GHC.TypeLits.Singletons

Defines and exports singletons useful for the Natural, Symbol, and Char kinds.

Documentation

data Natural

Natural number

Invariant: numbers <= 0xffffffffffffffff use the NS constructor

Instances

PrintfArg Natural

Since: base-4.8.0.0

Defined in Text.Printf

Methods

formatArg :: Natural -> FieldFormatter

parseFormat :: Natural -> ModifierParser

NFData Natural

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Natural -> ()

Enum Natural

Since: base-4.8.0.0

Defined in GHC.Internal.Enum

Methods

succ :: Natural -> Natural

pred :: Natural -> Natural

toEnum :: Int -> Natural

fromEnum :: Natural -> Int

enumFrom :: Natural -> [Natural]

enumFromThen :: Natural -> Natural -> [Natural]

enumFromTo :: Natural -> Natural -> [Natural]

enumFromThenTo :: Natural -> Natural -> Natural -> [Natural]

Ix Natural

Since: base-4.8.0.0

Defined in GHC.Internal.Ix

Methods

range :: (Natural, Natural) -> [Natural]

index :: (Natural, Natural) -> Natural -> Int

unsafeIndex :: (Natural, Natural) -> Natural -> Int

inRange :: (Natural, Natural) -> Natural -> Bool

rangeSize :: (Natural, Natural) -> Int

unsafeRangeSize :: (Natural, Natural) -> Int

Num Natural

Note that Natural's Num instance isn't a ring: no element but 0 has an additive inverse. It is a semiring though.

Since: base-4.8.0.0

Defined in GHC.Internal.Num

Methods

(+) :: Natural -> Natural -> Natural

(-) :: Natural -> Natural -> Natural

(*) :: Natural -> Natural -> Natural

negate :: Natural -> Natural

abs :: Natural -> Natural

signum :: Natural -> Natural

fromInteger :: Integer -> Natural

Integral Natural

Since: base-4.8.0.0

Defined in GHC.Internal.Real

Methods

quot :: Natural -> Natural -> Natural

rem :: Natural -> Natural -> Natural

div :: Natural -> Natural -> Natural

mod :: Natural -> Natural -> Natural

quotRem :: Natural -> Natural -> (Natural, Natural)

divMod :: Natural -> Natural -> (Natural, Natural)

toInteger :: Natural -> Integer

Real Natural

Since: base-4.8.0.0

Defined in GHC.Internal.Real

Methods

toRational :: Natural -> Rational

Show Natural

Since: base-4.8.0.0

Defined in GHC.Internal.Show

Methods

showsPrec :: Int -> Natural -> ShowS

show :: Natural -> String

showList :: [Natural] -> ShowS

Eq Natural

Defined in GHC.Num.Natural

Methods

(==) :: Natural -> Natural -> Bool

(/=) :: Natural -> Natural -> Bool

Ord Natural

Defined in GHC.Num.Natural

Methods

compare :: Natural -> Natural -> Ordering

(<) :: Natural -> Natural -> Bool

(<=) :: Natural -> Natural -> Bool

(>) :: Natural -> Natural -> Bool

(>=) :: Natural -> Natural -> Bool

max :: Natural -> Natural -> Natural

min :: Natural -> Natural -> Natural

Hashable Natural

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Natural -> Int

hash :: Natural -> Int

SingKind Natural

Defined in GHC.TypeLits.Singletons.Internal

Associated Types

type Demote Natural

Defined in GHC.TypeLits.Singletons.Internal

type Demote Natural = Natural

Methods

fromSing :: forall (a :: Natural). Sing a -> Demote Natural

toSing :: Demote Natural -> SomeSing Natural

SDecide Natural

Defined in GHC.TypeLits.Singletons.Internal

Methods

(%~) :: forall (a :: Natural) (b :: Natural). Sing a -> Sing b -> Decision (a :~: b)

PEq Natural

Defined in GHC.TypeLits.Singletons.Internal

Associated Types

type (x :: Natural) == (y :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type (x :: Natural) == (y :: Natural) = DefaultEq x y

type (arg :: Natural) /= (arg1 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Natural) /= (arg1 :: Natural)

SEq Natural

Defined in GHC.TypeLits.Singletons.Internal

Methods

(%==) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (t1 == t2)

(%/=) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (t1 /= t2)

POrd Natural

Defined in GHC.TypeLits.Singletons.Internal

Associated Types

type Compare (a :: Natural) (b :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type Compare (a :: Natural) (b :: Natural) = CmpNat a b

type (arg :: Natural) < (arg1 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Natural) < (arg1 :: Natural)

type (arg :: Natural) <= (arg1 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Natural) <= (arg1 :: Natural)

type (arg :: Natural) > (arg1 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Natural) > (arg1 :: Natural)

type (arg :: Natural) >= (arg1 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Natural) >= (arg1 :: Natural)

type Max (arg :: Natural) (arg1 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type Max (arg :: Natural) (arg1 :: Natural)

type Min (arg :: Natural) (arg1 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type Min (arg :: Natural) (arg1 :: Natural)

SOrd Natural

Defined in GHC.TypeLits.Singletons.Internal

Methods

sCompare :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Compare t1 t2)

(%<) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (t1 < t2)

(%<=) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (t1 <= t2)

(%>) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (t1 > t2)

(%>=) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (t1 >= t2)

sMax :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Max t1 t2)

sMin :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Min t1 t2)

PEnum Natural

Defined in Data.Singletons.Base.Enum

Associated Types

type Succ (a :: Natural)

Defined in Data.Singletons.Base.Enum

type Succ (a :: Natural)

type Pred (a :: Natural)

Defined in Data.Singletons.Base.Enum

type Pred (a :: Natural)

type ToEnum a

Defined in Data.Singletons.Base.Enum

type ToEnum a

type FromEnum (a :: Natural)

Defined in Data.Singletons.Base.Enum

type FromEnum (a :: Natural)

type EnumFromTo (a1 :: Natural) (a2 :: Natural)

Defined in Data.Singletons.Base.Enum

type EnumFromTo (a1 :: Natural) (a2 :: Natural)

type EnumFromThenTo (a1 :: Natural) (a2 :: Natural) (a3 :: Natural)

Defined in Data.Singletons.Base.Enum

type EnumFromThenTo (a1 :: Natural) (a2 :: Natural) (a3 :: Natural)

SEnum Natural

Defined in Data.Singletons.Base.Enum

Methods

sSucc :: forall (t :: Natural). Sing t -> Sing (Succ t)

sPred :: forall (t :: Natural). Sing t -> Sing (Pred t)

sToEnum :: forall (t :: Natural). Sing t -> Sing (ToEnum t :: Natural)

sFromEnum :: forall (t :: Natural). Sing t -> Sing (FromEnum t)

sEnumFromTo :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (EnumFromTo t1 t2)

sEnumFromThenTo :: forall (t1 :: Natural) (t2 :: Natural) (t3 :: Natural). Sing t1 -> Sing t2 -> Sing t3 -> Sing (EnumFromThenTo t1 t2 t3)

PNum Natural

Defined in GHC.Num.Singletons

Associated Types

type (a :: Natural) + (b :: Natural)

Defined in GHC.Num.Singletons

type (a :: Natural) + (b :: Natural) = a + b

type (a :: Natural) - (b :: Natural)

Defined in GHC.Num.Singletons

type (a :: Natural) - (b :: Natural) = a - b

type (a :: Natural) * (b :: Natural)

Defined in GHC.Num.Singletons

type (a :: Natural) * (b :: Natural) = a * b

type Negate (a :: Natural)

Defined in GHC.Num.Singletons

type Negate (a :: Natural) = Error "Cannot negate a natural number" :: Natural

type Abs (a :: Natural)

Defined in GHC.Num.Singletons

type Abs (a :: Natural) = a

type Signum (a :: Natural)

Defined in GHC.Num.Singletons

type Signum (a :: Natural)

type FromInteger a

Defined in GHC.Num.Singletons

type FromInteger a = a

SNum Natural

Defined in GHC.Num.Singletons

Methods

(%+) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (t1 + t2)

(%-) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (t1 - t2)

(%*) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (t1 * t2)

sNegate :: forall (t :: Natural). Sing t -> Sing (Negate t)

sAbs :: forall (t :: Natural). Sing t -> Sing (Abs t)

sSignum :: forall (t :: Natural). Sing t -> Sing (Signum t)

sFromInteger :: forall (t :: Natural). Sing t -> Sing (FromInteger t :: Natural)

PShow Natural

Defined in Text.Show.Singletons

Associated Types

type ShowsPrec _1 (n :: Natural) x

Defined in Text.Show.Singletons

type ShowsPrec _1 (n :: Natural) x

type Show_ (arg :: Natural)

Defined in Text.Show.Singletons

type Show_ (arg :: Natural)

type ShowList (arg1 :: [Natural]) arg2

Defined in Text.Show.Singletons

type ShowList (arg1 :: [Natural]) arg2

SShow Natural

Defined in Text.Show.Singletons

Methods

sShowsPrec :: forall (t1 :: Natural) (t2 :: Natural) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (ShowsPrec t1 t2 t3)

sShow_ :: forall (t :: Natural). Sing t -> Sing (Show_ t)

sShowList :: forall (t1 :: [Natural]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (ShowList t1 t2)

KnownNat n => HasResolution (n :: Nat)

For example, Fixed 1000 will give you a Fixed with a resolution of 1000.

Defined in Data.Fixed

Methods

resolution :: p n -> Integer

TestCoercion SNat

Since: base-4.18.0.0

Defined in GHC.Internal.TypeNats

Methods

testCoercion :: forall (a :: Nat) (b :: Nat). SNat a -> SNat b -> Maybe (Coercion a b)

TestEquality SNat

Since: base-4.18.0.0

Defined in GHC.Internal.TypeNats

Methods

testEquality :: forall (a :: Nat) (b :: Nat). SNat a -> SNat b -> Maybe (a :~: b)

KnownNat n => SingI (n :: Nat)

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing n

SShow a => SingI2 (ShowsPrecSym2 :: Natural -> a -> TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

liftSing2 :: forall (x :: Natural) (y :: a). Sing x -> Sing y -> Sing (ShowsPrecSym2 x y)

SingI1 DivSym1

Defined in GHC.TypeLits.Singletons

Methods

liftSing :: forall (x :: Natural). Sing x -> Sing (DivSym1 x)

SingI1 ModSym1

Defined in GHC.TypeLits.Singletons

Methods

liftSing :: forall (x :: Natural). Sing x -> Sing (ModSym1 x)

SingI1 (^@#@$$)

Defined in GHC.TypeLits.Singletons.Internal

Methods

liftSing :: forall (x :: Natural). Sing x -> Sing ((^@#@$$) x)

SingI1 (SplitAtSym1 :: Natural -> TyFun (NonEmpty a) ([a], [a]) -> Type)

Defined in Data.List.NonEmpty.Singletons

Methods

liftSing :: forall (x :: Natural). Sing x -> Sing (SplitAtSym1 x :: TyFun (NonEmpty a) ([a], [a]) -> Type)

SingI1 (DropSym1 :: Natural -> TyFun (NonEmpty a) [a] -> Type)

Defined in Data.List.NonEmpty.Singletons

Methods

liftSing :: forall (x :: Natural). Sing x -> Sing (DropSym1 x :: TyFun (NonEmpty a) [a] -> Type)

SingI1 (TakeSym1 :: Natural -> TyFun (NonEmpty a) [a] -> Type)

Defined in Data.List.NonEmpty.Singletons

Methods

liftSing :: forall (x :: Natural). Sing x -> Sing (TakeSym1 x :: TyFun (NonEmpty a) [a] -> Type)

SingI1 (SplitAtSym1 :: Natural -> TyFun [a] ([a], [a]) -> Type)

Defined in Data.List.Singletons.Internal

Methods

liftSing :: forall (x :: Natural). Sing x -> Sing (SplitAtSym1 x :: TyFun [a] ([a], [a]) -> Type)

SingI1 (DropSym1 :: Natural -> TyFun [a] [a] -> Type)

Defined in Data.List.Singletons.Internal

Methods

liftSing :: forall (x :: Natural). Sing x -> Sing (DropSym1 x :: TyFun [a] [a] -> Type)

SingI1 (TakeSym1 :: Natural -> TyFun [a] [a] -> Type)

Defined in Data.List.Singletons.Internal

Methods

liftSing :: forall (x :: Natural). Sing x -> Sing (TakeSym1 x :: TyFun [a] [a] -> Type)

SShow a => SingI1 (ShowsPrecSym1 :: Natural -> TyFun a (Symbol ~> Symbol) -> Type)

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: Natural). Sing x -> Sing (ShowsPrecSym1 x :: TyFun a (Symbol ~> Symbol) -> Type)

SingI1 (ReplicateSym1 :: Natural -> TyFun a [a] -> Type)

Defined in Data.List.Singletons.Internal

Methods

liftSing :: forall (x :: Natural). Sing x -> Sing (ReplicateSym1 x :: TyFun a [a] -> Type)

SingI1 ((<=?@#@$$) :: Natural -> TyFun Natural Bool -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

liftSing :: forall (x :: Natural). Sing x -> Sing ((<=?@#@$$) x)

SEq a => SingI1 (ElemIndexSym1 :: a -> TyFun [a] (Maybe Natural) -> Type)

Defined in Data.List.Singletons.Internal

Methods

liftSing :: forall (x :: a). Sing x -> Sing (ElemIndexSym1 x)

SEq a => SingI1 (ElemIndicesSym1 :: a -> TyFun [a] [Natural] -> Type)

Defined in Data.List.Singletons.Internal

Methods

liftSing :: forall (x :: a). Sing x -> Sing (ElemIndicesSym1 x)

SApplicative m => SingI1 (ReplicateM_Sym1 :: Natural -> TyFun (m a) (m ()) -> Type)

Defined in Control.Monad.Singletons

Methods

liftSing :: forall (x :: Natural). Sing x -> Sing (ReplicateM_Sym1 x :: TyFun (m a) (m ()) -> Type)

SApplicative m => SingI1 (ReplicateMSym1 :: Natural -> TyFun (m a) (m [a]) -> Type)

Defined in Control.Monad.Singletons

Methods

liftSing :: forall (x :: Natural). Sing x -> Sing (ReplicateMSym1 x :: TyFun (m a) (m [a]) -> Type)

SingI1 ((!!@#@$$) :: NonEmpty a -> TyFun Natural a -> Type)

Defined in Data.List.NonEmpty.Singletons

Methods

liftSing :: forall (x :: NonEmpty a). Sing x -> Sing ((!!@#@$$) x)

SingI1 ((!!@#@$$) :: [a] -> TyFun Natural a -> Type)

Defined in Data.List.Singletons.Internal

Methods

liftSing :: forall (x :: [a]). Sing x -> Sing ((!!@#@$$) x)

SingI DivSym0

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing DivSym0

SingI ModSym0

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing ModSym0

SingI (^@#@$)

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing (^@#@$)

SingI Log2Sym0

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing Log2Sym0

SingI NatToCharSym0

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing NatToCharSym0

SingI CharToNatSym0

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing CharToNatSym0

SuppressUnusedWarnings KnownNatSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings DivSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings ModSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings QuotSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings RemSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (^@#@$)

Defined in GHC.TypeLits.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings DivModSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings QuotRemSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings Log2Sym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings NatToCharSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings CharToNatSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SingI ((!!@#@$) :: TyFun (NonEmpty a) (Natural ~> a) -> Type)

Defined in Data.List.NonEmpty.Singletons

Methods

sing :: Sing ((!!@#@$) :: TyFun (NonEmpty a) (Natural ~> a) -> Type)

SingI (LengthSym0 :: TyFun (NonEmpty a) Natural -> Type)

Defined in Data.List.NonEmpty.Singletons

Methods

sing :: Sing (LengthSym0 :: TyFun (NonEmpty a) Natural -> Type)

SingI (FindIndexSym0 :: TyFun (a ~> Bool) ([a] ~> Maybe Natural) -> Type)

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing (FindIndexSym0 :: TyFun (a ~> Bool) ([a] ~> Maybe Natural) -> Type)

SingI (FindIndicesSym0 :: TyFun (a ~> Bool) ([a] ~> [Natural]) -> Type)

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing (FindIndicesSym0 :: TyFun (a ~> Bool) ([a] ~> [Natural]) -> Type)

SingI (SplitAtSym0 :: TyFun Natural (NonEmpty a ~> ([a], [a])) -> Type)

Defined in Data.List.NonEmpty.Singletons

Methods

sing :: Sing (SplitAtSym0 :: TyFun Natural (NonEmpty a ~> ([a], [a])) -> Type)

