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

Enum Natural

Since: base-4.8.0.0

Defined in GHC.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.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.Num

Methods

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

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

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

negate :: Natural -> Natural

abs :: Natural -> Natural

signum :: Natural -> Natural

fromInteger :: Integer -> Natural

Read Natural

Since: base-4.8.0.0

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Natural

readList :: ReadS [Natural]

readPrec :: ReadPrec Natural

readListPrec :: ReadPrec [Natural]

Integral Natural

Since: base-4.8.0.0

Defined in GHC.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.Real

Methods

toRational :: Natural -> Rational

Show Natural

Since: base-4.8.0.0

Defined in GHC.Show

Methods

showsPrec :: Int -> Natural -> ShowS

show :: Natural -> String

showList :: [Natural] -> ShowS

NFData Natural

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Natural -> ()

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

SingKind Natural

Defined in GHC.TypeLits.Singletons.Internal

Associated Types

type Demote Natural = (r :: Type)

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 arg == arg1 :: Bool

type arg /= arg1 :: Bool

SEq Natural

Defined in GHC.TypeLits.Singletons.Internal

Methods

(%==) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2)

(%/=) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2)

POrd Natural

Defined in GHC.TypeLits.Singletons.Internal

Associated Types

type Compare arg arg1 :: Ordering

type arg < arg1 :: Bool

type arg <= arg1 :: Bool

type arg > arg1 :: Bool

type arg >= arg1 :: Bool

type Max arg arg1 :: a

type Min arg arg1 :: a

SOrd Natural

Defined in GHC.TypeLits.Singletons.Internal

Methods

sCompare :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2)

(%<) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2)

(%<=) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2)

(%>) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2)

(%>=) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2)

sMax :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2)

sMin :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2)

PEnum Natural

Defined in Data.Singletons.Base.Enum

Associated Types

type Succ arg :: a

type Pred arg :: a

type ToEnum arg :: a

type FromEnum arg :: Natural

type EnumFromTo arg arg1 :: [a]

type EnumFromThenTo arg arg1 arg2 :: [a]

SEnum Natural

Defined in Data.Singletons.Base.Enum

Methods

sSucc :: forall (t :: Natural). Sing t -> Sing (Apply SuccSym0 t)

sPred :: forall (t :: Natural). Sing t -> Sing (Apply PredSym0 t)

sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t)

sFromEnum :: forall (t :: Natural). Sing t -> Sing (Apply FromEnumSym0 t)

sEnumFromTo :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply EnumFromToSym0 t1) t2)

sEnumFromThenTo :: forall (t1 :: Natural) (t2 :: Natural) (t3 :: Natural). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t1) t2) t3)

PNum Natural

Defined in GHC.Num.Singletons

Associated Types

type arg + arg1 :: a

type arg - arg1 :: a

type arg * arg1 :: a

type Negate arg :: a

type Abs arg :: a

type Signum arg :: a

type FromInteger arg :: a

SNum Natural

Defined in GHC.Num.Singletons

Methods

(%+) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply (+@#@$) t1) t2)

(%-) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply (-@#@$) t1) t2)

(%*) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply (*@#@$) t1) t2)

sNegate :: forall (t :: Natural). Sing t -> Sing (Apply NegateSym0 t)

sAbs :: forall (t :: Natural). Sing t -> Sing (Apply AbsSym0 t)

sSignum :: forall (t :: Natural). Sing t -> Sing (Apply SignumSym0 t)

sFromInteger :: forall (t :: Natural). Sing t -> Sing (Apply FromIntegerSym0 t)

PShow Natural

Defined in Text.Show.Singletons

Associated Types

type ShowsPrec arg arg1 arg2 :: Symbol

type Show_ arg :: Symbol

type ShowList arg arg1 :: Symbol

SShow Natural

Defined in Text.Show.Singletons

Methods

sShowsPrec :: forall (t1 :: Natural) (t2 :: Natural) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3)

sShow_ :: forall (t :: Natural). Sing t -> Sing (Apply Show_Sym0 t)

sShowList :: forall (t1 :: [Natural]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2)

KnownNat n => SingI (n :: Nat)

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing n

Lift Natural

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Natural -> m Exp

liftTyped :: forall (m :: Type -> Type). Quote m => Natural -> Code m Natural

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

Defined in Text.Show.Singletons

Methods

liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (ShowsPrecSym2 x y)

SingI1 DivSym1

Defined in GHC.TypeLits.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (DivSym1 x)

SingI1 ModSym1

Defined in GHC.TypeLits.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (ModSym1 x)

SingI1 (^@#@$$)

Defined in GHC.TypeLits.Singletons.Internal

Methods

liftSing :: forall (x :: k1). Sing x -> Sing ((^@#@$$) x)

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

Defined in Data.List.NonEmpty.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (SplitAtSym1 x)

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

Defined in Data.List.NonEmpty.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (DropSym1 x)

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

Defined in Data.List.NonEmpty.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (TakeSym1 x)

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

Defined in Data.List.Singletons.Internal

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (SplitAtSym1 x)

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

Defined in Data.List.Singletons.Internal

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (DropSym1 x)

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

Defined in Data.List.Singletons.Internal

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (TakeSym1 x)

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

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (ShowsPrecSym1 x)

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

Defined in Data.List.Singletons.Internal

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (ReplicateSym1 x)

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

Defined in GHC.TypeLits.Singletons.Internal

Methods

liftSing :: forall (x :: k1). Sing x -> Sing ((<=?@#@$$) x)

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

Defined in Data.List.Singletons.Internal

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (ElemIndexSym1 x)

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

Defined in Data.List.Singletons.Internal

Methods

liftSing :: forall (x :: k1). 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 :: k1). Sing x -> Sing (ReplicateM_Sym1 x)

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

Defined in Control.Monad.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (ReplicateMSym1 x)

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

Defined in Data.List.NonEmpty.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing ((!!@#@$$) x)

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

Defined in Data.List.Singletons.Internal

Methods

liftSing :: forall (x :: k1). 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 (FindIndexSym0 :: TyFun (a ~> Bool) ([a] ~> Maybe Natural) -> Type)

