singletons-2.4.1: A framework for generating singleton types

Copyright(C) 2013-2014 Richard Eisenberg Jan Stolarek
LicenseBSD-style (see LICENSE)
MaintainerRichard Eisenberg (rae@cs.brynmawr.edu)
Stabilityexperimental
Portabilitynon-portable
Safe HaskellNone
LanguageHaskell2010

Data.Singletons.Prelude.List

Contents

Description

Defines functions and datatypes relating to the singleton for '[]', including a singletons version of a few of the definitions in Data.List.

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

Synopsis

The singleton for lists

data family Sing (a :: k) infixr 5 Source #

The singleton kind-indexed data family.

Instances
SDecide k => TestCoercion (Sing :: k -> *) # 
Instance details

Defined in Data.Singletons.Decide

Methods

testCoercion :: Sing a -> Sing b -> Maybe (Coercion a b) #

SDecide k => TestEquality (Sing :: k -> *) # 
Instance details

Defined in Data.Singletons.Decide

Methods

testEquality :: Sing a -> Sing b -> Maybe (a :~: b) #

Show (SSymbol s) # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> SSymbol s -> ShowS #

show :: SSymbol s -> String #

showList :: [SSymbol s] -> ShowS #

Show (SNat n) # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> SNat n -> ShowS #

show :: SNat n -> String #

showList :: [SNat n] -> ShowS #

Eq (Sing a) # 
Instance details

Defined in Data.Singletons.TypeRepStar

Methods

(==) :: Sing a -> Sing a -> Bool #

(/=) :: Sing a -> Sing a -> Bool #

Ord (Sing a) # 
Instance details

Defined in Data.Singletons.TypeRepStar

Methods

compare :: Sing a -> Sing a -> Ordering #

(<) :: Sing a -> Sing a -> Bool #

(<=) :: Sing a -> Sing a -> Bool #

(>) :: Sing a -> Sing a -> Bool #

(>=) :: Sing a -> Sing a -> Bool #

max :: Sing a -> Sing a -> Sing a #

min :: Sing a -> Sing a -> Sing a #

Show (Sing z) # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS #

show :: Sing z -> String #

showList :: [Sing z] -> ShowS #

(ShowSing a, ShowSing [a]) => Show (Sing z) # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS #

show :: Sing z -> String #

showList :: [Sing z] -> ShowS #

ShowSing a => Show (Sing z) # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS #

show :: Sing z -> String #

showList :: [Sing z] -> ShowS #

Show (Sing z) # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS #

show :: Sing z -> String #

showList :: [Sing z] -> ShowS #

(ShowSing a, ShowSing b) => Show (Sing z) # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS #

show :: Sing z -> String #

showList :: [Sing z] -> ShowS #

Show (Sing a) # 
Instance details

Defined in Data.Singletons.TypeRepStar

Methods

showsPrec :: Int -> Sing a -> ShowS #

show :: Sing a -> String #

showList :: [Sing a] -> ShowS #

Show (Sing z) # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS #

show :: Sing z -> String #

showList :: [Sing z] -> ShowS #

(ShowSing a, ShowSing b) => Show (Sing z) # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS #

show :: Sing z -> String #

showList :: [Sing z] -> ShowS #

(ShowSing a, ShowSing b, ShowSing c) => Show (Sing z) # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS #

show :: Sing z -> String #

showList :: [Sing z] -> ShowS #

(ShowSing a, ShowSing b, ShowSing c, ShowSing d) => Show (Sing z) # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS #

show :: Sing z -> String #

showList :: [Sing z] -> ShowS #

(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e) => Show (Sing z) # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS #

show :: Sing z -> String #

showList :: [Sing z] -> ShowS #

(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e, ShowSing f) => Show (Sing z) # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS #

show :: Sing z -> String #

showList :: [Sing z] -> ShowS #

(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e, ShowSing f, ShowSing g) => Show (Sing z) # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS #

show :: Sing z -> String #

showList :: [Sing z] -> ShowS #

Show (Sing z) # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS #

show :: Sing z -> String #

showList :: [Sing z] -> ShowS #

(ShowSing a, ShowSing [a]) => Show (Sing z) # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS #

show :: Sing z -> String #

showList :: [Sing z] -> ShowS #

data Sing (z :: Bool) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (z :: Bool) where
data Sing (z :: Ordering) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (z :: Ordering) where
data Sing (a :: Type) Source # 
Instance details

Defined in Data.Singletons.TypeRepStar

data Sing (a :: Type) = STypeRep (TypeRep a)
data Sing (n :: Nat) Source # 
Instance details

Defined in Data.Singletons.TypeLits.Internal

data Sing (n :: Nat) where
data Sing (n :: Symbol) Source # 
Instance details

Defined in Data.Singletons.TypeLits.Internal

data Sing (n :: Symbol) where
data Sing (z :: ()) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (z :: ()) where
data Sing (z :: Void) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (z :: Void)
data Sing (z :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (z :: [a]) where
data Sing (z :: Maybe a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (z :: Maybe a) where
data Sing (z :: NonEmpty a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (z :: NonEmpty a) where
data Sing (z :: Either a b) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (z :: Either a b) where
data Sing (z :: (a, b)) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (z :: (a, b)) where
data Sing (f :: k1 ~> k2) Source # 
Instance details

Defined in Data.Singletons.Internal

data Sing (f :: k1 ~> k2) = SLambda {}
data Sing (z :: (a, b, c)) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (z :: (a, b, c)) where
data Sing (z :: (a, b, c, d)) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (z :: (a, b, c, d)) where
data Sing (z :: (a, b, c, d, e)) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (z :: (a, b, c, d, e)) where
data Sing (z :: (a, b, c, d, e, f)) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (z :: (a, b, c, d, e, f)) where
data Sing (z :: (a, b, c, d, e, f, g)) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (z :: (a, b, c, d, e, f, g)) where

Though Haddock doesn't show it, the Sing instance above declares constructors

SNil  :: Sing '[]
SCons :: Sing (h :: k) -> Sing (t :: [k]) -> Sing (h ': t)

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

SList is a kind-restricted synonym for Sing: type SList (a :: [k]) = Sing a

Basic functions

type family (a :: [a]) ++ (a :: [a]) :: [a] where ... Source #

Equations

'[] ++ ys = ys 
((:) x xs) ++ ys = Apply (Apply (:@#@$) x) (Apply (Apply (++@#@$) xs) ys) 

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

type family Head (a :: [a]) :: a where ... Source #

Equations

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

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

type family Last (a :: [a]) :: a where ... Source #

Equations

Last '[] = Apply ErrorSym0 "Data.Singletons.List.last: empty list" 
Last '[x] = x 
Last ((:) _ ((:) x xs)) = Apply LastSym0 (Apply (Apply (:@#@$) x) xs) 

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

type family Tail (a :: [a]) :: [a] where ... Source #

Equations

Tail ((:) _ t) = t 
Tail '[] = Apply ErrorSym0 "Data.Singletons.List.tail: empty list" 

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

type family Init (a :: [a]) :: [a] where ... Source #

Equations

Init '[] = Apply ErrorSym0 "Data.Singletons.List.init: empty list" 
Init ((:) x xs) = Apply (Apply (Let6989586621679485154Init'Sym2 x xs) x) xs 

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

type family Null (a :: [a]) :: Bool where ... Source #

Equations

Null '[] = TrueSym0 
Null ((:) _ _) = FalseSym0 

sNull :: forall (t :: [a]). Sing t -> Sing (Apply NullSym0 t :: Bool) Source #

type family Length (a :: [a]) :: Nat where ... Source #

Equations

Length '[] = FromInteger 0 
Length ((:) _ xs) = Apply (Apply (+@#@$) (FromInteger 1)) (Apply LengthSym0 xs) 

sLength :: forall (t :: [a]). Sing t -> Sing (Apply LengthSym0 t :: Nat) Source #

List transformations

type family Map (a :: TyFun a b -> Type) (a :: [a]) :: [b] where ... Source #

Equations

Map _ '[] = '[] 
Map f ((:) x xs) = Apply (Apply (:@#@$) (Apply f x)) (Apply (Apply MapSym0 f) xs) 

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

type family Reverse (a :: [a]) :: [a] where ... Source #

Equations

Reverse l = Apply (Apply (Let6989586621679485055RevSym1 l) l) '[] 

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

type family Intersperse (a :: a) (a :: [a]) :: [a] where ... Source #

Equations

Intersperse _ '[] = '[] 
Intersperse sep ((:) x xs) = Apply (Apply (:@#@$) x) (Apply (Apply PrependToAllSym0 sep) xs) 

sIntersperse :: forall (t :: a) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply IntersperseSym0 t) t :: [a]) Source #

type family Intercalate (a :: [a]) (a :: [[a]]) :: [a] where ... Source #

Equations

Intercalate xs xss = Apply ConcatSym0 (Apply (Apply IntersperseSym0 xs) xss) 

sIntercalate :: forall (t :: [a]) (t :: [[a]]). Sing t -> Sing t -> Sing (Apply (Apply IntercalateSym0 t) t :: [a]) Source #

type family Transpose (a :: [[a]]) :: [[a]] where ... Source #

Equations

Transpose '[] = '[] 
Transpose ((:) '[] xss) = Apply TransposeSym0 xss 
Transpose ((:) ((:) x xs) xss) = Apply (Apply (:@#@$) (Apply (Apply (:@#@$) x) (Apply (Apply MapSym0 HeadSym0) xss))) (Apply TransposeSym0 (Apply (Apply (:@#@$) xs) (Apply (Apply MapSym0 TailSym0) xss))) 

sTranspose :: forall (t :: [[a]]). Sing t -> Sing (Apply TransposeSym0 t :: [[a]]) Source #

type family Subsequences (a :: [a]) :: [[a]] where ... Source #

Equations

Subsequences xs = Apply (Apply (:@#@$) '[]) (Apply NonEmptySubsequencesSym0 xs) 

sSubsequences :: forall (t :: [a]). Sing t -> Sing (Apply SubsequencesSym0 t :: [[a]]) Source #

type family Permutations (a :: [a]) :: [[a]] where ... Source #

Equations

Permutations xs0 = Apply (Apply (:@#@$) xs0) (Apply (Apply (Let6989586621679484629PermsSym1 xs0) xs0) '[]) 

sPermutations :: forall (t :: [a]). Sing t -> Sing (Apply PermutationsSym0 t :: [[a]]) Source #

Reducing lists (folds)

type family Foldl (a :: TyFun b (TyFun a b -> Type) -> Type) (a :: b) (a :: [a]) :: b where ... Source #

Equations

Foldl f z0 xs0 = Apply (Apply (Let6989586621679273532LgoSym3 f z0 xs0) z0) xs0 

sFoldl :: forall (t :: TyFun b (TyFun a b -> Type) -> Type) (t :: b) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t :: b) Source #

type family Foldl' (a :: TyFun b (TyFun a b -> Type) -> Type) (a :: b) (a :: [a]) :: b where ... Source #

Equations

Foldl' f z0 xs0 = Apply (Apply (Let6989586621679484546LgoSym3 f z0 xs0) z0) xs0 

sFoldl' :: forall (t :: TyFun b (TyFun a b -> Type) -> Type) (t :: b) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t :: b) Source #

type family Foldl1 (a :: TyFun a (TyFun a a -> Type) -> Type) (a :: [a]) :: a where ... Source #

Equations

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

sFoldl1 :: forall (t :: TyFun a (TyFun a a -> Type) -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t :: a) Source #

type family Foldl1' (a :: TyFun a (TyFun a a -> Type) -> Type) (a :: [a]) :: a where ... Source #

Equations

Foldl1' f ((:) x xs) = Apply (Apply (Apply Foldl'Sym0 f) x) xs 
Foldl1' _ '[] = Apply ErrorSym0 "Data.Singletons.List.foldl1': empty list" 

sFoldl1' :: forall (t :: TyFun a (TyFun a a -> Type) -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply Foldl1'Sym0 t) t :: a) Source #

type family Foldr (a :: TyFun a (TyFun b b -> Type) -> Type) (a :: b) (a :: [a]) :: b where ... Source #

Equations

Foldr k z a_6989586621679448737 = Apply (Let6989586621679448742GoSym3 k z a_6989586621679448737) a_6989586621679448737 

sFoldr :: forall (t :: TyFun a (TyFun b b -> Type) -> Type) (t :: b) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t :: b) Source #

type family Foldr1 (a :: TyFun a (TyFun a a -> Type) -> Type) (a :: [a]) :: a where ... Source #

Equations

Foldr1 _ '[x] = x 
Foldr1 f ((:) x ((:) wild_6989586621679473503 wild_6989586621679473505)) = Apply (Apply f x) (Apply (Apply Foldr1Sym0 f) (Let6989586621679484301XsSym4 f x wild_6989586621679473503 wild_6989586621679473505)) 
Foldr1 _ '[] = Apply ErrorSym0 "Data.Singletons.List.foldr1: empty list" 

sFoldr1 :: forall (t :: TyFun a (TyFun a a -> Type) -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t :: a) Source #

Special folds

type family Concat (a :: [[a]]) :: [a] where ... Source #

Equations

Concat a_6989586621679484280 = Apply (Apply (Apply FoldrSym0 (++@#@$)) '[]) a_6989586621679484280 

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

type family ConcatMap (a :: TyFun a [b] -> Type) (a :: [a]) :: [b] where ... Source #

Equations

ConcatMap f a_6989586621679484276 = Apply (Apply (Apply FoldrSym0 (Apply (Apply (.@#@$) (++@#@$)) f)) '[]) a_6989586621679484276 

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

type family And (a :: [Bool]) :: Bool where ... Source #

Equations

And '[] = TrueSym0 
And ((:) x xs) = Apply (Apply (&&@#@$) x) (Apply AndSym0 xs) 

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

type family Or (a :: [Bool]) :: Bool where ... Source #

Equations

Or '[] = FalseSym0 
Or ((:) x xs) = Apply (Apply (||@#@$) x) (Apply OrSym0 xs) 

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

type family Any (a :: TyFun a Bool -> Type) (a :: [a]) :: Bool where ... Source #

Equations

Any _ '[] = FalseSym0 
Any p ((:) x xs) = Apply (Apply (||@#@$) (Apply p x)) (Apply (Apply AnySym0 p) xs) 

sAny :: forall (t :: TyFun a Bool -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply AnySym0 t) t :: Bool) Source #

type family All (a :: TyFun a Bool -> Type) (a :: [a]) :: Bool where ... Source #

Equations

All _ '[] = TrueSym0 
All p ((:) x xs) = Apply (Apply (&&@#@$) (Apply p x)) (Apply (Apply AllSym0 p) xs) 

sAll :: forall (t :: TyFun a Bool -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply AllSym0 t) t :: Bool) Source #

type family Sum (a :: [a]) :: a where ... Source #

Equations

Sum l = Apply (Apply (Let6989586621679482351Sum'Sym1 l) l) (FromInteger 0) 

sSum :: forall (t :: [a]). SNum a => Sing t -> Sing (Apply SumSym0 t :: a) Source #

type family Product (a :: [a]) :: a where ... Source #

Equations

Product l = Apply (Apply (Let6989586621679482327ProdSym1 l) l) (FromInteger 1) 

sProduct :: forall (t :: [a]). SNum a => Sing t -> Sing (Apply ProductSym0 t :: a) Source #

type family Maximum (a :: [a]) :: a where ... Source #

Equations

Maximum '[] = Apply ErrorSym0 "Data.Singletons.List.maximum: empty list" 
Maximum ((:) wild_6989586621679473607 wild_6989586621679473609) = Apply (Apply Foldl1Sym0 MaxSym0) (Let6989586621679484506XsSym2 wild_6989586621679473607 wild_6989586621679473609) 

sMaximum :: forall (t :: [a]). SOrd a => Sing t -> Sing (Apply MaximumSym0 t :: a) Source #

type family Minimum (a :: [a]) :: a where ... Source #

Equations

Minimum '[] = Apply ErrorSym0 "Data.Singletons.List.minimum: empty list" 
Minimum ((:) wild_6989586621679473611 wild_6989586621679473613) = Apply (Apply Foldl1Sym0 MinSym0) (Let6989586621679484520XsSym2 wild_6989586621679473611 wild_6989586621679473613) 

sMinimum :: forall (t :: [a]). SOrd a => Sing t -> Sing (Apply MinimumSym0 t :: a) Source #