SingI (DropSym0 :: TyFun Natural (NonEmpty a ~> [a]) -> Type)

Defined in Data.List.NonEmpty.Singletons

Methods

sing :: Sing (DropSym0 :: TyFun Natural (NonEmpty a ~> [a]) -> Type)

SingI (TakeSym0 :: TyFun Natural (NonEmpty a ~> [a]) -> Type)

Defined in Data.List.NonEmpty.Singletons

Methods

sing :: Sing (TakeSym0 :: TyFun Natural (NonEmpty a ~> [a]) -> Type)

SingI (SplitAtSym0 :: TyFun Natural ([a] ~> ([a], [a])) -> Type)

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing (SplitAtSym0 :: TyFun Natural ([a] ~> ([a], [a])) -> Type)

SingI (DropSym0 :: TyFun Natural ([a] ~> [a]) -> Type)

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing (DropSym0 :: TyFun Natural ([a] ~> [a]) -> Type)

SingI (TakeSym0 :: TyFun Natural ([a] ~> [a]) -> Type)

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing (TakeSym0 :: TyFun Natural ([a] ~> [a]) -> Type)

SShow a => SingI (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type)

Defined in Text.Show.Singletons

Methods

sing :: Sing (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type)

SingI (ReplicateSym0 :: TyFun Natural (a ~> [a]) -> Type)

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing (ReplicateSym0 :: TyFun Natural (a ~> [a]) -> Type)

SEnum a => SingI (ToEnumSym0 :: TyFun Natural a -> Type)

Defined in Data.Singletons.Base.Enum

Methods

sing :: Sing (ToEnumSym0 :: TyFun Natural a -> Type)

SNum a => SingI (FromIntegerSym0 :: TyFun Natural a -> Type)

Defined in GHC.Num.Singletons

Methods

sing :: Sing (FromIntegerSym0 :: TyFun Natural a -> Type)

SingI ((!!@#@$) :: TyFun [a] (Natural ~> a) -> Type)

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing ((!!@#@$) :: TyFun [a] (Natural ~> a) -> Type)

SEq a => SingI (ElemIndexSym0 :: TyFun a ([a] ~> Maybe Natural) -> Type)

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing (ElemIndexSym0 :: TyFun a ([a] ~> Maybe Natural) -> Type)

SEq a => SingI (ElemIndicesSym0 :: TyFun a ([a] ~> [Natural]) -> Type)

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing (ElemIndicesSym0 :: TyFun a ([a] ~> [Natural]) -> Type)

SEnum a => SingI (FromEnumSym0 :: TyFun a Natural -> Type)

Defined in Data.Singletons.Base.Enum

Methods

sing :: Sing (FromEnumSym0 :: TyFun a Natural -> Type)

SingI ((<=?@#@$) :: TyFun Natural (Natural ~> Bool) -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing ((<=?@#@$) :: TyFun Natural (Natural ~> Bool) -> Type)

SingI x => SingI (DivSym1 x :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing (DivSym1 x)

SingI x => SingI (ModSym1 x :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing (ModSym1 x)

SingI x => SingI ((^@#@$$) x :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing ((^@#@$$) x)

SuppressUnusedWarnings ((!!@#@$) :: TyFun (NonEmpty a) (Natural ~> a) -> Type)

Defined in Data.List.NonEmpty.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (LengthSym0 :: TyFun (NonEmpty a) Natural -> Type)

Defined in Data.List.NonEmpty.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (FindIndexSym0 :: TyFun (a ~> Bool) ([a] ~> Maybe Natural) -> Type)

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (FindIndicesSym0 :: TyFun (a ~> Bool) ([a] ~> [Natural]) -> Type)

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (SplitAtSym0 :: TyFun Natural (NonEmpty a ~> ([a], [a])) -> Type)

Defined in Data.List.NonEmpty.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (DropSym0 :: TyFun Natural (NonEmpty a ~> [a]) -> Type)

Defined in Data.List.NonEmpty.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (TakeSym0 :: TyFun Natural (NonEmpty a ~> [a]) -> Type)

Defined in Data.List.NonEmpty.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (SplitAtSym0 :: TyFun Natural ([a] ~> ([a], [a])) -> Type)

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (DropSym0 :: TyFun Natural ([a] ~> [a]) -> Type)

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (TakeSym0 :: TyFun Natural ([a] ~> [a]) -> Type)

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ReplicateSym0 :: TyFun Natural (a ~> [a]) -> Type)

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (DivSym1 a6989586621679378709 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ModSym1 a6989586621679379154 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (QuotSym1 a6989586621679379824 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (RemSym1 a6989586621679379813 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings ((^@#@$$) a6989586621679369666 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (DivModSym1 a6989586621679379842 :: TyFun Natural (Natural, Natural) -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (QuotRemSym1 a6989586621679379835 :: TyFun Natural (Natural, Natural) -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ToEnumSym0 :: TyFun Natural a -> Type)

Defined in Data.Singletons.Base.Enum

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (FromIntegerSym0 :: TyFun Natural a -> Type)

Defined in GHC.Num.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings ((!!@#@$) :: TyFun [a] (Natural ~> a) -> Type)

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ElemIndexSym0 :: TyFun a ([a] ~> Maybe Natural) -> Type)

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ElemIndicesSym0 :: TyFun a ([a] ~> [Natural]) -> Type)

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (FromEnumSym0 :: TyFun a Natural -> Type)

Defined in Data.Singletons.Base.Enum

Methods

suppressUnusedWarnings :: ()

SApplicative m => SingI (ReplicateM_Sym0 :: TyFun Natural (m a ~> m ()) -> Type)

Defined in Control.Monad.Singletons

Methods

sing :: Sing (ReplicateM_Sym0 :: TyFun Natural (m a ~> m ()) -> Type)

SApplicative m => SingI (ReplicateMSym0 :: TyFun Natural (m a ~> m [a]) -> Type)

Defined in Control.Monad.Singletons

Methods

sing :: Sing (ReplicateMSym0 :: TyFun Natural (m a ~> m [a]) -> Type)

SingI d => SingI ((!!@#@$$) d :: TyFun Natural a -> Type)

Defined in Data.List.NonEmpty.Singletons

Methods

sing :: Sing ((!!@#@$$) d)

SingI d => SingI ((!!@#@$$) d :: TyFun Natural a -> Type)

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing ((!!@#@$$) d)

(SEq a, SingI d) => SingI (ElemIndexSym1 d :: TyFun [a] (Maybe Natural) -> Type)

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing (ElemIndexSym1 d)

SingI d => SingI (FindIndexSym1 d :: TyFun [a] (Maybe Natural) -> Type)

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing (FindIndexSym1 d)

(SEq a, SingI d) => SingI (ElemIndicesSym1 d :: TyFun [a] [Natural] -> Type)

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing (ElemIndicesSym1 d)

SingI d => SingI (FindIndicesSym1 d :: TyFun [a] [Natural] -> Type)

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing (FindIndicesSym1 d)

SFoldable t => SingI (LengthSym0 :: TyFun (t a) Natural -> Type)

Defined in Data.Foldable.Singletons

Methods

sing :: Sing (LengthSym0 :: TyFun (t a) Natural -> Type)

SingI x => SingI ((<=?@#@$$) x :: TyFun Natural Bool -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing ((<=?@#@$$) x)

SuppressUnusedWarnings (ReplicateM_Sym0 :: TyFun Natural (m a ~> m ()) -> Type)

Defined in Control.Monad.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ReplicateMSym0 :: TyFun Natural (m a ~> m [a]) -> Type)

Defined in Control.Monad.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings ((!!@#@$$) a6989586621680286938 :: TyFun Natural a -> Type)

Defined in Data.List.NonEmpty.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings ((!!@#@$$) a6989586621679544266 :: TyFun Natural a -> Type)

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ElemIndexSym1 a6989586621679544658 :: TyFun [a] (Maybe Natural) -> Type)

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (FindIndexSym1 a6989586621679544640 :: TyFun [a] (Maybe Natural) -> Type)

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ElemIndicesSym1 a6989586621679544649 :: TyFun [a] [Natural] -> Type)

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (FindIndicesSym1 a6989586621679544619 :: TyFun [a] [Natural] -> Type)

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (LengthSym0 :: TyFun (t a) Natural -> Type)

Defined in Data.Foldable.Singletons

Methods

suppressUnusedWarnings :: ()

SingI1 (FindIndexSym1 :: (a ~> Bool) -> TyFun [a] (Maybe Natural) -> Type)

Defined in Data.List.Singletons.Internal

Methods

liftSing :: forall (x :: a ~> Bool). Sing x -> Sing (FindIndexSym1 x)

SingI1 (FindIndicesSym1 :: (a ~> Bool) -> TyFun [a] [Natural] -> Type)

Defined in Data.List.Singletons.Internal

Methods

liftSing :: forall (x :: a ~> Bool). Sing x -> Sing (FindIndicesSym1 x)

type Demote Natural

Defined in GHC.TypeLits.Singletons.Internal

type Demote Natural = Natural

type Sing

Defined in GHC.TypeLits.Singletons.Internal

type Sing = SNat

type FromEnum (a :: Natural)

Defined in Data.Singletons.Base.Enum

type FromEnum (a :: Natural)

type Pred (a :: Natural)

Defined in Data.Singletons.Base.Enum

type Pred (a :: Natural)

type Succ (a :: Natural)

Defined in Data.Singletons.Base.Enum

type Succ (a :: Natural)

type ToEnum a

Defined in Data.Singletons.Base.Enum

type ToEnum a

type Abs (a :: Natural)

Defined in GHC.Num.Singletons

type Abs (a :: Natural) = a

type FromInteger a

Defined in GHC.Num.Singletons

type FromInteger a = a

type Negate (a :: Natural)

Defined in GHC.Num.Singletons

type Negate (a :: Natural) = Error "Cannot negate a natural number" :: Natural

type Signum (a :: Natural)

Defined in GHC.Num.Singletons

type Signum (a :: Natural)

type Show_ (arg :: Natural)

Defined in Text.Show.Singletons

type Show_ (arg :: Natural)

type Compare (a :: Natural) (b :: Natural)

Defined in GHC.Internal.Data.Type.Ord

type Compare (a :: Natural) (b :: Natural) = CmpNat a b

type (arg :: Natural) /= (arg1 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Natural) /= (arg1 :: Natural)

type (x :: Natural) == (y :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type (x :: Natural) == (y :: Natural) = DefaultEq x y

type (arg :: Natural) < (arg1 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Natural) < (arg1 :: Natural)

type (arg :: Natural) <= (arg1 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Natural) <= (arg1 :: Natural)

type (arg :: Natural) > (arg1 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Natural) > (arg1 :: Natural)

type (arg :: Natural) >= (arg1 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Natural) >= (arg1 :: Natural)

type Compare (a :: Natural) (b :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type Compare (a :: Natural) (b :: Natural) = CmpNat a b

type Max (arg :: Natural) (arg1 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type Max (arg :: Natural) (arg1 :: Natural)

type Min (arg :: Natural) (arg1 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type Min (arg :: Natural) (arg1 :: Natural)

type EnumFromTo (a1 :: Natural) (a2 :: Natural)

Defined in Data.Singletons.Base.Enum

type EnumFromTo (a1 :: Natural) (a2 :: Natural)

type (a :: Natural) * (b :: Natural)

Defined in GHC.Num.Singletons

type (a :: Natural) * (b :: Natural) = a * b

type (a :: Natural) + (b :: Natural)

Defined in GHC.Num.Singletons

type (a :: Natural) + (b :: Natural) = a + b

type (a :: Natural) - (b :: Natural)

Defined in GHC.Num.Singletons

type (a :: Natural) - (b :: Natural) = a - b

type ShowList (arg1 :: [Natural]) arg2

Defined in Text.Show.Singletons

type ShowList (arg1 :: [Natural]) arg2

type Apply KnownNatSym0 (a6989586621679377837 :: Nat)

Defined in GHC.TypeLits.Singletons

type Apply KnownNatSym0 (a6989586621679377837 :: Nat) = KnownNat a6989586621679377837

type Apply Log2Sym0 (a6989586621679378480 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply Log2Sym0 (a6989586621679378480 :: Natural) = Log2 a6989586621679378480

type Apply NatToCharSym0 (a6989586621679382082 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply NatToCharSym0 (a6989586621679382082 :: Natural) = NatToChar a6989586621679382082

type Apply CharToNatSym0 (a6989586621679381852 :: Char)

Defined in GHC.TypeLits.Singletons

type Apply CharToNatSym0 (a6989586621679381852 :: Char) = CharToNat a6989586621679381852

type EnumFromThenTo (a1 :: Natural) (a2 :: Natural) (a3 :: Natural)

Defined in Data.Singletons.Base.Enum

type EnumFromThenTo (a1 :: Natural) (a2 :: Natural) (a3 :: Natural)

type ShowsPrec _1 (n :: Natural) x

Defined in Text.Show.Singletons

type ShowsPrec _1 (n :: Natural) x

type Apply (DivSym1 a6989586621679378709 :: TyFun Natural Natural -> Type) (a6989586621679378710 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (DivSym1 a6989586621679378709 :: TyFun Natural Natural -> Type) (a6989586621679378710 :: Natural) = Div a6989586621679378709 a6989586621679378710

type Apply (ModSym1 a6989586621679379154 :: TyFun Natural Natural -> Type) (a6989586621679379155 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (ModSym1 a6989586621679379154 :: TyFun Natural Natural -> Type) (a6989586621679379155 :: Natural) = Mod a6989586621679379154 a6989586621679379155

type Apply (QuotSym1 a6989586621679379824 :: TyFun Natural Natural -> Type) (a6989586621679379825 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (QuotSym1 a6989586621679379824 :: TyFun Natural Natural -> Type) (a6989586621679379825 :: Natural) = Quot a6989586621679379824 a6989586621679379825

type Apply (RemSym1 a6989586621679379813 :: TyFun Natural Natural -> Type) (a6989586621679379814 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (RemSym1 a6989586621679379813 :: TyFun Natural Natural -> Type) (a6989586621679379814 :: Natural) = Rem a6989586621679379813 a6989586621679379814

type Apply ((^@#@$$) a6989586621679369666 :: TyFun Natural Natural -> Type) (a6989586621679369667 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type Apply ((^@#@$$) a6989586621679369666 :: TyFun Natural Natural -> Type) (a6989586621679369667 :: Natural) = a6989586621679369666 ^ a6989586621679369667

type Apply (ToEnumSym0 :: TyFun Natural a -> Type) (a6989586621679414060 :: Natural)

Defined in Data.Singletons.Base.Enum

type Apply (ToEnumSym0 :: TyFun Natural a -> Type) (a6989586621679414060 :: Natural) = ToEnum a6989586621679414060 :: a

type Apply (FromIntegerSym0 :: TyFun Natural a -> Type) (a6989586621679398591 :: Natural)

Defined in GHC.Num.Singletons

type Apply (FromIntegerSym0 :: TyFun Natural a -> Type) (a6989586621679398591 :: Natural) = FromInteger a6989586621679398591 :: a

type Apply (FromEnumSym0 :: TyFun a Natural -> Type) (a6989586621679414063 :: a)

Defined in Data.Singletons.Base.Enum

type Apply (FromEnumSym0 :: TyFun a Natural -> Type) (a6989586621679414063 :: a) = FromEnum a6989586621679414063

type Apply ((!!@#@$$) a6989586621680286938 :: TyFun Natural a -> Type) (a6989586621680286939 :: Natural)

Defined in Data.List.NonEmpty.Singletons

type Apply ((!!@#@$$) a6989586621680286938 :: TyFun Natural a -> Type) (a6989586621680286939 :: Natural) = a6989586621680286938 !! a6989586621680286939

type Apply ((!!@#@$$) a6989586621679544266 :: TyFun Natural a -> Type) (a6989586621679544267 :: Natural)