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing FindIndexSym0

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

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing FindIndicesSym0

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

Defined in Data.List.NonEmpty.Singletons

Methods

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

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

Defined in Data.List.NonEmpty.Singletons

Methods

sing :: Sing LengthSym0

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

Defined in Data.List.NonEmpty.Singletons

Methods

sing :: Sing SplitAtSym0

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

Defined in Data.List.NonEmpty.Singletons

Methods

sing :: Sing DropSym0

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

Defined in Data.List.NonEmpty.Singletons

Methods

sing :: Sing TakeSym0

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

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing SplitAtSym0

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

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing DropSym0

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

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing TakeSym0

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

Defined in Text.Show.Singletons

Methods

sing :: Sing ShowsPrecSym0

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

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing ReplicateSym0

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

Defined in Data.Singletons.Base.Enum

Methods

sing :: Sing ToEnumSym0

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

Defined in GHC.Num.Singletons

Methods

sing :: Sing FromIntegerSym0

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

Defined in Data.List.Singletons.Internal

Methods

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

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

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing ElemIndexSym0

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

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing ElemIndicesSym0

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

Defined in Data.Singletons.Base.Enum

Methods

sing :: Sing FromEnumSym0

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

Defined in GHC.TypeLits.Singletons.Internal

Methods

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

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 (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 ((!!@#@$) :: 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 (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 a6989586621679557380 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ModSym1 a6989586621679557866 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (QuotSym1 a6989586621679558489 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (RemSym1 a6989586621679558478 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings ((^@#@$$) a6989586621679545664 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (DivModSym1 a6989586621679558507 :: TyFun Natural (Natural, Natural) -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (QuotRemSym1 a6989586621679558500 :: 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

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

Defined in Control.Monad.Singletons

Methods

sing :: Sing ReplicateMSym0

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)

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 ((!!@#@$$) a6989586621681194944 :: TyFun Natural a -> Type)

Defined in Data.List.NonEmpty.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings ((!!@#@$$) a6989586621679851164 :: TyFun Natural a -> Type)

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ElemIndexSym1 a6989586621679851540 :: TyFun [a] (Maybe Natural) -> Type)

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (FindIndexSym1 a6989586621679851522 :: TyFun [a] (Maybe Natural) -> Type)

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ElemIndicesSym1 a6989586621679851531 :: TyFun [a] [Natural] -> Type)

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (FindIndicesSym1 a6989586621679851499 :: TyFun [a] [Natural] -> Type)

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

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

Defined in Data.List.Singletons.Internal

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (FindIndexSym1 x)

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

Defined in Data.List.Singletons.Internal

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (FindIndicesSym1 x)

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

Defined in Data.Foldable.Singletons

Methods

sing :: Sing LengthSym0

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

Defined in Data.Foldable.Singletons

Methods

suppressUnusedWarnings :: ()

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 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 (a6989586621679556508 :: Nat)

Defined in GHC.TypeLits.Singletons

type Apply KnownNatSym0 (a6989586621679556508 :: Nat) = KnownNat a6989586621679556508

type Apply Log2Sym0 (a6989586621679557123 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply Log2Sym0 (a6989586621679557123 :: Natural) = Log2 a6989586621679557123

type Apply NatToCharSym0 (a6989586621679560864 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply NatToCharSym0 (a6989586621679560864 :: Natural) = NatToChar a6989586621679560864

type Apply CharToNatSym0 (a6989586621679560611 :: Char)

Defined in GHC.TypeLits.Singletons

type Apply CharToNatSym0 (a6989586621679560611 :: Char) = CharToNat a6989586621679560611

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 a6989586621679557380 :: TyFun Natural Natural -> Type) (a6989586621679557381 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (DivSym1 a6989586621679557380 :: TyFun Natural Natural -> Type) (a6989586621679557381 :: Natural) = Div a6989586621679557380 a6989586621679557381

type Apply (ModSym1 a6989586621679557866 :: TyFun Natural Natural -> Type) (a6989586621679557867 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (ModSym1 a6989586621679557866 :: TyFun Natural Natural -> Type) (a6989586621679557867 :: Natural) = Mod a6989586621679557866 a6989586621679557867

type Apply (QuotSym1 a6989586621679558489 :: TyFun Natural Natural -> Type) (a6989586621679558490 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (QuotSym1 a6989586621679558489 :: TyFun Natural Natural -> Type) (a6989586621679558490 :: Natural) = Quot a6989586621679558489 a6989586621679558490

type Apply (RemSym1 a6989586621679558478 :: TyFun Natural Natural -> Type) (a6989586621679558479 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (RemSym1 a6989586621679558478 :: TyFun Natural Natural -> Type) (a6989586621679558479 :: Natural) = Rem a6989586621679558478 a6989586621679558479

type Apply ((^@#@$$) a6989586621679545664 :: TyFun Natural Natural -> Type) (a6989586621679545665 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type Apply ((^@#@$$) a6989586621679545664 :: TyFun Natural Natural -> Type) (a6989586621679545665 :: Natural) = a6989586621679545664 ^ a6989586621679545665

type Apply (ToEnumSym0 :: TyFun Natural k2 -> Type) (a6989586621679606484 :: Natural)

Defined in Data.Singletons.Base.Enum

type Apply (ToEnumSym0 :: TyFun Natural k2 -> Type) (a6989586621679606484 :: Natural) = ToEnum a6989586621679606484 :: k2

type Apply (FromIntegerSym0 :: TyFun Natural k2 -> Type) (a6989586621679582481 :: Natural)

Defined in GHC.Num.Singletons

type Apply (FromIntegerSym0 :: TyFun Natural k2 -> Type) (a6989586621679582481 :: Natural) = FromInteger a6989586621679582481 :: k2

type Apply (FromEnumSym0 :: TyFun a Natural -> Type) (a6989586621679606487 :: a)

Defined in Data.Singletons.Base.Enum

type Apply (FromEnumSym0 :: TyFun a Natural -> Type) (a6989586621679606487 :: a) = FromEnum a6989586621679606487

type Apply ((!!@#@$$) a6989586621681194944 :: TyFun Natural a -> Type) (a6989586621681194945 :: Natural)

Defined in Data.List.NonEmpty.Singletons

type Apply ((!!@#@$$) a6989586621681194944 :: TyFun Natural a -> Type) (a6989586621681194945 :: Natural) = a6989586621681194944 !! a6989586621681194945

type Apply ((!!@#@$$) a6989586621679851164 :: TyFun Natural a -> Type) (a6989586621679851165 :: Natural)

Defined in Data.List.Singletons.Internal

type Apply ((!!@#@$$) a6989586621679851164 :: TyFun Natural a -> Type) (a6989586621679851165 :: Natural) = a6989586621679851164 !! a6989586621679851165

type Apply DivSym0 (a6989586621679557380 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply DivSym0 (a6989586621679557380 :: Natural) = DivSym1 a6989586621679557380

type Apply ModSym0 (a6989586621679557866 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply ModSym0 (a6989586621679557866 :: Natural) = ModSym1 a6989586621679557866

type Apply QuotSym0 (a6989586621679558489 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply QuotSym0 (a6989586621679558489 :: Natural) = QuotSym1 a6989586621679558489

type Apply RemSym0 (a6989586621679558478 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply RemSym0 (a6989586621679558478 :: Natural) = RemSym1 a6989586621679558478

type Apply (^@#@$) (a6989586621679545664 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type Apply (^@#@$) (a6989586621679545664 :: Natural) = (^@#@$$) a6989586621679545664

type Apply DivModSym0 (a6989586621679558507 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply DivModSym0 (a6989586621679558507 :: Natural) = DivModSym1 a6989586621679558507

type Apply QuotRemSym0 (a6989586621679558500 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply QuotRemSym0 (a6989586621679558500 :: Natural) = QuotRemSym1 a6989586621679558500

type Apply (SplitAtSym0 :: TyFun Natural (NonEmpty a ~> ([a], [a])) -> Type) (a6989586621681195136 :: Natural)

