybe_Sym0 k k1) l0 = Maybe_Sym1 k k1 l0 Source 

data Maybe_Sym1 l l Source

Instances

SuppressUnusedWarnings (k -> TyFun (TyFun k k -> *) (TyFun (Maybe k) k -> *) -> *) (Maybe_Sym1 k k) Source 
type Apply (TyFun (Maybe k) k1 -> *) (TyFun k k1 -> *) (Maybe_Sym1 k1 k l1) l0 = Maybe_Sym2 k1 k l1 l0 Source 

data Maybe_Sym2 l l l Source

Instances

SuppressUnusedWarnings (k -> (TyFun k k -> *) -> TyFun (Maybe k) k -> *) (Maybe_Sym2 k k) Source 
type Apply k (Maybe k1) (Maybe_Sym2 k k1 l1 l2) l0 = Maybe_Sym3 k k1 l1 l2 l0 Source 

type Maybe_Sym3 t t t = Maybe_ t t t Source

data LeftSym0 l Source

Instances

SuppressUnusedWarnings (TyFun k (Either k k) -> *) (LeftSym0 k k) Source 
type Apply (Either k k1) k (LeftSym0 k k1) l0 = LeftSym1 k k1 l0 Source 

type LeftSym1 t = Left t Source

data RightSym0 l Source

Instances

SuppressUnusedWarnings (TyFun k (Either k k) -> *) (RightSym0 k k) Source 
type Apply (Either k1 k) k (RightSym0 k1 k) l0 = RightSym1 k k1 l0 Source 

type RightSym1 t = Right t Source

data Either_Sym0 l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun k k -> *) (TyFun (TyFun k k -> *) (TyFun (Either k k) k -> *) -> *) -> *) (Either_Sym0 k k k) Source 
type Apply (TyFun (TyFun k2 k1 -> *) (TyFun (Either k k2) k1 -> *) -> *) (TyFun k k1 -> *) (Either_Sym0 k k1 k2) l0 = Either_Sym1 k k1 k2 l0 Source 

data Either_Sym1 l l Source

Instances

SuppressUnusedWarnings ((TyFun k k -> *) -> TyFun (TyFun k k -> *) (TyFun (Either k k) k -> *) -> *) (Either_Sym1 k k k) Source 
type Apply (TyFun (Either k1 k) k2 -> *) (TyFun k k2 -> *) (Either_Sym1 k1 k2 k l1) l0 = Either_Sym2 k1 k2 k l1 l0 Source 

data Either_Sym2 l l l Source

Instances

SuppressUnusedWarnings ((TyFun k k -> *) -> (TyFun k k -> *) -> TyFun (Either k k) k -> *) (Either_Sym2 k k k) Source 
type Apply k1 (Either k k2) (Either_Sym2 k k1 k2 l1 l2) l0 = Either_Sym3 k k1 k2 l1 l2 l0 Source 

type Either_Sym3 t t t = Either_ t t t Source

type Tuple0Sym0 = `()` Source

data Tuple2Sym0 l Source

Instances

SuppressUnusedWarnings (TyFun k (TyFun k ((,) k k) -> *) -> *) (Tuple2Sym0 k k) Source 
type Apply (TyFun k1 ((,) k k1) -> *) k (Tuple2Sym0 k k1) l0 = Tuple2Sym1 k k1 l0 Source 

data Tuple2Sym1 l l Source

Instances

SuppressUnusedWarnings (k -> TyFun k ((,) k k) -> *) (Tuple2Sym1 k k) Source 
type Apply ((,) k1 k) k (Tuple2Sym1 k1 k l1) l0 = Tuple2Sym2 k1 k l1 l0 Source 

type Tuple2Sym2 t t = `(t, t)` Source

data Tuple3Sym0 l Source

Instances

SuppressUnusedWarnings (TyFun k (TyFun k (TyFun k ((,,) k k k) -> *) -> *) -> *) (Tuple3Sym0 k k k) Source 
type Apply (TyFun k1 (TyFun k2 ((,,) k k1 k2) -> *) -> *) k (Tuple3Sym0 k k1 k2) l0 = Tuple3Sym1 k k1 k2 l0 Source 

data Tuple3Sym1 l l Source

Instances

SuppressUnusedWarnings (k -> TyFun k (TyFun k ((,,) k k k) -> *) -> *) (Tuple3Sym1 k k k) Source 
type Apply (TyFun k1 ((,,) k2 k k1) -> *) k (Tuple3Sym1 k2 k k1 l1) l0 = Tuple3Sym2 k2 k k1 l1 l0 Source 

data Tuple3Sym2 l l l Source

Instances

SuppressUnusedWarnings (k -> k -> TyFun k ((,,) k k k) -> *) (Tuple3Sym2 k k k) Source 
type Apply ((,,) k1 k2 k) k (Tuple3Sym2 k1 k2 k l1 l2) l0 = Tuple3Sym3 k1 k2 k l1 l2 l0 Source 

type Tuple3Sym3 t t t = `(t, t, t)` Source

data Tuple4Sym0 l Source

Instances

SuppressUnusedWarnings (TyFun k (TyFun k (TyFun k (TyFun k ((,,,) k k k k) -> *) -> *) -> *) -> *) (Tuple4Sym0 k k k k) Source 
type Apply (TyFun k1 (TyFun k2 (TyFun k3 ((,,,) k k1 k2 k3) -> *) -> *) -> *) k (Tuple4Sym0 k k1 k2 k3) l0 = Tuple4Sym1 k k1 k2 k3 l0 Source 