Defined in Data.List.Singletons.Internal

type Apply ((!!@#@$$) a6989586621679544266 :: TyFun Natural a -> Type) (a6989586621679544267 :: Natural) = a6989586621679544266 !! a6989586621679544267

type Apply DivSym0 (a6989586621679378709 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply DivSym0 (a6989586621679378709 :: Natural) = DivSym1 a6989586621679378709

type Apply ModSym0 (a6989586621679379154 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply ModSym0 (a6989586621679379154 :: Natural) = ModSym1 a6989586621679379154

type Apply QuotSym0 (a6989586621679379824 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply QuotSym0 (a6989586621679379824 :: Natural) = QuotSym1 a6989586621679379824

type Apply RemSym0 (a6989586621679379813 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply RemSym0 (a6989586621679379813 :: Natural) = RemSym1 a6989586621679379813

type Apply (^@#@$) (a6989586621679369666 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type Apply (^@#@$) (a6989586621679369666 :: Natural) = (^@#@$$) a6989586621679369666

type Apply DivModSym0 (a6989586621679379842 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply DivModSym0 (a6989586621679379842 :: Natural) = DivModSym1 a6989586621679379842

type Apply QuotRemSym0 (a6989586621679379835 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply QuotRemSym0 (a6989586621679379835 :: Natural) = QuotRemSym1 a6989586621679379835

type Apply (SplitAtSym0 :: TyFun Natural (NonEmpty a ~> ([a], [a])) -> Type) (a6989586621680287146 :: Natural)

Defined in Data.List.NonEmpty.Singletons

type Apply (SplitAtSym0 :: TyFun Natural (NonEmpty a ~> ([a], [a])) -> Type) (a6989586621680287146 :: Natural) = SplitAtSym1 a6989586621680287146 :: TyFun (NonEmpty a) ([a], [a]) -> Type

type Apply (DropSym0 :: TyFun Natural (NonEmpty a ~> [a]) -> Type) (a6989586621680287155 :: Natural)

Defined in Data.List.NonEmpty.Singletons

type Apply (DropSym0 :: TyFun Natural (NonEmpty a ~> [a]) -> Type) (a6989586621680287155 :: Natural) = DropSym1 a6989586621680287155 :: TyFun (NonEmpty a) [a] -> Type

type Apply (TakeSym0 :: TyFun Natural (NonEmpty a ~> [a]) -> Type) (a6989586621680287164 :: Natural)

Defined in Data.List.NonEmpty.Singletons

type Apply (TakeSym0 :: TyFun Natural (NonEmpty a ~> [a]) -> Type) (a6989586621680287164 :: Natural) = TakeSym1 a6989586621680287164 :: TyFun (NonEmpty a) [a] -> Type

type Apply (SplitAtSym0 :: TyFun Natural ([a] ~> ([a], [a])) -> Type) (a6989586621679544425 :: Natural)

Defined in Data.List.Singletons.Internal

type Apply (SplitAtSym0 :: TyFun Natural ([a] ~> ([a], [a])) -> Type) (a6989586621679544425 :: Natural) = SplitAtSym1 a6989586621679544425 :: TyFun [a] ([a], [a]) -> Type

type Apply (DropSym0 :: TyFun Natural ([a] ~> [a]) -> Type) (a6989586621679544432 :: Natural)

Defined in Data.List.Singletons.Internal

type Apply (DropSym0 :: TyFun Natural ([a] ~> [a]) -> Type) (a6989586621679544432 :: Natural) = DropSym1 a6989586621679544432 :: TyFun [a] [a] -> Type

type Apply (TakeSym0 :: TyFun Natural ([a] ~> [a]) -> Type) (a6989586621679544445 :: Natural)

Defined in Data.List.Singletons.Internal

type Apply (TakeSym0 :: TyFun Natural ([a] ~> [a]) -> Type) (a6989586621679544445 :: Natural) = TakeSym1 a6989586621679544445 :: TyFun [a] [a] -> Type

type Apply (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type) (a6989586621679807409 :: Natural)

Defined in Text.Show.Singletons

type Apply (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type) (a6989586621679807409 :: Natural) = ShowsPrecSym1 a6989586621679807409 :: TyFun a (Symbol ~> Symbol) -> Type

type Apply (ReplicateSym0 :: TyFun Natural (a ~> [a]) -> Type) (a6989586621679544286 :: Natural)

Defined in Data.List.Singletons.Internal

type Apply (ReplicateSym0 :: TyFun Natural (a ~> [a]) -> Type) (a6989586621679544286 :: Natural) = ReplicateSym1 a6989586621679544286 :: TyFun a [a] -> Type

type Apply (DivModSym1 a6989586621679379842 :: TyFun Natural (Natural, Natural) -> Type) (a6989586621679379843 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (DivModSym1 a6989586621679379842 :: TyFun Natural (Natural, Natural) -> Type) (a6989586621679379843 :: Natural) = DivMod a6989586621679379842 a6989586621679379843

type Apply (QuotRemSym1 a6989586621679379835 :: TyFun Natural (Natural, Natural) -> Type) (a6989586621679379836 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (QuotRemSym1 a6989586621679379835 :: TyFun Natural (Natural, Natural) -> Type) (a6989586621679379836 :: Natural) = QuotRem a6989586621679379835 a6989586621679379836

type Apply (ElemIndexSym0 :: TyFun a ([a] ~> Maybe Natural) -> Type) (a6989586621679544658 :: a)

Defined in Data.List.Singletons.Internal

type Apply (ElemIndexSym0 :: TyFun a ([a] ~> Maybe Natural) -> Type) (a6989586621679544658 :: a) = ElemIndexSym1 a6989586621679544658

type Apply (ElemIndicesSym0 :: TyFun a ([a] ~> [Natural]) -> Type) (a6989586621679544649 :: a)

Defined in Data.List.Singletons.Internal

type Apply (ElemIndicesSym0 :: TyFun a ([a] ~> [Natural]) -> Type) (a6989586621679544649 :: a) = ElemIndicesSym1 a6989586621679544649

type Apply (ReplicateM_Sym0 :: TyFun Natural (m a ~> m ()) -> Type) (a6989586621680354872 :: Natural)

Defined in Control.Monad.Singletons

type Apply (ReplicateM_Sym0 :: TyFun Natural (m a ~> m ()) -> Type) (a6989586621680354872 :: Natural) = ReplicateM_Sym1 a6989586621680354872 :: TyFun (m a) (m ()) -> Type

type Apply (ReplicateMSym0 :: TyFun Natural (m a ~> m [a]) -> Type) (a6989586621680354894 :: Natural)

Defined in Control.Monad.Singletons

type Apply (ReplicateMSym0 :: TyFun Natural (m a ~> m [a]) -> Type) (a6989586621680354894 :: Natural) = ReplicateMSym1 a6989586621680354894 :: TyFun (m a) (m [a]) -> Type

type Apply (LengthSym0 :: TyFun (NonEmpty a) Natural -> Type) (a6989586621680287381 :: NonEmpty a)

Defined in Data.List.NonEmpty.Singletons

type Apply (LengthSym0 :: TyFun (NonEmpty a) Natural -> Type) (a6989586621680287381 :: NonEmpty a) = Length a6989586621680287381

type Apply (LengthSym0 :: TyFun (t a) Natural -> Type) (a6989586621679922563 :: t a)

Defined in Data.Foldable.Singletons

type Apply (LengthSym0 :: TyFun (t a) Natural -> Type) (a6989586621679922563 :: t a) = Length a6989586621679922563

type Apply (ElemIndexSym1 a6989586621679544658 :: TyFun [a] (Maybe Natural) -> Type) (a6989586621679544659 :: [a])

Defined in Data.List.Singletons.Internal

type Apply (ElemIndexSym1 a6989586621679544658 :: TyFun [a] (Maybe Natural) -> Type) (a6989586621679544659 :: [a]) = ElemIndex a6989586621679544658 a6989586621679544659

type Apply (FindIndexSym1 a6989586621679544640 :: TyFun [a] (Maybe Natural) -> Type) (a6989586621679544641 :: [a])

Defined in Data.List.Singletons.Internal

type Apply (FindIndexSym1 a6989586621679544640 :: TyFun [a] (Maybe Natural) -> Type) (a6989586621679544641 :: [a]) = FindIndex a6989586621679544640 a6989586621679544641

type Apply (ElemIndicesSym1 a6989586621679544649 :: TyFun [a] [Natural] -> Type) (a6989586621679544650 :: [a])

Defined in Data.List.Singletons.Internal

type Apply (ElemIndicesSym1 a6989586621679544649 :: TyFun [a] [Natural] -> Type) (a6989586621679544650 :: [a]) = ElemIndices a6989586621679544649 a6989586621679544650

type Apply (FindIndicesSym1 a6989586621679544619 :: TyFun [a] [Natural] -> Type) (a6989586621679544620 :: [a])

Defined in Data.List.Singletons.Internal

type Apply (FindIndicesSym1 a6989586621679544619 :: TyFun [a] [Natural] -> Type) (a6989586621679544620 :: [a]) = FindIndices a6989586621679544619 a6989586621679544620

type Apply ((!!@#@$) :: TyFun (NonEmpty a) (Natural ~> a) -> Type) (a6989586621680286938 :: NonEmpty a)

Defined in Data.List.NonEmpty.Singletons

type Apply ((!!@#@$) :: TyFun (NonEmpty a) (Natural ~> a) -> Type) (a6989586621680286938 :: NonEmpty a) = (!!@#@$$) a6989586621680286938

type Apply ((!!@#@$) :: TyFun [a] (Natural ~> a) -> Type) (a6989586621679544266 :: [a])

Defined in Data.List.Singletons.Internal

type Apply ((!!@#@$) :: TyFun [a] (Natural ~> a) -> Type) (a6989586621679544266 :: [a]) = (!!@#@$$) a6989586621679544266

type Apply (FindIndexSym0 :: TyFun (a ~> Bool) ([a] ~> Maybe Natural) -> Type) (a6989586621679544640 :: a ~> Bool)

Defined in Data.List.Singletons.Internal

type Apply (FindIndexSym0 :: TyFun (a ~> Bool) ([a] ~> Maybe Natural) -> Type) (a6989586621679544640 :: a ~> Bool) = FindIndexSym1 a6989586621679544640

type Apply (FindIndicesSym0 :: TyFun (a ~> Bool) ([a] ~> [Natural]) -> Type) (a6989586621679544619 :: a ~> Bool)

Defined in Data.List.Singletons.Internal

type Apply (FindIndicesSym0 :: TyFun (a ~> Bool) ([a] ~> [Natural]) -> Type) (a6989586621679544619 :: a ~> Bool) = FindIndicesSym1 a6989586621679544619

data Symbol

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

Instances

Monoid Symbol

Defined in GHC.TypeLits.Singletons

Methods

mempty :: Symbol

mappend :: Symbol -> Symbol -> Symbol

mconcat :: [Symbol] -> Symbol

Semigroup Symbol

Defined in GHC.TypeLits.Singletons

Methods

(<>) :: Symbol -> Symbol -> Symbol

sconcat :: NonEmpty Symbol -> Symbol

stimes :: Integral b => b -> Symbol -> Symbol

IsString Symbol

Defined in GHC.TypeLits.Singletons

Methods

fromString :: String -> Symbol

SingKind Symbol

Since: base-4.9.0.0

Defined in GHC.Internal.Generics

Associated Types

type DemoteRep Symbol

Defined in GHC.Internal.Generics

type DemoteRep Symbol = String

Methods

fromSing :: forall (a :: Symbol). Sing a -> DemoteRep Symbol

Show Symbol

Defined in GHC.TypeLits.Singletons

Methods

showsPrec :: Int -> Symbol -> ShowS

show :: Symbol -> String

showList :: [Symbol] -> ShowS

Eq Symbol

This bogus instance is helpful for people who want to define functions over Symbols that will only be used at the type level or as singletons.

Defined in GHC.TypeLits.Singletons

Methods

(==) :: Symbol -> Symbol -> Bool

(/=) :: Symbol -> Symbol -> Bool

Ord Symbol

Defined in GHC.TypeLits.Singletons

Methods

compare :: Symbol -> Symbol -> Ordering

(<) :: Symbol -> Symbol -> Bool

(<=) :: Symbol -> Symbol -> Bool

(>) :: Symbol -> Symbol -> Bool

(>=) :: Symbol -> Symbol -> Bool

max :: Symbol -> Symbol -> Symbol

min :: Symbol -> Symbol -> Symbol

SingKind PErrorMessage

Defined in Data.Singletons.Base.TypeError

Associated Types

type Demote PErrorMessage

Defined in Data.Singletons.Base.TypeError

type Demote PErrorMessage = ErrorMessage

Methods

fromSing :: forall (a :: PErrorMessage). Sing a -> Demote PErrorMessage

toSing :: Demote PErrorMessage -> SomeSing PErrorMessage

SingKind Symbol

Defined in GHC.TypeLits.Singletons.Internal

Associated Types

type Demote Symbol

Defined in GHC.TypeLits.Singletons.Internal

type Demote Symbol = Text

Methods

fromSing :: forall (a :: Symbol). Sing a -> Demote Symbol

toSing :: Demote Symbol -> SomeSing Symbol

SDecide Symbol

Defined in GHC.TypeLits.Singletons.Internal

Methods

(%~) :: forall (a :: Symbol) (b :: Symbol). Sing a -> Sing b -> Decision (a :~: b)

PEq Symbol

Defined in GHC.TypeLits.Singletons.Internal

Associated Types

type (x :: Symbol) == (y :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type (x :: Symbol) == (y :: Symbol) = DefaultEq x y

type (arg :: Symbol) /= (arg1 :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Symbol) /= (arg1 :: Symbol)

SEq Symbol

Defined in GHC.TypeLits.Singletons.Internal

Methods

(%==) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (t1 == t2)

(%/=) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (t1 /= t2)

PMonoid Symbol

Defined in Data.Monoid.Singletons

Associated Types

type Mempty

Defined in Data.Monoid.Singletons

type Mempty

type Mappend (arg1 :: Symbol) (arg2 :: Symbol)

Defined in Data.Monoid.Singletons

type Mappend (arg1 :: Symbol) (arg2 :: Symbol)

type Mconcat (arg :: [Symbol])

Defined in Data.Monoid.Singletons

type Mconcat (arg :: [Symbol])

SMonoid Symbol

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing (Mempty :: Symbol)

sMappend :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Mappend t1 t2)

sMconcat :: forall (t :: [Symbol]). Sing t -> Sing (Mconcat t)

POrd Symbol

Defined in GHC.TypeLits.Singletons.Internal

Associated Types

type Compare (a :: Symbol) (b :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type Compare (a :: Symbol) (b :: Symbol) = CmpSymbol a b

type (arg :: Symbol) < (arg1 :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Symbol) < (arg1 :: Symbol)

type (arg :: Symbol) <= (arg1 :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Symbol) <= (arg1 :: Symbol)

type (arg :: Symbol) > (arg1 :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Symbol) > (arg1 :: Symbol)

type (arg :: Symbol) >= (arg1 :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Symbol) >= (arg1 :: Symbol)

type Max (arg :: Symbol) (arg1 :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type Max (arg :: Symbol) (arg1 :: Symbol)

type Min (arg :: Symbol) (arg1 :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type Min (arg :: Symbol) (arg1 :: Symbol)

SOrd Symbol

Defined in GHC.TypeLits.Singletons.Internal

Methods

sCompare :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Compare t1 t2)

(%<) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (t1 < t2)

(%<=) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (t1 <= t2)

(%>) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (t1 > t2)

(%>=) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (t1 >= t2)

sMax :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Max t1 t2)

sMin :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Min t1 t2)

PSemigroup Symbol

Defined in GHC.TypeLits.Singletons.Internal

Associated Types

type (a :: Symbol) <> (b :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type (a :: Symbol) <> (b :: Symbol) = AppendSymbol a b

type Sconcat (arg :: NonEmpty Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type Sconcat (arg :: NonEmpty Symbol)

SSemigroup Symbol

Defined in GHC.TypeLits.Singletons.Internal

Methods

(%<>) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (t1 <> t2)

sSconcat :: forall (t :: NonEmpty Symbol). Sing t -> Sing (Sconcat t)

PIsString Symbol

Defined in Data.String.Singletons

Associated Types

type FromString a

Defined in Data.String.Singletons

type FromString a = a

SIsString Symbol

Defined in Data.String.Singletons

Methods

sFromString :: forall (t :: Symbol). Sing t -> Sing (FromString t :: Symbol)

PShow Symbol

Defined in Text.Show.Singletons

Associated Types

type ShowsPrec _1 (s :: Symbol) x

Defined in Text.Show.Singletons

type ShowsPrec _1 (s :: Symbol) x

type Show_ (arg :: Symbol)

Defined in Text.Show.Singletons

type Show_ (arg :: Symbol)

type ShowList (arg1 :: [Symbol]) arg2

Defined in Text.Show.Singletons

type ShowList (arg1 :: [Symbol]) arg2

SShow Symbol

Defined in Text.Show.Singletons

Methods

sShowsPrec :: forall (t1 :: Natural) (t2 :: Symbol) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (ShowsPrec t1 t2 t3)

sShow_ :: forall (t :: Symbol). Sing t -> Sing (Show_ t)

sShowList :: forall (t1 :: [Symbol]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (ShowList t1 t2)