Defined in Data.List.NonEmpty.Singletons

type Apply (SplitAtSym0 :: TyFun Natural (NonEmpty a ~> ([a], [a])) -> Type) (a6989586621681195136 :: Natural) = SplitAtSym1 a6989586621681195136 :: TyFun (NonEmpty a) ([a], [a]) -> Type

type Apply (DropSym0 :: TyFun Natural (NonEmpty a ~> [a]) -> Type) (a6989586621681195145 :: Natural)

Defined in Data.List.NonEmpty.Singletons

type Apply (DropSym0 :: TyFun Natural (NonEmpty a ~> [a]) -> Type) (a6989586621681195145 :: Natural) = DropSym1 a6989586621681195145 :: TyFun (NonEmpty a) [a] -> Type

type Apply (TakeSym0 :: TyFun Natural (NonEmpty a ~> [a]) -> Type) (a6989586621681195154 :: Natural)

Defined in Data.List.NonEmpty.Singletons

type Apply (TakeSym0 :: TyFun Natural (NonEmpty a ~> [a]) -> Type) (a6989586621681195154 :: Natural) = TakeSym1 a6989586621681195154 :: TyFun (NonEmpty a) [a] -> Type

type Apply (SplitAtSym0 :: TyFun Natural ([a] ~> ([a], [a])) -> Type) (a6989586621679851319 :: Natural)

Defined in Data.List.Singletons.Internal

type Apply (SplitAtSym0 :: TyFun Natural ([a] ~> ([a], [a])) -> Type) (a6989586621679851319 :: Natural) = SplitAtSym1 a6989586621679851319 :: TyFun [a] ([a], [a]) -> Type

type Apply (DropSym0 :: TyFun Natural ([a] ~> [a]) -> Type) (a6989586621679851326 :: Natural)

Defined in Data.List.Singletons.Internal

type Apply (DropSym0 :: TyFun Natural ([a] ~> [a]) -> Type) (a6989586621679851326 :: Natural) = DropSym1 a6989586621679851326 :: TyFun [a] [a] -> Type

type Apply (TakeSym0 :: TyFun Natural ([a] ~> [a]) -> Type) (a6989586621679851339 :: Natural)

Defined in Data.List.Singletons.Internal

type Apply (TakeSym0 :: TyFun Natural ([a] ~> [a]) -> Type) (a6989586621679851339 :: Natural) = TakeSym1 a6989586621679851339 :: TyFun [a] [a] -> Type

type Apply (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type) (a6989586621680249857 :: Natural)

Defined in Text.Show.Singletons

type Apply (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type) (a6989586621680249857 :: Natural) = ShowsPrecSym1 a6989586621680249857 :: TyFun a (Symbol ~> Symbol) -> Type

type Apply (ReplicateSym0 :: TyFun Natural (a ~> [a]) -> Type) (a6989586621679851184 :: Natural)

Defined in Data.List.Singletons.Internal

type Apply (ReplicateSym0 :: TyFun Natural (a ~> [a]) -> Type) (a6989586621679851184 :: Natural) = ReplicateSym1 a6989586621679851184 :: TyFun a [a] -> Type

type Apply (DivModSym1 a6989586621679558507 :: TyFun Natural (Natural, Natural) -> Type) (a6989586621679558508 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (DivModSym1 a6989586621679558507 :: TyFun Natural (Natural, Natural) -> Type) (a6989586621679558508 :: Natural) = DivMod a6989586621679558507 a6989586621679558508

type Apply (QuotRemSym1 a6989586621679558500 :: TyFun Natural (Natural, Natural) -> Type) (a6989586621679558501 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (QuotRemSym1 a6989586621679558500 :: TyFun Natural (Natural, Natural) -> Type) (a6989586621679558501 :: Natural) = QuotRem a6989586621679558500 a6989586621679558501

type Apply (ElemIndexSym0 :: TyFun a ([a] ~> Maybe Natural) -> Type) (a6989586621679851540 :: a)

Defined in Data.List.Singletons.Internal

type Apply (ElemIndexSym0 :: TyFun a ([a] ~> Maybe Natural) -> Type) (a6989586621679851540 :: a) = ElemIndexSym1 a6989586621679851540

type Apply (ElemIndicesSym0 :: TyFun a ([a] ~> [Natural]) -> Type) (a6989586621679851531 :: a)

Defined in Data.List.Singletons.Internal

type Apply (ElemIndicesSym0 :: TyFun a ([a] ~> [Natural]) -> Type) (a6989586621679851531 :: a) = ElemIndicesSym1 a6989586621679851531

type Apply (ReplicateM_Sym0 :: TyFun Natural (m a ~> m ()) -> Type) (a6989586621681360207 :: Natural)

Defined in Control.Monad.Singletons

type Apply (ReplicateM_Sym0 :: TyFun Natural (m a ~> m ()) -> Type) (a6989586621681360207 :: Natural) = ReplicateM_Sym1 a6989586621681360207 :: TyFun (m a) (m ()) -> Type

type Apply (ReplicateMSym0 :: TyFun Natural (m a ~> m [a]) -> Type) (a6989586621681360225 :: Natural)

Defined in Control.Monad.Singletons

type Apply (ReplicateMSym0 :: TyFun Natural (m a ~> m [a]) -> Type) (a6989586621681360225 :: Natural) = ReplicateMSym1 a6989586621681360225 :: TyFun (m a) (m [a]) -> Type

type Apply (LengthSym0 :: TyFun (NonEmpty a) Natural -> Type) (a6989586621681195369 :: NonEmpty a)

Defined in Data.List.NonEmpty.Singletons

type Apply (LengthSym0 :: TyFun (NonEmpty a) Natural -> Type) (a6989586621681195369 :: NonEmpty a) = Length a6989586621681195369

type Apply (LengthSym0 :: TyFun (t a) Natural -> Type) (a6989586621680438364 :: t a)

Defined in Data.Foldable.Singletons

type Apply (LengthSym0 :: TyFun (t a) Natural -> Type) (a6989586621680438364 :: t a) = Length a6989586621680438364

type Apply (ElemIndexSym1 a6989586621679851540 :: TyFun [a] (Maybe Natural) -> Type) (a6989586621679851541 :: [a])