data Tuple4Sym1 l l Source

Instances

SuppressUnusedWarnings (k -> TyFun k (TyFun k (TyFun k ((,,,) k k k k) -> *) -> *) -> *) (Tuple4Sym1 k k k k) Source 
type Apply (TyFun k1 (TyFun k2 ((,,,) k3 k k1 k2) -> *) -> *) k (Tuple4Sym1 k3 k k1 k2 l1) l0 = Tuple4Sym2 k3 k k1 k2 l1 l0 Source 

data Tuple4Sym2 l l l Source

Instances

SuppressUnusedWarnings (k -> k -> TyFun k (TyFun k ((,,,) k k k k) -> *) -> *) (Tuple4Sym2 k k k k) Source 
type Apply (TyFun k1 ((,,,) k2 k3 k k1) -> *) k (Tuple4Sym2 k2 k3 k k1 l1 l2) l0 = Tuple4Sym3 k2 k3 k k1 l1 l2 l0 Source 

data Tuple4Sym3 l l l l Source

Instances

SuppressUnusedWarnings (k -> k -> k -> TyFun k ((,,,) k k k k) -> *) (Tuple4Sym3 k k k k) Source 
type Apply ((,,,) k1 k2 k3 k) k (Tuple4Sym3 k1 k2 k3 k l1 l2 l3) l0 = Tuple4Sym4 k1 k2 k3 k l1 l2 l3 l0 Source 

type Tuple4Sym4 t t t t = `(t, t, t, t)` Source

data Tuple5Sym0 l Source

Instances

SuppressUnusedWarnings (TyFun k (TyFun k (TyFun k (TyFun k (TyFun k ((,,,,) k k k k k) -> *) -> *) -> *) -> *) -> *) (Tuple5Sym0 k k k k k) Source 
type Apply (TyFun k1 (TyFun k2 (TyFun k3 (TyFun k4 ((,,,,) k k1 k2 k3 k4) -> *) -> *) -> *) -> *) k (Tuple5Sym0 k k1 k2 k3 k4) l0 = Tuple5Sym1 k k1 k2 k3 k4 l0 Source 

data Tuple5Sym1 l l Source

Instances

SuppressUnusedWarnings (k -> TyFun k (TyFun k (TyFun k (TyFun k ((,,,,) k k k k k) -> *) -> *) -> *) -> *) (Tuple5Sym1 k k k k k) Source 
type Apply (TyFun k1 (TyFun k2 (TyFun k3 ((,,,,) k4 k k1 k2 k3) -> *) -> *) -> *) k (Tuple5Sym1 k4 k k1 k2 k3 l1) l0 = Tuple5Sym2 k4 k k1 k2 k3 l1 l0 Source 

data Tuple5Sym2 l l l Source

Instances

SuppressUnusedWarnings (k -> k -> TyFun k (TyFun k (TyFun k ((,,,,) k k k k k) -> *) -> *) -> *) (Tuple5Sym2 k k k k k) Source 
type Apply (TyFun k1 (TyFun k2 ((,,,,) k3 k4 k k1 k2) -> *) -> *) k (Tuple5Sym2 k3 k4 k k1 k2 l1 l2) l0 = Tuple5Sym3 k3 k4 k k1 k2 l1 l2 l0 Source 

data Tuple5Sym3 l l l l Source

Instances

SuppressUnusedWarnings (k -> k -> k -> TyFun k (TyFun k ((,,,,) k k k k k) -> *) -> *) (Tuple5Sym3 k k k k k) Source 
type Apply (TyFun k1 ((,,,,) k2 k3 k4 k k1) -> *) k (Tuple5Sym3 k2 k3 k4 k k1 l1 l2 l3) l0 = Tuple5Sym4 k2 k3 k4 k k1 l1 l2 l3 l0 Source 

data Tuple5Sym4 l l l l l Source

Instances

SuppressUnusedWarnings (k -> k -> k -> k -> TyFun k ((,,,,) k k k k k) -> *) (Tuple5Sym4 k k k k k) Source 
type Apply ((,,,,) k1 k2 k3 k4 k) k (Tuple5Sym4 k1 k2 k3 k4 k l1 l2 l3 l4) l0 = Tuple5Sym5 k1 k2 k3 k4 k l1 l2 l3 l4 l0 Source 

type Tuple5Sym5 t t t t t = `(t, t, t, t, t)` Source

data Tuple6Sym0 l Source

Instances

SuppressUnusedWarnings (TyFun k (TyFun k (TyFun k (TyFun k (TyFun k (TyFun k ((,,,,,) k k k k k k) -> *) -> *) -> *) -> *) -> *) -> *) (Tuple6Sym0 k k k k k k) Source 
type Apply (TyFun k1 (TyFun k2 (TyFun k3 (TyFun k4 (TyFun k5 ((,,,,,) k k1 k2 k3 k4 k5) -> *) -> *) -> *) -> *) -> *) k (Tuple6Sym0 k k1 k2 k3 k4 k5) l0 = Tuple6Sym1 k k1 k2 k3 k4 k5 l0 Source 

data Tuple6Sym1 l l Source

Instances

SuppressUnusedWarnings (k -> TyFun k (TyFun k (TyFun k (TyFun k (TyFun k ((,,,,,) k k k k k k) -> *) -> *) -> *) -> *) -> *) (Tuple6Sym1 k k k k k k) Source 
type Apply (TyFun k1 (TyFun k2 (TyFun k3 (TyFun k4 ((,,,,,) k5 k k1 k2 k3 k4) -> *) -> *) -> *) -> *) k (Tuple6Sym1 k5 k k1 k2 k3 k4 l1) l0 = Tuple6Sym2 k5 k k1 k2 k3 k4 l1 l0 Source 