TestCoercion SSymbol

Since: base-4.18.0.0

Defined in GHC.Internal.TypeLits

Methods

testCoercion :: forall (a :: Symbol) (b :: Symbol). SSymbol a -> SSymbol b -> Maybe (Coercion a b)

TestEquality SSymbol

Since: base-4.18.0.0

Defined in GHC.Internal.TypeLits

Methods

testEquality :: forall (a :: Symbol) (b :: Symbol). SSymbol a -> SSymbol b -> Maybe (a :~: b)

KnownSymbol a => SingI (a :: Symbol)

Since: base-4.9.0.0

Defined in GHC.Internal.Generics

Methods

sing :: Sing a

KnownSymbol n => SingI (n :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing n

SingI2 ('(:$$:) :: ErrorMessage' Symbol -> ErrorMessage' Symbol -> ErrorMessage' Symbol)

Defined in Data.Singletons.Base.TypeError

Methods

liftSing2 :: forall (x :: PErrorMessage) (y :: PErrorMessage). Sing x -> Sing y -> Sing (x ':$$: y)

SingI2 ('(:<>:) :: ErrorMessage' Symbol -> ErrorMessage' Symbol -> ErrorMessage' Symbol)

Defined in Data.Singletons.Base.TypeError

Methods

liftSing2 :: forall (x :: PErrorMessage) (y :: PErrorMessage). Sing x -> Sing y -> Sing (x ':<>: y)

SingI1 ('Text :: Symbol -> ErrorMessage' Symbol)

Defined in Data.Singletons.Base.TypeError

Methods

liftSing :: forall (x :: Symbol). Sing x -> Sing ('Text x)

SingI e1 => SingI1 ('(:$$:) e1 :: ErrorMessage' Symbol -> ErrorMessage' Symbol)

Defined in Data.Singletons.Base.TypeError

Methods

liftSing :: forall (x :: PErrorMessage). Sing x -> Sing (e1 ':$$: x)

SingI e1 => SingI1 ('(:<>:) e1 :: ErrorMessage' Symbol -> ErrorMessage' Symbol)

Defined in Data.Singletons.Base.TypeError

Methods

liftSing :: forall (x :: PErrorMessage). Sing x -> Sing (e1 ':<>: x)

SingI1 ('ShowType :: t -> ErrorMessage' Symbol)

Defined in Data.Singletons.Base.TypeError

Methods

liftSing :: forall (x :: t). Sing x -> Sing ('ShowType x :: ErrorMessage' Symbol)

SShow a => SingI2 (ShowsPrecSym2 :: Natural -> a -> TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

liftSing2 :: forall (x :: Natural) (y :: a). Sing x -> Sing y -> Sing (ShowsPrecSym2 x y)

SingI t => SingI ('Text t :: ErrorMessage' Symbol)

Defined in Data.Singletons.Base.TypeError

Methods

sing :: Sing ('Text t)

SingI1 ShowParenSym1

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: Bool). Sing x -> Sing (ShowParenSym1 x)

SingI1 ShowCharSym1

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: Char). Sing x -> Sing (ShowCharSym1 x)

SingI1 ConsSymbolSym1

Defined in GHC.TypeLits.Singletons

Methods

liftSing :: forall (x :: Char). Sing x -> Sing (ConsSymbolSym1 x)

SingI1 ShowStringSym1

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: Symbol). Sing x -> Sing (ShowStringSym1 x)

SingI1 ((:$$:@#@$$) :: ErrorMessage' Symbol -> TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol) -> Type)

Defined in Data.Singletons.Base.TypeError

Methods

liftSing :: forall (x :: PErrorMessage). Sing x -> Sing ((:$$:@#@$$) x)

SingI1 ((:<>:@#@$$) :: ErrorMessage' Symbol -> TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol) -> Type)

Defined in Data.Singletons.Base.TypeError

Methods

liftSing :: forall (x :: PErrorMessage). Sing x -> Sing ((:<>:@#@$$) x)

SShow a => SingI1 (ShowsPrecSym1 :: Natural -> TyFun a (Symbol ~> Symbol) -> Type)

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: Natural). Sing x -> Sing (ShowsPrecSym1 x :: TyFun a (Symbol ~> Symbol) -> Type)

SShow a => SingI1 (ShowsSym1 :: a -> TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: a). Sing x -> Sing (ShowsSym1 x)

(SShow a, SingI d) => SingI1 (ShowsPrecSym2 d :: a -> TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: a). Sing x -> Sing (ShowsPrecSym2 d x)

SingI2 ShowParenSym2

Defined in Text.Show.Singletons

Methods

liftSing2 :: forall (x :: Bool) (y :: Symbol ~> Symbol). Sing x -> Sing y -> Sing (ShowParenSym2 x y)

(SingI e1, SingI e2) => SingI (e1 ':$$: e2 :: ErrorMessage' Symbol)

Defined in Data.Singletons.Base.TypeError

Methods

sing :: Sing (e1 ':$$: e2)

(SingI e1, SingI e2) => SingI (e1 ':<>: e2 :: ErrorMessage' Symbol)

Defined in Data.Singletons.Base.TypeError

Methods

sing :: Sing (e1 ':<>: e2)

SingI ty => SingI ('ShowType ty :: ErrorMessage' Symbol)

Defined in Data.Singletons.Base.TypeError

Methods

sing :: Sing ('ShowType ty :: ErrorMessage' Symbol)

SShow a => SingI1 (ShowListSym1 :: [a] -> TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: [a]). Sing x -> Sing (ShowListSym1 x)

SingI d => SingI1 (ShowListWithSym2 d :: [a] -> TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: [a]). Sing x -> Sing (ShowListWithSym2 d x)

SingI ShowParenSym0

Defined in Text.Show.Singletons

Methods

sing :: Sing ShowParenSym0

SingI ShowCharSym0

Defined in Text.Show.Singletons

Methods

sing :: Sing ShowCharSym0

SingI UnlinesSym0

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing UnlinesSym0

SingI UnwordsSym0

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing UnwordsSym0

SingI ShowStringSym0

Defined in Text.Show.Singletons

Methods

sing :: Sing ShowStringSym0

SingI ShowCommaSpaceSym0

Defined in Text.Show.Singletons

Methods

sing :: Sing ShowCommaSpaceSym0

SingI ShowSpaceSym0

Defined in Text.Show.Singletons

Methods

sing :: Sing ShowSpaceSym0

SingI ConsSymbolSym0

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing ConsSymbolSym0

SingI UnconsSymbolSym0

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing UnconsSymbolSym0

SuppressUnusedWarnings ShowParenSym0

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings ConsSymbolSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings ShowCharSym0

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings UnlinesSym0

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings UnwordsSym0

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings ShowStringSym0

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings UnconsSymbolSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings KnownSymbolSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings ShowCommaSpaceSym0

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings ShowSpaceSym0

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SingI d => SingI (ShowParenSym1 d :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type)

Defined in Text.Show.Singletons

Methods

sing :: Sing (ShowParenSym1 d)

SingI (ShowListWithSym0 :: TyFun (a ~> (Symbol ~> Symbol)) ([a] ~> (Symbol ~> Symbol)) -> Type)

Defined in Text.Show.Singletons

Methods

sing :: Sing (ShowListWithSym0 :: TyFun (a ~> (Symbol ~> Symbol)) ([a] ~> (Symbol ~> Symbol)) -> Type)

SingI ((:$$:@#@$) :: TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol ~> ErrorMessage' Symbol) -> Type)

Defined in Data.Singletons.Base.TypeError

Methods

sing :: Sing ((:$$:@#@$) :: TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol ~> ErrorMessage' Symbol) -> Type)

SingI ((:<>:@#@$) :: TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol ~> ErrorMessage' Symbol) -> Type)

Defined in Data.Singletons.Base.TypeError

Methods

sing :: Sing ((:<>:@#@$) :: TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol ~> ErrorMessage' Symbol) -> Type)

SShow a => SingI (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type)

Defined in Text.Show.Singletons

Methods

sing :: Sing (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type)

SShow a => SingI (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type)

Defined in Text.Show.Singletons

Methods

sing :: Sing (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type)

SingI (TextSym0 :: TyFun Symbol (ErrorMessage' Symbol) -> Type)

Defined in Data.Singletons.Base.TypeError

Methods

sing :: Sing (TextSym0 :: TyFun Symbol (ErrorMessage' Symbol) -> Type)

SingI d => SingI (ShowCharSym1 d :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

sing :: Sing (ShowCharSym1 d)

SingI d => SingI (ShowStringSym1 d :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

sing :: Sing (ShowStringSym1 d)

SIsString a => SingI (FromStringSym0 :: TyFun Symbol a -> Type)

Defined in Data.String.Singletons

Methods

sing :: Sing (FromStringSym0 :: TyFun Symbol a -> Type)

SingI (ErrorSym0 :: TyFun Symbol a -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing (ErrorSym0 :: TyFun Symbol a -> Type)

SingI (ErrorWithoutStackTraceSym0 :: TyFun Symbol a -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing (ErrorWithoutStackTraceSym0 :: TyFun Symbol a -> Type)

SShow a => SingI (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type)

Defined in Text.Show.Singletons

Methods

sing :: Sing (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type)

SShow a => SingI (Show_Sym0 :: TyFun a Symbol -> Type)

Defined in Text.Show.Singletons

Methods

sing :: Sing (Show_Sym0 :: TyFun a Symbol -> Type)

SingI (TypeErrorSym0 :: TyFun PErrorMessage a -> Type)

Defined in Data.Singletons.Base.TypeError

Methods

sing :: Sing (TypeErrorSym0 :: TyFun PErrorMessage a -> Type)

SingI x => SingI (ConsSymbolSym1 x :: TyFun Symbol Symbol -> Type)

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing (ConsSymbolSym1 x)

SuppressUnusedWarnings (ShowParenSym1 a6989586621679807346 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ShowListWithSym0 :: TyFun (a ~> (Symbol ~> Symbol)) ([a] ~> (Symbol ~> Symbol)) -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (TypeErrorSym0 :: TyFun PErrorMessage a -> Type)

Defined in Data.Singletons.Base.TypeError

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ConsSymbolSym1 a6989586621679381116 :: TyFun Symbol Symbol -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ShowCharSym1 a6989586621679807375 :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ShowStringSym1 a6989586621679807364 :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (FromStringSym0 :: TyFun Symbol a -> Type)

Defined in Data.String.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ErrorSym0 :: TyFun Symbol a -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ErrorWithoutStackTraceSym0 :: TyFun Symbol a -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (Show_Sym0 :: TyFun a Symbol -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SingI2 (ShowListWithSym2 :: (a ~> (Symbol ~> Symbol)) -> [a] -> TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

liftSing2 :: forall (x :: a ~> (Symbol ~> Symbol)) (y :: [a]). Sing x -> Sing y -> Sing (ShowListWithSym2 x y)

SingI x => SingI ((:$$:@#@$$) x :: TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol) -> Type)

Defined in Data.Singletons.Base.TypeError

Methods

sing :: Sing ((:$$:@#@$$) x)

SingI x => SingI ((:<>:@#@$$) x :: TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol) -> Type)

Defined in Data.Singletons.Base.TypeError

Methods

sing :: Sing ((:<>:@#@$$) x)

SingI d => SingI (ShowListWithSym1 d :: TyFun [a] (Symbol ~> Symbol) -> Type)

Defined in Text.Show.Singletons

Methods

sing :: Sing (ShowListWithSym1 d)

(SShow a, SingI d) => SingI (ShowListSym1 d :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

sing :: Sing (ShowListSym1 d)

(SingI d1, SingI d2) => SingI (ShowParenSym2 d1 d2 :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

sing :: Sing (ShowParenSym2 d1 d2)

(SShow a, SingI d) => SingI (ShowsSym1 d :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

sing :: Sing (ShowsSym1 d)

(SShow a, SingI d) => SingI (ShowsPrecSym1 d :: TyFun a (Symbol ~> Symbol) -> Type)

Defined in Text.Show.Singletons

Methods

sing :: Sing (ShowsPrecSym1 d :: TyFun a (Symbol ~> Symbol) -> Type)

SingI (ShowTypeSym0 :: TyFun t (ErrorMessage' Symbol) -> Type)

Defined in Data.Singletons.Base.TypeError

Methods

sing :: Sing (ShowTypeSym0 :: TyFun t (ErrorMessage' Symbol) -> Type)

SuppressUnusedWarnings (ShowListWithSym1 a6989586621679807383 :: TyFun [a] (Symbol ~> Symbol) -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ShowListSym1 a6989586621679807418 :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ShowParenSym2 a6989586621679807346 a6989586621679807347 :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ShowsSym1 a6989586621679807401 :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ShowsPrecSym1 a6989586621679807409 :: TyFun a (Symbol ~> Symbol) -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SingI d => SingI1 (ShowParenSym2 d :: (Symbol ~> Symbol) -> TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: Symbol ~> Symbol). Sing x -> Sing (ShowParenSym2 d x)

SingI1 (ShowListWithSym1 :: (a ~> (Symbol ~> Symbol)) -> TyFun [a] (Symbol ~> Symbol) -> Type)

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: a ~> (Symbol ~> Symbol)). Sing x -> Sing (ShowListWithSym1 x)

(SingI d1, SingI d2) => SingI (ShowListWithSym2 d1 d2 :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

sing :: Sing (ShowListWithSym2 d1 d2)

(SShow a, SingI d1, SingI d2) => SingI (ShowsPrecSym2 d1 d2 :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

sing :: Sing (ShowsPrecSym2 d1 d2)

SuppressUnusedWarnings (ShowListWithSym2 a6989586621679807383 a6989586621679807384 :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ShowsPrecSym2 a6989586621679807409 a6989586621679807410 :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

type DemoteRep Symbol

Defined in GHC.Internal.Generics

type DemoteRep Symbol = String

data Sing (s :: Symbol)

Defined in GHC.Internal.Generics

data Sing (s :: Symbol) where

• SSym :: forall (s :: Symbol). KnownSymbol s => Sing s

type Demote PErrorMessage

Defined in Data.Singletons.Base.TypeError

type Demote PErrorMessage = ErrorMessage

type Demote Symbol

Defined in GHC.TypeLits.Singletons.Internal

type Demote Symbol = Text

type Sing

Defined in Data.Singletons.Base.TypeError

type Sing = SErrorMessage

type Sing

Defined in GHC.TypeLits.Singletons.Internal

type Sing = SSymbol

type Mempty

Defined in Data.Monoid.Singletons

type Mempty

type Mconcat (arg :: [Symbol])

Defined in Data.Monoid.Singletons

type Mconcat (arg :: [Symbol])

type Sconcat (arg :: NonEmpty Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type Sconcat (arg :: NonEmpty Symbol)

type FromString a

Defined in Data.String.Singletons

type FromString a = a

type Show_ (arg :: Symbol)

Defined in Text.Show.Singletons

type Show_ (arg :: Symbol)

type Compare (a :: Symbol) (b :: Symbol)

Defined in GHC.Internal.Data.Type.Ord

type Compare (a :: Symbol) (b :: Symbol) = CmpSymbol a b

type (arg :: Symbol) /= (arg1 :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Symbol) /= (arg1 :: Symbol)

type (x :: Symbol) == (y :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type (x :: Symbol) == (y :: Symbol) = DefaultEq x y

type Mappend (arg1 :: Symbol) (arg2 :: Symbol)

Defined in Data.Monoid.Singletons

type Mappend (arg1 :: Symbol) (arg2 :: Symbol)

type (arg :: Symbol) < (arg1 :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Symbol) < (arg1 :: Symbol)

type (arg :: Symbol) <= (arg1 :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Symbol) <= (arg1 :: Symbol)

type (arg :: Symbol) > (arg1 :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Symbol) > (arg1 :: Symbol)

type (arg :: Symbol) >= (arg1 :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Symbol) >= (arg1 :: Symbol)

type Compare (a :: Symbol) (b :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type Compare (a :: Symbol) (b :: Symbol) = CmpSymbol a b

type Max (arg :: Symbol) (arg1 :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type Max (arg :: Symbol) (arg1 :: Symbol)

type Min (arg :: Symbol) (arg1 :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type Min (arg :: Symbol) (arg1 :: Symbol)

type (a :: Symbol) <> (b :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type (a :: Symbol) <> (b :: Symbol) = AppendSymbol a b

type ShowList (arg1 :: [Symbol]) arg2

Defined in Text.Show.Singletons

type ShowList (arg1 :: [Symbol]) arg2

type Apply KnownSymbolSym0 (a6989586621679377839 :: Symbol)