Defined in Data.List.Singletons.Internal

type Apply (ElemIndexSym1 a6989586621679851540 :: TyFun [a] (Maybe Natural) -> Type) (a6989586621679851541 :: [a]) = ElemIndex a6989586621679851540 a6989586621679851541

type Apply (FindIndexSym1 a6989586621679851522 :: TyFun [a] (Maybe Natural) -> Type) (a6989586621679851523 :: [a])

Defined in Data.List.Singletons.Internal

type Apply (FindIndexSym1 a6989586621679851522 :: TyFun [a] (Maybe Natural) -> Type) (a6989586621679851523 :: [a]) = FindIndex a6989586621679851522 a6989586621679851523

type Apply (ElemIndicesSym1 a6989586621679851531 :: TyFun [a] [Natural] -> Type) (a6989586621679851532 :: [a])

Defined in Data.List.Singletons.Internal

type Apply (ElemIndicesSym1 a6989586621679851531 :: TyFun [a] [Natural] -> Type) (a6989586621679851532 :: [a]) = ElemIndices a6989586621679851531 a6989586621679851532

type Apply (FindIndicesSym1 a6989586621679851499 :: TyFun [a] [Natural] -> Type) (a6989586621679851500 :: [a])

Defined in Data.List.Singletons.Internal

type Apply (FindIndicesSym1 a6989586621679851499 :: TyFun [a] [Natural] -> Type) (a6989586621679851500 :: [a]) = FindIndices a6989586621679851499 a6989586621679851500

type Apply ((!!@#@$) :: TyFun (NonEmpty a) (Natural ~> a) -> Type) (a6989586621681194944 :: NonEmpty a)

Defined in Data.List.NonEmpty.Singletons

type Apply ((!!@#@$) :: TyFun (NonEmpty a) (Natural ~> a) -> Type) (a6989586621681194944 :: NonEmpty a) = (!!@#@$$) a6989586621681194944

type Apply ((!!@#@$) :: TyFun [a] (Natural ~> a) -> Type) (a6989586621679851164 :: [a])

Defined in Data.List.Singletons.Internal

type Apply ((!!@#@$) :: TyFun [a] (Natural ~> a) -> Type) (a6989586621679851164 :: [a]) = (!!@#@$$) a6989586621679851164

type Apply (FindIndexSym0 :: TyFun (a ~> Bool) ([a] ~> Maybe Natural) -> Type) (a6989586621679851522 :: a ~> Bool)

Defined in Data.List.Singletons.Internal

type Apply (FindIndexSym0 :: TyFun (a ~> Bool) ([a] ~> Maybe Natural) -> Type) (a6989586621679851522 :: a ~> Bool) = FindIndexSym1 a6989586621679851522

type Apply (FindIndicesSym0 :: TyFun (a ~> Bool) ([a] ~> [Natural]) -> Type) (a6989586621679851499 :: a ~> Bool)

Defined in Data.List.Singletons.Internal

type Apply (FindIndicesSym0 :: TyFun (a ~> Bool) ([a] ~> [Natural]) -> Type) (a6989586621679851499 :: a ~> Bool) = FindIndicesSym1 a6989586621679851499

data Symbol

(Kind) This is the kind of type-level symbols. Declared here because class IP needs it

Instances

IsString Symbol

Defined in GHC.TypeLits.Singletons

Methods

fromString :: String -> Symbol

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

SingKind Symbol

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type DemoteRep Symbol

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 = (r :: Type)

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 = (r :: Type)

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 arg == arg1 :: Bool

type arg /= arg1 :: Bool

SEq Symbol

Defined in GHC.TypeLits.Singletons.Internal

Methods

(%==) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2)

(%/=) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2)

PMonoid Symbol

Defined in Data.Monoid.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg1 :: a

type Mconcat arg :: a

SMonoid Symbol

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing MemptySym0

sMappend :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2)

sMconcat :: forall (t :: [Symbol]). Sing t -> Sing (Apply MconcatSym0 t)

POrd Symbol

Defined in GHC.TypeLits.Singletons.Internal

Associated Types

type Compare arg arg1 :: Ordering

type arg < arg1 :: Bool

type arg <= arg1 :: Bool

type arg > arg1 :: Bool

type arg >= arg1 :: Bool

type Max arg arg1 :: a

type Min arg arg1 :: a

SOrd Symbol

Defined in GHC.TypeLits.Singletons.Internal

Methods

sCompare :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2)

(%<) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2)

(%<=) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2)

(%>) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2)

(%>=) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2)

sMax :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2)

sMin :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2)

PSemigroup Symbol

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg1 :: a

type Sconcat arg :: a

SSemigroup Symbol

Defined in Data.Semigroup.Singletons.Internal

Methods

(%<>) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2)

sSconcat :: forall (t :: NonEmpty Symbol). Sing t -> Sing (Apply SconcatSym0 t)

PIsString Symbol

Defined in Data.String.Singletons

Associated Types

type FromString arg :: a

SIsString Symbol

Defined in Data.String.Singletons

Methods

sFromString :: forall (t :: Symbol). Sing t -> Sing (Apply FromStringSym0 t)

PShow Symbol

Defined in Text.Show.Singletons

Associated Types

type ShowsPrec arg arg1 arg2 :: Symbol

type Show_ arg :: Symbol

type ShowList arg arg1 :: Symbol

SShow Symbol

Defined in Text.Show.Singletons

Methods

sShowsPrec :: forall (t1 :: Natural) (t2 :: Symbol) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3)

sShow_ :: forall (t :: Symbol). Sing t -> Sing (Apply Show_Sym0 t)

sShowList :: forall (t1 :: [Symbol]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2)

KnownSymbol a => SingI (a :: Symbol)

Since: base-4.9.0.0

Defined in GHC.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 :: k1) (y :: k2). Sing x -> Sing y -> Sing (x ':$$: y)

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

Defined in Data.Singletons.Base.TypeError

Methods

liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (x ':<>: y)

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

Defined in Data.Singletons.Base.TypeError

Methods

liftSing :: forall (x :: k1). Sing x -> Sing ('Text x)

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

Defined in Data.Singletons.Base.TypeError

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (e1 ':$$: x)

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

Defined in Data.Singletons.Base.TypeError

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (e1 ':<>: x)

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

Defined in Data.Singletons.Base.TypeError

Methods

liftSing :: forall (x :: k1). Sing x -> Sing ('ShowType x)

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

Defined in Text.Show.Singletons

Methods

liftSing2 :: forall (x :: k1) (y :: k2). 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 :: k1). Sing x -> Sing (ShowParenSym1 x)

SingI1 ShowCharSym1

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (ShowCharSym1 x)