Building lists

Scans

type family Scanl (a :: TyFun b (TyFun a b -> Type) -> Type) (a :: b) (a :: [a]) :: [b] where ... Source #

Equations

Scanl f q ls = Apply (Apply (:@#@$) q) (Case_6989586621679484080 f q ls ls) 

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

type family Scanl1 (a :: TyFun a (TyFun a a -> Type) -> Type) (a :: [a]) :: [a] where ... Source #

Equations

Scanl1 f ((:) x xs) = Apply (Apply (Apply ScanlSym0 f) x) xs 
Scanl1 _ '[] = '[] 

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

type family Scanr (a :: TyFun a (TyFun b b -> Type) -> Type) (a :: b) (a :: [a]) :: [b] where ... Source #

Equations

Scanr _ q0 '[] = Apply (Apply (:@#@$) q0) '[] 
Scanr f q0 ((:) x xs) = Case_6989586621679484057 f q0 x xs (Let6989586621679484038Scrutinee_6989586621679473511Sym4 f q0 x xs) 

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

type family Scanr1 (a :: TyFun a (TyFun a a -> Type) -> Type) (a :: [a]) :: [a] where ... Source #

Equations

Scanr1 _ '[] = '[] 
Scanr1 _ '[x] = Apply (Apply (:@#@$) x) '[] 
Scanr1 f ((:) x ((:) wild_6989586621679473523 wild_6989586621679473525)) = Case_6989586621679484013 f x wild_6989586621679473523 wild_6989586621679473525 (Let6989586621679483994Scrutinee_6989586621679473517Sym4 f x wild_6989586621679473523 wild_6989586621679473525) 

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

Accumulating maps

type family MapAccumL (a :: TyFun acc (TyFun x (acc, y) -> Type) -> Type) (a :: acc) (a :: [x]) :: (acc, [y]) where ... Source #

Equations

MapAccumL _ s '[] = Apply (Apply Tuple2Sym0 s) '[] 
MapAccumL f s ((:) x xs) = Apply (Apply Tuple2Sym0 (Let6989586621679483824S''Sym4 f s x xs)) (Apply (Apply (:@#@$) (Let6989586621679483824YSym4 f s x xs)) (Let6989586621679483824YsSym4 f s x xs)) 

sMapAccumL :: forall (t :: TyFun acc (TyFun x (acc, y) -> Type) -> Type) (t :: acc) (t :: [x]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply MapAccumLSym0 t) t) t :: (acc, [y])) Source #

type family MapAccumR (a :: TyFun acc (TyFun x (acc, y) -> Type) -> Type) (a :: acc) (a :: [x]) :: (acc, [y]) where ... Source #

Equations

MapAccumR _ s '[] = Apply (Apply Tuple2Sym0 s) '[] 
MapAccumR f s ((:) x xs) = Apply (Apply Tuple2Sym0 (Let6989586621679483667S''Sym4 f s x xs)) (Apply (Apply (:@#@$) (Let6989586621679483667YSym4 f s x xs)) (Let6989586621679483667YsSym4 f s x xs)) 

sMapAccumR :: forall (t :: TyFun acc (TyFun x (acc, y) -> Type) -> Type) (t :: acc) (t :: [x]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply MapAccumRSym0 t) t) t :: (acc, [y])) Source #

Cyclical lists

type family Replicate (a :: Nat) (a :: a) :: [a] where ... Source #

Equations

Replicate n x = Case_6989586621679482314 n x (Let6989586621679482306Scrutinee_6989586621679473619Sym2 n x) 

sReplicate :: forall (t :: Nat) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply ReplicateSym0 t) t :: [a]) Source #

Unfolding

type family Unfoldr (a :: TyFun b (Maybe (a, b)) -> Type) (a :: b) :: [a] where ... Source #

Equations

Unfoldr f b = Case_6989586621679483642 f b (Let6989586621679483634Scrutinee_6989586621679473527Sym2 f b) 

sUnfoldr :: forall (t :: TyFun b (Maybe (a, b)) -> Type) (t :: b). Sing t -> Sing t -> Sing (Apply (Apply UnfoldrSym0 t) t :: [a]) Source #

Sublists

Extracting sublists

type family Take (a :: Nat) (a :: [a]) :: [a] where ... Source #

Equations

Take _ '[] = '[] 
Take n ((:) x xs) = Case_6989586621679482511 n x xs (Let6989586621679482498Scrutinee_6989586621679473603Sym3 n x xs) 

sTake :: forall (t :: Nat) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply TakeSym0 t) t :: [a]) Source #

type family Drop (a :: Nat) (a :: [a]) :: [a] where ... Source #

Equations

Drop _ '[] = '[] 
Drop n ((:) x xs) = Case_6989586621679482483 n x xs (Let6989586621679482470Scrutinee_6989586621679473605Sym3 n x xs) 

sDrop :: forall (t :: Nat) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply DropSym0 t) t :: [a]) Source #

type family SplitAt (a :: Nat) (a :: [a]) :: ([a], [a]) where ... Source #

Equations

SplitAt n xs = Apply (Apply Tuple2Sym0 (Apply (Apply TakeSym0 n) xs)) (Apply (Apply DropSym0 n) xs) 

sSplitAt :: forall (t :: Nat) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply SplitAtSym0 t) t :: ([a], [a])) Source #

type family TakeWhile (a :: TyFun a Bool -> Type) (a :: [a]) :: [a] where ... Source #

Equations

TakeWhile _ '[] = '[] 
TakeWhile p ((:) x xs) = Case_6989586621679482845 p x xs (Let6989586621679482832Scrutinee_6989586621679473593Sym3 p x xs) 

sTakeWhile :: forall (t :: TyFun a Bool -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply TakeWhileSym0 t) t :: [a]) Source #

type family DropWhile (a :: TyFun a Bool -> Type) (a :: [a]) :: [a] where ... Source #

Equations

DropWhile _ '[] = '[] 
DropWhile p ((:) x xs') = Case_6989586621679482817 p x xs' (Let6989586621679482804Scrutinee_6989586621679473595Sym3 p x xs') 

sDropWhile :: forall (t :: TyFun a Bool -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply DropWhileSym0 t) t :: [a]) Source #

type family DropWhileEnd (a :: TyFun a Bool -> Type) (a :: [a]) :: [a] where ... Source #

Equations

DropWhileEnd p a_6989586621679485098 = Apply (Apply (Apply FoldrSym0 (Apply (Apply Lambda_6989586621679485102Sym0 p) a_6989586621679485098)) '[]) a_6989586621679485098 

sDropWhileEnd :: forall (t :: TyFun a Bool -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply DropWhileEndSym0 t) t :: [a]) Source #

type family Span (a :: TyFun a Bool -> Type) (a :: [a]) :: ([a], [a]) where ... Source #

Equations

Span _ '[] = Apply (Apply Tuple2Sym0 Let6989586621679482627XsSym0) Let6989586621679482627XsSym0 
Span p ((:) x xs') = Case_6989586621679482657 p x xs' (Let6989586621679482644Scrutinee_6989586621679473599Sym3 p x xs') 

sSpan :: forall (t :: TyFun a Bool -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply SpanSym0 t) t :: ([a], [a])) Source #

type family Break (a :: TyFun a Bool -> Type) (a :: [a]) :: ([a], [a]) where ... Source #

Equations

Break _ '[] = Apply (Apply Tuple2Sym0 Let6989586621679482534XsSym0) Let6989586621679482534XsSym0 
Break p ((:) x xs') = Case_6989586621679482564 p x xs' (Let6989586621679482551Scrutinee_6989586621679473601Sym3 p x xs') 

sBreak :: forall (t :: TyFun a Bool -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply BreakSym0 t) t :: ([a], [a])) Source #

type family Group (a :: [a]) :: [[a]] where ... Source #

Equations

Group xs = Apply (Apply GroupBySym0 (==@#@$)) xs 

sGroup :: forall (t :: [a]). SEq a => Sing t -> Sing (Apply GroupSym0 t :: [[a]]) Source #

type family Inits (a :: [a]) :: [[a]] where ... Source #

Equations

Inits xs = Apply (Apply (:@#@$) '[]) (Case_6989586621679483618 xs xs) 

sInits :: forall (t :: [a]). Sing t -> Sing (Apply InitsSym0 t :: [[a]]) Source #

type family Tails (a :: [a]) :: [[a]] where ... Source #

Equations

Tails xs = Apply (Apply (:@#@$) xs) (Case_6989586621679483609 xs xs) 

sTails :: forall (t :: [a]). Sing t -> Sing (Apply TailsSym0 t :: [[a]]) Source #

Predicates

type family IsPrefixOf (a :: [a]) (a :: [a]) :: Bool where ... Source #

Equations

IsPrefixOf '[] '[] = TrueSym0 
IsPrefixOf '[] ((:) _ _) = TrueSym0 
IsPrefixOf ((:) _ _) '[] = FalseSym0 
IsPrefixOf ((:) x xs) ((:) y ys) = Apply (Apply (&&@#@$) (Apply (Apply (==@#@$) x) y)) (Apply (Apply IsPrefixOfSym0 xs) ys) 

sIsPrefixOf :: forall (t :: [a]) (t :: [a]). SEq a => Sing t -> Sing t -> Sing (Apply (Apply IsPrefixOfSym0 t) t :: Bool) Source #

type family IsSuffixOf (a :: [a]) (a :: [a]) :: Bool where ... Source #

sIsSuffixOf :: forall (t :: [a]) (t :: [a]). SEq a => Sing t -> Sing t -> Sing (Apply (Apply IsSuffixOfSym0 t) t :: Bool) Source #

type family IsInfixOf (a :: [a]) (a :: [a]) :: Bool where ... Source #

Equations

IsInfixOf needle haystack = Apply (Apply AnySym0 (Apply IsPrefixOfSym0 needle)) (Apply TailsSym0 haystack) 

sIsInfixOf :: forall (t :: [a]) (t :: [a]). SEq a => Sing t -> Sing t -> Sing (Apply (Apply IsInfixOfSym0 t) t :: Bool) Source #

Searching lists

Searching by equality

type family Elem (a :: a) (a :: [a]) :: Bool where ... infix 4 Source #

Equations

Elem _ '[] = FalseSym0 
Elem x ((:) y ys) = Apply (Apply (||@#@$) (Apply (Apply (==@#@$) x) y)) (Apply (Apply ElemSym0 x) ys) 

sElem :: forall (t :: a) (t :: [a]). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t :: Bool) infix 4 Source #

type family NotElem (a :: a) (a :: [a]) :: Bool where ... infix 4 Source #

Equations

NotElem _ '[] = TrueSym0 
NotElem x ((:) y ys) = Apply (Apply (&&@#@$) (Apply (Apply (/=@#@$) x) y)) (Apply (Apply NotElemSym0 x) ys) 

sNotElem :: forall (t :: a) (t :: [a]). SEq a => Sing t -> Sing t -> Sing (Apply (Apply NotElemSym0 t) t :: Bool) infix 4 Source #

type family Lookup (a :: a) (a :: [(a, b)]) :: Maybe b where ... Source #

Equations

Lookup _key '[] = NothingSym0 
Lookup key ((:) '(x, y) xys) = Case_6989586621679482455 key x y xys (Let6989586621679482436Scrutinee_6989586621679473615Sym4 key x y xys) 

sLookup :: forall (t :: a) (t :: [(a, b)]). SEq a => Sing t -> Sing t -> Sing (Apply (Apply LookupSym0 t) t :: Maybe b) Source #

Searching with a predicate

type family Find (a :: TyFun a Bool -> Type) (a :: [a]) :: Maybe a where ... Source #

Equations

Find p a_6989586621679482886 = Apply (Apply (Apply (.@#@$) ListToMaybeSym0) (Apply FilterSym0 p)) a_6989586621679482886 

sFind :: forall (t :: TyFun a Bool -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply FindSym0 t) t :: Maybe a) Source #

type family Filter (a :: TyFun a Bool -> Type) (a :: [a]) :: [a] where ... Source #

Equations

Filter _p '[] = '[] 
Filter p ((:) x xs) = Case_6989586621679482874 p x xs (Let6989586621679482861Scrutinee_6989586621679473581Sym3 p x xs) 

sFilter :: forall (t :: TyFun a Bool -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply FilterSym0 t) t :: [a]) Source #

type family Partition (a :: TyFun a Bool -> Type) (a :: [a]) :: ([a], [a]) where ... Source #

Equations

Partition p xs = Apply (Apply (Apply FoldrSym0 (Apply SelectSym0 p)) (Apply (Apply Tuple2Sym0 '[]) '[])) xs 

sPartition :: forall (t :: TyFun a Bool -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply PartitionSym0 t) t :: ([a], [a])) Source #

Indexing lists

type family (a :: [a]) !! (a :: Nat) :: a where ... Source #

Equations

'[] !! _ = Apply ErrorSym0 "Data.Singletons.List.!!: index too large" 
((:) x xs) !! n = Case_6989586621679482292 x xs n (Let6989586621679482279Scrutinee_6989586621679473621Sym3 x xs n) 

(%!!) :: forall (t :: [a]) (t :: Nat). Sing t -> Sing t -> Sing (Apply (Apply (!!@#@$) t) t :: a) infixl 9 Source #

type family ElemIndex (a :: a) (a :: [a]) :: Maybe Nat where ... Source #

Equations

ElemIndex x a_6989586621679483518 = Apply (Apply FindIndexSym0 (Apply (==@#@$) x)) a_6989586621679483518 

sElemIndex :: forall (t :: a) (t :: [a]). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemIndexSym0 t) t :: Maybe Nat) Source #

type family ElemIndices (a :: a) (a :: [a]) :: [Nat] where ... Source #

Equations

ElemIndices x a_6989586621679483492 = Apply (Apply FindIndicesSym0 (Apply (==@#@$) x)) a_6989586621679483492 

sElemIndices :: forall (t :: a) (t :: [a]). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemIndicesSym0 t) t :: [Nat]) Source #

type family FindIndex (a :: TyFun a Bool -> Type) (a :: [a]) :: Maybe Nat where ... Source #

Equations

FindIndex p a_6989586621679483505 = Apply (Apply (Apply (.@#@$) ListToMaybeSym0) (Apply FindIndicesSym0 p)) a_6989586621679483505 

sFindIndex :: forall (t :: TyFun a Bool -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply FindIndexSym0 t) t :: Maybe Nat) Source #

type family FindIndices (a :: TyFun a Bool -> Type) (a :: [a]) :: [Nat] where ... Source #

Equations

FindIndices p xs = Apply (Apply MapSym0 SndSym0) (Apply (Apply FilterSym0 (Apply (Apply Lambda_6989586621679483463Sym0 p) xs)) (Apply (Apply ZipSym0 xs) (Apply (Apply (Let6989586621679483440BuildListSym2 p xs) (FromInteger 0)) xs))) 

sFindIndices :: forall (t :: TyFun a Bool -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply FindIndicesSym0 t) t :: [Nat]) Source #

Zipping and unzipping lists

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

Equations

Zip ((:) x xs) ((:) y ys) = Apply (Apply (:@#@$) (Apply (Apply Tuple2Sym0 x) y)) (Apply (Apply ZipSym0 xs) ys) 
Zip '[] '[] = '[] 
Zip ((:) _ _) '[] = '[] 
Zip '[] ((:) _ _) = '[] 