Defined in GHC.TypeLits.Singletons

type Apply KnownSymbolSym0 (a6989586621679377839 :: Symbol) = KnownSymbol a6989586621679377839

type Apply ShowCommaSpaceSym0 (a6989586621679807326 :: Symbol)

Defined in Text.Show.Singletons

type Apply ShowCommaSpaceSym0 (a6989586621679807326 :: Symbol) = ShowCommaSpace a6989586621679807326

type Apply ShowSpaceSym0 (a6989586621679807332 :: Symbol)

Defined in Text.Show.Singletons

type Apply ShowSpaceSym0 (a6989586621679807332 :: Symbol) = ShowSpace a6989586621679807332

type ShowsPrec _1 (s :: Symbol) x

Defined in Text.Show.Singletons

type ShowsPrec _1 (s :: Symbol) x

type Apply (TypeErrorSym0 :: TyFun PErrorMessage a -> Type) (a6989586621679803716 :: PErrorMessage)

Defined in Data.Singletons.Base.TypeError

type Apply (TypeErrorSym0 :: TyFun PErrorMessage a -> Type) (a6989586621679803716 :: PErrorMessage) = TypeError a6989586621679803716 :: a

type Apply (ConsSymbolSym1 a6989586621679381116 :: TyFun Symbol Symbol -> Type) (a6989586621679381117 :: Symbol)

Defined in GHC.TypeLits.Singletons

type Apply (ConsSymbolSym1 a6989586621679381116 :: TyFun Symbol Symbol -> Type) (a6989586621679381117 :: Symbol) = ConsSymbol a6989586621679381116 a6989586621679381117

type Apply (ShowCharSym1 a6989586621679807375 :: TyFun Symbol Symbol -> Type) (a6989586621679807376 :: Symbol)

Defined in Text.Show.Singletons

type Apply (ShowCharSym1 a6989586621679807375 :: TyFun Symbol Symbol -> Type) (a6989586621679807376 :: Symbol) = ShowChar a6989586621679807375 a6989586621679807376

type Apply (ShowStringSym1 a6989586621679807364 :: TyFun Symbol Symbol -> Type) (a6989586621679807365 :: Symbol)

Defined in Text.Show.Singletons

type Apply (ShowStringSym1 a6989586621679807364 :: TyFun Symbol Symbol -> Type) (a6989586621679807365 :: Symbol) = ShowString a6989586621679807364 a6989586621679807365

type Apply (FromStringSym0 :: TyFun Symbol a -> Type) (a6989586621680338575 :: Symbol)

Defined in Data.String.Singletons

type Apply (FromStringSym0 :: TyFun Symbol a -> Type) (a6989586621680338575 :: Symbol) = FromString a6989586621680338575 :: a

type Apply (ErrorSym0 :: TyFun Symbol a -> Type) (a6989586621679368947 :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type Apply (ErrorSym0 :: TyFun Symbol a -> Type) (a6989586621679368947 :: Symbol) = Error a6989586621679368947 :: a

type Apply (ErrorWithoutStackTraceSym0 :: TyFun Symbol a -> Type) (a6989586621679369227 :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type Apply (ErrorWithoutStackTraceSym0 :: TyFun Symbol a -> Type) (a6989586621679369227 :: Symbol) = ErrorWithoutStackTrace a6989586621679369227 :: a

type Apply (Show_Sym0 :: TyFun a Symbol -> Type) (a6989586621679807414 :: a)

Defined in Text.Show.Singletons

type Apply (Show_Sym0 :: TyFun a Symbol -> Type) (a6989586621679807414 :: a) = Show_ a6989586621679807414

type Apply (ShowListSym1 a6989586621679807418 :: TyFun Symbol Symbol -> Type) (a6989586621679807419 :: Symbol)

Defined in Text.Show.Singletons

type Apply (ShowListSym1 a6989586621679807418 :: TyFun Symbol Symbol -> Type) (a6989586621679807419 :: Symbol) = ShowList a6989586621679807418 a6989586621679807419

type Apply (ShowParenSym2 a6989586621679807346 a6989586621679807347 :: TyFun Symbol Symbol -> Type) (a6989586621679807348 :: Symbol)

Defined in Text.Show.Singletons

type Apply (ShowParenSym2 a6989586621679807346 a6989586621679807347 :: TyFun Symbol Symbol -> Type) (a6989586621679807348 :: Symbol) = ShowParen a6989586621679807346 a6989586621679807347 a6989586621679807348

type Apply (ShowsSym1 a6989586621679807401 :: TyFun Symbol Symbol -> Type) (a6989586621679807402 :: Symbol)

Defined in Text.Show.Singletons

type Apply (ShowsSym1 a6989586621679807401 :: TyFun Symbol Symbol -> Type) (a6989586621679807402 :: Symbol) = Shows a6989586621679807401 a6989586621679807402

type Apply (ShowListWithSym2 a6989586621679807383 a6989586621679807384 :: TyFun Symbol Symbol -> Type) (a6989586621679807385 :: Symbol)

Defined in Text.Show.Singletons

type Apply (ShowListWithSym2 a6989586621679807383 a6989586621679807384 :: TyFun Symbol Symbol -> Type) (a6989586621679807385 :: Symbol) = ShowListWith a6989586621679807383 a6989586621679807384 a6989586621679807385

type Apply (ShowsPrecSym2 a6989586621679807409 a6989586621679807410 :: TyFun Symbol Symbol -> Type) (a6989586621679807411 :: Symbol)

Defined in Text.Show.Singletons

type Apply (ShowsPrecSym2 a6989586621679807409 a6989586621679807410 :: TyFun Symbol Symbol -> Type) (a6989586621679807411 :: Symbol) = ShowsPrec a6989586621679807409 a6989586621679807410 a6989586621679807411

type Apply UnconsSymbolSym0 (a6989586621679381627 :: Symbol)

Defined in GHC.TypeLits.Singletons

type Apply UnconsSymbolSym0 (a6989586621679381627 :: Symbol) = UnconsSymbol a6989586621679381627

type Apply ShowParenSym0 (a6989586621679807346 :: Bool)

Defined in Text.Show.Singletons

type Apply ShowParenSym0 (a6989586621679807346 :: Bool) = ShowParenSym1 a6989586621679807346

type Apply ConsSymbolSym0 (a6989586621679381116 :: Char)

Defined in GHC.TypeLits.Singletons

type Apply ConsSymbolSym0 (a6989586621679381116 :: Char) = ConsSymbolSym1 a6989586621679381116

type Apply ShowCharSym0 (a6989586621679807375 :: Char)

Defined in Text.Show.Singletons

type Apply ShowCharSym0 (a6989586621679807375 :: Char) = ShowCharSym1 a6989586621679807375

type Apply ShowStringSym0 (a6989586621679807364 :: Symbol)

Defined in Text.Show.Singletons

type Apply ShowStringSym0 (a6989586621679807364 :: Symbol) = ShowStringSym1 a6989586621679807364

type Apply (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type) (a6989586621679807409 :: Natural)

Defined in Text.Show.Singletons

type Apply (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type) (a6989586621679807409 :: Natural) = ShowsPrecSym1 a6989586621679807409 :: TyFun a (Symbol ~> Symbol) -> Type

type Apply (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621679807401 :: a)

Defined in Text.Show.Singletons

type Apply (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621679807401 :: a) = ShowsSym1 a6989586621679807401

type Apply (ShowsPrecSym1 a6989586621679807409 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621679807410 :: a)

Defined in Text.Show.Singletons

type Apply (ShowsPrecSym1 a6989586621679807409 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621679807410 :: a) = ShowsPrecSym2 a6989586621679807409 a6989586621679807410

type Apply UnlinesSym0 (a6989586621679544819 :: [Symbol])

Defined in Data.List.Singletons.Internal

type Apply UnlinesSym0 (a6989586621679544819 :: [Symbol]) = Unlines a6989586621679544819

type Apply UnwordsSym0 (a6989586621679544809 :: [Symbol])

Defined in Data.List.Singletons.Internal

type Apply UnwordsSym0 (a6989586621679544809 :: [Symbol]) = Unwords a6989586621679544809

type Apply (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621679807418 :: [a])

Defined in Text.Show.Singletons

type Apply (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621679807418 :: [a]) = ShowListSym1 a6989586621679807418

type Apply (ShowListWithSym1 a6989586621679807383 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621679807384 :: [a])

Defined in Text.Show.Singletons

type Apply (ShowListWithSym1 a6989586621679807383 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621679807384 :: [a]) = ShowListWithSym2 a6989586621679807383 a6989586621679807384

type Apply (ShowParenSym1 a6989586621679807346 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) (a6989586621679807347 :: Symbol ~> Symbol)

Defined in Text.Show.Singletons

type Apply (ShowParenSym1 a6989586621679807346 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) (a6989586621679807347 :: Symbol ~> Symbol) = ShowParenSym2 a6989586621679807346 a6989586621679807347

type Apply (ShowListWithSym0 :: TyFun (a ~> (Symbol ~> Symbol)) ([a] ~> (Symbol ~> Symbol)) -> Type) (a6989586621679807383 :: a ~> (Symbol ~> Symbol))

Defined in Text.Show.Singletons

type Apply (ShowListWithSym0 :: TyFun (a ~> (Symbol ~> Symbol)) ([a] ~> (Symbol ~> Symbol)) -> Type) (a6989586621679807383 :: a ~> (Symbol ~> Symbol)) = ShowListWithSym1 a6989586621679807383

data Char

The character type Char represents Unicode codespace and its elements are code points as in definitions D9 and D10 of the Unicode Standard.

Character literals in Haskell are single-quoted: 'Q', 'Я' or 'Ω'. To represent a single quote itself use '\'', and to represent a backslash use '\\'. The full grammar can be found in the section 2.6 of the Haskell 2010 Language Report.

To specify a character by its code point one can use decimal, hexadecimal or octal notation: '\65', '\x41' and '\o101' are all alternative forms of 'A'. The largest code point is '\x10ffff'.

There is a special escape syntax for ASCII control characters:

Escape	Alternatives	Meaning
'\NUL'	'\0'	null character
'\SOH'	'\1'	start of heading
'\STX'	'\2'	start of text
'\ETX'	'\3'	end of text
'\EOT'	'\4'	end of transmission
'\ENQ'	'\5'	enquiry
'\ACK'	'\6'	acknowledge
'\BEL'	'\7', '\a'	bell (alert)
'\BS'	'\8', '\b'	backspace
'\HT'	'\9', '\t'	horizontal tab
'\LF'	'\10', '\n'	line feed (new line)
'\VT'	'\11', '\v'	vertical tab
'\FF'	'\12', '\f'	form feed
'\CR'	'\13', '\r'	carriage return
'\SO'	'\14'	shift out
'\SI'	'\15'	shift in
'\DLE'	'\16'	data link escape
'\DC1'	'\17'	device control 1
'\DC2'	'\18'	device control 2
'\DC3'	'\19'	device control 3
'\DC4'	'\20'	device control 4
'\NAK'	'\21'	negative acknowledge
'\SYN'	'\22'	synchronous idle
'\ETB'	'\23'	end of transmission block
'\CAN'	'\24'	cancel
'\EM'	'\25'	end of medium
'\SUB'	'\26'	substitute
'\ESC'	'\27'	escape
'\FS'	'\28'	file separator
'\GS'	'\29'	group separator
'\RS'	'\30'	record separator
'\US'	'\31'	unit separator
'\SP'	'\32', ' '	space
'\DEL'	'\127'	delete

Data.Char provides utilities to work with Char.

Instances

IsChar Char

Since: base-2.1

Defined in Text.Printf

Methods

toChar :: Char -> Char

fromChar :: Char -> Char

PrintfArg Char

Since: base-2.1

Defined in Text.Printf

Methods

formatArg :: Char -> FieldFormatter

parseFormat :: Char -> ModifierParser

NFData Char

Defined in Control.DeepSeq

Methods

rnf :: Char -> ()

Bounded Char

Since: base-2.1

Defined in GHC.Internal.Enum

Methods

minBound :: Char

maxBound :: Char

Enum Char

Since: base-2.1

Defined in GHC.Internal.Enum

Methods

succ :: Char -> Char

pred :: Char -> Char

toEnum :: Int -> Char

fromEnum :: Char -> Int

enumFrom :: Char -> [Char]

enumFromThen :: Char -> Char -> [Char]

enumFromTo :: Char -> Char -> [Char]

enumFromThenTo :: Char -> Char -> Char -> [Char]

Ix Char

Since: base-2.1

Defined in GHC.Internal.Ix

Methods

range :: (Char, Char) -> [Char]

index :: (Char, Char) -> Char -> Int

unsafeIndex :: (Char, Char) -> Char -> Int

inRange :: (Char, Char) -> Char -> Bool

rangeSize :: (Char, Char) -> Int

unsafeRangeSize :: (Char, Char) -> Int

Show Char

Since: base-2.1

Defined in GHC.Internal.Show

Methods

showsPrec :: Int -> Char -> ShowS

show :: Char -> String

showList :: [Char] -> ShowS

Eq Char

Defined in GHC.Classes

Methods

(==) :: Char -> Char -> Bool

(/=) :: Char -> Char -> Bool

Ord Char

Defined in GHC.Classes

Methods

compare :: Char -> Char -> Ordering

(<) :: Char -> Char -> Bool

(<=) :: Char -> Char -> Bool

(>) :: Char -> Char -> Bool

(>=) :: Char -> Char -> Bool

max :: Char -> Char -> Char

min :: Char -> Char -> Char

Hashable Char

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Char -> Int

hash :: Char -> Int

Pretty Char

Defined in Text.PrettyPrint.Annotated.HughesPJClass

Methods

pPrintPrec :: PrettyLevel -> Rational -> Char -> Doc ann

pPrint :: Char -> Doc ann

pPrintList :: PrettyLevel -> [Char] -> Doc ann

Pretty Char

Defined in Text.PrettyPrint.HughesPJClass

Methods

pPrintPrec :: PrettyLevel -> Rational -> Char -> Doc

pPrint :: Char -> Doc

pPrintList :: PrettyLevel -> [Char] -> Doc

SingKind Char

Defined in GHC.TypeLits.Singletons.Internal

Associated Types

type Demote Char

Defined in GHC.TypeLits.Singletons.Internal

type Demote Char = Char

Methods

fromSing :: forall (a :: Char). Sing a -> Demote Char

toSing :: Demote Char -> SomeSing Char

SDecide Char

Defined in GHC.TypeLits.Singletons.Internal

Methods

(%~) :: forall (a :: Char) (b :: Char). Sing a -> Sing b -> Decision (a :~: b)

PEq Char

Defined in GHC.TypeLits.Singletons.Internal

Associated Types

type (x :: Char) == (y :: Char)

Defined in GHC.TypeLits.Singletons.Internal

type (x :: Char) == (y :: Char) = DefaultEq x y

type (arg :: Char) /= (arg1 :: Char)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Char) /= (arg1 :: Char)

SEq Char

Defined in GHC.TypeLits.Singletons.Internal

Methods

(%==) :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (t1 == t2)

(%/=) :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (t1 /= t2)

POrd Char

Defined in GHC.TypeLits.Singletons.Internal

Associated Types

type Compare (a :: Char) (b :: Char)

Defined in GHC.TypeLits.Singletons.Internal

type Compare (a :: Char) (b :: Char) = CmpChar a b

type (arg :: Char) < (arg1 :: Char)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Char) < (arg1 :: Char)

type (arg :: Char) <= (arg1 :: Char)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Char) <= (arg1 :: Char)

type (arg :: Char) > (arg1 :: Char)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Char) > (arg1 :: Char)

type (arg :: Char) >= (arg1 :: Char)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Char) >= (arg1 :: Char)

type Max (arg :: Char) (arg1 :: Char)

Defined in GHC.TypeLits.Singletons.Internal

type Max (arg :: Char) (arg1 :: Char)

type Min (arg :: Char) (arg1 :: Char)

Defined in GHC.TypeLits.Singletons.Internal

type Min (arg :: Char) (arg1 :: Char)

SOrd Char

Defined in GHC.TypeLits.Singletons.Internal

Methods

sCompare :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Compare t1 t2)

(%<) :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (t1 < t2)

(%<=) :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (t1 <= t2)

(%>) :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (t1 > t2)

(%>=) :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (t1 >= t2)

sMax :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Max t1 t2)

sMin :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Min t1 t2)

PBounded Char

Defined in Data.Singletons.Base.Enum

Associated Types

type MinBound

Defined in Data.Singletons.Base.Enum

type MinBound

type MaxBound

Defined in Data.Singletons.Base.Enum

type MaxBound

PEnum Char

Defined in Data.Singletons.Base.Enum

Associated Types

type Succ (arg :: Char)