SingI1 ConsSymbolSym1

Defined in GHC.TypeLits.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (ConsSymbolSym1 x)

SingI1 ShowStringSym1

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (ShowStringSym1 x)

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

Defined in Data.Singletons.Base.TypeError

Methods

liftSing :: forall (x :: k1). Sing x -> Sing ((:$$:@#@$$) x)

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

Defined in Data.Singletons.Base.TypeError

Methods

liftSing :: forall (x :: k1). Sing x -> Sing ((:<>:@#@$$) x)

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

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (ShowsPrecSym1 x)

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

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: k1). 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 :: k1). Sing x -> Sing (ShowsPrecSym2 d x)

SingI2 ShowParenSym2

Defined in Text.Show.Singletons

Methods

liftSing2 :: forall (x :: k1) (y :: k2). 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)

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

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (ShowListSym1 x)

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

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: k1). 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 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 UnlinesSym0

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing UnlinesSym0

SingI UnwordsSym0

Defined in Data.List.Singletons.Internal

Methods

sing :: Sing UnwordsSym0

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 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 :: ()

SuppressUnusedWarnings UnlinesSym0

Defined in Data.List.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings UnwordsSym0

Defined in Data.List.Singletons.Internal

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

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

Defined in Data.Singletons.Base.TypeError

Methods

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

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

Defined in Data.Singletons.Base.TypeError

Methods

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

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

Defined in Text.Show.Singletons

Methods

sing :: Sing ShowsPrecSym0

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

Defined in Data.Singletons.Base.TypeError

Methods

sing :: Sing TextSym0

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

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

Defined in Text.Show.Singletons

Methods

sing :: Sing ShowListSym0

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

Defined in Text.Show.Singletons

Methods

sing :: Sing ShowsSym0

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

Defined in Text.Show.Singletons

Methods

sing :: Sing Show_Sym0

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

Defined in Data.Singletons.Base.TypeError

Methods

sing :: Sing TypeErrorSym0

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

Defined in GHC.TypeLits.Singletons

Methods

sing :: Sing (ConsSymbolSym1 x)

SuppressUnusedWarnings (ShowParenSym1 a6989586621680249796 :: 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 (ConsSymbolSym1 a6989586621679559832 :: TyFun Symbol Symbol -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ShowCharSym1 a6989586621680249823 :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ShowStringSym1 a6989586621680249812 :: 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 (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type)

Defined in Text.Show.Singletons

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 :: k1) (y :: k2). 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)

(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)

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

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing ErrorSym0

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

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing ErrorWithoutStackTraceSym0

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

Defined in Text.Show.Singletons

Methods

sing :: Sing (ShowsPrecSym1 d)

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

Defined in Data.Singletons.Base.TypeError

Methods

sing :: Sing ShowTypeSym0

SuppressUnusedWarnings (ShowListSym1 a6989586621680249866 :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ShowParenSym2 a6989586621680249796 a6989586621680249797 :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ShowsSym1 a6989586621680249849 :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ShowListWithSym1 a6989586621680249831 :: TyFun [a] (Symbol ~> Symbol) -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ShowsPrecSym1 a6989586621680249857 :: 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 :: k1). 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 :: k1). 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 a6989586621680249831 a6989586621680249832 :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

SuppressUnusedWarnings (ShowsPrecSym2 a6989586621680249857 a6989586621680249858 :: TyFun Symbol Symbol -> Type)

Defined in Text.Show.Singletons

Methods

suppressUnusedWarnings :: ()

type DemoteRep Symbol

Defined in GHC.Generics

type DemoteRep Symbol = String

data Sing (s :: Symbol)

Defined in GHC.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 Data.Semigroup.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 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 Data.Semigroup.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 (a6989586621679556510 :: Symbol)

Defined in GHC.TypeLits.Singletons

type Apply KnownSymbolSym0 (a6989586621679556510 :: Symbol) = KnownSymbol a6989586621679556510

type Apply ShowCommaSpaceSym0 (a6989586621680249778 :: Symbol)

Defined in Text.Show.Singletons

type Apply ShowCommaSpaceSym0 (a6989586621680249778 :: Symbol) = ShowCommaSpace a6989586621680249778

type Apply ShowSpaceSym0 (a6989586621680249784 :: Symbol)

Defined in Text.Show.Singletons

type Apply ShowSpaceSym0 (a6989586621680249784 :: Symbol) = ShowSpace a6989586621680249784

type ShowsPrec _1 (s :: Symbol) x

Defined in Text.Show.Singletons

type ShowsPrec _1 (s :: Symbol) x

type Apply (TypeErrorSym0 :: TyFun PErrorMessage k2 -> Type) (a6989586621679682320 :: PErrorMessage)

Defined in Data.Singletons.Base.TypeError

type Apply (TypeErrorSym0 :: TyFun PErrorMessage k2 -> Type) (a6989586621679682320 :: PErrorMessage) = TypeError a6989586621679682320 :: k2

type Apply (ConsSymbolSym1 a6989586621679559832 :: TyFun Symbol Symbol -> Type) (a6989586621679559833 :: Symbol)

Defined in GHC.TypeLits.Singletons

type Apply (ConsSymbolSym1 a6989586621679559832 :: TyFun Symbol Symbol -> Type) (a6989586621679559833 :: Symbol) = ConsSymbol a6989586621679559832 a6989586621679559833

type Apply (ShowCharSym1 a6989586621680249823 :: TyFun Symbol Symbol -> Type) (a6989586621680249824 :: Symbol)

Defined in Text.Show.Singletons

type Apply (ShowCharSym1 a6989586621680249823 :: TyFun Symbol Symbol -> Type) (a6989586621680249824 :: Symbol) = ShowChar a6989586621680249823 a6989586621680249824

type Apply (ShowStringSym1 a6989586621680249812 :: TyFun Symbol Symbol -> Type) (a6989586621680249813 :: Symbol)

Defined in Text.Show.Singletons

type Apply (ShowStringSym1 a6989586621680249812 :: TyFun Symbol Symbol -> Type) (a6989586621680249813 :: Symbol) = ShowString a6989586621680249812 a6989586621680249813

type Apply (FromStringSym0 :: TyFun Symbol k2 -> Type) (a6989586621681319050 :: Symbol)

Defined in Data.String.Singletons

type Apply (FromStringSym0 :: TyFun Symbol k2 -> Type) (a6989586621681319050 :: Symbol) = FromString a6989586621681319050 :: k2

type Apply (Show_Sym0 :: TyFun a Symbol -> Type) (a6989586621680249862 :: a)

Defined in Text.Show.Singletons

type Apply (Show_Sym0 :: TyFun a Symbol -> Type) (a6989586621680249862 :: a) = Show_ a6989586621680249862

type Apply (ShowListSym1 a6989586621680249866 :: TyFun Symbol Symbol -> Type) (a6989586621680249867 :: Symbol)