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

type family Zip3 (a :: [a]) (a :: [b]) (a :: [c]) :: [(a, b, c)] where ... 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 '[] '[] ((:) _ _) = '[] 
Zip3 '[] ((:) _ _) '[] = '[] 
Zip3 '[] ((:) _ _) ((:) _ _) = '[] 
Zip3 ((:) _ _) '[] '[] = '[] 
Zip3 ((:) _ _) '[] ((:) _ _) = '[] 
Zip3 ((:) _ _) ((:) _ _) '[] = '[] 

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

type family ZipWith (a :: TyFun a (TyFun b c -> Type) -> Type) (a :: [a]) (a :: [b]) :: [c] where ... Source #

Equations

ZipWith f ((:) x xs) ((:) y ys) = Apply (Apply (:@#@$) (Apply (Apply f x) y)) (Apply (Apply (Apply ZipWithSym0 f) xs) ys) 
ZipWith _ '[] '[] = '[] 
ZipWith _ ((:) _ _) '[] = '[] 
ZipWith _ '[] ((:) _ _) = '[] 

sZipWith :: forall (t :: TyFun a (TyFun b c -> Type) -> Type) (t :: [a]) (t :: [b]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ZipWithSym0 t) t) t :: [c]) Source #

type family ZipWith3 (a :: TyFun a (TyFun b (TyFun c d -> Type) -> Type) -> Type) (a :: [a]) (a :: [b]) (a :: [c]) :: [d] where ... 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 _ '[] '[] '[] = '[] 
ZipWith3 _ '[] '[] ((:) _ _) = '[] 
ZipWith3 _ '[] ((:) _ _) '[] = '[] 
ZipWith3 _ '[] ((:) _ _) ((:) _ _) = '[] 
ZipWith3 _ ((:) _ _) '[] '[] = '[] 
ZipWith3 _ ((:) _ _) '[] ((:) _ _) = '[] 
ZipWith3 _ ((:) _ _) ((:) _ _) '[] = '[] 

sZipWith3 :: forall (t :: TyFun a (TyFun b (TyFun c d -> Type) -> Type) -> Type) (t :: [a]) (t :: [b]) (t :: [c]). 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)]) :: ([a], [b]) where ... Source #

Equations

Unzip xs = Apply (Apply (Apply FoldrSym0 (Apply Lambda_6989586621679483321Sym0 xs)) (Apply (Apply Tuple2Sym0 '[]) '[])) xs 

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

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

Equations

Unzip3 xs = Apply (Apply (Apply FoldrSym0 (Apply Lambda_6989586621679483289Sym0 xs)) (Apply (Apply (Apply Tuple3Sym0 '[]) '[]) '[])) xs 

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

type family Unzip4 (a :: [(a, b, c, d)]) :: ([a], [b], [c], [d]) where ... Source #

Equations

Unzip4 xs = Apply (Apply (Apply FoldrSym0 (Apply Lambda_6989586621679483255Sym0 xs)) (Apply (Apply (Apply (Apply Tuple4Sym0 '[]) '[]) '[]) '[])) xs 

sUnzip4 :: forall (t :: [(a, b, c, d)]). Sing t -> Sing (Apply Unzip4Sym0 t :: ([a], [b], [c], [d])) Source #

type family Unzip5 (a :: [(a, b, c, d, e)]) :: ([a], [b], [c], [d], [e]) where ... Source #

Equations

Unzip5 xs = Apply (Apply (Apply FoldrSym0 (Apply Lambda_6989586621679483219Sym0 xs)) (Apply (Apply (Apply (Apply (Apply Tuple5Sym0 '[]) '[]) '[]) '[]) '[])) xs 

sUnzip5 :: forall (t :: [(a, b, c, d, e)]). Sing t -> Sing (Apply Unzip5Sym0 t :: ([a], [b], [c], [d], [e])) Source #

type family Unzip6 (a :: [(a, b, c, d, e, f)]) :: ([a], [b], [c], [d], [e], [f]) where ... Source #

Equations

Unzip6 xs = Apply (Apply (Apply FoldrSym0 (Apply Lambda_6989586621679483181Sym0 xs)) (Apply (Apply (Apply (Apply (Apply (Apply Tuple6Sym0 '[]) '[]) '[]) '[]) '[]) '[])) xs 

sUnzip6 :: forall (t :: [(a, b, c, d, e, f)]). Sing t -> Sing (Apply Unzip6Sym0 t :: ([a], [b], [c], [d], [e], [f])) Source #

type family Unzip7 (a :: [(a, b, c, d, e, f, g)]) :: ([a], [b], [c], [d], [e], [f], [g]) where ... Source #

Equations

Unzip7 xs = Apply (Apply (Apply FoldrSym0 (Apply Lambda_6989586621679483141Sym0 xs)) (Apply (Apply (Apply (Apply (Apply (Apply (Apply Tuple7Sym0 '[]) '[]) '[]) '[]) '[]) '[]) '[])) xs 

sUnzip7 :: forall (t :: [(a, b, c, d, e, f, g)]). Sing t -> Sing (Apply Unzip7Sym0 t :: ([a], [b], [c], [d], [e], [f], [g])) Source #

Special lists

Functions on Symbols

type family Unlines (a :: [Symbol]) :: Symbol where ... Source #

Equations

Unlines '[] = "" 
Unlines ((:) l ls) = Apply (Apply (<>@#@$) l) (Apply (Apply (<>@#@$) "\n") (Apply UnlinesSym0 ls)) 

sUnlines :: forall (t :: [Symbol]). Sing t -> Sing (Apply UnlinesSym0 t :: Symbol) Source #

type family Unwords (a :: [Symbol]) :: Symbol where ... Source #

Equations

Unwords '[] = "" 
Unwords ((:) w ws) = Apply (Apply (<>@#@$) w) (Apply (Let6989586621679483114GoSym2 w ws) ws) 

sUnwords :: forall (t :: [Symbol]). Sing t -> Sing (Apply UnwordsSym0 t :: Symbol) Source #

"Set" operations

type family Nub (a :: [a]) :: [a] where ... Source #

Equations

Nub l = Apply (Apply (Let6989586621679483551Nub'Sym1 l) l) '[] 

sNub :: forall (t :: [a]). SEq a => Sing t -> Sing (Apply NubSym0 t :: [a]) Source #

type family Delete (a :: a) (a :: [a]) :: [a] where ... Source #

Equations

Delete a_6989586621679483078 a_6989586621679483080 = Apply (Apply (Apply DeleteBySym0 (==@#@$)) a_6989586621679483078) a_6989586621679483080 

sDelete :: forall (t :: a) (t :: [a]). SEq a => Sing t -> Sing t -> Sing (Apply (Apply DeleteSym0 t) t :: [a]) Source #

type family (a :: [a]) \\ (a :: [a]) :: [a] where ... Source #

Equations

a_6989586621679483093 \\ a_6989586621679483095 = Apply (Apply (Apply FoldlSym0 (Apply FlipSym0 DeleteSym0)) a_6989586621679483093) a_6989586621679483095 

(%\\) :: forall (t :: [a]) (t :: [a]). SEq a => Sing t -> Sing t -> Sing (Apply (Apply (\\@#@$) t) t :: [a]) infix 5 Source #

type family Union (a :: [a]) (a :: [a]) :: [a] where ... Source #

Equations

Union a_6989586621679483063 a_6989586621679483065 = Apply (Apply (Apply UnionBySym0 (==@#@$)) a_6989586621679483063) a_6989586621679483065 

sUnion :: forall (t :: [a]) (t :: [a]). SEq a => Sing t -> Sing t -> Sing (Apply (Apply UnionSym0 t) t :: [a]) Source #

type family Intersect (a :: [a]) (a :: [a]) :: [a] where ... Source #

Equations

Intersect a_6989586621679484228 a_6989586621679484230 = Apply (Apply (Apply IntersectBySym0 (==@#@$)) a_6989586621679484228) a_6989586621679484230 

sIntersect :: forall (t :: [a]) (t :: [a]). SEq a => Sing t -> Sing t -> Sing (Apply (Apply IntersectSym0 t) t :: [a]) Source #

Ordered lists

type family Insert (a :: a) (a :: [a]) :: [a] where ... Source #

Equations

Insert e ls = Apply (Apply (Apply InsertBySym0 CompareSym0) e) ls 

sInsert :: forall (t :: a) (t :: [a]). SOrd a => Sing t -> Sing t -> Sing (Apply (Apply InsertSym0 t) t :: [a]) Source #

type family Sort (a :: [a]) :: [a] where ... Source #

Equations

Sort a_6989586621679482975 = Apply (Apply SortBySym0 CompareSym0) a_6989586621679482975 

sSort :: forall (t :: [a]). SOrd a => Sing t -> Sing (Apply SortSym0 t :: [a]) Source #

Generalized functions

The "By" operations

User-supplied equality (replacing an Eq context)

The predicate is assumed to define an equivalence.

type family NubBy (a :: TyFun a (TyFun a Bool -> Type) -> Type) (a :: [a]) :: [a] where ... Source #

Equations

NubBy eq l = Apply (Apply (Let6989586621679482214NubBy'Sym2 eq l) l) '[] 

sNubBy :: forall (t :: TyFun a (TyFun a Bool -> Type) -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply NubBySym0 t) t :: [a]) Source #

type family DeleteBy (a :: TyFun a (TyFun a Bool -> Type) -> Type) (a :: a) (a :: [a]) :: [a] where ... Source #

Equations

DeleteBy _ _ '[] = '[] 
DeleteBy eq x ((:) y ys) = Case_6989586621679483020 eq x y ys (Let6989586621679483001Scrutinee_6989586621679473565Sym4 eq x y ys) 

sDeleteBy :: forall (t :: TyFun a (TyFun a Bool -> Type) -> Type) (t :: a) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply DeleteBySym0 t) t) t :: [a]) Source #

type family DeleteFirstsBy (a :: TyFun a (TyFun a Bool -> Type) -> Type) (a :: [a]) (a :: [a]) :: [a] where ... Source #

Equations

DeleteFirstsBy eq a_6989586621679483038 a_6989586621679483040 = Apply (Apply (Apply FoldlSym0 (Apply FlipSym0 (Apply DeleteBySym0 eq))) a_6989586621679483038) a_6989586621679483040 

sDeleteFirstsBy :: forall (t :: TyFun a (TyFun a Bool -> Type) -> Type) (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply DeleteFirstsBySym0 t) t) t :: [a]) Source #

type family UnionBy (a :: TyFun a (TyFun a Bool -> Type) -> Type) (a :: [a]) (a :: [a]) :: [a] where ... Source #

Equations

UnionBy eq xs ys = Apply (Apply (++@#@$) xs) (Apply (Apply (Apply FoldlSym0 (Apply FlipSym0 (Apply DeleteBySym0 eq))) (Apply (Apply NubBySym0 eq) ys)) xs) 

sUnionBy :: forall (t :: TyFun a (TyFun a Bool -> Type) -> Type) (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply UnionBySym0 t) t) t :: [a]) Source #

type family IntersectBy (a :: TyFun a (TyFun a Bool -> Type) -> Type) (a :: [a]) (a :: [a]) :: [a] where ... Source #

Equations

IntersectBy _ '[] '[] = '[] 
IntersectBy _ '[] ((:) _ _) = '[] 
IntersectBy _ ((:) _ _) '[] = '[] 
IntersectBy eq ((:) wild_6989586621679473585 wild_6989586621679473587) ((:) wild_6989586621679473589 wild_6989586621679473591) = Apply (Apply FilterSym0 (Apply (Apply (Apply (Apply (Apply Lambda_6989586621679484191Sym0 eq) wild_6989586621679473585) wild_6989586621679473587) wild_6989586621679473589) wild_6989586621679473591)) (Let6989586621679484140XsSym5 eq wild_6989586621679473585 wild_6989586621679473587 wild_6989586621679473589 wild_6989586621679473591) 

sIntersectBy :: forall (t :: TyFun a (TyFun a Bool -> Type) -> Type) (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply IntersectBySym0 t) t) t :: [a]) Source #

type family GroupBy (a :: TyFun a (TyFun a Bool -> Type) -> Type) (a :: [a]) :: [[a]] where ... Source #

Equations

GroupBy _ '[] = '[] 
GroupBy eq ((:) x xs) = Apply (Apply (:@#@$) (Apply (Apply (:@#@$) x) (Let6989586621679482723YsSym3 eq x xs))) (Apply (Apply GroupBySym0 eq) (Let6989586621679482723ZsSym3 eq x xs)) 

sGroupBy :: forall (t :: TyFun a (TyFun a Bool -> Type) -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply GroupBySym0 t) t :: [[a]]) Source #

User-supplied comparison (replacing an Ord context)

The function is assumed to define a total ordering.

type family SortBy (a :: TyFun a (TyFun a Ordering -> Type) -> Type) (a :: [a]) :: [a] where ... Source #

Equations

SortBy cmp a_6989586621679482971 = Apply (Apply (Apply FoldrSym0 (Apply InsertBySym0 cmp)) '[]) a_6989586621679482971 

sSortBy :: forall (t :: TyFun a (TyFun a Ordering -> Type) -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply SortBySym0 t) t :: [a]) Source #

type family InsertBy (a :: TyFun a (TyFun a Ordering -> Type) -> Type) (a :: a) (a :: [a]) :: [a] where ... Source #

Equations

InsertBy _ x '[] = Apply (Apply (:@#@$) x) '[] 
InsertBy cmp x ((:) y ys') = Case_6989586621679482948 cmp x y ys' (Let6989586621679482929Scrutinee_6989586621679473567Sym4 cmp x y ys') 

sInsertBy :: forall (t :: TyFun a (TyFun a Ordering -> Type) -> Type) (t :: a) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply InsertBySym0 t) t) t :: [a]) Source #

type family MaximumBy (a :: TyFun a (TyFun a Ordering -> Type) -> Type) (a :: [a]) :: a where ... Source #

Equations

MaximumBy _ '[] = Apply ErrorSym0 "Data.Singletons.List.maximumBy: empty list" 
MaximumBy cmp ((:) wild_6989586621679473571 wild_6989586621679473573) = Apply (Apply Foldl1Sym0 (Let6989586621679484357MaxBySym3 cmp wild_6989586621679473571 wild_6989586621679473573)) (Let6989586621679484344XsSym3 cmp wild_6989586621679473571 wild_6989586621679473573) 

sMaximumBy :: forall (t :: TyFun a (TyFun a Ordering -> Type) -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply MaximumBySym0 t) t :: a) Source #

type family MinimumBy (a :: TyFun a (TyFun a Ordering -> Type) -> Type) (a :: [a]) :: a where ... Source #

Equations

MinimumBy _ '[] = Apply ErrorSym0 "Data.Singletons.List.minimumBy: empty list" 
MinimumBy cmp ((:) wild_6989586621679473577 wild_6989586621679473579) = Apply (Apply Foldl1Sym0 (Let6989586621679484441MinBySym3 cmp wild_6989586621679473577 wild_6989586621679473579)) (Let6989586621679484428XsSym3 cmp wild_6989586621679473577 wild_6989586621679473579) 

sMinimumBy :: forall (t :: TyFun a (TyFun a Ordering -> Type) -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply MinimumBySym0 t) t :: a) Source #

The "generic" operations

The prefix `generic' indicates an overloaded function that is a generalized version of a Prelude function.

type family GenericLength (a :: [a]) :: i where ... Source #

sGenericLength :: forall (t :: [a]). SNum i => Sing t -> Sing (Apply GenericLengthSym0 t :: i) Source #

Defunctionalization symbols

type NilSym0 = '[] Source #

data (:@#@$) (l :: TyFun a3530822107858468865 (TyFun [a3530822107858468865] [a3530822107858468865] -> Type)) Source #