data Tuple6Sym2 l l l Source

Instances

SuppressUnusedWarnings (k -> k -> TyFun k (TyFun k (TyFun k (TyFun k ((,,,,,) k k k k k k) -> *) -> *) -> *) -> *) (Tuple6Sym2 k k k k k k) Source 
type Apply (TyFun k1 (TyFun k2 (TyFun k3 ((,,,,,) k4 k5 k k1 k2 k3) -> *) -> *) -> *) k (Tuple6Sym2 k4 k5 k k1 k2 k3 l1 l2) l0 = Tuple6Sym3 k4 k5 k k1 k2 k3 l1 l2 l0 Source 

data Tuple6Sym3 l l l l Source

Instances

SuppressUnusedWarnings (k -> k -> k -> TyFun k (TyFun k (TyFun k ((,,,,,) k k k k k k) -> *) -> *) -> *) (Tuple6Sym3 k k k k k k) Source 
type Apply (TyFun k1 (TyFun k2 ((,,,,,) k3 k4 k5 k k1 k2) -> *) -> *) k (Tuple6Sym3 k3 k4 k5 k k1 k2 l1 l2 l3) l0 = Tuple6Sym4 k3 k4 k5 k k1 k2 l1 l2 l3 l0 Source 

data Tuple6Sym4 l l l l l Source

Instances

SuppressUnusedWarnings (k -> k -> k -> k -> TyFun k (TyFun k ((,,,,,) k k k k k k) -> *) -> *) (Tuple6Sym4 k k k k k k) Source 
type Apply (TyFun k1 ((,,,,,) k2 k3 k4 k5 k k1) -> *) k (Tuple6Sym4 k2 k3 k4 k5 k k1 l1 l2 l3 l4) l0 = Tuple6Sym5 k2 k3 k4 k5 k k1 l1 l2 l3 l4 l0 Source 

data Tuple6Sym5 l l l l l l Source

Instances

SuppressUnusedWarnings (k -> k -> k -> k -> k -> TyFun k ((,,,,,) k k k k k k) -> *) (Tuple6Sym5 k k k k k k) Source 
type Apply ((,,,,,) k1 k2 k3 k4 k5 k) k (Tuple6Sym5 k1 k2 k3 k4 k5 k l1 l2 l3 l4 l5) l0 = Tuple6Sym6 k1 k2 k3 k4 k5 k l1 l2 l3 l4 l5 l0 Source 

type Tuple6Sym6 t t t t t t = `(t, t, t, t, t, t)` Source

data Tuple7Sym0 l Source

Instances

SuppressUnusedWarnings (TyFun k (TyFun k (TyFun k (TyFun k (TyFun k (TyFun k (TyFun k ((,,,,,,) k k k k k k k) -> *) -> *) -> *) -> *) -> *) -> *) -> *) (Tuple7Sym0 k k k k k k k) Source 
type Apply (TyFun k1 (TyFun k2 (TyFun k3 (TyFun k4 (TyFun k5 (TyFun k6 ((,,,,,,) k k1 k2 k3 k4 k5 k6) -> *) -> *) -> *) -> *) -> *) -> *) k (Tuple7Sym0 k k1 k2 k3 k4 k5 k6) l0 = Tuple7Sym1 k k1 k2 k3 k4 k5 k6 l0 Source 

data Tuple7Sym1 l l Source

Instances

SuppressUnusedWarnings (k -> TyFun k (TyFun k (TyFun k (TyFun k (TyFun k (TyFun k ((,,,,,,) k k k k k k k) -> *) -> *) -> *) -> *) -> *) -> *) (Tuple7Sym1 k k k k k k k) Source 
type Apply (TyFun k1 (TyFun k2 (TyFun k3 (TyFun k4 (TyFun k5 ((,,,,,,) k6 k k1 k2 k3 k4 k5) -> *) -> *) -> *) -> *) -> *) k (Tuple7Sym1 k6 k k1 k2 k3 k4 k5 l1) l0 = Tuple7Sym2 k6 k k1 k2 k3 k4 k5 l1 l0 Source 

data Tuple7Sym2 l l l Source

Instances

SuppressUnusedWarnings (k -> k -> TyFun k (TyFun k (TyFun k (TyFun k (TyFun k ((,,,,,,) k k k k k k k) -> *) -> *) -> *) -> *) -> *) (Tuple7Sym2 k k k k k k k) Source 
type Apply (TyFun k1 (TyFun k2 (TyFun k3 (TyFun k4 ((,,,,,,) k5 k6 k k1 k2 k3 k4) -> *) -> *) -> *) -> *) k (Tuple7Sym2 k5 k6 k k1 k2 k3 k4 l1 l2) l0 = Tuple7Sym3 k5 k6 k k1 k2 k3 k4 l1 l2 l0 Source 

data Tuple7Sym3 l l l l Source

Instances

SuppressUnusedWarnings (k -> k -> k -> TyFun k (TyFun k (TyFun k (TyFun k ((,,,,,,) k k k k k k k) -> *) -> *) -> *) -> *) (Tuple7Sym3 k k k k k k k) Source 
type Apply (TyFun k1 (TyFun k2 (TyFun k3 ((,,,,,,) k4 k5 k6 k k1 k2 k3) -> *) -> *) -> *) k (Tuple7Sym3 k4 k5 k6 k k1 k2 k3 l1 l2 l3) l0 = Tuple7Sym4 k4 k5 k6 k k1 k2 k3 l1 l2 l3 l0 Source 

data Tuple7Sym4 l l l l l Source

Instances

SuppressUnusedWarnings (k -> k -> k -> k -> TyFun k (TyFun k (TyFun k ((,,,,,,) k k k k k k k) -> *) -> *) -> *) (Tuple7Sym4 k k k k k k k) Source 
type Apply (TyFun k1 (TyFun k2 ((,,,,,,) k3 k4 k5 k6 k k1 k2) -> *) -> *) k (Tuple7Sym4 k3 k4 k5 k6 k k1 k2 l1 l2 l3 l4) l0 = Tuple7Sym5 k3 k4 k5 k6 k k1 k2 l1 l2 l3 l4 l0 Source 