Defined in Text.Show.Singletons

type Apply (ShowListSym1 a6989586621680249866 :: TyFun Symbol Symbol -> Type) (a6989586621680249867 :: Symbol) = ShowList a6989586621680249866 a6989586621680249867

type Apply (ShowParenSym2 a6989586621680249796 a6989586621680249797 :: TyFun Symbol Symbol -> Type) (a6989586621680249798 :: Symbol)

Defined in Text.Show.Singletons

type Apply (ShowParenSym2 a6989586621680249796 a6989586621680249797 :: TyFun Symbol Symbol -> Type) (a6989586621680249798 :: Symbol) = ShowParen a6989586621680249796 a6989586621680249797 a6989586621680249798

type Apply (ShowsSym1 a6989586621680249849 :: TyFun Symbol Symbol -> Type) (a6989586621680249850 :: Symbol)

Defined in Text.Show.Singletons

type Apply (ShowsSym1 a6989586621680249849 :: TyFun Symbol Symbol -> Type) (a6989586621680249850 :: Symbol) = Shows a6989586621680249849 a6989586621680249850

type Apply (ShowListWithSym2 a6989586621680249831 a6989586621680249832 :: TyFun Symbol Symbol -> Type) (a6989586621680249833 :: Symbol)

Defined in Text.Show.Singletons

type Apply (ShowListWithSym2 a6989586621680249831 a6989586621680249832 :: TyFun Symbol Symbol -> Type) (a6989586621680249833 :: Symbol) = ShowListWith a6989586621680249831 a6989586621680249832 a6989586621680249833

type Apply (ShowsPrecSym2 a6989586621680249857 a6989586621680249858 :: TyFun Symbol Symbol -> Type) (a6989586621680249859 :: Symbol)

Defined in Text.Show.Singletons

type Apply (ShowsPrecSym2 a6989586621680249857 a6989586621680249858 :: TyFun Symbol Symbol -> Type) (a6989586621680249859 :: Symbol) = ShowsPrec a6989586621680249857 a6989586621680249858 a6989586621680249859

type Apply UnconsSymbolSym0 (a6989586621679560363 :: Symbol)

Defined in GHC.TypeLits.Singletons

type Apply UnconsSymbolSym0 (a6989586621679560363 :: Symbol) = UnconsSymbol a6989586621679560363

type Apply ShowParenSym0 (a6989586621680249796 :: Bool)

Defined in Text.Show.Singletons

type Apply ShowParenSym0 (a6989586621680249796 :: Bool) = ShowParenSym1 a6989586621680249796

type Apply ConsSymbolSym0 (a6989586621679559832 :: Char)

Defined in GHC.TypeLits.Singletons

type Apply ConsSymbolSym0 (a6989586621679559832 :: Char) = ConsSymbolSym1 a6989586621679559832

type Apply ShowCharSym0 (a6989586621680249823 :: Char)

Defined in Text.Show.Singletons

type Apply ShowCharSym0 (a6989586621680249823 :: Char) = ShowCharSym1 a6989586621680249823

type Apply ShowStringSym0 (a6989586621680249812 :: Symbol)

Defined in Text.Show.Singletons

type Apply ShowStringSym0 (a6989586621680249812 :: Symbol) = ShowStringSym1 a6989586621680249812

type Apply (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type) (a6989586621680249857 :: Natural)

Defined in Text.Show.Singletons

type Apply (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type) (a6989586621680249857 :: Natural) = ShowsPrecSym1 a6989586621680249857 :: TyFun a (Symbol ~> Symbol) -> Type

type Apply (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621680249849 :: a)

Defined in Text.Show.Singletons

type Apply (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621680249849 :: a) = ShowsSym1 a6989586621680249849

type Apply (ShowsPrecSym1 a6989586621680249857 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621680249858 :: a)

Defined in Text.Show.Singletons

type Apply (ShowsPrecSym1 a6989586621680249857 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621680249858 :: a) = ShowsPrecSym2 a6989586621680249857 a6989586621680249858

type Apply UnlinesSym0 (a6989586621679851701 :: [Symbol])

Defined in Data.List.Singletons.Internal

type Apply UnlinesSym0 (a6989586621679851701 :: [Symbol]) = Unlines a6989586621679851701

type Apply UnwordsSym0 (a6989586621679851691 :: [Symbol])

Defined in Data.List.Singletons.Internal

type Apply UnwordsSym0 (a6989586621679851691 :: [Symbol]) = Unwords a6989586621679851691

type Apply (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621680249866 :: [a])

Defined in Text.Show.Singletons

type Apply (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621680249866 :: [a]) = ShowListSym1 a6989586621680249866

type Apply (ShowListWithSym1 a6989586621680249831 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621680249832 :: [a])

Defined in Text.Show.Singletons

type Apply (ShowListWithSym1 a6989586621680249831 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621680249832 :: [a]) = ShowListWithSym2 a6989586621680249831 a6989586621680249832

type Apply (ShowParenSym1 a6989586621680249796 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) (a6989586621680249797 :: Symbol ~> Symbol)

Defined in Text.Show.Singletons

type Apply (ShowParenSym1 a6989586621680249796 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) (a6989586621680249797 :: Symbol ~> Symbol) = ShowParenSym2 a6989586621680249796 a6989586621680249797

type Apply (ShowListWithSym0 :: TyFun (a ~> (Symbol ~> Symbol)) ([a] ~> (Symbol ~> Symbol)) -> Type) (a6989586621680249831 :: a ~> (Symbol ~> Symbol))

Defined in Text.Show.Singletons

type Apply (ShowListWithSym0 :: TyFun (a ~> (Symbol ~> Symbol)) ([a] ~> (Symbol ~> Symbol)) -> Type) (a6989586621680249831 :: a ~> (Symbol ~> Symbol)) = ShowListWithSym1 a6989586621680249831

data Char

The character type Char is an enumeration whose values represent Unicode (or equivalently ISO/IEC 10646) code points (i.e. characters, see http://www.unicode.org/ for details). This set extends the ISO 8859-1 (Latin-1) character set (the first 256 characters), which is itself an extension of the ASCII character set (the first 128 characters). A character literal in Haskell has type Char.

To convert a Char to or from the corresponding Int value defined by Unicode, use toEnum and fromEnum from the Enum class respectively (or equivalently ord and chr).