Defined in Data.Singletons.Base.Enum

type Succ (arg :: Char)

type Pred (arg :: Char)

Defined in Data.Singletons.Base.Enum

type Pred (arg :: Char)

type ToEnum a

Defined in Data.Singletons.Base.Enum

type ToEnum a

type FromEnum (a :: Char)

Defined in Data.Singletons.Base.Enum

type FromEnum (a :: Char)

type EnumFromTo (arg1 :: Char) (arg2 :: Char)

Defined in Data.Singletons.Base.Enum

type EnumFromTo (arg1 :: Char) (arg2 :: Char)

type EnumFromThenTo (arg1 :: Char) (arg2 :: Char) (arg3 :: Char)

Defined in Data.Singletons.Base.Enum

type EnumFromThenTo (arg1 :: Char) (arg2 :: Char) (arg3 :: Char)

SBounded Char

Defined in Data.Singletons.Base.Enum

Methods

sMinBound :: Sing (MinBound :: Char)

sMaxBound :: Sing (MaxBound :: Char)

SEnum Char

Defined in Data.Singletons.Base.Enum

Methods

sSucc :: forall (t :: Char). Sing t -> Sing (Succ t)

sPred :: forall (t :: Char). Sing t -> Sing (Pred t)

sToEnum :: forall (t :: Natural). Sing t -> Sing (ToEnum t :: Char)

sFromEnum :: forall (t :: Char). Sing t -> Sing (FromEnum t)

sEnumFromTo :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (EnumFromTo t1 t2)

sEnumFromThenTo :: forall (t1 :: Char) (t2 :: Char) (t3 :: Char). Sing t1 -> Sing t2 -> Sing t3 -> Sing (EnumFromThenTo t1 t2 t3)

PShow Char

Defined in Text.Show.Singletons

Associated Types

type ShowsPrec p (c :: Char) x

Defined in Text.Show.Singletons

type ShowsPrec p (c :: Char) x

type Show_ (arg :: Char)

Defined in Text.Show.Singletons

type Show_ (arg :: Char)

type ShowList (cs :: [Char]) x

Defined in Text.Show.Singletons

type ShowList (cs :: [Char]) x

SShow Char

Defined in Text.Show.Singletons

Methods

sShowsPrec :: forall (t1 :: Natural) (t2 :: Char) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (ShowsPrec t1 t2 t3)

sShow_ :: forall (t :: Char). Sing t -> Sing (Show_ t)

sShowList :: forall (t1 :: [Char]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (ShowList t1 t2)

TestCoercion SChar

Since: base-4.18.0.0

Defined in GHC.Internal.TypeLits

Methods

testCoercion :: forall (a :: Char) (b :: Char). SChar a -> SChar b -> Maybe (Coercion a b)

TestEquality SChar

Since: base-4.18.0.0

Defined in GHC.Internal.TypeLits

Methods

testEquality :: forall (a :: Char) (b :: Char). SChar a -> SChar b -> Maybe (a :~: b)

KnownChar c => SingI (c :: Char)

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing c

Generic1 (URec Char :: k -> Type)

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (URec Char :: k -> Type)

Since: base-4.9.0.0

Defined in GHC.Internal.Generics

type Rep1 (URec Char :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: k -> Type)))

Methods

from1 :: forall (a :: k). URec Char a -> Rep1 (URec Char :: k -> Type) a

to1 :: forall (a :: k). Rep1 (URec Char :: k -> Type) a -> URec Char a

SingI1 ShowCharSym1

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: Char). Sing x -> Sing (ShowCharSym1 x)

SingI1 ConsSymbolSym1

Defined in GHC.TypeLits.Singletons

Methods

liftSing :: forall (x :: Char). Sing x -> Sing (ConsSymbolSym1 x)

Eq1 (UChar :: Type -> Type)

Since: base-4.21.0.0

Defined in Data.Functor.Classes

Methods

liftEq :: (a -> b -> Bool) -> UChar a -> UChar b -> Bool

Ord1 (UChar :: Type -> Type)

Since: base-4.21.0.0

Defined in Data.Functor.Classes

Methods

liftCompare :: (a -> b -> Ordering) -> UChar a -> UChar b -> Ordering

Show1 (UChar :: Type -> Type)

Since: base-4.21.0.0

Defined in Data.Functor.Classes

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> UChar a -> ShowS

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [UChar a] -> ShowS

Foldable (UChar :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Internal.Data.Foldable

Methods

fold :: Monoid m => UChar m -> m

foldMap :: Monoid m => (a -> m) -> UChar a -> m

foldMap' :: Monoid m => (a -> m) -> UChar a -> m

foldr :: (a -> b -> b) -> b -> UChar a -> b

foldr' :: (a -> b -> b) -> b -> UChar a -> b

foldl :: (b -> a -> b) -> b -> UChar a -> b

foldl' :: (b -> a -> b) -> b -> UChar a -> b

foldr1 :: (a -> a -> a) -> UChar a -> a

foldl1 :: (a -> a -> a) -> UChar a -> a

toList :: UChar a -> [a]

null :: UChar a -> Bool

length :: UChar a -> Int

elem :: Eq a => a -> UChar a -> Bool

maximum :: Ord a => UChar a -> a

minimum :: Ord a => UChar a -> a

sum :: Num a => UChar a -> a

product :: Num a => UChar a -> a

Traversable (UChar :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Internal.Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> UChar a -> f (UChar b)

sequenceA :: Applicative f => UChar (f a) -> f (UChar a)

mapM :: Monad m => (a -> m b) -> UChar a -> m (UChar b)

sequence :: Monad m => UChar (m a) -> m (UChar a)

Functor (URec Char :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Internal.Generics

Methods

fmap :: (a -> b) -> URec Char a -> URec Char b

(<$) :: a -> URec Char b -> URec Char a

SingI ShowCharSym0

Defined in Text.Show.Singletons

Methods

sing :: Sing ShowCharSym0

SingI NatToCharSym0

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing NatToCharSym0

SingI ConsSymbolSym0

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing ConsSymbolSym0

SingI CharToNatSym0

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing CharToNatSym0

SingI UnconsSymbolSym0

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing UnconsSymbolSym0

SuppressUnusedWarnings NatToCharSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings ConsSymbolSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings ShowCharSym0

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings CharToNatSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings KnownCharSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings UnconsSymbolSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SMonadFail m => SingI (FailSym0 :: TyFun [Char] (m a) -> Type)

Defined in Control.Monad.Fail.Singletons

Methods

sing :: Sing (FailSym0 :: TyFun [Char] (m a) -> Type)

SuppressUnusedWarnings (FailSym0 :: TyFun [Char] (m a) -> Type)

Defined in Control.Monad.Fail.Singletons

Methods

suppressUnusedWarnings :: ()

Generic (URec Char p)

Defined in GHC.Internal.Generics

Associated Types

type Rep (URec Char p)

Since: base-4.9.0.0

Defined in GHC.Internal.Generics

type Rep (URec Char p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: Type -> Type)))

Methods

from :: URec Char p -> Rep (URec Char p) x

to :: Rep (URec Char p) x -> URec Char p

Show (URec Char p)

Since: base-4.9.0.0

Defined in GHC.Internal.Generics

Methods

showsPrec :: Int -> URec Char p -> ShowS

show :: URec Char p -> String

showList :: [URec Char p] -> ShowS

Eq (URec Char p)

Since: base-4.9.0.0

Defined in GHC.Internal.Generics

Methods

(==) :: URec Char p -> URec Char p -> Bool

(/=) :: URec Char p -> URec Char p -> Bool

Ord (URec Char p)

Since: base-4.9.0.0

Defined in GHC.Internal.Generics

Methods

compare :: URec Char p -> URec Char p -> Ordering

(<) :: URec Char p -> URec Char p -> Bool

(<=) :: URec Char p -> URec Char p -> Bool

(>) :: URec Char p -> URec Char p -> Bool

(>=) :: URec Char p -> URec Char p -> Bool

max :: URec Char p -> URec Char p -> URec Char p

min :: URec Char p -> URec Char p -> URec Char p

type Demote Char

Defined in GHC.TypeLits.Singletons.Internal

type Demote Char = Char

type Sing

Defined in GHC.TypeLits.Singletons.Internal

type Sing = SChar

type MaxBound

Defined in Data.Singletons.Base.Enum

type MaxBound

type MinBound

Defined in Data.Singletons.Base.Enum

type MinBound

data URec Char (p :: k)

Used for marking occurrences of Char#

Since: base-4.9.0.0

Defined in GHC.Internal.Generics

data URec Char (p :: k) = UChar {

• uChar# :: Char#

}

type FromEnum (a :: Char)

Defined in Data.Singletons.Base.Enum

type FromEnum (a :: Char)

type Pred (arg :: Char)

Defined in Data.Singletons.Base.Enum

type Pred (arg :: Char)

type Succ (arg :: Char)

Defined in Data.Singletons.Base.Enum

type Succ (arg :: Char)

type ToEnum a

Defined in Data.Singletons.Base.Enum

type ToEnum a

type Show_ (arg :: Char)

Defined in Text.Show.Singletons

type Show_ (arg :: Char)

type Compare (a :: Char) (b :: Char)

Defined in GHC.Internal.Data.Type.Ord

type Compare (a :: Char) (b :: Char) = CmpChar a b

type (arg :: Char) /= (arg1 :: Char)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Char) /= (arg1 :: Char)

type (x :: Char) == (y :: Char)

Defined in GHC.TypeLits.Singletons.Internal

type (x :: Char) == (y :: Char) = DefaultEq x y

type (arg :: Char) < (arg1 :: Char)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Char) < (arg1 :: Char)

type (arg :: Char) <= (arg1 :: Char)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Char) <= (arg1 :: Char)

type (arg :: Char) > (arg1 :: Char)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Char) > (arg1 :: Char)

type (arg :: Char) >= (arg1 :: Char)

Defined in GHC.TypeLits.Singletons.Internal

type (arg :: Char) >= (arg1 :: Char)

type Compare (a :: Char) (b :: Char)

Defined in GHC.TypeLits.Singletons.Internal

type Compare (a :: Char) (b :: Char) = CmpChar a b

type Max (arg :: Char) (arg1 :: Char)

Defined in GHC.TypeLits.Singletons.Internal

type Max (arg :: Char) (arg1 :: Char)

type Min (arg :: Char) (arg1 :: Char)

Defined in GHC.TypeLits.Singletons.Internal

type Min (arg :: Char) (arg1 :: Char)

type EnumFromTo (arg1 :: Char) (arg2 :: Char)

Defined in Data.Singletons.Base.Enum

type EnumFromTo (arg1 :: Char) (arg2 :: Char)

type ShowList (cs :: [Char]) x

Defined in Text.Show.Singletons

type ShowList (cs :: [Char]) x

type Apply NatToCharSym0 (a6989586621679382082 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply NatToCharSym0 (a6989586621679382082 :: Natural) = NatToChar a6989586621679382082

type Apply CharToNatSym0 (a6989586621679381852 :: Char)

Defined in GHC.TypeLits.Singletons

type Apply CharToNatSym0 (a6989586621679381852 :: Char) = CharToNat a6989586621679381852

type Apply KnownCharSym0 (a6989586621679377841 :: Char)

Defined in GHC.TypeLits.Singletons

type Apply KnownCharSym0 (a6989586621679377841 :: Char) = KnownChar a6989586621679377841

type EnumFromThenTo (arg1 :: Char) (arg2 :: Char) (arg3 :: Char)

Defined in Data.Singletons.Base.Enum

type EnumFromThenTo (arg1 :: Char) (arg2 :: Char) (arg3 :: Char)

type ShowsPrec p (c :: Char) x

Defined in Text.Show.Singletons

type ShowsPrec p (c :: Char) x

type Apply UnconsSymbolSym0 (a6989586621679381627 :: Symbol)

Defined in GHC.TypeLits.Singletons

type Apply UnconsSymbolSym0 (a6989586621679381627 :: Symbol) = UnconsSymbol a6989586621679381627

type Rep1 (URec Char :: k -> Type)

Since: base-4.9.0.0

Defined in GHC.Internal.Generics

type Rep1 (URec Char :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: k -> Type)))

type Apply ConsSymbolSym0 (a6989586621679381116 :: Char)

Defined in GHC.TypeLits.Singletons

type Apply ConsSymbolSym0 (a6989586621679381116 :: Char) = ConsSymbolSym1 a6989586621679381116

type Apply ShowCharSym0 (a6989586621679807375 :: Char)

Defined in Text.Show.Singletons

type Apply ShowCharSym0 (a6989586621679807375 :: Char) = ShowCharSym1 a6989586621679807375

type Apply (FailSym0 :: TyFun [Char] (m a) -> Type) (a6989586621679365940 :: [Char])

Defined in Control.Monad.Fail.Singletons

type Apply (FailSym0 :: TyFun [Char] (m a) -> Type) (a6989586621679365940 :: [Char]) = Fail a6989586621679365940 :: m a

type Rep (URec Char p)

Since: base-4.9.0.0

Defined in GHC.Internal.Generics

type Rep (URec Char p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: Type -> Type)))

type family Sing :: k -> Type

Instances

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SVoid

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SAll

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SAny

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SOrdering

type Sing

Defined in Data.Singletons.Base.TypeError

type Sing = SErrorMessage

type Sing

Defined in GHC.TypeLits.Singletons.Internal

type Sing = SNat

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple0

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SBool

type Sing

Defined in GHC.TypeLits.Singletons.Internal

type Sing = SChar

type Sing

Defined in GHC.TypeLits.Singletons.Internal

type Sing = SSymbol

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SFirst :: First a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SLast :: Last a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SMax :: Max a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SMin :: Min a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SWrappedMonoid :: WrappedMonoid m -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SNonEmpty :: NonEmpty a -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SIdentity :: Identity a -> Type

type Sing

Defined in Data.Monoid.Singletons

type Sing = SFirst :: First a -> Type

type Sing

Defined in Data.Monoid.Singletons

type Sing = SLast :: Last a -> Type

type Sing

Defined in Data.Ord.Singletons

type Sing = SDown :: Down a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SDual :: Dual a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SProduct :: Product a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SSum :: Sum a -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SMaybe :: Maybe a -> Type

type Sing

A choice of singleton for the kind TYPE rep (for some RuntimeRep rep), an instantiation of which is the famous kind Type.

Conceivably, one could generalize this instance to `Sing @k` for any kind k, and remove all other Sing instances. We don't adopt this design, however, since it is far more convenient in practice to work with explicit singleton values than TypeReps (for instance, TypeReps are more difficult to pattern match on, and require extra runtime checks).

We cannot produce explicit singleton values for everything in TYPE rep, however, since it is an open kind, so we reach for TypeRep in this one particular case.

Defined in Data.Singletons.Base.TypeRepTYPE

type Sing = TypeRep :: TYPE rep -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SList :: [a] -> Type

type Sing

Defined in Data.Semigroup.Singletons

type Sing = SArg :: Arg a b -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SEither :: Either a b -> Type

type Sing

Defined in Data.Proxy.Singletons

type Sing = SProxy :: Proxy t -> Type

type Sing

Defined in Data.Singletons

type Sing = SWrappedSing :: WrappedSing a -> Type

type Sing

Defined in Data.Singletons

type Sing = SLambda :: (k1 ~> k2) -> Type

type Sing

Defined in Data.Singletons.Sigma

type Sing = SSigma :: Sigma s t -> Type

type Sing

Defined in Data.Singletons.Base.Instances

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

type Sing

Defined in Data.Functor.Const.Singletons

type Sing = SConst :: Const a b -> Type

type Sing

Defined in Data.Singletons.Base.Instances

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

type Sing

Defined in Data.Functor.Product.Singletons

type Sing = SProduct :: Product f g a -> Type

type Sing

Defined in Data.Functor.Sum.Singletons

type Sing = SSum :: Sum f g a -> Type

type Sing

Defined in Data.Singletons.Base.Instances

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

type Sing

Defined in Data.Functor.Compose.Singletons

type Sing = SCompose :: Compose f g a -> Type

type Sing

Defined in Data.Singletons.Base.Instances

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

type Sing

Defined in Data.Singletons.Base.Instances

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

type Sing

Defined in Data.Singletons.Base.Instances

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

data SNat (n :: Nat)

A value-level witness for a type-level natural number. This is commonly referred to as a singleton type, as for each n, there is a single value that inhabits the type SNat n (aside from bottom).

The definition of SNat is intentionally left abstract. To obtain an SNat value, use one of the following:

1. The natSing method of KnownNat.
2. The SNat pattern synonym.
3. The withSomeSNat function, which creates an SNat from a Natural number.