data Tuple7Sym5 l l l l l l Source

Instances

SuppressUnusedWarnings (k -> k -> k -> k -> k -> TyFun k (TyFun k ((,,,,,,) k k k k k k k) -> *) -> *) (Tuple7Sym5 k k k k k k k) Source 
type Apply (TyFun k1 ((,,,,,,) k2 k3 k4 k5 k6 k k1) -> *) k (Tuple7Sym5 k2 k3 k4 k5 k6 k k1 l1 l2 l3 l4 l5) l0 = Tuple7Sym6 k2 k3 k4 k5 k6 k k1 l1 l2 l3 l4 l5 l0 Source 

data Tuple7Sym6 l l l l l l l Source

Instances

SuppressUnusedWarnings (k -> k -> k -> k -> k -> k -> TyFun k ((,,,,,,) k k k k k k k) -> *) (Tuple7Sym6 k k k k k k k) Source 
type Apply ((,,,,,,) k1 k2 k3 k4 k5 k6 k) k (Tuple7Sym6 k1 k2 k3 k4 k5 k6 k l1 l2 l3 l4 l5 l6) l0 = Tuple7Sym7 k1 k2 k3 k4 k5 k6 k l1 l2 l3 l4 l5 l6 l0 Source 

type Tuple7Sym7 t t t t t t t = `(t, t, t, t, t, t, t)` Source

data FstSym0 l Source

Instances

SuppressUnusedWarnings (TyFun ((,) k k) k -> *) (FstSym0 k k) Source 
type Apply k ((,) k k1) (FstSym0 k k1) l0 = FstSym1 k k1 l0 Source 

type FstSym1 t = Fst t Source

data SndSym0 l Source

Instances

SuppressUnusedWarnings (TyFun ((,) k k) k -> *) (SndSym0 k k) Source 
type Apply k ((,) k1 k) (SndSym0 k1 k) l0 = SndSym1 k1 k l0 Source 

type SndSym1 t = Snd t Source

data CurrySym0 l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun ((,) k k) k -> *) (TyFun k (TyFun k k -> *) -> *) -> *) (CurrySym0 k k k) Source 
type Apply (TyFun k (TyFun k1 k2 -> *) -> *) (TyFun ((,) k k1) k2 -> *) (CurrySym0 k k1 k2) l0 = CurrySym1 k k1 k2 l0 Source 

data CurrySym1 l l Source

Instances

SuppressUnusedWarnings ((TyFun ((,) k k) k -> *) -> TyFun k (TyFun k k -> *) -> *) (CurrySym1 k k k) Source 
type Apply (TyFun k1 k2 -> *) k (CurrySym1 k k1 k2 l1) l0 = CurrySym2 k k1 k2 l1 l0 Source 

data CurrySym2 l l l Source

Instances

SuppressUnusedWarnings ((TyFun ((,) k k) k -> *) -> k -> TyFun k k -> *) (CurrySym2 k k k) Source 
type Apply k2 k (CurrySym2 k1 k k2 l1 l2) l0 = CurrySym3 k1 k k2 l1 l2 l0 Source 

type CurrySym3 t t t = Curry t t t Source

data UncurrySym0 l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun k (TyFun k k -> *) -> *) (TyFun ((,) k k) k -> *) -> *) (UncurrySym0 k k k) Source 
type Apply (TyFun ((,) k k1) k2 -> *) (TyFun k (TyFun k1 k2 -> *) -> *) (UncurrySym0 k k1 k2) l0 = UncurrySym1 k k1 k2 l0 Source 

data UncurrySym1 l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k k -> *) -> *) -> TyFun ((,) k k) k -> *) (UncurrySym1 k k k) Source 
type Apply k2 ((,) k k1) (UncurrySym1 k k1 k2 l1) l0 = UncurrySym2 k k1 k2 l1 l0 Source 

type UncurrySym2 t t = Uncurry t t Source

data IdSym0 l Source

Instances

SuppressUnusedWarnings (TyFun k k -> *) (IdSym0 k) Source 
type Apply k k (IdSym0 k) l0 = IdSym1 k l0 Source 

type IdSym1 t = Id t Source

data ConstSym0 l Source

Instances

SuppressUnusedWarnings (TyFun k (TyFun k k -> *) -> *) (ConstSym0 k k) Source 
type Apply (TyFun k1 k -> *) k (ConstSym0 k k1) l0 = ConstSym1 k k1 l0 Source 

data ConstSym1 l l Source

Instances

SuppressUnusedWarnings (k -> TyFun k k -> *) (ConstSym1 k k) Source 
type Apply k1 k (ConstSym1 k1 k l1) l0 = ConstSym2 k1 k l1 l0 Source 

type ConstSym2 t t = Const t t Source

data (:.$) l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun k k -> *) (TyFun (TyFun k k -> *) (TyFun k k -> *) -> *) -> *) ((:.$) k k k) Source 
type Apply (TyFun (TyFun k2 k -> *) (TyFun k2 k1 -> *) -> *) (TyFun k k1 -> *) ((:.$) k k1 k2) l0 = (:.$$) k k1 k2 l0 Source 

data l :.$$ l Source

Instances

SuppressUnusedWarnings ((TyFun k k -> *) -> TyFun (TyFun k k -> *) (TyFun k k -> *) -> *) ((:.$$) k k k) Source 
type Apply (TyFun k k2 -> *) (TyFun k k1 -> *) ((:.$$) k1 k2 k l1) l0 = (:.$$$) k1 k2 k l1 l0 Source 