Instances
SuppressUnusedWarnings ((:@#@$) :: TyFun a3530822107858468865 (TyFun [a3530822107858468865] [a3530822107858468865] -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply ((:@#@$) :: TyFun a3530822107858468865 (TyFun [a3530822107858468865] [a3530822107858468865] -> Type) -> *) (l :: a3530822107858468865) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply ((:@#@$) :: TyFun a3530822107858468865 (TyFun [a3530822107858468865] [a3530822107858468865] -> Type) -> *) (l :: a3530822107858468865) = (:@#@$$) l

data (l :: a3530822107858468865) :@#@$$ (l :: TyFun [a3530822107858468865] [a3530822107858468865]) Source #

Instances
SuppressUnusedWarnings ((:@#@$$) :: a3530822107858468865 -> TyFun [a3530822107858468865] [a3530822107858468865] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply ((:@#@$$) l1 :: TyFun [a] [a] -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply ((:@#@$$) l1 :: TyFun [a] [a] -> *) (l2 :: [a]) = l1 ': l2

type (:@#@$$$) (t :: a3530822107858468865) (t :: [a3530822107858468865]) = (:) t t Source #

type (++@#@$$$) (t :: [a6989586621679448469]) (t :: [a6989586621679448469]) = (++) t t Source #

data (l :: [a6989586621679448469]) ++@#@$$ (l :: TyFun [a6989586621679448469] [a6989586621679448469]) Source #

Instances
SuppressUnusedWarnings ((++@#@$$) :: [a6989586621679448469] -> TyFun [a6989586621679448469] [a6989586621679448469] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Base

type Apply ((++@#@$$) l1 :: TyFun [a] [a] -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.Base

type Apply ((++@#@$$) l1 :: TyFun [a] [a] -> *) (l2 :: [a]) = l1 ++ l2

data (++@#@$) (l :: TyFun [a6989586621679448469] (TyFun [a6989586621679448469] [a6989586621679448469] -> Type)) Source #

Instances
SuppressUnusedWarnings ((++@#@$) :: TyFun [a6989586621679448469] (TyFun [a6989586621679448469] [a6989586621679448469] -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Base

type Apply ((++@#@$) :: TyFun [a6989586621679448469] (TyFun [a6989586621679448469] [a6989586621679448469] -> Type) -> *) (l :: [a6989586621679448469]) Source # 
Instance details

Defined in Data.Singletons.Prelude.Base

type Apply ((++@#@$) :: TyFun [a6989586621679448469] (TyFun [a6989586621679448469] [a6989586621679448469] -> Type) -> *) (l :: [a6989586621679448469]) = (++@#@$$) l

data HeadSym0 (l :: TyFun [a6989586621679473042] a6989586621679473042) Source #

Instances
SuppressUnusedWarnings (HeadSym0 :: TyFun [a6989586621679473042] a6989586621679473042 -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (HeadSym0 :: TyFun [a] a -> *) (l :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (HeadSym0 :: TyFun [a] a -> *) (l :: [a]) = Head l

type HeadSym1 (t :: [a6989586621679473042]) = Head t Source #

data LastSym0 (l :: TyFun [a6989586621679473041] a6989586621679473041) Source #

Instances
SuppressUnusedWarnings (LastSym0 :: TyFun [a6989586621679473041] a6989586621679473041 -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (LastSym0 :: TyFun [a] a -> *) (l :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (LastSym0 :: TyFun [a] a -> *) (l :: [a]) = Last l

type LastSym1 (t :: [a6989586621679473041]) = Last t Source #

data TailSym0 (l :: TyFun [a6989586621679473040] [a6989586621679473040]) Source #

Instances
SuppressUnusedWarnings (TailSym0 :: TyFun [a6989586621679473040] [a6989586621679473040] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (TailSym0 :: TyFun [a] [a] -> *) (l :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (TailSym0 :: TyFun [a] [a] -> *) (l :: [a]) = Tail l

type TailSym1 (t :: [a6989586621679473040]) = Tail t Source #

data InitSym0 (l :: TyFun [a6989586621679473039] [a6989586621679473039]) Source #

Instances
SuppressUnusedWarnings (InitSym0 :: TyFun [a6989586621679473039] [a6989586621679473039] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (InitSym0 :: TyFun [a] [a] -> *) (l :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (InitSym0 :: TyFun [a] [a] -> *) (l :: [a]) = Init l

type InitSym1 (t :: [a6989586621679473039]) = Init t Source #

data NullSym0 (l :: TyFun [a6989586621679473038] Bool) Source #

Instances
SuppressUnusedWarnings (NullSym0 :: TyFun [a6989586621679473038] Bool -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (NullSym0 :: TyFun [a] Bool -> *) (l :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (NullSym0 :: TyFun [a] Bool -> *) (l :: [a]) = Null l

type NullSym1 (t :: [a6989586621679473038]) = Null t Source #

data LengthSym0 (l :: TyFun [a6989586621679472924] Nat) Source #

Instances
SuppressUnusedWarnings (LengthSym0 :: TyFun [a6989586621679472924] Nat -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (LengthSym0 :: TyFun [a] Nat -> *) (l :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (LengthSym0 :: TyFun [a] Nat -> *) (l :: [a]) = Length l

type LengthSym1 (t :: [a6989586621679472924]) = Length t Source #

data MapSym0 (l :: TyFun (TyFun a6989586621679448470 b6989586621679448471 -> Type) (TyFun [a6989586621679448470] [b6989586621679448471] -> Type)) Source #

Instances
SuppressUnusedWarnings (MapSym0 :: TyFun (TyFun a6989586621679448470 b6989586621679448471 -> Type) (TyFun [a6989586621679448470] [b6989586621679448471] -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Base

type Apply (MapSym0 :: TyFun (TyFun a6989586621679448470 b6989586621679448471 -> Type) (TyFun [a6989586621679448470] [b6989586621679448471] -> Type) -> *) (l :: TyFun a6989586621679448470 b6989586621679448471 -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Base

type Apply (MapSym0 :: TyFun (TyFun a6989586621679448470 b6989586621679448471 -> Type) (TyFun [a6989586621679448470] [b6989586621679448471] -> Type) -> *) (l :: TyFun a6989586621679448470 b6989586621679448471 -> Type) = MapSym1 l

data MapSym1 (l :: TyFun a6989586621679448470 b6989586621679448471 -> Type) (l :: TyFun [a6989586621679448470] [b6989586621679448471]) Source #

Instances
SuppressUnusedWarnings (MapSym1 :: (TyFun a6989586621679448470 b6989586621679448471 -> Type) -> TyFun [a6989586621679448470] [b6989586621679448471] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Base

type Apply (MapSym1 l1 :: TyFun [a] [b] -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.Base

type Apply (MapSym1 l1 :: TyFun [a] [b] -> *) (l2 :: [a]) = Map l1 l2

type MapSym2 (t :: TyFun a6989586621679448470 b6989586621679448471 -> Type) (t :: [a6989586621679448470]) = Map t t Source #

data ReverseSym0 (l :: TyFun [a6989586621679473037] [a6989586621679473037]) Source #

Instances
SuppressUnusedWarnings (ReverseSym0 :: TyFun [a6989586621679473037] [a6989586621679473037] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ReverseSym0 :: TyFun [a] [a] -> *) (l :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ReverseSym0 :: TyFun [a] [a] -> *) (l :: [a]) = Reverse l

type ReverseSym1 (t :: [a6989586621679473037]) = Reverse t Source #

data IntersperseSym0 (l :: TyFun a6989586621679473036 (TyFun [a6989586621679473036] [a6989586621679473036] -> Type)) Source #

Instances
SuppressUnusedWarnings (IntersperseSym0 :: TyFun a6989586621679473036 (TyFun [a6989586621679473036] [a6989586621679473036] -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IntersperseSym0 :: TyFun a6989586621679473036 (TyFun [a6989586621679473036] [a6989586621679473036] -> Type) -> *) (l :: a6989586621679473036) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IntersperseSym0 :: TyFun a6989586621679473036 (TyFun [a6989586621679473036] [a6989586621679473036] -> Type) -> *) (l :: a6989586621679473036) = IntersperseSym1 l

data IntersperseSym1 (l :: a6989586621679473036) (l :: TyFun [a6989586621679473036] [a6989586621679473036]) Source #

Instances
SuppressUnusedWarnings (IntersperseSym1 :: a6989586621679473036 -> TyFun [a6989586621679473036] [a6989586621679473036] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IntersperseSym1 l1 :: TyFun [a] [a] -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IntersperseSym1 l1 :: TyFun [a] [a] -> *) (l2 :: [a]) = Intersperse l1 l2

type IntersperseSym2 (t :: a6989586621679473036) (t :: [a6989586621679473036]) = Intersperse t t Source #

data IntercalateSym0 (l :: TyFun [a6989586621679473035] (TyFun [[a6989586621679473035]] [a6989586621679473035] -> Type)) Source #

Instances
SuppressUnusedWarnings (IntercalateSym0 :: TyFun [a6989586621679473035] (TyFun [[a6989586621679473035]] [a6989586621679473035] -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IntercalateSym0 :: TyFun [a6989586621679473035] (TyFun [[a6989586621679473035]] [a6989586621679473035] -> Type) -> *) (l :: [a6989586621679473035]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IntercalateSym0 :: TyFun [a6989586621679473035] (TyFun [[a6989586621679473035]] [a6989586621679473035] -> Type) -> *) (l :: [a6989586621679473035]) = IntercalateSym1 l

data IntercalateSym1 (l :: [a6989586621679473035]) (l :: TyFun [[a6989586621679473035]] [a6989586621679473035]) Source #

Instances
SuppressUnusedWarnings (IntercalateSym1 :: [a6989586621679473035] -> TyFun [[a6989586621679473035]] [a6989586621679473035] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IntercalateSym1 l1 :: TyFun [[a]] [a] -> *) (l2 :: [[a]]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IntercalateSym1 l1 :: TyFun [[a]] [a] -> *) (l2 :: [[a]]) = Intercalate l1 l2

type IntercalateSym2 (t :: [a6989586621679473035]) (t :: [[a6989586621679473035]]) = Intercalate t t Source #

data TransposeSym0 (l :: TyFun [[a6989586621679472922]] [[a6989586621679472922]]) Source #

Instances
SuppressUnusedWarnings (TransposeSym0 :: TyFun [[a6989586621679472922]] [[a6989586621679472922]] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (TransposeSym0 :: TyFun [[a]] [[a]] -> *) (l :: [[a]]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (TransposeSym0 :: TyFun [[a]] [[a]] -> *) (l :: [[a]]) = Transpose l

type TransposeSym1 (t :: [[a6989586621679472922]]) = Transpose t Source #

data SubsequencesSym0 (l :: TyFun [a6989586621679473034] [[a6989586621679473034]]) Source #

Instances
SuppressUnusedWarnings (SubsequencesSym0 :: TyFun [a6989586621679473034] [[a6989586621679473034]] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (SubsequencesSym0 :: TyFun [a] [[a]] -> *) (l :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (SubsequencesSym0 :: TyFun [a] [[a]] -> *) (l :: [a]) = Subsequences l

type SubsequencesSym1 (t :: [a6989586621679473034]) = Subsequences t Source #

data PermutationsSym0 (l :: TyFun [a6989586621679473031] [[a6989586621679473031]]) Source #

Instances
SuppressUnusedWarnings (PermutationsSym0 :: TyFun [a6989586621679473031] [[a6989586621679473031]] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (PermutationsSym0 :: TyFun [a] [[a]] -> *) (l :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (PermutationsSym0 :: TyFun [a] [[a]] -> *) (l :: [a]) = Permutations l

type PermutationsSym1 (t :: [a6989586621679473031]) = Permutations t Source #

data FoldlSym0 (l :: TyFun (TyFun b6989586621679273480 (TyFun a6989586621679273479 b6989586621679273480 -> Type) -> Type) (TyFun b6989586621679273480 (TyFun [a6989586621679273479] b6989586621679273480 -> Type) -> Type)) Source #

Instances
SuppressUnusedWarnings (FoldlSym0 :: TyFun (TyFun b6989586621679273480 (TyFun a6989586621679273479 b6989586621679273480 -> Type) -> Type) (TyFun b6989586621679273480 (TyFun [a6989586621679273479] b6989586621679273480 -> Type) -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply (FoldlSym0 :: TyFun (TyFun b6989586621679273480 (TyFun a6989586621679273479 b6989586621679273480 -> Type) -> Type) (TyFun b6989586621679273480 (TyFun [a6989586621679273479] b6989586621679273480 -> Type) -> Type) -> *) (l :: TyFun b6989586621679273480 (TyFun a6989586621679273479 b6989586621679273480 -> Type) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply (FoldlSym0 :: TyFun (TyFun b6989586621679273480 (TyFun a6989586621679273479 b6989586621679273480 -> Type) -> Type) (TyFun b6989586621679273480 (TyFun [a6989586621679273479] b6989586621679273480 -> Type) -> Type) -> *) (l :: TyFun b6989586621679273480 (TyFun a6989586621679273479 b6989586621679273480 -> Type) -> Type) = FoldlSym1 l

data FoldlSym1 (l :: TyFun b6989586621679273480 (TyFun a6989586621679273479 b6989586621679273480 -> Type) -> Type) (l :: TyFun b6989586621679273480 (TyFun [a6989586621679273479] b6989586621679273480 -> Type)) Source #

Instances
SuppressUnusedWarnings (FoldlSym1 :: (TyFun b6989586621679273480 (TyFun a6989586621679273479 b6989586621679273480 -> Type) -> Type) -> TyFun b6989586621679273480 (TyFun [a6989586621679273479] b6989586621679273480 -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply (FoldlSym1 l1 :: TyFun b6989586621679273480 (TyFun [a6989586621679273479] b6989586621679273480 -> Type) -> *) (l2 :: b6989586621679273480) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply (FoldlSym1 l1 :: TyFun b6989586621679273480 (TyFun [a6989586621679273479] b6989586621679273480 -> Type) -> *) (l2 :: b6989586621679273480) = FoldlSym2 l1 l2

data FoldlSym2 (l :: TyFun b6989586621679273480 (TyFun a6989586621679273479 b6989586621679273480 -> Type) -> Type) (l :: b6989586621679273480) (l :: TyFun [a6989586621679273479] b6989586621679273480) Source #

Instances
SuppressUnusedWarnings (FoldlSym2 :: (TyFun b6989586621679273480 (TyFun a6989586621679273479 b6989586621679273480 -> Type) -> Type) -> b6989586621679273480 -> TyFun [a6989586621679273479] b6989586621679273480 -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply (FoldlSym2 l1 l2 :: TyFun [a] b -> *) (l3 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply (FoldlSym2 l1 l2 :: TyFun [a] b -> *) (l3 :: [a]) = Foldl l1 l2 l3

type FoldlSym3 (t :: TyFun b6989586621679273480 (TyFun a6989586621679273479 b6989586621679273480 -> Type) -> Type) (t :: b6989586621679273480) (t :: [a6989586621679273479]) = Foldl t t t Source #

data Foldl'Sym0 (l :: TyFun (TyFun b6989586621679473030 (TyFun a6989586621679473029 b6989586621679473030 -> Type) -> Type) (TyFun b6989586621679473030 (TyFun [a6989586621679473029] b6989586621679473030 -> Type) -> Type)) Source #