Since: base-4.18.0.0

Instances

TestCoercion SNat

Since: base-4.18.0.0

Defined in GHC.Internal.TypeNats

Methods

testCoercion :: forall (a :: Nat) (b :: Nat). SNat a -> SNat b -> Maybe (Coercion a b)

TestEquality SNat

Since: base-4.18.0.0

Defined in GHC.Internal.TypeNats

Methods

testEquality :: forall (a :: Nat) (b :: Nat). SNat a -> SNat b -> Maybe (a :~: b)

Show (SNat n)

Since: base-4.18.0.0

Defined in GHC.Internal.TypeNats

Methods

showsPrec :: Int -> SNat n -> ShowS

show :: SNat n -> String

showList :: [SNat n] -> ShowS

Eq (SNat n)

Since: base-4.19.0.0

Defined in GHC.Internal.TypeNats

Methods

(==) :: SNat n -> SNat n -> Bool

(/=) :: SNat n -> SNat n -> Bool

Ord (SNat n)

Since: base-4.19.0.0

Defined in GHC.Internal.TypeNats

Methods

compare :: SNat n -> SNat n -> Ordering

(<) :: SNat n -> SNat n -> Bool

(<=) :: SNat n -> SNat n -> Bool

(>) :: SNat n -> SNat n -> Bool

(>=) :: SNat n -> SNat n -> Bool

max :: SNat n -> SNat n -> SNat n

min :: SNat n -> SNat n -> SNat n

pattern SNat :: () => KnownNat n => SNat n

A explicitly bidirectional pattern synonym relating an SNat to a KnownNat constraint.

As an expression: Constructs an explicit SNat n value from an implicit KnownNat n constraint:

SNat @n :: KnownNat n => SNat n

As a pattern: Matches on an explicit SNat n value bringing an implicit KnownNat n constraint into scope:

f :: SNat n -> ..
f SNat = {- KnownNat n in scope -}

Since: base-4.18.0.0

data SSymbol (s :: Symbol)

A value-level witness for a type-level symbol. This is commonly referred to as a singleton type, as for each s, there is a single value that inhabits the type SSymbol s (aside from bottom).

The definition of SSymbol is intentionally left abstract. To obtain an SSymbol value, use one of the following:

1. The symbolSing method of KnownSymbol.
2. The SSymbol pattern synonym.
3. The withSomeSSymbol function, which creates an SSymbol from a String.

Since: base-4.18.0.0

Instances

TestCoercion SSymbol

Since: base-4.18.0.0

Defined in GHC.Internal.TypeLits

Methods

testCoercion :: forall (a :: Symbol) (b :: Symbol). SSymbol a -> SSymbol b -> Maybe (Coercion a b)

TestEquality SSymbol

Since: base-4.18.0.0

Defined in GHC.Internal.TypeLits

Methods

testEquality :: forall (a :: Symbol) (b :: Symbol). SSymbol a -> SSymbol b -> Maybe (a :~: b)

Show (SSymbol s)

Since: base-4.18.0.0

Defined in GHC.Internal.TypeLits

Methods

showsPrec :: Int -> SSymbol s -> ShowS

show :: SSymbol s -> String

showList :: [SSymbol s] -> ShowS

Eq (SSymbol s)

Since: base-4.19.0.0

Defined in GHC.Internal.TypeLits

Methods

(==) :: SSymbol s -> SSymbol s -> Bool

(/=) :: SSymbol s -> SSymbol s -> Bool

Ord (SSymbol s)

Since: base-4.19.0.0

Defined in GHC.Internal.TypeLits

Methods

compare :: SSymbol s -> SSymbol s -> Ordering

(<) :: SSymbol s -> SSymbol s -> Bool

(<=) :: SSymbol s -> SSymbol s -> Bool

(>) :: SSymbol s -> SSymbol s -> Bool

(>=) :: SSymbol s -> SSymbol s -> Bool

max :: SSymbol s -> SSymbol s -> SSymbol s

min :: SSymbol s -> SSymbol s -> SSymbol s

pattern SSymbol :: () => KnownSymbol s => SSymbol s

A explicitly bidirectional pattern synonym relating an SSymbol to a KnownSymbol constraint.

As an expression: Constructs an explicit SSymbol s value from an implicit KnownSymbol s constraint:

SSymbol @s :: KnownSymbol s => SSymbol s

As a pattern: Matches on an explicit SSymbol s value bringing an implicit KnownSymbol s constraint into scope:

f :: SSymbol s -> ..
f SSymbol = {- KnownSymbol s in scope -}

Since: base-4.18.0.0

pattern SSym :: () => KnownSymbol s => SSymbol s

An alias for the SSymbol pattern synonym.

data SChar (s :: Char)

A value-level witness for a type-level character. This is commonly referred to as a singleton type, as for each c, there is a single value that inhabits the type SChar c (aside from bottom).

The definition of SChar is intentionally left abstract. To obtain an SChar value, use one of the following:

1. The charSing method of KnownChar.
2. The SChar pattern synonym.
3. The withSomeSChar function, which creates an SChar from a Char.

Since: base-4.18.0.0

Instances

TestCoercion SChar

Since: base-4.18.0.0

Defined in GHC.Internal.TypeLits

Methods

testCoercion :: forall (a :: Char) (b :: Char). SChar a -> SChar b -> Maybe (Coercion a b)

TestEquality SChar

Since: base-4.18.0.0

Defined in GHC.Internal.TypeLits

Methods

testEquality :: forall (a :: Char) (b :: Char). SChar a -> SChar b -> Maybe (a :~: b)

Show (SChar c)

Since: base-4.18.0.0

Defined in GHC.Internal.TypeLits

Methods

showsPrec :: Int -> SChar c -> ShowS

show :: SChar c -> String

showList :: [SChar c] -> ShowS

Eq (SChar c)

Since: base-4.19.0.0

Defined in GHC.Internal.TypeLits

Methods

(==) :: SChar c -> SChar c -> Bool

(/=) :: SChar c -> SChar c -> Bool

Ord (SChar c)

Since: base-4.19.0.0

Defined in GHC.Internal.TypeLits

Methods

compare :: SChar c -> SChar c -> Ordering

(<) :: SChar c -> SChar c -> Bool

(<=) :: SChar c -> SChar c -> Bool

(>) :: SChar c -> SChar c -> Bool

(>=) :: SChar c -> SChar c -> Bool

max :: SChar c -> SChar c -> SChar c

min :: SChar c -> SChar c -> SChar c

pattern SChar :: () => KnownChar c => SChar c

A explicitly bidirectional pattern synonym relating an SChar to a KnownChar constraint.

As an expression: Constructs an explicit SChar c value from an implicit KnownChar c constraint:

SChar @c :: KnownChar c => SChar c

As a pattern: Matches on an explicit SChar c value bringing an implicit KnownChar c constraint into scope:

f :: SChar c -> ..
f SChar = {- KnownChar c in scope -}

Since: base-4.18.0.0

withKnownNat :: forall (n :: Nat) r. SNat n -> (KnownNat n => r) -> r

Convert an explicit SNat n value into an implicit KnownNat n constraint.

Since: base-4.18.0.0

withKnownSymbol :: forall (s :: Symbol) r. SSymbol s -> (KnownSymbol s => r) -> r

Convert an explicit SSymbol s value into an implicit KnownSymbol s constraint.

Since: base-4.18.0.0

withKnownChar :: forall (c :: Char) r. SChar c -> (KnownChar c => r) -> r

Convert an explicit SChar c value into an implicit KnownChar c constraint.

Since: base-4.18.0.0

type family Error (str :: Symbol) :: a where ...

A promoted version of error. This implements Error as a stuck type family with a Symbol argument. Depending on your needs, you might also consider the following alternatives:

• Data.Singletons.Base.PolyError provides PolyError, which generalizes the argument to be kind-polymorphic. This allows passing additional information to the error besides raw Symbols.
• Data.Singletons.Base.TypeError provides TypeError, a slightly modified version of the custom type error machinery found in GHC.TypeLits. This allows emitting error messages as compiler errors rather than as stuck type families.

sError :: forall a (str :: Symbol). HasCallStack => Sing str -> Sing (Error str :: a)

The singleton for error.

type family ErrorWithoutStackTrace (str :: Symbol) :: a where ...

The promotion of errorWithoutStackTrace.

sErrorWithoutStackTrace :: forall a (str :: Symbol). Sing str -> Sing (ErrorWithoutStackTrace str :: a)

The singleton for errorWithoutStackTrace.

type family Undefined :: forall a. a where ...

The promotion of undefined.

sUndefined :: HasCallStack => Sing Undefined

The singleton for undefined.

class KnownNat (n :: Nat)

This class gives the integer associated with a type-level natural. There are instances of the class for every concrete literal: 0, 1, 2, etc.

Since: base-4.7.0.0

Minimal complete definition

natSing

natVal :: forall (n :: Nat) proxy. KnownNat n => proxy n -> Natural

Since: base-4.10.0.0

class KnownSymbol (n :: Symbol)

This class gives the string associated with a type-level symbol. There are instances of the class for every concrete literal: "hello", etc.

Since: base-4.7.0.0

Minimal complete definition

symbolSing

symbolVal :: forall (n :: Symbol) proxy. KnownSymbol n => proxy n -> String

Since: base-4.7.0.0

class KnownChar (n :: Char)

Since: base-4.16.0.0

Minimal complete definition

charSing

charVal :: forall (n :: Char) proxy. KnownChar n => proxy n -> Char

type family (a :: Natural) ^ (b :: Natural) :: Natural where ... infixr 8

Exponentiation of type-level naturals.

Since: base-4.7.0.0

(%^) :: forall (a :: Natural) (b :: Natural). Sing a -> Sing b -> Sing (a ^ b) infixr 8

The singleton analogue of (^) for Naturals.

type (<=?) (m :: k) (n :: k) = OrdCond (Compare m n) 'True 'True 'False infix 4

Comparison (<=) of comparable types, as a function.

Since: base-4.16.0.0

(%<=?) :: forall (a :: Natural) (b :: Natural). Sing a -> Sing b -> Sing (a <=? b) infix 4

The singleton analogue of <=?

Note that, because of historical reasons in GHC's Natural API, <=? is incompatible (unification-wise) with <= and the PEq, SEq, POrd, and SOrd instances for Natural. (a <=? b) ~ 'True does not imply anything about a <= b or any other PEq / POrd relationships.

(Be aware that <= in the paragraph above refers to <= from the POrd typeclass, exported from Data.Ord.Singletons, and not the <= from GHC.TypeNats. The latter is simply a type alias for (a <=? b) ~ 'True.)

This is provided here for the sake of completeness and for compatibility with libraries with APIs built around <=?. New code should use CmpNat, exposed through this library through the POrd and SOrd instances for Natural.

type family Log2 (a :: Natural) :: Natural where ...

Log base 2 (round down) of natural numbers. Log 0 is undefined (i.e., it cannot be reduced).

Since: base-4.11.0.0

sLog2 :: forall (x :: Natural). Sing x -> Sing (Log2 x)

type family Div (a :: Natural) (b :: Natural) :: Natural where ... infixl 7

Division (round down) of natural numbers. Div x 0 is undefined (i.e., it cannot be reduced).

Since: base-4.11.0.0

sDiv :: forall (x :: Natural) (y :: Natural). Sing x -> Sing y -> Sing (Div x y) infixl 7

type family Mod (a :: Natural) (b :: Natural) :: Natural where ... infixl 7

Modulus of natural numbers. Mod x 0 is undefined (i.e., it cannot be reduced).

Since: base-4.11.0.0

sMod :: forall (x :: Natural) (y :: Natural). Sing x -> Sing y -> Sing (Mod x y) infixl 7

type family DivMod (a :: Natural) (a1 :: Natural) :: (Natural, Natural) where ...

Equations

DivMod x y = Apply (Apply (Tuple2Sym0 :: TyFun Natural (Natural ~> (Natural, Natural)) -> Type) (Apply (Apply DivSym0 x) y)) (Apply (Apply ModSym0 x) y)

sDivMod :: forall (x :: Natural) (y :: Natural). Sing x -> Sing y -> Sing (DivMod x y)

type family Quot (a :: Natural) (a1 :: Natural) :: Natural where ... infixl 7

Equations

Quot a_6989586621679379817 a_6989586621679379819 = Apply (Apply DivSym0 a_6989586621679379817) a_6989586621679379819

sQuot :: forall (x :: Natural) (y :: Natural). Sing x -> Sing y -> Sing (Quot x y) infixl 7

type family Rem (a :: Natural) (a1 :: Natural) :: Natural where ... infixl 7

Equations

Rem a_6989586621679379806 a_6989586621679379808 = Apply (Apply ModSym0 a_6989586621679379806) a_6989586621679379808

sRem :: forall (x :: Natural) (y :: Natural). Sing x -> Sing y -> Sing (Rem x y) infixl 7

type family QuotRem (a :: Natural) (a1 :: Natural) :: (Natural, Natural) where ...

Equations

QuotRem a_6989586621679379828 a_6989586621679379830 = Apply (Apply DivModSym0 a_6989586621679379828) a_6989586621679379830

sQuotRem :: forall (x :: Natural) (y :: Natural). Sing x -> Sing y -> Sing (QuotRem x y)

consSymbol :: Char -> String -> String

type family ConsSymbol (a :: Char) (b :: Symbol) :: Symbol where ...

Extending a type-level symbol with a type-level character

Since: base-4.16.0.0

sConsSymbol :: forall (x :: Char) (y :: Symbol). Sing x -> Sing y -> Sing (ConsSymbol x y)

unconsSymbol :: String -> Maybe (Char, String)

type family UnconsSymbol (a :: Symbol) :: Maybe (Char, Symbol) where ...

This type family yields type-level Just storing the first character of a symbol and its tail if it is defined and Nothing otherwise.

Since: base-4.16.0.0

sUnconsSymbol :: forall (x :: Symbol). Sing x -> Sing (UnconsSymbol x)

charToNat :: Char -> Natural

type family CharToNat (a :: Char) :: Natural where ...

Convert a character to its Unicode code point (cf. ord)

Since: base-4.16.0.0

sCharToNat :: forall (x :: Char). Sing x -> Sing (CharToNat x)

natToChar :: Natural -> Char

type family NatToChar (a :: Natural) :: Char where ...

Convert a Unicode code point to a character (cf. chr)

Since: base-4.16.0.0

sNatToChar :: forall (x :: Natural). Sing x -> Sing (NatToChar x)

Defunctionalization symbols

data ErrorSym0 (a1 :: TyFun Symbol a)

Instances

SingI (ErrorSym0 :: TyFun Symbol a -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing (ErrorSym0 :: TyFun Symbol a -> Type)

SuppressUnusedWarnings (ErrorSym0 :: TyFun Symbol a -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (ErrorSym0 :: TyFun Symbol a -> Type) (a6989586621679368947 :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type Apply (ErrorSym0 :: TyFun Symbol a -> Type) (a6989586621679368947 :: Symbol) = Error a6989586621679368947 :: a

type family ErrorSym1 (a6989586621679368947 :: Symbol) :: a where ...

Equations

ErrorSym1 a6989586621679368947 = Error a6989586621679368947 :: a

data ErrorWithoutStackTraceSym0 (a1 :: TyFun Symbol a)

Instances

SingI (ErrorWithoutStackTraceSym0 :: TyFun Symbol a -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing (ErrorWithoutStackTraceSym0 :: TyFun Symbol a -> Type)

SuppressUnusedWarnings (ErrorWithoutStackTraceSym0 :: TyFun Symbol a -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (ErrorWithoutStackTraceSym0 :: TyFun Symbol a -> Type) (a6989586621679369227 :: Symbol)

Defined in GHC.TypeLits.Singletons.Internal

type Apply (ErrorWithoutStackTraceSym0 :: TyFun Symbol a -> Type) (a6989586621679369227 :: Symbol) = ErrorWithoutStackTrace a6989586621679369227 :: a

type family ErrorWithoutStackTraceSym1 (a6989586621679369227 :: Symbol) :: a where ...

Equations

ErrorWithoutStackTraceSym1 a6989586621679369227 = ErrorWithoutStackTrace a6989586621679369227 :: a

type family UndefinedSym0 :: a where ...

Equations

UndefinedSym0 = Undefined

data KnownNatSym0 (a :: TyFun Nat Constraint)

Instances

SuppressUnusedWarnings KnownNatSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply KnownNatSym0 (a6989586621679377837 :: Nat)

Defined in GHC.TypeLits.Singletons

type Apply KnownNatSym0 (a6989586621679377837 :: Nat) = KnownNat a6989586621679377837

type family KnownNatSym1 (a6989586621679377837 :: Nat) where ...