Instances

Bounded Char

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: Char

maxBound :: Char

Enum Char

Since: base-2.1

Defined in GHC.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.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

Read Char

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Char

readList :: ReadS [Char]

readPrec :: ReadPrec Char

readListPrec :: ReadPrec [Char]

Show Char

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> Char -> ShowS

show :: Char -> String

showList :: [Char] -> ShowS

NFData Char

Defined in Control.DeepSeq

Methods

rnf :: Char -> ()

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

SingKind Char

Defined in GHC.TypeLits.Singletons.Internal

Associated Types

type Demote Char = (r :: Type)

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 arg == arg1 :: Bool

type arg /= arg1 :: Bool

SEq Char

Defined in GHC.TypeLits.Singletons.Internal

Methods

(%==) :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2)

(%/=) :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2)

POrd Char

Defined in GHC.TypeLits.Singletons.Internal

Associated Types

type Compare arg arg1 :: Ordering

type arg < arg1 :: Bool

type arg <= arg1 :: Bool

type arg > arg1 :: Bool

type arg >= arg1 :: Bool

type Max arg arg1 :: a

type Min arg arg1 :: a

SOrd Char

Defined in GHC.TypeLits.Singletons.Internal

Methods

sCompare :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2)

(%<) :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2)

(%<=) :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2)

(%>) :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2)

(%>=) :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2)

sMax :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2)

sMin :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2)

PBounded Char

Defined in Data.Singletons.Base.Enum

Associated Types

type MinBound :: a

type MaxBound :: a

PEnum Char

Defined in Data.Singletons.Base.Enum

Associated Types

type Succ arg :: a

type Pred arg :: a

type ToEnum arg :: a

type FromEnum arg :: Natural

type EnumFromTo arg arg1 :: [a]

type EnumFromThenTo arg arg1 arg2 :: [a]

SBounded Char

Defined in Data.Singletons.Base.Enum

Methods

sMinBound :: Sing MinBoundSym0

sMaxBound :: Sing MaxBoundSym0

SEnum Char

Defined in Data.Singletons.Base.Enum

Methods

sSucc :: forall (t :: Char). Sing t -> Sing (Apply SuccSym0 t)

sPred :: forall (t :: Char). Sing t -> Sing (Apply PredSym0 t)

sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t)

sFromEnum :: forall (t :: Char). Sing t -> Sing (Apply FromEnumSym0 t)

sEnumFromTo :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply EnumFromToSym0 t1) t2)

sEnumFromThenTo :: forall (t1 :: Char) (t2 :: Char) (t3 :: Char). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t1) t2) t3)

PShow Char

Defined in Text.Show.Singletons

Associated Types

type ShowsPrec arg arg1 arg2 :: Symbol

type Show_ arg :: Symbol

type ShowList arg arg1 :: Symbol

SShow Char

Defined in Text.Show.Singletons

Methods

sShowsPrec :: forall (t1 :: Natural) (t2 :: Char) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3)

sShow_ :: forall (t :: Char). Sing t -> Sing (Apply Show_Sym0 t)

sShowList :: forall (t1 :: [Char]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2)

ErrorList Char

Defined in Control.Monad.Trans.Error

Methods

listMsg :: String -> [Char]

KnownChar c => SingI (c :: Char)

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing c

Lift Char

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Char -> m Exp

liftTyped :: forall (m :: Type -> Type). Quote m => Char -> Code m Char

Generic1 (URec Char :: k -> Type)

Defined in GHC.Generics

Associated Types

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

Methods

from1 :: forall (a :: k0). URec Char a -> Rep1 (URec Char) a

to1 :: forall (a :: k0). Rep1 (URec Char) a -> URec Char a

SingI1 ShowCharSym1

Defined in Text.Show.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (ShowCharSym1 x)

SingI1 ConsSymbolSym1

Defined in GHC.TypeLits.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (ConsSymbolSym1 x)

Foldable (UChar :: Type -> Type)

Since: base-4.9.0.0

Defined in 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 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.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

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

Defined in Control.Monad.Fail.Singletons

Methods

suppressUnusedWarnings :: ()

Generic (URec Char p)

Defined in GHC.Generics

Associated Types

type Rep (URec Char p) :: 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.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.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.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.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 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 (a6989586621679560864 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply NatToCharSym0 (a6989586621679560864 :: Natural) = NatToChar a6989586621679560864

type Apply CharToNatSym0 (a6989586621679560611 :: Char)

Defined in GHC.TypeLits.Singletons

type Apply CharToNatSym0 (a6989586621679560611 :: Char) = CharToNat a6989586621679560611

type Apply KnownCharSym0 (a6989586621679556512 :: Char)

Defined in GHC.TypeLits.Singletons

type Apply KnownCharSym0 (a6989586621679556512 :: Char) = KnownChar a6989586621679556512

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 (a6989586621679560363 :: Symbol)

Defined in GHC.TypeLits.Singletons

type Apply UnconsSymbolSym0 (a6989586621679560363 :: Symbol) = UnconsSymbol a6989586621679560363

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

Since: base-4.9.0.0

Defined in GHC.Generics

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

type Apply ConsSymbolSym0 (a6989586621679559832 :: Char)

Defined in GHC.TypeLits.Singletons

type Apply ConsSymbolSym0 (a6989586621679559832 :: Char) = ConsSymbolSym1 a6989586621679559832

type Apply ShowCharSym0 (a6989586621680249823 :: Char)

Defined in Text.Show.Singletons

type Apply ShowCharSym0 (a6989586621680249823 :: Char) = ShowCharSym1 a6989586621680249823

type Apply (FailSym0 :: TyFun [Char] (m a) -> Type) (a6989586621679537251 :: [Char])

Defined in Control.Monad.Fail.Singletons

type Apply (FailSym0 :: TyFun [Char] (m a) -> Type) (a6989586621679537251 :: [Char]) = Fail a6989586621679537251 :: m a

type Rep (URec Char p)

Since: base-4.9.0.0

Defined in GHC.Generics

type Rep (URec Char p) = D1 ('MetaData "URec" "GHC.Generics" "base" '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.Semigroup.Singletons.Internal

type Sing = SAll

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SAny

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SVoid

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.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

type Sing = SFirst :: First a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SLast :: Last a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SMax :: Max a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SMin :: Min a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SWrappedMonoid :: WrappedMonoid m -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SDual :: Dual a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SProduct :: Product a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SSum :: Sum a -> 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 = 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.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.Semigroup.Singletons

type Sing = SArg :: Arg a b -> 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.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 :: Natural)

Constructors

KnownNat n => SNat

Instances

Show (SNat n)

Defined in GHC.TypeLits.Singletons.Internal

Methods

showsPrec :: Int -> SNat n -> ShowS

show :: SNat n -> String

showList :: [SNat n] -> ShowS

data SSymbol (n :: Symbol)

Constructors

KnownSymbol n => SSym

Instances

Show (SSymbol s)

Defined in GHC.TypeLits.Singletons.Internal

Methods

showsPrec :: Int -> SSymbol s -> ShowS

show :: SSymbol s -> String

showList :: [SSymbol s] -> ShowS

data SChar (c :: Char)

Constructors

KnownChar c => SChar

Instances

Show (SChar c)

Defined in GHC.TypeLits.Singletons.Internal

Methods

showsPrec :: Int -> SChar c -> ShowS

show :: SChar c -> String

showList :: [SChar c] -> ShowS

withKnownNat :: Sing n -> (KnownNat n => r) -> r

Given a singleton for Nat, call something requiring a KnownNat instance.

withKnownSymbol :: Sing n -> (KnownSymbol n => r) -> r

Given a singleton for Symbol, call something requiring a KnownSymbol instance.

withKnownChar :: Sing n -> (KnownChar n => r) -> r

Given a singleton for Char, call something requiring a KnownChar instance.

type family Error (str :: k0) :: k where ...