Instances
SuppressUnusedWarnings (Foldl'Sym0 :: TyFun (TyFun b6989586621679473030 (TyFun a6989586621679473029 b6989586621679473030 -> Type) -> Type) (TyFun b6989586621679473030 (TyFun [a6989586621679473029] b6989586621679473030 -> Type) -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Foldl'Sym0 :: TyFun (TyFun b6989586621679473030 (TyFun a6989586621679473029 b6989586621679473030 -> Type) -> Type) (TyFun b6989586621679473030 (TyFun [a6989586621679473029] b6989586621679473030 -> Type) -> Type) -> *) (l :: TyFun b6989586621679473030 (TyFun a6989586621679473029 b6989586621679473030 -> Type) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Foldl'Sym0 :: TyFun (TyFun b6989586621679473030 (TyFun a6989586621679473029 b6989586621679473030 -> Type) -> Type) (TyFun b6989586621679473030 (TyFun [a6989586621679473029] b6989586621679473030 -> Type) -> Type) -> *) (l :: TyFun b6989586621679473030 (TyFun a6989586621679473029 b6989586621679473030 -> Type) -> Type) = Foldl'Sym1 l

data Foldl'Sym1 (l :: TyFun b6989586621679473030 (TyFun a6989586621679473029 b6989586621679473030 -> Type) -> Type) (l :: TyFun b6989586621679473030 (TyFun [a6989586621679473029] b6989586621679473030 -> Type)) Source #

Instances
SuppressUnusedWarnings (Foldl'Sym1 :: (TyFun b6989586621679473030 (TyFun a6989586621679473029 b6989586621679473030 -> Type) -> Type) -> TyFun b6989586621679473030 (TyFun [a6989586621679473029] b6989586621679473030 -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Foldl'Sym1 l1 :: TyFun b6989586621679473030 (TyFun [a6989586621679473029] b6989586621679473030 -> Type) -> *) (l2 :: b6989586621679473030) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Foldl'Sym1 l1 :: TyFun b6989586621679473030 (TyFun [a6989586621679473029] b6989586621679473030 -> Type) -> *) (l2 :: b6989586621679473030) = Foldl'Sym2 l1 l2

data Foldl'Sym2 (l :: TyFun b6989586621679473030 (TyFun a6989586621679473029 b6989586621679473030 -> Type) -> Type) (l :: b6989586621679473030) (l :: TyFun [a6989586621679473029] b6989586621679473030) Source #

Instances
SuppressUnusedWarnings (Foldl'Sym2 :: (TyFun b6989586621679473030 (TyFun a6989586621679473029 b6989586621679473030 -> Type) -> Type) -> b6989586621679473030 -> TyFun [a6989586621679473029] b6989586621679473030 -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Foldl'Sym2 l1 l2 :: TyFun [a] b -> *) (l3 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Foldl'Sym2 l1 l2 :: TyFun [a] b -> *) (l3 :: [a]) = Foldl' l1 l2 l3

type Foldl'Sym3 (t :: TyFun b6989586621679473030 (TyFun a6989586621679473029 b6989586621679473030 -> Type) -> Type) (t :: b6989586621679473030) (t :: [a6989586621679473029]) = Foldl' t t t Source #

data Foldl1Sym0 (l :: TyFun (TyFun a6989586621679473028 (TyFun a6989586621679473028 a6989586621679473028 -> Type) -> Type) (TyFun [a6989586621679473028] a6989586621679473028 -> Type)) Source #

Instances
SuppressUnusedWarnings (Foldl1Sym0 :: TyFun (TyFun a6989586621679473028 (TyFun a6989586621679473028 a6989586621679473028 -> Type) -> Type) (TyFun [a6989586621679473028] a6989586621679473028 -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Foldl1Sym0 :: TyFun (TyFun a6989586621679473028 (TyFun a6989586621679473028 a6989586621679473028 -> Type) -> Type) (TyFun [a6989586621679473028] a6989586621679473028 -> Type) -> *) (l :: TyFun a6989586621679473028 (TyFun a6989586621679473028 a6989586621679473028 -> Type) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Foldl1Sym0 :: TyFun (TyFun a6989586621679473028 (TyFun a6989586621679473028 a6989586621679473028 -> Type) -> Type) (TyFun [a6989586621679473028] a6989586621679473028 -> Type) -> *) (l :: TyFun a6989586621679473028 (TyFun a6989586621679473028 a6989586621679473028 -> Type) -> Type) = Foldl1Sym1 l

data Foldl1Sym1 (l :: TyFun a6989586621679473028 (TyFun a6989586621679473028 a6989586621679473028 -> Type) -> Type) (l :: TyFun [a6989586621679473028] a6989586621679473028) Source #

Instances
SuppressUnusedWarnings (Foldl1Sym1 :: (TyFun a6989586621679473028 (TyFun a6989586621679473028 a6989586621679473028 -> Type) -> Type) -> TyFun [a6989586621679473028] a6989586621679473028 -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Foldl1Sym1 l1 :: TyFun [a] a -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Foldl1Sym1 l1 :: TyFun [a] a -> *) (l2 :: [a]) = Foldl1 l1 l2

type Foldl1Sym2 (t :: TyFun a6989586621679473028 (TyFun a6989586621679473028 a6989586621679473028 -> Type) -> Type) (t :: [a6989586621679473028]) = Foldl1 t t Source #

data Foldl1'Sym0 (l :: TyFun (TyFun a6989586621679473027 (TyFun a6989586621679473027 a6989586621679473027 -> Type) -> Type) (TyFun [a6989586621679473027] a6989586621679473027 -> Type)) Source #

Instances
SuppressUnusedWarnings (Foldl1'Sym0 :: TyFun (TyFun a6989586621679473027 (TyFun a6989586621679473027 a6989586621679473027 -> Type) -> Type) (TyFun [a6989586621679473027] a6989586621679473027 -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Foldl1'Sym0 :: TyFun (TyFun a6989586621679473027 (TyFun a6989586621679473027 a6989586621679473027 -> Type) -> Type) (TyFun [a6989586621679473027] a6989586621679473027 -> Type) -> *) (l :: TyFun a6989586621679473027 (TyFun a6989586621679473027 a6989586621679473027 -> Type) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Foldl1'Sym0 :: TyFun (TyFun a6989586621679473027 (TyFun a6989586621679473027 a6989586621679473027 -> Type) -> Type) (TyFun [a6989586621679473027] a6989586621679473027 -> Type) -> *) (l :: TyFun a6989586621679473027 (TyFun a6989586621679473027 a6989586621679473027 -> Type) -> Type) = Foldl1'Sym1 l

data Foldl1'Sym1 (l :: TyFun a6989586621679473027 (TyFun a6989586621679473027 a6989586621679473027 -> Type) -> Type) (l :: TyFun [a6989586621679473027] a6989586621679473027) Source #

Instances
SuppressUnusedWarnings (Foldl1'Sym1 :: (TyFun a6989586621679473027 (TyFun a6989586621679473027 a6989586621679473027 -> Type) -> Type) -> TyFun [a6989586621679473027] a6989586621679473027 -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Foldl1'Sym1 l1 :: TyFun [a] a -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Foldl1'Sym1 l1 :: TyFun [a] a -> *) (l2 :: [a]) = Foldl1' l1 l2

type Foldl1'Sym2 (t :: TyFun a6989586621679473027 (TyFun a6989586621679473027 a6989586621679473027 -> Type) -> Type) (t :: [a6989586621679473027]) = Foldl1' t t Source #

data FoldrSym0 (l :: TyFun (TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) (TyFun b6989586621679448473 (TyFun [a6989586621679448472] b6989586621679448473 -> Type) -> Type)) Source #

Instances
SuppressUnusedWarnings (FoldrSym0 :: TyFun (TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) (TyFun b6989586621679448473 (TyFun [a6989586621679448472] b6989586621679448473 -> Type) -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Base

type Apply (FoldrSym0 :: TyFun (TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) (TyFun b6989586621679448473 (TyFun [a6989586621679448472] b6989586621679448473 -> Type) -> Type) -> *) (l :: TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Base

type Apply (FoldrSym0 :: TyFun (TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) (TyFun b6989586621679448473 (TyFun [a6989586621679448472] b6989586621679448473 -> Type) -> Type) -> *) (l :: TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) = FoldrSym1 l

data FoldrSym1 (l :: TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) (l :: TyFun b6989586621679448473 (TyFun [a6989586621679448472] b6989586621679448473 -> Type)) Source #

Instances
SuppressUnusedWarnings (FoldrSym1 :: (TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) -> TyFun b6989586621679448473 (TyFun [a6989586621679448472] b6989586621679448473 -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Base

type Apply (FoldrSym1 l1 :: TyFun b6989586621679448473 (TyFun [a6989586621679448472] b6989586621679448473 -> Type) -> *) (l2 :: b6989586621679448473) Source # 
Instance details

Defined in Data.Singletons.Prelude.Base

type Apply (FoldrSym1 l1 :: TyFun b6989586621679448473 (TyFun [a6989586621679448472] b6989586621679448473 -> Type) -> *) (l2 :: b6989586621679448473) = FoldrSym2 l1 l2

data FoldrSym2 (l :: TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) (l :: b6989586621679448473) (l :: TyFun [a6989586621679448472] b6989586621679448473) Source #

Instances
SuppressUnusedWarnings (FoldrSym2 :: (TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) -> b6989586621679448473 -> TyFun [a6989586621679448472] b6989586621679448473 -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Base

type Apply (FoldrSym2 l1 l2 :: TyFun [a] b -> *) (l3 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.Base

type Apply (FoldrSym2 l1 l2 :: TyFun [a] b -> *) (l3 :: [a]) = Foldr l1 l2 l3

type FoldrSym3 (t :: TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) (t :: b6989586621679448473) (t :: [a6989586621679448472]) = Foldr t t t Source #

data Foldr1Sym0 (l :: TyFun (TyFun a6989586621679473026 (TyFun a6989586621679473026 a6989586621679473026 -> Type) -> Type) (TyFun [a6989586621679473026] a6989586621679473026 -> Type)) Source #

Instances
SuppressUnusedWarnings (Foldr1Sym0 :: TyFun (TyFun a6989586621679473026 (TyFun a6989586621679473026 a6989586621679473026 -> Type) -> Type) (TyFun [a6989586621679473026] a6989586621679473026 -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Foldr1Sym0 :: TyFun (TyFun a6989586621679473026 (TyFun a6989586621679473026 a6989586621679473026 -> Type) -> Type) (TyFun [a6989586621679473026] a6989586621679473026 -> Type) -> *) (l :: TyFun a6989586621679473026 (TyFun a6989586621679473026 a6989586621679473026 -> Type) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Foldr1Sym0 :: TyFun (TyFun a6989586621679473026 (TyFun a6989586621679473026 a6989586621679473026 -> Type) -> Type) (TyFun [a6989586621679473026] a6989586621679473026 -> Type) -> *) (l :: TyFun a6989586621679473026 (TyFun a6989586621679473026 a6989586621679473026 -> Type) -> Type) = Foldr1Sym1 l

data Foldr1Sym1 (l :: TyFun a6989586621679473026 (TyFun a6989586621679473026 a6989586621679473026 -> Type) -> Type) (l :: TyFun [a6989586621679473026] a6989586621679473026) Source #

Instances
SuppressUnusedWarnings (Foldr1Sym1 :: (TyFun a6989586621679473026 (TyFun a6989586621679473026 a6989586621679473026 -> Type) -> Type) -> TyFun [a6989586621679473026] a6989586621679473026 -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Foldr1Sym1 l1 :: TyFun [a] a -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Foldr1Sym1 l1 :: TyFun [a] a -> *) (l2 :: [a]) = Foldr1 l1 l2

type Foldr1Sym2 (t :: TyFun a6989586621679473026 (TyFun a6989586621679473026 a6989586621679473026 -> Type) -> Type) (t :: [a6989586621679473026]) = Foldr1 t t Source #

data ConcatSym0 (l :: TyFun [[a6989586621679473025]] [a6989586621679473025]) Source #

Instances
SuppressUnusedWarnings (ConcatSym0 :: TyFun [[a6989586621679473025]] [a6989586621679473025] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ConcatSym0 :: TyFun [[a]] [a] -> *) (l :: [[a]]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ConcatSym0 :: TyFun [[a]] [a] -> *) (l :: [[a]]) = Concat l

type ConcatSym1 (t :: [[a6989586621679473025]]) = Concat t Source #

data ConcatMapSym0 (l :: TyFun (TyFun a6989586621679473023 [b6989586621679473024] -> Type) (TyFun [a6989586621679473023] [b6989586621679473024] -> Type)) Source #

Instances
SuppressUnusedWarnings (ConcatMapSym0 :: TyFun (TyFun a6989586621679473023 [b6989586621679473024] -> Type) (TyFun [a6989586621679473023] [b6989586621679473024] -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ConcatMapSym0 :: TyFun (TyFun a6989586621679473023 [b6989586621679473024] -> Type) (TyFun [a6989586621679473023] [b6989586621679473024] -> Type) -> *) (l :: TyFun a6989586621679473023 [b6989586621679473024] -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ConcatMapSym0 :: TyFun (TyFun a6989586621679473023 [b6989586621679473024] -> Type) (TyFun [a6989586621679473023] [b6989586621679473024] -> Type) -> *) (l :: TyFun a6989586621679473023 [b6989586621679473024] -> Type) = ConcatMapSym1 l

data ConcatMapSym1 (l :: TyFun a6989586621679473023 [b6989586621679473024] -> Type) (l :: TyFun [a6989586621679473023] [b6989586621679473024]) Source #

Instances
SuppressUnusedWarnings (ConcatMapSym1 :: (TyFun a6989586621679473023 [b6989586621679473024] -> Type) -> TyFun [a6989586621679473023] [b6989586621679473024] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ConcatMapSym1 l1 :: TyFun [a] [b] -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ConcatMapSym1 l1 :: TyFun [a] [b] -> *) (l2 :: [a]) = ConcatMap l1 l2

type ConcatMapSym2 (t :: TyFun a6989586621679473023 [b6989586621679473024] -> Type) (t :: [a6989586621679473023]) = ConcatMap t t Source #

data AndSym0 (l :: TyFun [Bool] Bool) Source #

Instances
SuppressUnusedWarnings AndSym0 Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply AndSym0 (l :: [Bool]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply AndSym0 (l :: [Bool]) = And l

type AndSym1 (t :: [Bool]) = And t Source #

data OrSym0 (l :: TyFun [Bool] Bool) Source #

Instances
SuppressUnusedWarnings OrSym0 Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply OrSym0 (l :: [Bool]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply OrSym0 (l :: [Bool]) = Or l

type OrSym1 (t :: [Bool]) = Or t Source #

data AnySym0 (l :: TyFun (TyFun a6989586621679473021 Bool -> Type) (TyFun [a6989586621679473021] Bool -> Type)) Source #

Instances
SuppressUnusedWarnings (AnySym0 :: TyFun (TyFun a6989586621679473021 Bool -> Type) (TyFun [a6989586621679473021] Bool -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (AnySym0 :: TyFun (TyFun a6989586621679473021 Bool -> Type) (TyFun [a6989586621679473021] Bool -> Type) -> *) (l :: TyFun a6989586621679473021 Bool -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (AnySym0 :: TyFun (TyFun a6989586621679473021 Bool -> Type) (TyFun [a6989586621679473021] Bool -> Type) -> *) (l :: TyFun a6989586621679473021 Bool -> Type) = AnySym1 l

data AnySym1 (l :: TyFun a6989586621679473021 Bool -> Type) (l :: TyFun [a6989586621679473021] Bool) Source #

Instances
SuppressUnusedWarnings (AnySym1 :: (TyFun a6989586621679473021 Bool -> Type) -> TyFun [a6989586621679473021] Bool -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (AnySym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (AnySym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) = Any l1 l2

type AnySym2 (t :: TyFun a6989586621679473021 Bool -> Type) (t :: [a6989586621679473021]) = Any t t Source #

data AllSym0 (l :: TyFun (TyFun a6989586621679473022 Bool -> Type) (TyFun [a6989586621679473022] Bool -> Type)) Source #