data (l :.$$$ l) l Source

Instances

SuppressUnusedWarnings ((TyFun k k -> *) -> (TyFun k k -> *) -> TyFun k k -> *) ((:.$$$) k k k) Source 
type Apply k2 k ((:.$$$) k1 k2 k l1 l2) l0 = (:.$$$$) k1 k2 k l1 l2 l0 Source 

data ($$) :: TyFun (TyFun a b -> *) (TyFun a b -> *) -> * Source

Instances

type Apply (TyFun k k1 -> *) (TyFun k k1 -> *) (($$) k k1) arg = ($$$) k k1 arg Source 

data ($$$) :: (TyFun a b -> *) -> TyFun a b -> * Source

Instances

type Apply k1 k (($$$) k k1 f) arg = ($$$$) k1 k f arg Source 

type ($$$$) a b = ($) a b Source

data ($!$) :: TyFun (TyFun a b -> *) (TyFun a b -> *) -> * Source

Instances

type Apply (TyFun k k1 -> *) (TyFun k k1 -> *) (($!$) k k1) arg = ($!$$) k k1 arg Source 

data ($!$$) :: (TyFun a b -> *) -> TyFun a b -> * Source

Instances

type Apply k1 k (($!$$) k k1 f) arg = ($!$$$) k1 k f arg Source 

type ($!$$$) a b = ($!) a b Source

data FlipSym0 l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun k (TyFun k k -> *) -> *) (TyFun k (TyFun k k -> *) -> *) -> *) (FlipSym0 k k k) Source 
type Apply (TyFun k1 (TyFun k k2 -> *) -> *) (TyFun k (TyFun k1 k2 -> *) -> *) (FlipSym0 k k1 k2) l0 = FlipSym1 k k1 k2 l0 Source 

data FlipSym1 l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k k -> *) -> *) -> TyFun k (TyFun k k -> *) -> *) (FlipSym1 k k k) Source 
type Apply (TyFun k1 k2 -> *) k (FlipSym1 k1 k k2 l1) l0 = FlipSym2 k1 k k2 l1 l0 Source 

data FlipSym2 l l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k k -> *) -> *) -> k -> TyFun k k -> *) (FlipSym2 k k k) Source 
type Apply k2 k (FlipSym2 k k1 k2 l1 l2) l0 = FlipSym3 k k1 k2 l1 l2 l0 Source 

data AsTypeOfSym0 l Source

Instances

SuppressUnusedWarnings (TyFun k (TyFun k k -> *) -> *) (AsTypeOfSym0 k) Source 
type Apply (TyFun k k -> *) k (AsTypeOfSym0 k) l0 = AsTypeOfSym1 k l0 Source 

data AsTypeOfSym1 l l Source

Instances

SuppressUnusedWarnings (k -> TyFun k k -> *) (AsTypeOfSym1 k) Source 
type Apply k k (AsTypeOfSym1 k l1) l0 = AsTypeOfSym2 k l1 l0 Source 

type AsTypeOfSym2 t t = AsTypeOf t t Source

data SeqSym0 l Source

Instances

SuppressUnusedWarnings (TyFun k (TyFun k k -> *) -> *) (SeqSym0 k k) Source 
type Apply (TyFun k1 k1 -> *) k (SeqSym0 k k1) l0 = SeqSym1 k k1 l0 Source 

data SeqSym1 l l Source

Instances

SuppressUnusedWarnings (k -> TyFun k k -> *) (SeqSym1 k k) Source 
type Apply k k (SeqSym1 k1 k l1) l0 = SeqSym2 k1 k l1 l0 Source 

type SeqSym2 t t = Seq t t Source

data (:$) l Source

Instances

SuppressUnusedWarnings (TyFun k (TyFun [k] [k] -> *) -> *) ((:$) k) Source 
type Apply (TyFun [k] [k] -> *) k ((:$) k) l0 = (:$$) k l0 Source 

data l :$$ l Source

Instances

SuppressUnusedWarnings (k -> TyFun [k] [k] -> *) ((:$$) k) Source 
type Apply [k] [k] ((:$$) k l1) l0 = (:$$$) k l1 l0 Source 

type (:$$$) t t = (:) t t Source

type NilSym0 = `[]` Source

data MapSym0 l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun k k -> *) (TyFun [k] [k] -> *) -> *) (MapSym0 k k) Source 
type Apply (TyFun [k] [k1] -> *) (TyFun k k1 -> *) (MapSym0 k k1) l0 = MapSym1 k k1 l0 Source 

data MapSym1 l l Source

Instances

SuppressUnusedWarnings ((TyFun k k -> *) -> TyFun [k] [k] -> *) (MapSym1 k k) Source 
type Apply [k1] [k] (MapSym1 k k1 l1) l0 = MapSym2 k k1 l1 l0 Source 

type MapSym2 t t = Map t t Source

data ReverseSym0 l Source

Instances

SuppressUnusedWarnings (TyFun [k] [k] -> *) (ReverseSym0 k) Source 
type Apply [k] [k] (ReverseSym0 k) l0 = ReverseSym1 k l0 Source 

type ReverseSym1 t = Reverse t Source

data l :++$$ l Source

Instances

SuppressUnusedWarnings ([k] -> TyFun [k] [k] -> *) ((:++$$) k) Source 
type Apply [k] [k] ((:++$$) k l1) l0 = (:++$$$) k l1 l0 Source 

data (:++$) l Source

Instances

SuppressUnusedWarnings (TyFun [k] (TyFun [k] [k] -> *) -> *) ((:++$) k) Source 
type Apply (TyFun [k] [k] -> *) [k] ((:++$) k) l0 = (:++$$) k l0 Source 

data HeadSym0 l Source

Instances

SuppressUnusedWarnings (TyFun [k] k -> *) (HeadSym0 k) Source 
type Apply k [k] (HeadSym0 k) l0 = HeadSym1 k l0 Source 