Equations

KnownNatSym1 a6989586621679377837 = KnownNat a6989586621679377837

data KnownSymbolSym0 (a :: TyFun Symbol Constraint)

Instances

SuppressUnusedWarnings KnownSymbolSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply KnownSymbolSym0 (a6989586621679377839 :: Symbol)

Defined in GHC.TypeLits.Singletons

type Apply KnownSymbolSym0 (a6989586621679377839 :: Symbol) = KnownSymbol a6989586621679377839

type family KnownSymbolSym1 (a6989586621679377839 :: Symbol) where ...

Equations

KnownSymbolSym1 a6989586621679377839 = KnownSymbol a6989586621679377839

data KnownCharSym0 (a :: TyFun Char Constraint)

Instances

SuppressUnusedWarnings KnownCharSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply KnownCharSym0 (a6989586621679377841 :: Char)

Defined in GHC.TypeLits.Singletons

type Apply KnownCharSym0 (a6989586621679377841 :: Char) = KnownChar a6989586621679377841

type family KnownCharSym1 (a6989586621679377841 :: Char) where ...

Equations

KnownCharSym1 a6989586621679377841 = KnownChar a6989586621679377841

data (^@#@$) (a :: TyFun Natural (Natural ~> Natural)) infixr 8

Instances

SingI (^@#@$)

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing (^@#@$)

SuppressUnusedWarnings (^@#@$)

Defined in GHC.TypeLits.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (^@#@$) (a6989586621679369666 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type Apply (^@#@$) (a6989586621679369666 :: Natural) = (^@#@$$) a6989586621679369666

data (a6989586621679369666 :: Natural) ^@#@$$ (b :: TyFun Natural Natural) infixr 8

Instances

SingI1 (^@#@$$)

Defined in GHC.TypeLits.Singletons.Internal

Methods

liftSing :: forall (x :: Natural). Sing x -> Sing ((^@#@$$) x)

SingI x => SingI ((^@#@$$) x :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing ((^@#@$$) x)

SuppressUnusedWarnings ((^@#@$$) a6989586621679369666 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply ((^@#@$$) a6989586621679369666 :: TyFun Natural Natural -> Type) (a6989586621679369667 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type Apply ((^@#@$$) a6989586621679369666 :: TyFun Natural Natural -> Type) (a6989586621679369667 :: Natural) = a6989586621679369666 ^ a6989586621679369667

type family (a6989586621679369666 :: Natural) ^@#@$$$ (a6989586621679369667 :: Natural) :: Natural where ... infixr 8

Equations

a6989586621679369666 ^@#@$$$ a6989586621679369667 = a6989586621679369666 ^ a6989586621679369667

data (<=?@#@$) (a :: TyFun k (k ~> Bool)) infix 4

Instances

SingI ((<=?@#@$) :: TyFun Natural (Natural ~> Bool) -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing ((<=?@#@$) :: TyFun Natural (Natural ~> Bool) -> Type)

SuppressUnusedWarnings ((<=?@#@$) :: TyFun k (k ~> Bool) -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply ((<=?@#@$) :: TyFun k (k ~> Bool) -> Type) (a6989586621679370104 :: k)

Defined in GHC.TypeLits.Singletons.Internal

type Apply ((<=?@#@$) :: TyFun k (k ~> Bool) -> Type) (a6989586621679370104 :: k) = (<=?@#@$$) a6989586621679370104

data (a6989586621679370104 :: k) <=?@#@$$ (b :: TyFun k Bool) infix 4

Instances

SingI1 ((<=?@#@$$) :: Natural -> TyFun Natural Bool -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

liftSing :: forall (x :: Natural). Sing x -> Sing ((<=?@#@$$) x)

SingI x => SingI ((<=?@#@$$) x :: TyFun Natural Bool -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing ((<=?@#@$$) x)

SuppressUnusedWarnings ((<=?@#@$$) a6989586621679370104 :: TyFun k Bool -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply ((<=?@#@$$) a6989586621679370104 :: TyFun k Bool -> Type) (a6989586621679370105 :: k)

Defined in GHC.TypeLits.Singletons.Internal

type Apply ((<=?@#@$$) a6989586621679370104 :: TyFun k Bool -> Type) (a6989586621679370105 :: k) = a6989586621679370104 <=? a6989586621679370105

type family (a6989586621679370104 :: k) <=?@#@$$$ (a6989586621679370105 :: k) :: Bool where ... infix 4

Equations

(a6989586621679370104 :: k) <=?@#@$$$ (a6989586621679370105 :: k) = a6989586621679370104 <=? a6989586621679370105

data Log2Sym0 (a :: TyFun Natural Natural)

Instances

SingI Log2Sym0

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing Log2Sym0

SuppressUnusedWarnings Log2Sym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply Log2Sym0 (a6989586621679378480 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply Log2Sym0 (a6989586621679378480 :: Natural) = Log2 a6989586621679378480

type family Log2Sym1 (a6989586621679378480 :: Natural) :: Natural where ...

Equations

Log2Sym1 a6989586621679378480 = Log2 a6989586621679378480

data DivSym0 (a :: TyFun Natural (Natural ~> Natural)) infixl 7

Instances

SingI DivSym0

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing DivSym0

SuppressUnusedWarnings DivSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply DivSym0 (a6989586621679378709 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply DivSym0 (a6989586621679378709 :: Natural) = DivSym1 a6989586621679378709

data DivSym1 (a6989586621679378709 :: Natural) (b :: TyFun Natural Natural) infixl 7

Instances

SingI1 DivSym1

Defined in GHC.TypeLits.Singletons

Methods

liftSing :: forall (x :: Natural). Sing x -> Sing (DivSym1 x)

SingI x => SingI (DivSym1 x :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing (DivSym1 x)

SuppressUnusedWarnings (DivSym1 a6989586621679378709 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (DivSym1 a6989586621679378709 :: TyFun Natural Natural -> Type) (a6989586621679378710 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (DivSym1 a6989586621679378709 :: TyFun Natural Natural -> Type) (a6989586621679378710 :: Natural) = Div a6989586621679378709 a6989586621679378710

type family DivSym2 (a6989586621679378709 :: Natural) (a6989586621679378710 :: Natural) :: Natural where ... infixl 7

Equations

DivSym2 a6989586621679378709 a6989586621679378710 = Div a6989586621679378709 a6989586621679378710

data ModSym0 (a :: TyFun Natural (Natural ~> Natural)) infixl 7

Instances

SingI ModSym0

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing ModSym0

SuppressUnusedWarnings ModSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply ModSym0 (a6989586621679379154 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply ModSym0 (a6989586621679379154 :: Natural) = ModSym1 a6989586621679379154

data ModSym1 (a6989586621679379154 :: Natural) (b :: TyFun Natural Natural) infixl 7

Instances

SingI1 ModSym1

Defined in GHC.TypeLits.Singletons

Methods

liftSing :: forall (x :: Natural). Sing x -> Sing (ModSym1 x)

SingI x => SingI (ModSym1 x :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing (ModSym1 x)

SuppressUnusedWarnings (ModSym1 a6989586621679379154 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (ModSym1 a6989586621679379154 :: TyFun Natural Natural -> Type) (a6989586621679379155 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (ModSym1 a6989586621679379154 :: TyFun Natural Natural -> Type) (a6989586621679379155 :: Natural) = Mod a6989586621679379154 a6989586621679379155

type family ModSym2 (a6989586621679379154 :: Natural) (a6989586621679379155 :: Natural) :: Natural where ... infixl 7

Equations

ModSym2 a6989586621679379154 a6989586621679379155 = Mod a6989586621679379154 a6989586621679379155

data DivModSym0 (a :: TyFun Natural (Natural ~> (Natural, Natural)))

Instances

SuppressUnusedWarnings DivModSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply DivModSym0 (a6989586621679379842 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply DivModSym0 (a6989586621679379842 :: Natural) = DivModSym1 a6989586621679379842

data DivModSym1 (a6989586621679379842 :: Natural) (b :: TyFun Natural (Natural, Natural))

Instances

SuppressUnusedWarnings (DivModSym1 a6989586621679379842 :: TyFun Natural (Natural, Natural) -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (DivModSym1 a6989586621679379842 :: TyFun Natural (Natural, Natural) -> Type) (a6989586621679379843 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (DivModSym1 a6989586621679379842 :: TyFun Natural (Natural, Natural) -> Type) (a6989586621679379843 :: Natural) = DivMod a6989586621679379842 a6989586621679379843

type family DivModSym2 (a6989586621679379842 :: Natural) (a6989586621679379843 :: Natural) :: (Natural, Natural) where ...

Equations

DivModSym2 a6989586621679379842 a6989586621679379843 = DivMod a6989586621679379842 a6989586621679379843

data QuotSym0 (a :: TyFun Natural (Natural ~> Natural)) infixl 7

Instances

SuppressUnusedWarnings QuotSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply QuotSym0 (a6989586621679379824 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply QuotSym0 (a6989586621679379824 :: Natural) = QuotSym1 a6989586621679379824

data QuotSym1 (a6989586621679379824 :: Natural) (b :: TyFun Natural Natural) infixl 7

Instances

SuppressUnusedWarnings (QuotSym1 a6989586621679379824 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (QuotSym1 a6989586621679379824 :: TyFun Natural Natural -> Type) (a6989586621679379825 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (QuotSym1 a6989586621679379824 :: TyFun Natural Natural -> Type) (a6989586621679379825 :: Natural) = Quot a6989586621679379824 a6989586621679379825

type family QuotSym2 (a6989586621679379824 :: Natural) (a6989586621679379825 :: Natural) :: Natural where ... infixl 7

Equations

QuotSym2 a6989586621679379824 a6989586621679379825 = Quot a6989586621679379824 a6989586621679379825

data RemSym0 (a :: TyFun Natural (Natural ~> Natural)) infixl 7

Instances

SuppressUnusedWarnings RemSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply RemSym0 (a6989586621679379813 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply RemSym0 (a6989586621679379813 :: Natural) = RemSym1 a6989586621679379813

data RemSym1 (a6989586621679379813 :: Natural) (b :: TyFun Natural Natural) infixl 7

Instances

SuppressUnusedWarnings (RemSym1 a6989586621679379813 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (RemSym1 a6989586621679379813 :: TyFun Natural Natural -> Type) (a6989586621679379814 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (RemSym1 a6989586621679379813 :: TyFun Natural Natural -> Type) (a6989586621679379814 :: Natural) = Rem a6989586621679379813 a6989586621679379814

type family RemSym2 (a6989586621679379813 :: Natural) (a6989586621679379814 :: Natural) :: Natural where ... infixl 7

Equations

RemSym2 a6989586621679379813 a6989586621679379814 = Rem a6989586621679379813 a6989586621679379814

data QuotRemSym0 (a :: TyFun Natural (Natural ~> (Natural, Natural)))

Instances

SuppressUnusedWarnings QuotRemSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply QuotRemSym0 (a6989586621679379835 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply QuotRemSym0 (a6989586621679379835 :: Natural) = QuotRemSym1 a6989586621679379835

data QuotRemSym1 (a6989586621679379835 :: Natural) (b :: TyFun Natural (Natural, Natural))

Instances

SuppressUnusedWarnings (QuotRemSym1 a6989586621679379835 :: TyFun Natural (Natural, Natural) -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (QuotRemSym1 a6989586621679379835 :: TyFun Natural (Natural, Natural) -> Type) (a6989586621679379836 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (QuotRemSym1 a6989586621679379835 :: TyFun Natural (Natural, Natural) -> Type) (a6989586621679379836 :: Natural) = QuotRem a6989586621679379835 a6989586621679379836

type family QuotRemSym2 (a6989586621679379835 :: Natural) (a6989586621679379836 :: Natural) :: (Natural, Natural) where ...

Equations

QuotRemSym2 a6989586621679379835 a6989586621679379836 = QuotRem a6989586621679379835 a6989586621679379836

data ConsSymbolSym0 (a :: TyFun Char (Symbol ~> Symbol))

Instances

SingI ConsSymbolSym0

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing ConsSymbolSym0

SuppressUnusedWarnings ConsSymbolSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply ConsSymbolSym0 (a6989586621679381116 :: Char)

Defined in GHC.TypeLits.Singletons

type Apply ConsSymbolSym0 (a6989586621679381116 :: Char) = ConsSymbolSym1 a6989586621679381116

data ConsSymbolSym1 (a6989586621679381116 :: Char) (b :: TyFun Symbol Symbol)

Instances

SingI1 ConsSymbolSym1

Defined in GHC.TypeLits.Singletons

Methods

liftSing :: forall (x :: Char). Sing x -> Sing (ConsSymbolSym1 x)

SingI x => SingI (ConsSymbolSym1 x :: TyFun Symbol Symbol -> Type)

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing (ConsSymbolSym1 x)

SuppressUnusedWarnings (ConsSymbolSym1 a6989586621679381116 :: TyFun Symbol Symbol -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (ConsSymbolSym1 a6989586621679381116 :: TyFun Symbol Symbol -> Type) (a6989586621679381117 :: Symbol)

Defined in GHC.TypeLits.Singletons

type Apply (ConsSymbolSym1 a6989586621679381116 :: TyFun Symbol Symbol -> Type) (a6989586621679381117 :: Symbol) = ConsSymbol a6989586621679381116 a6989586621679381117

type family ConsSymbolSym2 (a6989586621679381116 :: Char) (a6989586621679381117 :: Symbol) :: Symbol where ...

Equations

ConsSymbolSym2 a6989586621679381116 a6989586621679381117 = ConsSymbol a6989586621679381116 a6989586621679381117

data UnconsSymbolSym0 (a :: TyFun Symbol (Maybe (Char, Symbol)))

Instances

SingI UnconsSymbolSym0

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing UnconsSymbolSym0

SuppressUnusedWarnings UnconsSymbolSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply UnconsSymbolSym0 (a6989586621679381627 :: Symbol)

Defined in GHC.TypeLits.Singletons

type Apply UnconsSymbolSym0 (a6989586621679381627 :: Symbol) = UnconsSymbol a6989586621679381627

type family UnconsSymbolSym1 (a6989586621679381627 :: Symbol) :: Maybe (Char, Symbol) where ...

Equations

UnconsSymbolSym1 a6989586621679381627 = UnconsSymbol a6989586621679381627

data CharToNatSym0 (a :: TyFun Char Natural)

Instances

SingI CharToNatSym0

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing CharToNatSym0

SuppressUnusedWarnings CharToNatSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply CharToNatSym0 (a6989586621679381852 :: Char)

Defined in GHC.TypeLits.Singletons

type Apply CharToNatSym0 (a6989586621679381852 :: Char) = CharToNat a6989586621679381852

type family CharToNatSym1 (a6989586621679381852 :: Char) :: Natural where ...

Equations

CharToNatSym1 a6989586621679381852 = CharToNat a6989586621679381852

data NatToCharSym0 (a :: TyFun Natural Char)

Instances

SingI NatToCharSym0

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing NatToCharSym0

SuppressUnusedWarnings NatToCharSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply NatToCharSym0 (a6989586621679382082 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply NatToCharSym0 (a6989586621679382082 :: Natural) = NatToChar a6989586621679382082

type family NatToCharSym1 (a6989586621679382082 :: Natural) :: Char where ...

Equations

NatToCharSym1 a6989586621679382082 = NatToChar a6989586621679382082

Orphan instances

Monoid Symbol

Methods

mempty :: Symbol

mappend :: Symbol -> Symbol -> Symbol

mconcat :: [Symbol] -> Symbol

Semigroup Symbol

Methods

(<>) :: Symbol -> Symbol -> Symbol

sconcat :: NonEmpty Symbol -> Symbol

stimes :: Integral b => b -> Symbol -> Symbol

IsString Symbol

Methods

fromString :: String -> Symbol

Show Symbol

Methods

showsPrec :: Int -> Symbol -> ShowS

show :: Symbol -> String

showList :: [Symbol] -> ShowS

Eq Symbol

This bogus instance is helpful for people who want to define functions over Symbols that will only be used at the type level or as singletons.

Methods

(==) :: Symbol -> Symbol -> Bool

(/=) :: Symbol -> Symbol -> Bool

Ord Symbol

Methods

compare :: Symbol -> Symbol -> Ordering

(<) :: Symbol -> Symbol -> Bool

(<=) :: Symbol -> Symbol -> Bool

(>) :: Symbol -> Symbol -> Bool

(>=) :: Symbol -> Symbol -> Bool

max :: Symbol -> Symbol -> Symbol

min :: Symbol -> Symbol -> Symbol