Instances
SuppressUnusedWarnings (AllSym0 :: TyFun (TyFun a6989586621679473022 Bool -> Type) (TyFun [a6989586621679473022] Bool -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (AllSym0 :: TyFun (TyFun a6989586621679473022 Bool -> Type) (TyFun [a6989586621679473022] Bool -> Type) -> *) (l :: TyFun a6989586621679473022 Bool -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (AllSym0 :: TyFun (TyFun a6989586621679473022 Bool -> Type) (TyFun [a6989586621679473022] Bool -> Type) -> *) (l :: TyFun a6989586621679473022 Bool -> Type) = AllSym1 l

data AllSym1 (l :: TyFun a6989586621679473022 Bool -> Type) (l :: TyFun [a6989586621679473022] Bool) Source #

Instances
SuppressUnusedWarnings (AllSym1 :: (TyFun a6989586621679473022 Bool -> Type) -> TyFun [a6989586621679473022] Bool -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (AllSym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (AllSym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) = All l1 l2

type AllSym2 (t :: TyFun a6989586621679473022 Bool -> Type) (t :: [a6989586621679473022]) = All t t Source #

data SumSym0 (l :: TyFun [a6989586621679472926] a6989586621679472926) Source #

Instances
SuppressUnusedWarnings (SumSym0 :: TyFun [a6989586621679472926] a6989586621679472926 -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (SumSym0 :: TyFun [a] a -> *) (l :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (SumSym0 :: TyFun [a] a -> *) (l :: [a]) = Sum l

type SumSym1 (t :: [a6989586621679472926]) = Sum t Source #

data ProductSym0 (l :: TyFun [a6989586621679472925] a6989586621679472925) Source #

Instances
SuppressUnusedWarnings (ProductSym0 :: TyFun [a6989586621679472925] a6989586621679472925 -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ProductSym0 :: TyFun [a] a -> *) (l :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ProductSym0 :: TyFun [a] a -> *) (l :: [a]) = Product l

type ProductSym1 (t :: [a6989586621679472925]) = Product t Source #

data MaximumSym0 (l :: TyFun [a6989586621679472935] a6989586621679472935) Source #

Instances
SuppressUnusedWarnings (MaximumSym0 :: TyFun [a6989586621679472935] a6989586621679472935 -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (MaximumSym0 :: TyFun [a] a -> *) (l :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (MaximumSym0 :: TyFun [a] a -> *) (l :: [a]) = Maximum l

type MaximumSym1 (t :: [a6989586621679472935]) = Maximum t Source #

data MinimumSym0 (l :: TyFun [a6989586621679472934] a6989586621679472934) Source #

Instances
SuppressUnusedWarnings (MinimumSym0 :: TyFun [a6989586621679472934] a6989586621679472934 -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (MinimumSym0 :: TyFun [a] a -> *) (l :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (MinimumSym0 :: TyFun [a] a -> *) (l :: [a]) = Minimum l

type MinimumSym1 (t :: [a6989586621679472934]) = Minimum t Source #

data ScanlSym0 (l :: TyFun (TyFun b6989586621679473019 (TyFun a6989586621679473020 b6989586621679473019 -> Type) -> Type) (TyFun b6989586621679473019 (TyFun [a6989586621679473020] [b6989586621679473019] -> Type) -> Type)) Source #

Instances
SuppressUnusedWarnings (ScanlSym0 :: TyFun (TyFun b6989586621679473019 (TyFun a6989586621679473020 b6989586621679473019 -> Type) -> Type) (TyFun b6989586621679473019 (TyFun [a6989586621679473020] [b6989586621679473019] -> Type) -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ScanlSym0 :: TyFun (TyFun b6989586621679473019 (TyFun a6989586621679473020 b6989586621679473019 -> Type) -> Type) (TyFun b6989586621679473019 (TyFun [a6989586621679473020] [b6989586621679473019] -> Type) -> Type) -> *) (l :: TyFun b6989586621679473019 (TyFun a6989586621679473020 b6989586621679473019 -> Type) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ScanlSym0 :: TyFun (TyFun b6989586621679473019 (TyFun a6989586621679473020 b6989586621679473019 -> Type) -> Type) (TyFun b6989586621679473019 (TyFun [a6989586621679473020] [b6989586621679473019] -> Type) -> Type) -> *) (l :: TyFun b6989586621679473019 (TyFun a6989586621679473020 b6989586621679473019 -> Type) -> Type) = ScanlSym1 l

data ScanlSym1 (l :: TyFun b6989586621679473019 (TyFun a6989586621679473020 b6989586621679473019 -> Type) -> Type) (l :: TyFun b6989586621679473019 (TyFun [a6989586621679473020] [b6989586621679473019] -> Type)) Source #

Instances
SuppressUnusedWarnings (ScanlSym1 :: (TyFun b6989586621679473019 (TyFun a6989586621679473020 b6989586621679473019 -> Type) -> Type) -> TyFun b6989586621679473019 (TyFun [a6989586621679473020] [b6989586621679473019] -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ScanlSym1 l1 :: TyFun b6989586621679473019 (TyFun [a6989586621679473020] [b6989586621679473019] -> Type) -> *) (l2 :: b6989586621679473019) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ScanlSym1 l1 :: TyFun b6989586621679473019 (TyFun [a6989586621679473020] [b6989586621679473019] -> Type) -> *) (l2 :: b6989586621679473019) = ScanlSym2 l1 l2

data ScanlSym2 (l :: TyFun b6989586621679473019 (TyFun a6989586621679473020 b6989586621679473019 -> Type) -> Type) (l :: b6989586621679473019) (l :: TyFun [a6989586621679473020] [b6989586621679473019]) Source #

Instances
SuppressUnusedWarnings (ScanlSym2 :: (TyFun b6989586621679473019 (TyFun a6989586621679473020 b6989586621679473019 -> Type) -> Type) -> b6989586621679473019 -> TyFun [a6989586621679473020] [b6989586621679473019] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ScanlSym2 l1 l2 :: TyFun [a] [b] -> *) (l3 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ScanlSym2 l1 l2 :: TyFun [a] [b] -> *) (l3 :: [a]) = Scanl l1 l2 l3

type ScanlSym3 (t :: TyFun b6989586621679473019 (TyFun a6989586621679473020 b6989586621679473019 -> Type) -> Type) (t :: b6989586621679473019) (t :: [a6989586621679473020]) = Scanl t t t Source #

data Scanl1Sym0 (l :: TyFun (TyFun a6989586621679473018 (TyFun a6989586621679473018 a6989586621679473018 -> Type) -> Type) (TyFun [a6989586621679473018] [a6989586621679473018] -> Type)) Source #

Instances
SuppressUnusedWarnings (Scanl1Sym0 :: TyFun (TyFun a6989586621679473018 (TyFun a6989586621679473018 a6989586621679473018 -> Type) -> Type) (TyFun [a6989586621679473018] [a6989586621679473018] -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Scanl1Sym0 :: TyFun (TyFun a6989586621679473018 (TyFun a6989586621679473018 a6989586621679473018 -> Type) -> Type) (TyFun [a6989586621679473018] [a6989586621679473018] -> Type) -> *) (l :: TyFun a6989586621679473018 (TyFun a6989586621679473018 a6989586621679473018 -> Type) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Scanl1Sym0 :: TyFun (TyFun a6989586621679473018 (TyFun a6989586621679473018 a6989586621679473018 -> Type) -> Type) (TyFun [a6989586621679473018] [a6989586621679473018] -> Type) -> *) (l :: TyFun a6989586621679473018 (TyFun a6989586621679473018 a6989586621679473018 -> Type) -> Type) = Scanl1Sym1 l

data Scanl1Sym1 (l :: TyFun a6989586621679473018 (TyFun a6989586621679473018 a6989586621679473018 -> Type) -> Type) (l :: TyFun [a6989586621679473018] [a6989586621679473018]) Source #

Instances
SuppressUnusedWarnings (Scanl1Sym1 :: (TyFun a6989586621679473018 (TyFun a6989586621679473018 a6989586621679473018 -> Type) -> Type) -> TyFun [a6989586621679473018] [a6989586621679473018] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Scanl1Sym1 l1 :: TyFun [a] [a] -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Scanl1Sym1 l1 :: TyFun [a] [a] -> *) (l2 :: [a]) = Scanl1 l1 l2

type Scanl1Sym2 (t :: TyFun a6989586621679473018 (TyFun a6989586621679473018 a6989586621679473018 -> Type) -> Type) (t :: [a6989586621679473018]) = Scanl1 t t Source #

data ScanrSym0 (l :: TyFun (TyFun a6989586621679473016 (TyFun b6989586621679473017 b6989586621679473017 -> Type) -> Type) (TyFun b6989586621679473017 (TyFun [a6989586621679473016] [b6989586621679473017] -> Type) -> Type)) Source #

Instances
SuppressUnusedWarnings (ScanrSym0 :: TyFun (TyFun a6989586621679473016 (TyFun b6989586621679473017 b6989586621679473017 -> Type) -> Type) (TyFun b6989586621679473017 (TyFun [a6989586621679473016] [b6989586621679473017] -> Type) -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ScanrSym0 :: TyFun (TyFun a6989586621679473016 (TyFun b6989586621679473017 b6989586621679473017 -> Type) -> Type) (TyFun b6989586621679473017 (TyFun [a6989586621679473016] [b6989586621679473017] -> Type) -> Type) -> *) (l :: TyFun a6989586621679473016 (TyFun b6989586621679473017 b6989586621679473017 -> Type) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ScanrSym0 :: TyFun (TyFun a6989586621679473016 (TyFun b6989586621679473017 b6989586621679473017 -> Type) -> Type) (TyFun b6989586621679473017 (TyFun [a6989586621679473016] [b6989586621679473017] -> Type) -> Type) -> *) (l :: TyFun a6989586621679473016 (TyFun b6989586621679473017 b6989586621679473017 -> Type) -> Type) = ScanrSym1 l

data ScanrSym1 (l :: TyFun a6989586621679473016 (TyFun b6989586621679473017 b6989586621679473017 -> Type) -> Type) (l :: TyFun b6989586621679473017 (TyFun [a6989586621679473016] [b6989586621679473017] -> Type)) Source #

Instances
SuppressUnusedWarnings (ScanrSym1 :: (TyFun a6989586621679473016 (TyFun b6989586621679473017 b6989586621679473017 -> Type) -> Type) -> TyFun b6989586621679473017 (TyFun [a6989586621679473016] [b6989586621679473017] -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ScanrSym1 l1 :: TyFun b6989586621679473017 (TyFun [a6989586621679473016] [b6989586621679473017] -> Type) -> *) (l2 :: b6989586621679473017) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ScanrSym1 l1 :: TyFun b6989586621679473017 (TyFun [a6989586621679473016] [b6989586621679473017] -> Type) -> *) (l2 :: b6989586621679473017) = ScanrSym2 l1 l2

data ScanrSym2 (l :: TyFun a6989586621679473016 (TyFun b6989586621679473017 b6989586621679473017 -> Type) -> Type) (l :: b6989586621679473017) (l :: TyFun [a6989586621679473016] [b6989586621679473017]) Source #

Instances
SuppressUnusedWarnings (ScanrSym2 :: (TyFun a6989586621679473016 (TyFun b6989586621679473017 b6989586621679473017 -> Type) -> Type) -> b6989586621679473017 -> TyFun [a6989586621679473016] [b6989586621679473017] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ScanrSym2 l1 l2 :: TyFun [a] [b] -> *) (l3 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ScanrSym2 l1 l2 :: TyFun [a] [b] -> *) (l3 :: [a]) = Scanr l1 l2 l3

type ScanrSym3 (t :: TyFun a6989586621679473016 (TyFun b6989586621679473017 b6989586621679473017 -> Type) -> Type) (t :: b6989586621679473017) (t :: [a6989586621679473016]) = Scanr t t t Source #

data Scanr1Sym0 (l :: TyFun (TyFun a6989586621679473015 (TyFun a6989586621679473015 a6989586621679473015 -> Type) -> Type) (TyFun [a6989586621679473015] [a6989586621679473015] -> Type)) Source #

Instances
SuppressUnusedWarnings (Scanr1Sym0 :: TyFun (TyFun a6989586621679473015 (TyFun a6989586621679473015 a6989586621679473015 -> Type) -> Type) (TyFun [a6989586621679473015] [a6989586621679473015] -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Scanr1Sym0 :: TyFun (TyFun a6989586621679473015 (TyFun a6989586621679473015 a6989586621679473015 -> Type) -> Type) (TyFun [a6989586621679473015] [a6989586621679473015] -> Type) -> *) (l :: TyFun a6989586621679473015 (TyFun a6989586621679473015 a6989586621679473015 -> Type) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Scanr1Sym0 :: TyFun (TyFun a6989586621679473015 (TyFun a6989586621679473015 a6989586621679473015 -> Type) -> Type) (TyFun [a6989586621679473015] [a6989586621679473015] -> Type) -> *) (l :: TyFun a6989586621679473015 (TyFun a6989586621679473015 a6989586621679473015 -> Type) -> Type) = Scanr1Sym1 l

data Scanr1Sym1 (l :: TyFun a6989586621679473015 (TyFun a6989586621679473015 a6989586621679473015 -> Type) -> Type) (l :: TyFun [a6989586621679473015] [a6989586621679473015]) Source #

Instances
SuppressUnusedWarnings (Scanr1Sym1 :: (TyFun a6989586621679473015 (TyFun a6989586621679473015 a6989586621679473015 -> Type) -> Type) -> TyFun [a6989586621679473015] [a6989586621679473015] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Scanr1Sym1 l1 :: TyFun [a] [a] -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (Scanr1Sym1 l1 :: TyFun [a] [a] -> *) (l2 :: [a]) = Scanr1 l1 l2

type Scanr1Sym2 (t :: TyFun a6989586621679473015 (TyFun a6989586621679473015 a6989586621679473015 -> Type) -> Type) (t :: [a6989586621679473015]) = Scanr1 t t Source #

data MapAccumLSym0 (l :: TyFun (TyFun acc6989586621679473012 (TyFun x6989586621679473013 (acc6989586621679473012, y6989586621679473014) -> Type) -> Type) (TyFun acc6989586621679473012 (TyFun [x6989586621679473013] (acc6989586621679473012, [y6989586621679473014]) -> Type) -> Type)) Source #

Instances
SuppressUnusedWarnings (MapAccumLSym0 :: TyFun (TyFun acc6989586621679473012 (TyFun x6989586621679473013 (acc6989586621679473012, y6989586621679473014) -> Type) -> Type) (TyFun acc6989586621679473012 (TyFun [x6989586621679473013] (acc6989586621679473012, [y6989586621679473014]) -> Type) -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (MapAccumLSym0 :: TyFun (TyFun acc6989586621679473012 (TyFun x6989586621679473013 (acc6989586621679473012, y6989586621679473014) -> Type) -> Type) (TyFun acc6989586621679473012 (TyFun [x6989586621679473013] (acc6989586621679473012, [y6989586621679473014]) -> Type) -> Type) -> *) (l :: TyFun acc6989586621679473012 (TyFun x6989586621679473013 (acc6989586621679473012, y6989586621679473014) -> Type) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (MapAccumLSym0 :: TyFun (TyFun acc6989586621679473012 (TyFun x6989586621679473013 (acc6989586621679473012, y6989586621679473014) -> Type) -> Type) (TyFun acc6989586621679473012 (TyFun [x6989586621679473013] (acc6989586621679473012, [y6989586621679473014]) -> Type) -> Type) -> *) (l :: TyFun acc6989586621679473012 (TyFun x6989586621679473013 (acc6989586621679473012, y6989586621679473014) -> Type) -> Type) = MapAccumLSym1 l

data MapAccumLSym1 (l :: TyFun acc6989586621679473012 (TyFun x6989586621679473013 (acc6989586621679473012, y6989586621679473014) -> Type) -> Type) (l :: TyFun acc6989586621679473012 (TyFun [x6989586621679473013] (acc6989586621679473012, [y6989586621679473014]) -> Type)) Source #