type HeadSym1 t = Head t Source

data LastSym0 l Source

Instances

SuppressUnusedWarnings (TyFun [k] k -> *) (LastSym0 k) Source 
type Apply k [k] (LastSym0 k) l0 = LastSym1 k l0 Source 

type LastSym1 t = Last t Source

data TailSym0 l Source

Instances

SuppressUnusedWarnings (TyFun [k] [k] -> *) (TailSym0 k) Source 
type Apply [k] [k] (TailSym0 k) l0 = TailSym1 k l0 Source 

type TailSym1 t = Tail t Source

data InitSym0 l Source

Instances

SuppressUnusedWarnings (TyFun [k] [k] -> *) (InitSym0 k) Source 
type Apply [k] [k] (InitSym0 k) l0 = InitSym1 k l0 Source 

type InitSym1 t = Init t Source

data NullSym0 l Source

Instances

type NullSym1 t = Null t Source

data FoldlSym0 l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun k (TyFun k k -> *) -> *) (TyFun k (TyFun [k] k -> *) -> *) -> *) (FoldlSym0 k k) Source 
type Apply (TyFun k1 (TyFun [k] k1 -> *) -> *) (TyFun k1 (TyFun k k1 -> *) -> *) (FoldlSym0 k k1) l0 = FoldlSym1 k k1 l0 Source 

data FoldlSym1 l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k k -> *) -> *) -> TyFun k (TyFun [k] k -> *) -> *) (FoldlSym1 k k) Source 
type Apply (TyFun [k1] k -> *) k (FoldlSym1 k1 k l1) l0 = FoldlSym2 k1 k l1 l0 Source 

data FoldlSym2 l l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k k -> *) -> *) -> k -> TyFun [k] k -> *) (FoldlSym2 k k) Source 
type Apply k1 [k] (FoldlSym2 k k1 l1 l2) l0 = FoldlSym3 k1 k l1 l2 l0 Source 

type FoldlSym3 t t t = Foldl t t t Source

data Foldl1Sym0 l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun k (TyFun k k -> *) -> *) (TyFun [k] k -> *) -> *) (Foldl1Sym0 k) Source 
type Apply (TyFun [k] k -> *) (TyFun k (TyFun k k -> *) -> *) (Foldl1Sym0 k) l0 = Foldl1Sym1 k l0 Source 

data Foldl1Sym1 l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k k -> *) -> *) -> TyFun [k] k -> *) (Foldl1Sym1 k) Source 
type Apply k [k] (Foldl1Sym1 k l1) l0 = Foldl1Sym2 k l1 l0 Source 

type Foldl1Sym2 t t = Foldl1 t t Source

data FoldrSym0 l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun k (TyFun k k -> *) -> *) (TyFun k (TyFun [k] k -> *) -> *) -> *) (FoldrSym0 k k) Source 
type Apply (TyFun k1 (TyFun [k] k1 -> *) -> *) (TyFun k (TyFun k1 k1 -> *) -> *) (FoldrSym0 k k1) l0 = FoldrSym1 k k1 l0 Source 

data FoldrSym1 l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k k -> *) -> *) -> TyFun k (TyFun [k] k -> *) -> *) (FoldrSym1 k k) Source 
type Apply (TyFun [k1] k -> *) k (FoldrSym1 k1 k l1) l0 = FoldrSym2 k1 k l1 l0 Source 

data FoldrSym2 l l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k k -> *) -> *) -> k -> TyFun [k] k -> *) (FoldrSym2 k k) Source 
type Apply k1 [k] (FoldrSym2 k k1 l1 l2) l0 = FoldrSym3 k k1 l1 l2 l0 Source 

type FoldrSym3 t t t = Foldr t t t Source

data Foldr1Sym0 l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun k (TyFun k k -> *) -> *) (TyFun [k] k -> *) -> *) (Foldr1Sym0 k) Source 
type Apply (TyFun [k] k -> *) (TyFun k (TyFun k k -> *) -> *) (Foldr1Sym0 k) l0 = Foldr1Sym1 k l0 Source 

data Foldr1Sym1 l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k k -> *) -> *) -> TyFun [k] k -> *) (Foldr1Sym1 k) Source 
type Apply k [k] (Foldr1Sym1 k l1) l0 = Foldr1Sym2 k l1 l0 Source 

type Foldr1Sym2 t t = Foldr1 t t Source

data ConcatSym0 l Source

Instances

SuppressUnusedWarnings (TyFun [[k]] [k] -> *) (ConcatSym0 k) Source 
type Apply [k] [[k]] (ConcatSym0 k) l0 = ConcatSym1 k l0 Source 

type ConcatSym1 t = Concat t Source

data ConcatMapSym0 l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun k [k] -> *) (TyFun [k] [k] -> *) -> *) (ConcatMapSym0 k k) Source 
type Apply (TyFun [k] [k1] -> *) (TyFun k [k1] -> *) (ConcatMapSym0 k k1) l0 = ConcatMapSym1 k k1 l0 Source 

data ConcatMapSym1 l l Source

Instances

SuppressUnusedWarnings ((TyFun k [k] -> *) -> TyFun [k] [k] -> *) (ConcatMapSym1 k k) Source 
type Apply [k1] [k] (ConcatMapSym1 k k1 l1) l0 = ConcatMapSym2 k k1 l1 l0 Source 

type ConcatMapSym2 t t = ConcatMap t t Source

data AndSym0 l Source

Instances

type AndSym1 t = And t Source

data OrSym0 l Source

Instances

type OrSym1 t = Or t Source

data Any_Sym0 l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun k Bool -> *) (TyFun [k] Bool -> *) -> *) (Any_Sym0 k) Source 
type Apply (TyFun [k] Bool -> *) (TyFun k Bool -> *) (Any_Sym0 k) l0 = Any_Sym1 k l0 Source 

data Any_Sym1 l l Source

Instances

SuppressUnusedWarnings ((TyFun k Bool -> *) -> TyFun [k] Bool -> *) (Any_Sym1 k) Source 
type Apply Bool [k] (Any_Sym1 k l1) l0 = Any_Sym2 k l1 l0 Source 

type Any_Sym2 t t = Any_ t t Source

data AllSym0 l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun k Bool -> *) (TyFun [k] Bool -> *) -> *) (AllSym0 k) Source 
type Apply (TyFun [k] Bool -> *) (TyFun k Bool -> *) (AllSym0 k) l0 = AllSym1 k l0 Source 

data AllSym1 l l Source

Instances

SuppressUnusedWarnings ((TyFun k Bool -> *) -> TyFun [k] Bool -> *) (AllSym1 k) Source 
type Apply Bool [k] (AllSym1 k l1) l0 = AllSym2 k l1 l0 Source 

type AllSym2 t t = All t t Source

data ScanlSym0 l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun k (TyFun k k -> *) -> *) (TyFun k (TyFun [k] [k] -> *) -> *) -> *) (ScanlSym0 k k) Source 
type Apply (TyFun k (TyFun [k1] [k] -> *) -> *) (TyFun k (TyFun k1 k -> *) -> *) (ScanlSym0 k k1) l0 = ScanlSym1 k k1 l0 Source 

data ScanlSym1 l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k k -> *) -> *) -> TyFun k (TyFun [k] [k] -> *) -> *) (ScanlSym1 k k) Source 
type Apply (TyFun [k1] [k] -> *) k (ScanlSym1 k k1 l1) l0 = ScanlSym2 k k1 l1 l0 Source 

data ScanlSym2 l l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k k -> *) -> *) -> k -> TyFun [k] [k] -> *) (ScanlSym2 k k) Source 
type Apply [k] [k1] (ScanlSym2 k k1 l1 l2) l0 = ScanlSym3 k k1 l1 l2 l0 Source 

type ScanlSym3 t t t = Scanl t t t Source

data Scanl1Sym0 l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun k (TyFun k k -> *) -> *) (TyFun [k] [k] -> *) -> *) (Scanl1Sym0 k) Source 
type Apply (TyFun [k] [k] -> *) (TyFun k (TyFun k k -> *) -> *) (Scanl1Sym0 k) l0 = Scanl1Sym1 k l0 Source 

data Scanl1Sym1 l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k k -> *) -> *) -> TyFun [k] [k] -> *) (Scanl1Sym1 k) Source 
type Apply [k] [k] (Scanl1Sym1 k l1) l0 = Scanl1Sym2 k l1 l0 Source 

type Scanl1Sym2 t t = Scanl1 t t Source

data ScanrSym0 l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun k (TyFun k k -> *) -> *) (TyFun k (TyFun [k] [k] -> *) -> *) -> *) (ScanrSym0 k k) Source 
type Apply (TyFun k1 (TyFun [k] [k1] -> *) -> *) (TyFun k (TyFun k1 k1 -> *) -> *) (ScanrSym0 k k1) l0 = ScanrSym1 k k1 l0 Source 

data ScanrSym1 l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k k -> *) -> *) -> TyFun k (TyFun [k] [k] -> *) -> *) (ScanrSym1 k k) Source 
type Apply (TyFun [k1] [k] -> *) k (ScanrSym1 k1 k l1) l0 = ScanrSym2 k1 k l1 l0 Source 

data ScanrSym2 l l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k k -> *) -> *) -> k -> TyFun [k] [k] -> *) (ScanrSym2 k k) Source 
type Apply [k1] [k] (ScanrSym2 k k1 l1 l2) l0 = ScanrSym3 k k1 l1 l2 l0 Source 

type ScanrSym3 t t t = Scanr t t t Source

data Scanr1Sym0 l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun k (TyFun k k -> *) -> *) (TyFun [k] [k] -> *) -> *) (Scanr1Sym0 k) Source 
type Apply (TyFun [k] [k] -> *) (TyFun k (TyFun k k -> *) -> *) (Scanr1Sym0 k) l0 = Scanr1Sym1 k l0 Source 

data Scanr1Sym1 l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k k -> *) -> *) -> TyFun [k] [k] -> *) (Scanr1Sym1 k) Source 
type Apply [k] [k] (Scanr1Sym1 k l1) l0 = Scanr1Sym2 k l1 l0 Source 

type Scanr1Sym2 t t = Scanr1 t t Source

data ElemSym0 l Source

Instances

SuppressUnusedWarnings (TyFun k (TyFun [k] Bool -> *) -> *) (ElemSym0 k) Source 
type Apply (TyFun [k] Bool -> *) k (ElemSym0 k) l0 = ElemSym1 k l0 Source 

data ElemSym1 l l Source

Instances

SuppressUnusedWarnings (k -> TyFun [k] Bool -> *) (ElemSym1 k) Source 
type Apply Bool [k] (ElemSym1 k l1) l0 = ElemSym2 k l1 l0 Source 

type ElemSym2 t t = Elem t t Source

data NotElemSym0 l Source

Instances

SuppressUnusedWarnings (TyFun k (TyFun [k] Bool -> *) -> *) (NotElemSym0 k) Source 
type Apply (TyFun [k] Bool -> *) k (NotElemSym0 k) l0 = NotElemSym1 k l0 Source 

data NotElemSym1 l l Source

Instances

SuppressUnusedWarnings (k -> TyFun [k] Bool -> *) (NotElemSym1 k) Source 
type Apply Bool [k] (NotElemSym1 k l1) l0 = NotElemSym2 k l1 l0 Source 