Instances
SuppressUnusedWarnings (MapAccumLSym1 :: (TyFun acc6989586621679473012 (TyFun x6989586621679473013 (acc6989586621679473012, y6989586621679473014) -> Type) -> Type) -> TyFun acc6989586621679473012 (TyFun [x6989586621679473013] (acc6989586621679473012, [y6989586621679473014]) -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (MapAccumLSym1 l1 :: TyFun acc6989586621679473012 (TyFun [x6989586621679473013] (acc6989586621679473012, [y6989586621679473014]) -> Type) -> *) (l2 :: acc6989586621679473012) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (MapAccumLSym1 l1 :: TyFun acc6989586621679473012 (TyFun [x6989586621679473013] (acc6989586621679473012, [y6989586621679473014]) -> Type) -> *) (l2 :: acc6989586621679473012) = MapAccumLSym2 l1 l2

data MapAccumLSym2 (l :: TyFun acc6989586621679473012 (TyFun x6989586621679473013 (acc6989586621679473012, y6989586621679473014) -> Type) -> Type) (l :: acc6989586621679473012) (l :: TyFun [x6989586621679473013] (acc6989586621679473012, [y6989586621679473014])) Source #

Instances
SuppressUnusedWarnings (MapAccumLSym2 :: (TyFun acc6989586621679473012 (TyFun x6989586621679473013 (acc6989586621679473012, y6989586621679473014) -> Type) -> Type) -> acc6989586621679473012 -> TyFun [x6989586621679473013] (acc6989586621679473012, [y6989586621679473014]) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (MapAccumLSym2 l1 l2 :: TyFun [x] (acc, [y]) -> *) (l3 :: [x]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (MapAccumLSym2 l1 l2 :: TyFun [x] (acc, [y]) -> *) (l3 :: [x]) = MapAccumL l1 l2 l3

type MapAccumLSym3 (t :: TyFun acc6989586621679473012 (TyFun x6989586621679473013 (acc6989586621679473012, y6989586621679473014) -> Type) -> Type) (t :: acc6989586621679473012) (t :: [x6989586621679473013]) = MapAccumL t t t Source #

data MapAccumRSym0 (l :: TyFun (TyFun acc6989586621679473009 (TyFun x6989586621679473010 (acc6989586621679473009, y6989586621679473011) -> Type) -> Type) (TyFun acc6989586621679473009 (TyFun [x6989586621679473010] (acc6989586621679473009, [y6989586621679473011]) -> Type) -> Type)) Source #

Instances
SuppressUnusedWarnings (MapAccumRSym0 :: TyFun (TyFun acc6989586621679473009 (TyFun x6989586621679473010 (acc6989586621679473009, y6989586621679473011) -> Type) -> Type) (TyFun acc6989586621679473009 (TyFun [x6989586621679473010] (acc6989586621679473009, [y6989586621679473011]) -> Type) -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (MapAccumRSym0 :: TyFun (TyFun acc6989586621679473009 (TyFun x6989586621679473010 (acc6989586621679473009, y6989586621679473011) -> Type) -> Type) (TyFun acc6989586621679473009 (TyFun [x6989586621679473010] (acc6989586621679473009, [y6989586621679473011]) -> Type) -> Type) -> *) (l :: TyFun acc6989586621679473009 (TyFun x6989586621679473010 (acc6989586621679473009, y6989586621679473011) -> Type) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (MapAccumRSym0 :: TyFun (TyFun acc6989586621679473009 (TyFun x6989586621679473010 (acc6989586621679473009, y6989586621679473011) -> Type) -> Type) (TyFun acc6989586621679473009 (TyFun [x6989586621679473010] (acc6989586621679473009, [y6989586621679473011]) -> Type) -> Type) -> *) (l :: TyFun acc6989586621679473009 (TyFun x6989586621679473010 (acc6989586621679473009, y6989586621679473011) -> Type) -> Type) = MapAccumRSym1 l

data MapAccumRSym1 (l :: TyFun acc6989586621679473009 (TyFun x6989586621679473010 (acc6989586621679473009, y6989586621679473011) -> Type) -> Type) (l :: TyFun acc6989586621679473009 (TyFun [x6989586621679473010] (acc6989586621679473009, [y6989586621679473011]) -> Type)) Source #

Instances
SuppressUnusedWarnings (MapAccumRSym1 :: (TyFun acc6989586621679473009 (TyFun x6989586621679473010 (acc6989586621679473009, y6989586621679473011) -> Type) -> Type) -> TyFun acc6989586621679473009 (TyFun [x6989586621679473010] (acc6989586621679473009, [y6989586621679473011]) -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (MapAccumRSym1 l1 :: TyFun acc6989586621679473009 (TyFun [x6989586621679473010] (acc6989586621679473009, [y6989586621679473011]) -> Type) -> *) (l2 :: acc6989586621679473009) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (MapAccumRSym1 l1 :: TyFun acc6989586621679473009 (TyFun [x6989586621679473010] (acc6989586621679473009, [y6989586621679473011]) -> Type) -> *) (l2 :: acc6989586621679473009) = MapAccumRSym2 l1 l2

data MapAccumRSym2 (l :: TyFun acc6989586621679473009 (TyFun x6989586621679473010 (acc6989586621679473009, y6989586621679473011) -> Type) -> Type) (l :: acc6989586621679473009) (l :: TyFun [x6989586621679473010] (acc6989586621679473009, [y6989586621679473011])) Source #

Instances
SuppressUnusedWarnings (MapAccumRSym2 :: (TyFun acc6989586621679473009 (TyFun x6989586621679473010 (acc6989586621679473009, y6989586621679473011) -> Type) -> Type) -> acc6989586621679473009 -> TyFun [x6989586621679473010] (acc6989586621679473009, [y6989586621679473011]) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (MapAccumRSym2 l1 l2 :: TyFun [x] (acc, [y]) -> *) (l3 :: [x]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (MapAccumRSym2 l1 l2 :: TyFun [x] (acc, [y]) -> *) (l3 :: [x]) = MapAccumR l1 l2 l3

type MapAccumRSym3 (t :: TyFun acc6989586621679473009 (TyFun x6989586621679473010 (acc6989586621679473009, y6989586621679473011) -> Type) -> Type) (t :: acc6989586621679473009) (t :: [x6989586621679473010]) = MapAccumR t t t Source #

data ReplicateSym0 (l :: TyFun Nat (TyFun a6989586621679472923 [a6989586621679472923] -> Type)) Source #

Instances
SuppressUnusedWarnings (ReplicateSym0 :: TyFun Nat (TyFun a6989586621679472923 [a6989586621679472923] -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ReplicateSym0 :: TyFun Nat (TyFun a6989586621679472923 [a6989586621679472923] -> Type) -> *) (l :: Nat) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ReplicateSym0 :: TyFun Nat (TyFun a6989586621679472923 [a6989586621679472923] -> Type) -> *) (l :: Nat) = (ReplicateSym1 l :: TyFun a6989586621679472923 [a6989586621679472923] -> *)

data ReplicateSym1 (l :: Nat) (l :: TyFun a6989586621679472923 [a6989586621679472923]) Source #

Instances
SuppressUnusedWarnings (ReplicateSym1 :: Nat -> TyFun a6989586621679472923 [a6989586621679472923] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ReplicateSym1 l1 :: TyFun a [a] -> *) (l2 :: a) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ReplicateSym1 l1 :: TyFun a [a] -> *) (l2 :: a) = Replicate l1 l2

type ReplicateSym2 (t :: Nat) (t :: a6989586621679472923) = Replicate t t Source #

data UnfoldrSym0 (l :: TyFun (TyFun b6989586621679473007 (Maybe (a6989586621679473008, b6989586621679473007)) -> Type) (TyFun b6989586621679473007 [a6989586621679473008] -> Type)) Source #

Instances
SuppressUnusedWarnings (UnfoldrSym0 :: TyFun (TyFun b6989586621679473007 (Maybe (a6989586621679473008, b6989586621679473007)) -> Type) (TyFun b6989586621679473007 [a6989586621679473008] -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (UnfoldrSym0 :: TyFun (TyFun b6989586621679473007 (Maybe (a6989586621679473008, b6989586621679473007)) -> Type) (TyFun b6989586621679473007 [a6989586621679473008] -> Type) -> *) (l :: TyFun b6989586621679473007 (Maybe (a6989586621679473008, b6989586621679473007)) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (UnfoldrSym0 :: TyFun (TyFun b6989586621679473007 (Maybe (a6989586621679473008, b6989586621679473007)) -> Type) (TyFun b6989586621679473007 [a6989586621679473008] -> Type) -> *) (l :: TyFun b6989586621679473007 (Maybe (a6989586621679473008, b6989586621679473007)) -> Type) = UnfoldrSym1 l

data UnfoldrSym1 (l :: TyFun b6989586621679473007 (Maybe (a6989586621679473008, b6989586621679473007)) -> Type) (l :: TyFun b6989586621679473007 [a6989586621679473008]) Source #

Instances
SuppressUnusedWarnings (UnfoldrSym1 :: (TyFun b6989586621679473007 (Maybe (a6989586621679473008, b6989586621679473007)) -> Type) -> TyFun b6989586621679473007 [a6989586621679473008] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (UnfoldrSym1 l1 :: TyFun b [a] -> *) (l2 :: b) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (UnfoldrSym1 l1 :: TyFun b [a] -> *) (l2 :: b) = Unfoldr l1 l2

type UnfoldrSym2 (t :: TyFun b6989586621679473007 (Maybe (a6989586621679473008, b6989586621679473007)) -> Type) (t :: b6989586621679473007) = Unfoldr t t Source #

data TakeSym0 (l :: TyFun Nat (TyFun [a6989586621679472939] [a6989586621679472939] -> Type)) Source #

Instances
SuppressUnusedWarnings (TakeSym0 :: TyFun Nat (TyFun [a6989586621679472939] [a6989586621679472939] -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (TakeSym0 :: TyFun Nat (TyFun [a6989586621679472939] [a6989586621679472939] -> Type) -> *) (l :: Nat) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (TakeSym0 :: TyFun Nat (TyFun [a6989586621679472939] [a6989586621679472939] -> Type) -> *) (l :: Nat) = (TakeSym1 l :: TyFun [a6989586621679472939] [a6989586621679472939] -> *)

data TakeSym1 (l :: Nat) (l :: TyFun [a6989586621679472939] [a6989586621679472939]) Source #

Instances
SuppressUnusedWarnings (TakeSym1 :: Nat -> TyFun [a6989586621679472939] [a6989586621679472939] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (TakeSym1 l1 :: TyFun [a] [a] -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (TakeSym1 l1 :: TyFun [a] [a] -> *) (l2 :: [a]) = Take l1 l2

type TakeSym2 (t :: Nat) (t :: [a6989586621679472939]) = Take t t Source #

data DropSym0 (l :: TyFun Nat (TyFun [a6989586621679472938] [a6989586621679472938] -> Type)) Source #

Instances
SuppressUnusedWarnings (DropSym0 :: TyFun Nat (TyFun [a6989586621679472938] [a6989586621679472938] -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (DropSym0 :: TyFun Nat (TyFun [a6989586621679472938] [a6989586621679472938] -> Type) -> *) (l :: Nat) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (DropSym0 :: TyFun Nat (TyFun [a6989586621679472938] [a6989586621679472938] -> Type) -> *) (l :: Nat) = (DropSym1 l :: TyFun [a6989586621679472938] [a6989586621679472938] -> *)

data DropSym1 (l :: Nat) (l :: TyFun [a6989586621679472938] [a6989586621679472938]) Source #

Instances
SuppressUnusedWarnings (DropSym1 :: Nat -> TyFun [a6989586621679472938] [a6989586621679472938] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (DropSym1 l1 :: TyFun [a] [a] -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (DropSym1 l1 :: TyFun [a] [a] -> *) (l2 :: [a]) = Drop l1 l2

type DropSym2 (t :: Nat) (t :: [a6989586621679472938]) = Drop t t Source #

data SplitAtSym0 (l :: TyFun Nat (TyFun [a6989586621679472937] ([a6989586621679472937], [a6989586621679472937]) -> Type)) Source #

Instances
SuppressUnusedWarnings (SplitAtSym0 :: TyFun Nat (TyFun [a6989586621679472937] ([a6989586621679472937], [a6989586621679472937]) -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (SplitAtSym0 :: TyFun Nat (TyFun [a6989586621679472937] ([a6989586621679472937], [a6989586621679472937]) -> Type) -> *) (l :: Nat) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (SplitAtSym0 :: TyFun Nat (TyFun [a6989586621679472937] ([a6989586621679472937], [a6989586621679472937]) -> Type) -> *) (l :: Nat) = (SplitAtSym1 l :: TyFun [a6989586621679472937] ([a6989586621679472937], [a6989586621679472937]) -> *)

data SplitAtSym1 (l :: Nat) (l :: TyFun [a6989586621679472937] ([a6989586621679472937], [a6989586621679472937])) Source #

Instances
SuppressUnusedWarnings (SplitAtSym1 :: Nat -> TyFun [a6989586621679472937] ([a6989586621679472937], [a6989586621679472937]) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (SplitAtSym1 l1 :: TyFun [a] ([a], [a]) -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (SplitAtSym1 l1 :: TyFun [a] ([a], [a]) -> *) (l2 :: [a]) = SplitAt l1 l2

type SplitAtSym2 (t :: Nat) (t :: [a6989586621679472937]) = SplitAt t t Source #

data TakeWhileSym0 (l :: TyFun (TyFun a6989586621679472944 Bool -> Type) (TyFun [a6989586621679472944] [a6989586621679472944] -> Type)) Source #

Instances
SuppressUnusedWarnings (TakeWhileSym0 :: TyFun (TyFun a6989586621679472944 Bool -> Type) (TyFun [a6989586621679472944] [a6989586621679472944] -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (TakeWhileSym0 :: TyFun (TyFun a6989586621679472944 Bool -> Type) (TyFun [a6989586621679472944] [a6989586621679472944] -> Type) -> *) (l :: TyFun a6989586621679472944 Bool -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (TakeWhileSym0 :: TyFun (TyFun a6989586621679472944 Bool -> Type) (TyFun [a6989586621679472944] [a6989586621679472944] -> Type) -> *) (l :: TyFun a6989586621679472944 Bool -> Type) = TakeWhileSym1 l

data TakeWhileSym1 (l :: TyFun a6989586621679472944 Bool -> Type) (l :: TyFun [a6989586621679472944] [a6989586621679472944]) Source #

Instances
SuppressUnusedWarnings (TakeWhileSym1 :: (TyFun a6989586621679472944 Bool -> Type) -> TyFun [a6989586621679472944] [a6989586621679472944] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (TakeWhileSym1 l1 :: TyFun [a] [a] -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (TakeWhileSym1 l1 :: TyFun [a] [a] -> *) (l2 :: [a]) = TakeWhile l1 l2

type TakeWhileSym2 (t :: TyFun a6989586621679472944 Bool -> Type) (t :: [a6989586621679472944]) = TakeWhile t t Source #

data DropWhileSym0 (l :: TyFun (TyFun a6989586621679472943 Bool -> Type) (TyFun [a6989586621679472943] [a6989586621679472943] -> Type)) Source #

Instances
SuppressUnusedWarnings (DropWhileSym0 :: TyFun (TyFun a6989586621679472943 Bool -> Type) (TyFun [a6989586621679472943] [a6989586621679472943] -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (DropWhileSym0 :: TyFun (TyFun a6989586621679472943 Bool -> Type) (TyFun [a6989586621679472943] [a6989586621679472943] -> Type) -> *) (l :: TyFun a6989586621679472943 Bool -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (DropWhileSym0 :: TyFun (TyFun a6989586621679472943 Bool -> Type) (TyFun [a6989586621679472943] [a6989586621679472943] -> Type) -> *) (l :: TyFun a6989586621679472943 Bool -> Type) = DropWhileSym1 l

data DropWhileSym1 (l :: TyFun a6989586621679472943 Bool -> Type) (l :: TyFun [a6989586621679472943] [a6989586621679472943]) Source #

Instances
SuppressUnusedWarnings (DropWhileSym1 :: (TyFun a6989586621679472943 Bool -> Type) -> TyFun [a6989586621679472943] [a6989586621679472943] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (DropWhileSym1 l1 :: TyFun [a] [a] -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (DropWhileSym1 l1 :: TyFun [a] [a] -> *) (l2 :: [a]) = DropWhile l1 l2

type DropWhileSym2 (t :: TyFun a6989586621679472943 Bool -> Type) (t :: [a6989586621679472943]) = DropWhile t t Source #

data DropWhileEndSym0 (l :: TyFun (TyFun a6989586621679472942 Bool -> Type) (TyFun [a6989586621679472942] [a6989586621679472942] -> Type)) Source #

Instances
SuppressUnusedWarnings (DropWhileEndSym0 :: TyFun (TyFun a6989586621679472942 Bool -> Type) (TyFun [a6989586621679472942] [a6989586621679472942] -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (DropWhileEndSym0 :: TyFun (TyFun a6989586621679472942 Bool -> Type) (TyFun [a6989586621679472942] [a6989586621679472942] -> Type) -> *) (l :: TyFun a6989586621679472942 Bool -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (DropWhileEndSym0 :: TyFun (TyFun a6989586621679472942 Bool -> Type) (TyFun [a6989586621679472942] [a6989586621679472942] -> Type) -> *) (l :: TyFun a6989586621679472942 Bool -> Type) = DropWhileEndSym1 l

data DropWhileEndSym1 (l :: TyFun a6989586621679472942 Bool -> Type) (l :: TyFun [a6989586621679472942] [a6989586621679472942]) Source #

Instances
SuppressUnusedWarnings (DropWhileEndSym1 :: (TyFun a6989586621679472942 Bool -> Type) -> TyFun [a6989586621679472942] [a6989586621679472942] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (DropWhileEndSym1 l1 :: TyFun [a] [a] -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (DropWhileEndSym1 l1 :: TyFun [a] [a] -> *) (l2 :: [a]) = DropWhileEnd l1 l2

type DropWhileEndSym2 (t :: TyFun a6989586621679472942 Bool -> Type) (t :: [a6989586621679472942]) = DropWhileEnd t t Source #

data SpanSym0 (l :: TyFun (TyFun a6989586621679472941 Bool -> Type) (TyFun [a6989586621679472941] ([a6989586621679472941], [a6989586621679472941]) -> Type)) Source #

Instances
SuppressUnusedWarnings (SpanSym0 :: TyFun (TyFun a6989586621679472941 Bool -> Type) (TyFun [a6989586621679472941] ([a6989586621679472941], [a6989586621679472941]) -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (SpanSym0 :: TyFun (TyFun a6989586621679472941 Bool -> Type) (TyFun [a6989586621679472941] ([a6989586621679472941], [a6989586621679472941]) -> Type) -> *) (l :: TyFun a6989586621679472941 Bool -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (SpanSym0 :: TyFun (TyFun a6989586621679472941 Bool -> Type) (TyFun [a6989586621679472941] ([a6989586621679472941], [a6989586621679472941]) -> Type) -> *) (l :: TyFun a6989586621679472941 Bool -> Type) = SpanSym1 l

data SpanSym1 (l :: TyFun a6989586621679472941 Bool -> Type) (l :: TyFun [a6989586621679472941] ([a6989586621679472941], [a6989586621679472941])) Source #

Instances
SuppressUnusedWarnings (SpanSym1 :: (TyFun a6989586621679472941 Bool -> Type) -> TyFun [a6989586621679472941] ([a6989586621679472941], [a6989586621679472941]) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (SpanSym1 l1 :: TyFun [a] ([a], [a]) -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (SpanSym1 l1 :: TyFun [a] ([a], [a]) -> *) (l2 :: [a]) = Span l1 l2

type SpanSym2 (t :: TyFun a6989586621679472941 Bool -> Type) (t :: [a6989586621679472941]) = Span t t Source #

data BreakSym0 (l :: TyFun (TyFun a6989586621679472940 Bool -> Type) (TyFun [a6989586621679472940] ([a6989586621679472940], [a6989586621679472940]) -> Type)) Source #

Instances
SuppressUnusedWarnings (BreakSym0 :: TyFun (TyFun a6989586621679472940 Bool -> Type) (TyFun [a6989586621679472940] ([a6989586621679472940], [a6989586621679472940]) -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (BreakSym0 :: TyFun (TyFun a6989586621679472940 Bool -> Type) (TyFun [a6989586621679472940] ([a6989586621679472940], [a6989586621679472940]) -> Type) -> *) (l :: TyFun a6989586621679472940 Bool -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (BreakSym0 :: TyFun (TyFun a6989586621679472940 Bool -> Type) (TyFun [a6989586621679472940] ([a6989586621679472940], [a6989586621679472940]) -> Type) -> *) (l :: TyFun a6989586621679472940 Bool -> Type) = BreakSym1 l

data BreakSym1 (l :: TyFun a6989586621679472940 Bool -> Type) (l :: TyFun [a6989586621679472940] ([a6989586621679472940], [a6989586621679472940])) Source #

Instances
SuppressUnusedWarnings (BreakSym1 :: (TyFun a6989586621679472940 Bool -> Type) -> TyFun [a6989586621679472940] ([a6989586621679472940], [a6989586621679472940]) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (BreakSym1 l1 :: TyFun [a] ([a], [a]) -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (BreakSym1 l1 :: TyFun [a] ([a], [a]) -> *) (l2 :: [a]) = Break l1 l2

type BreakSym2 (t :: TyFun a6989586621679472940 Bool -> Type) (t :: [a6989586621679472940]) = Break t t Source #

data GroupSym0 (l :: TyFun [a6989586621679472936] [[a6989586621679472936]]) Source #

Instances
SuppressUnusedWarnings (GroupSym0 :: TyFun [a6989586621679472936] [[a6989586621679472936]] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (GroupSym0 :: TyFun [a] [[a]] -> *) (l :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (GroupSym0 :: TyFun [a] [[a]] -> *) (l :: [a]) = Group l

type GroupSym1 (t :: [a6989586621679472936]) = Group t Source #

data InitsSym0 (l :: TyFun [a6989586621679473006] [[a6989586621679473006]]) Source #

Instances
SuppressUnusedWarnings (InitsSym0 :: TyFun [a6989586621679473006] [[a6989586621679473006]] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (InitsSym0 :: TyFun [a] [[a]] -> *) (l :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (InitsSym0 :: TyFun [a] [[a]] -> *) (l :: [a]) = Inits l

type InitsSym1 (t :: [a6989586621679473006]) = Inits t Source #

data TailsSym0 (l :: TyFun [a6989586621679473005] [[a6989586621679473005]]) Source #

Instances
SuppressUnusedWarnings (TailsSym0 :: TyFun [a6989586621679473005] [[a6989586621679473005]] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (TailsSym0 :: TyFun [a] [[a]] -> *) (l :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (TailsSym0 :: TyFun [a] [[a]] -> *) (l :: [a]) = Tails l

type TailsSym1 (t :: [a6989586621679473005]) = Tails t Source #

data IsPrefixOfSym0 (l :: TyFun [a6989586621679473004] (TyFun [a6989586621679473004] Bool -> Type)) Source #

Instances
SuppressUnusedWarnings (IsPrefixOfSym0 :: TyFun [a6989586621679473004] (TyFun [a6989586621679473004] Bool -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IsPrefixOfSym0 :: TyFun [a6989586621679473004] (TyFun [a6989586621679473004] Bool -> Type) -> *) (l :: [a6989586621679473004]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IsPrefixOfSym0 :: TyFun [a6989586621679473004] (TyFun [a6989586621679473004] Bool -> Type) -> *) (l :: [a6989586621679473004]) = IsPrefixOfSym1 l

data IsPrefixOfSym1 (l :: [a6989586621679473004]) (l :: TyFun [a6989586621679473004] Bool) Source #

Instances
SuppressUnusedWarnings (IsPrefixOfSym1 :: [a6989586621679473004] -> TyFun [a6989586621679473004] Bool -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IsPrefixOfSym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IsPrefixOfSym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) = IsPrefixOf l1 l2

type IsPrefixOfSym2 (t :: [a6989586621679473004]) (t :: [a6989586621679473004]) = IsPrefixOf t t Source #

data IsSuffixOfSym0 (l :: TyFun [a6989586621679473003] (TyFun [a6989586621679473003] Bool -> Type)) Source #

Instances
SuppressUnusedWarnings (IsSuffixOfSym0 :: TyFun [a6989586621679473003] (TyFun [a6989586621679473003] Bool -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IsSuffixOfSym0 :: TyFun [a6989586621679473003] (TyFun [a6989586621679473003] Bool -> Type) -> *) (l :: [a6989586621679473003]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IsSuffixOfSym0 :: TyFun [a6989586621679473003] (TyFun [a6989586621679473003] Bool -> Type) -> *) (l :: [a6989586621679473003]) = IsSuffixOfSym1 l

data IsSuffixOfSym1 (l :: [a6989586621679473003]) (l :: TyFun [a6989586621679473003] Bool) Source #

Instances
SuppressUnusedWarnings (IsSuffixOfSym1 :: [a6989586621679473003] -> TyFun [a6989586621679473003] Bool -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IsSuffixOfSym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IsSuffixOfSym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) = IsSuffixOf l1 l2

type IsSuffixOfSym2 (t :: [a6989586621679473003]) (t :: [a6989586621679473003]) = IsSuffixOf t t Source #

data IsInfixOfSym0 (l :: TyFun [a6989586621679473002] (TyFun [a6989586621679473002] Bool -> Type)) Source #

Instances
SuppressUnusedWarnings (IsInfixOfSym0 :: TyFun [a6989586621679473002] (TyFun [a6989586621679473002] Bool -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IsInfixOfSym0 :: TyFun [a6989586621679473002] (TyFun [a6989586621679473002] Bool -> Type) -> *) (l :: [a6989586621679473002]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IsInfixOfSym0 :: TyFun [a6989586621679473002] (TyFun [a6989586621679473002] Bool -> Type) -> *) (l :: [a6989586621679473002]) = IsInfixOfSym1 l

data IsInfixOfSym1 (l :: [a6989586621679473002]) (l :: TyFun [a6989586621679473002] Bool) Source #

Instances
SuppressUnusedWarnings (IsInfixOfSym1 :: [a6989586621679473002] -> TyFun [a6989586621679473002] Bool -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IsInfixOfSym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (IsInfixOfSym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) = IsInfixOf l1 l2

type IsInfixOfSym2 (t :: [a6989586621679473002]) (t :: [a6989586621679473002]) = IsInfixOf t t Source #

data ElemSym0 (l :: TyFun a6989586621679473001 (TyFun [a6989586621679473001] Bool -> Type)) Source #

Instances
SuppressUnusedWarnings (ElemSym0 :: TyFun a6989586621679473001 (TyFun [a6989586621679473001] Bool -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ElemSym0 :: TyFun a6989586621679473001 (TyFun [a6989586621679473001] Bool -> Type) -> *) (l :: a6989586621679473001) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ElemSym0 :: TyFun a6989586621679473001 (TyFun [a6989586621679473001] Bool -> Type) -> *) (l :: a6989586621679473001) = ElemSym1 l

data ElemSym1 (l :: a6989586621679473001) (l :: TyFun [a6989586621679473001] Bool) Source #

Instances
SuppressUnusedWarnings (ElemSym1 :: a6989586621679473001 -> TyFun [a6989586621679473001] Bool -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ElemSym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (ElemSym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) = Elem l1 l2

type ElemSym2 (t :: a6989586621679473001) (t :: [a6989586621679473001]) = Elem t t Source #

data NotElemSym0 (l :: TyFun a6989586621679473000 (TyFun [a6989586621679473000] Bool -> Type)) Source #

Instances
SuppressUnusedWarnings (NotElemSym0 :: TyFun a6989586621679473000 (TyFun [a6989586621679473000] Bool -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (NotElemSym0 :: TyFun a6989586621679473000 (TyFun [a6989586621679473000] Bool -> Type) -> *) (l :: a6989586621679473000) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (NotElemSym0 :: TyFun a6989586621679473000 (TyFun [a6989586621679473000] Bool -> Type) -> *) (l :: a6989586621679473000) = NotElemSym1 l

data NotElemSym1 (l :: a6989586621679473000) (l :: TyFun [a6989586621679473000] Bool) Source #

Instances
SuppressUnusedWarnings (NotElemSym1 :: a6989586621679473000 -> TyFun [a6989586621679473000] Bool -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (NotElemSym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (NotElemSym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) = NotElem l1 l2

type NotElemSym2 (t :: a6989586621679473000) (t :: [a6989586621679473000]) = NotElem t t Source #

data LookupSym0 (l :: TyFun a6989586621679472929 (TyFun [(a6989586621679472929, b6989586621679472930)] (Maybe b6989586621679472930) -> Type)) Source #

Instances
SuppressUnusedWarnings (LookupSym0 :: TyFun a6989586621679472929 (TyFun [(a6989586621679472929, b6989586621679472930)] (Maybe b6989586621679472930) -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (LookupSym0 :: TyFun a6989586621679472929 (TyFun [(a6989586621679472929, b6989586621679472930)] (Maybe b6989586621679472930) -> Type) -> *) (l :: a6989586621679472929) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (LookupSym0 :: TyFun a6989586621679472929 (TyFun [(a6989586621679472929, b6989586621679472930)] (Maybe b6989586621679472930) -> Type) -> *) (l :: a6989586621679472929) = (LookupSym1 l :: TyFun [(a6989586621679472929, b6989586621679472930)] (Maybe b6989586621679472930) -> *)

data LookupSym1 (l :: a6989586621679472929) (l :: TyFun [(a6989586621679472929, b6989586621679472930)] (Maybe b6989586621679472930)) Source #

Instances
SuppressUnusedWarnings (LookupSym1 :: a6989586621679472929 -> TyFun [(a6989586621679472929, b6989586621679472930)] (Maybe b6989586621679472930) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (LookupSym1 l1 :: TyFun [(a, b)] (Maybe b) -> *) (l2 :: [(a, b)]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (LookupSym1 l1 :: TyFun [(a, b)] (Maybe b) -> *) (l2 :: [(a, b)]) = Lookup l1 l2

type LookupSym2 (t :: a6989586621679472929) (t :: [(a6989586621679472929, b6989586621679472930)]) = Lookup t t Source #

data FindSym0 (l :: TyFun (TyFun a6989586621679472951 Bool -> Type) (TyFun [a6989586621679472951] (Maybe a6989586621679472951) -> Type)) Source #

Instances
SuppressUnusedWarnings (FindSym0 :: TyFun (TyFun a6989586621679472951 Bool -> Type) (TyFun [a6989586621679472951] (Maybe a6989586621679472951) -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (FindSym0 :: TyFun (TyFun a6989586621679472951 Bool -> Type) (TyFun [a6989586621679472951] (Maybe a6989586621679472951) -> Type) -> *) (l :: TyFun a6989586621679472951 Bool -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (FindSym0 :: TyFun (TyFun a6989586621679472951 Bool -> Type) (TyFun [a6989586621679472951] (Maybe a6989586621679472951) -> Type) -> *) (l :: TyFun a6989586621679472951 Bool -> Type) = FindSym1 l

data FindSym1 (l :: TyFun a6989586621679472951 Bool -> Type) (l :: TyFun [a6989586621679472951] (Maybe a6989586621679472951)) Source #

Instances
SuppressUnusedWarnings (FindSym1 :: (TyFun a6989586621679472951 Bool -> Type) -> TyFun [a6989586621679472951] (Maybe a6989586621679472951) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.List

type Apply (FindSym1 l1 :: TyFun [a] (Maybe a) -> *) (l2 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.List