type NotElemSym2 t t = NotElem t t Source

data ZipSym0 l Source

Instances

SuppressUnusedWarnings (TyFun [k] (TyFun [k] [(,) k k] -> *) -> *) (ZipSym0 k k) Source 
type Apply (TyFun [k1] [(,) k k1] -> *) [k] (ZipSym0 k k1) l0 = ZipSym1 k k1 l0 Source 

data ZipSym1 l l Source

Instances

SuppressUnusedWarnings ([k] -> TyFun [k] [(,) k k] -> *) (ZipSym1 k k) Source 
type Apply [(,) k1 k] [k] (ZipSym1 k1 k l1) l0 = ZipSym2 k1 k l1 l0 Source 

type ZipSym2 t t = Zip t t Source

data Zip3Sym0 l Source

Instances

SuppressUnusedWarnings (TyFun [k] (TyFun [k] (TyFun [k] [(,,) k k k] -> *) -> *) -> *) (Zip3Sym0 k k k) Source 
type Apply (TyFun [k1] (TyFun [k2] [(,,) k k1 k2] -> *) -> *) [k] (Zip3Sym0 k k1 k2) l0 = Zip3Sym1 k k1 k2 l0 Source 

data Zip3Sym1 l l Source

Instances

SuppressUnusedWarnings ([k] -> TyFun [k] (TyFun [k] [(,,) k k k] -> *) -> *) (Zip3Sym1 k k k) Source 
type Apply (TyFun [k1] [(,,) k2 k k1] -> *) [k] (Zip3Sym1 k2 k k1 l1) l0 = Zip3Sym2 k2 k k1 l1 l0 Source 

data Zip3Sym2 l l l Source

Instances

SuppressUnusedWarnings ([k] -> [k] -> TyFun [k] [(,,) k k k] -> *) (Zip3Sym2 k k k) Source 
type Apply [(,,) k1 k2 k] [k] (Zip3Sym2 k1 k2 k l1 l2) l0 = Zip3Sym3 k1 k2 k l1 l2 l0 Source 

type Zip3Sym3 t t t = Zip3 t t t Source

data ZipWithSym0 l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun k (TyFun k k -> *) -> *) (TyFun [k] (TyFun [k] [k] -> *) -> *) -> *) (ZipWithSym0 k k k) Source 
type Apply (TyFun [k] (TyFun [k1] [k2] -> *) -> *) (TyFun k (TyFun k1 k2 -> *) -> *) (ZipWithSym0 k k1 k2) l0 = ZipWithSym1 k k1 k2 l0 Source 

data ZipWithSym1 l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k k -> *) -> *) -> TyFun [k] (TyFun [k] [k] -> *) -> *) (ZipWithSym1 k k k) Source 
type Apply (TyFun [k1] [k2] -> *) [k] (ZipWithSym1 k k1 k2 l1) l0 = ZipWithSym2 k k1 k2 l1 l0 Source 

data ZipWithSym2 l l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k k -> *) -> *) -> [k] -> TyFun [k] [k] -> *) (ZipWithSym2 k k k) Source 
type Apply [k2] [k1] (ZipWithSym2 k k1 k2 l1 l2) l0 = ZipWithSym3 k k1 k2 l1 l2 l0 Source 

type ZipWithSym3 t t t = ZipWith t t t Source

data ZipWith3Sym0 l Source

Instances

SuppressUnusedWarnings (TyFun (TyFun k (TyFun k (TyFun k k -> *) -> *) -> *) (TyFun [k] (TyFun [k] (TyFun [k] [k] -> *) -> *) -> *) -> *) (ZipWith3Sym0 k k k k) Source 
type Apply (TyFun [k] (TyFun [k1] (TyFun [k2] [k3] -> *) -> *) -> *) (TyFun k (TyFun k1 (TyFun k2 k3 -> *) -> *) -> *) (ZipWith3Sym0 k k1 k2 k3) l0 = ZipWith3Sym1 k k1 k2 k3 l0 Source 

data ZipWith3Sym1 l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k (TyFun k k -> *) -> *) -> *) -> TyFun [k] (TyFun [k] (TyFun [k] [k] -> *) -> *) -> *) (ZipWith3Sym1 k k k k) Source 
type Apply (TyFun [k1] (TyFun [k2] [k3] -> *) -> *) [k] (ZipWith3Sym1 k k1 k2 k3 l1) l0 = ZipWith3Sym2 k k1 k2 k3 l1 l0 Source 

data ZipWith3Sym2 l l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k (TyFun k k -> *) -> *) -> *) -> [k] -> TyFun [k] (TyFun [k] [k] -> *) -> *) (ZipWith3Sym2 k k k k) Source 
type Apply (TyFun [k2] [k3] -> *) [k1] (ZipWith3Sym2 k k1 k2 k3 l1 l2) l0 = ZipWith3Sym3 k k1 k2 k3 l1 l2 l0 Source 

data ZipWith3Sym3 l l l l Source

Instances

SuppressUnusedWarnings ((TyFun k (TyFun k (TyFun k k -> *) -> *) -> *) -> [k] -> [k] -> TyFun [k] [k] -> *) (ZipWith3Sym3 k k k k) Source 
type Apply [k3] [k2] (ZipWith3Sym3 k k1 k2 k3 l1 l2 l3) l0 = ZipWith3Sym4 k k1 k2 k3 l1 l2 l3 l0 Source 

data UnzipSym0 l Source

Instances

SuppressUnusedWarnings (TyFun [(,) k k] ((,) [k] [k]) -> *) (UnzipSym0 k k) Source 
type Apply ((,) [k] [k1]) [(,) k k1] (UnzipSym0 k k1) l0 = UnzipSym1 k k1 l0 Source 

type UnzipSym1 t = Unzip t Source