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

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

The singleton for error

type family ErrorWithoutStackTrace (str :: k0) :: k where ...

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

sErrorWithoutStackTrace :: Sing (str :: Symbol) -> a

The singleton for errorWithoutStackTrace.

type family Undefined :: k where ...

The promotion of undefined.

sUndefined :: HasCallStack => a

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

(%^) :: 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 :: 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 :: 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 :: Sing x -> Sing y -> Sing (Mod x y) infixl 7

type family DivMod (a :: Natural) (a :: Natural) :: (Natural, Natural) where ...

Equations

DivMod x y = Apply (Apply Tuple2Sym0 (Apply (Apply DivSym0 x) y)) (Apply (Apply ModSym0 x) y)

sDivMod :: Sing x -> Sing y -> Sing (DivMod x y)

type family Quot (a :: Natural) (a :: Natural) :: Natural where ... infixl 7

Equations

Quot a_6989586621679558482 a_6989586621679558484 = Apply (Apply DivSym0 a_6989586621679558482) a_6989586621679558484

sQuot :: Sing x -> Sing y -> Sing (Quot x y) infixl 7

type family Rem (a :: Natural) (a :: Natural) :: Natural where ... infixl 7

Equations

Rem a_6989586621679558471 a_6989586621679558473 = Apply (Apply ModSym0 a_6989586621679558471) a_6989586621679558473

sRem :: Sing x -> Sing y -> Sing (Rem x y) infixl 7

type family QuotRem (a :: Natural) (a :: Natural) :: (Natural, Natural) where ...

Equations

QuotRem a_6989586621679558493 a_6989586621679558495 = Apply (Apply DivModSym0 a_6989586621679558493) a_6989586621679558495

sQuotRem :: 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 :: 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 :: 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 :: 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 :: Sing x -> Sing (NatToChar x)

Defunctionalization symbols

data ErrorSym0 :: (~>) k0 k

Instances

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

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing ErrorSym0

SuppressUnusedWarnings (ErrorSym0 :: TyFun k0 k -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (ErrorSym0 :: TyFun k0 k2 -> Type) (a6989586621679544356 :: k0)

Defined in GHC.TypeLits.Singletons.Internal

type Apply (ErrorSym0 :: TyFun k0 k2 -> Type) (a6989586621679544356 :: k0) = Error a6989586621679544356 :: k2

type family ErrorSym1 (a6989586621679544356 :: k0) :: k where ...

Equations

ErrorSym1 a6989586621679544356 = Error a6989586621679544356

data ErrorWithoutStackTraceSym0 :: (~>) k0 k

Instances

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

Defined in GHC.TypeLits.Singletons.Internal

Methods

sing :: Sing ErrorWithoutStackTraceSym0

SuppressUnusedWarnings (ErrorWithoutStackTraceSym0 :: TyFun k0 k -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (ErrorWithoutStackTraceSym0 :: TyFun k0 k2 -> Type) (a6989586621679544654 :: k0)

Defined in GHC.TypeLits.Singletons.Internal

type Apply (ErrorWithoutStackTraceSym0 :: TyFun k0 k2 -> Type) (a6989586621679544654 :: k0) = ErrorWithoutStackTrace a6989586621679544654 :: k2

type family ErrorWithoutStackTraceSym1 (a6989586621679544654 :: k0) :: k where ...

Equations

ErrorWithoutStackTraceSym1 a6989586621679544654 = ErrorWithoutStackTrace a6989586621679544654

type family UndefinedSym0 :: k where ...

Equations

UndefinedSym0 = Undefined

data KnownNatSym0 :: (~>) Nat Constraint

Instances

SuppressUnusedWarnings KnownNatSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply KnownNatSym0 (a6989586621679556508 :: Nat)

Defined in GHC.TypeLits.Singletons

type Apply KnownNatSym0 (a6989586621679556508 :: Nat) = KnownNat a6989586621679556508

type family KnownNatSym1 (a6989586621679556508 :: Nat) :: Constraint where ...

Equations

KnownNatSym1 a6989586621679556508 = KnownNat a6989586621679556508

data KnownSymbolSym0 :: (~>) Symbol Constraint

Instances

SuppressUnusedWarnings KnownSymbolSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply KnownSymbolSym0 (a6989586621679556510 :: Symbol)

Defined in GHC.TypeLits.Singletons

type Apply KnownSymbolSym0 (a6989586621679556510 :: Symbol) = KnownSymbol a6989586621679556510

type family KnownSymbolSym1 (a6989586621679556510 :: Symbol) :: Constraint where ...

Equations

KnownSymbolSym1 a6989586621679556510 = KnownSymbol a6989586621679556510

data KnownCharSym0 :: (~>) Char Constraint

Instances

SuppressUnusedWarnings KnownCharSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply KnownCharSym0 (a6989586621679556512 :: Char)

Defined in GHC.TypeLits.Singletons

type Apply KnownCharSym0 (a6989586621679556512 :: Char) = KnownChar a6989586621679556512

type family KnownCharSym1 (a6989586621679556512 :: Char) :: Constraint where ...

Equations

KnownCharSym1 a6989586621679556512 = KnownChar a6989586621679556512

data (^@#@$) :: (~>) 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 (^@#@$) (a6989586621679545664 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type Apply (^@#@$) (a6989586621679545664 :: Natural) = (^@#@$$) a6989586621679545664

data (^@#@$$) (a6989586621679545664 :: Natural) :: (~>) Natural Natural infixr 8

Instances

SingI1 (^@#@$$)

Defined in GHC.TypeLits.Singletons.Internal

Methods

liftSing :: forall (x :: k1). Sing x -> Sing ((^@#@$$) x)

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

Defined in GHC.TypeLits.Singletons.Internal

Methods

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

SuppressUnusedWarnings ((^@#@$$) a6989586621679545664 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply ((^@#@$$) a6989586621679545664 :: TyFun Natural Natural -> Type) (a6989586621679545665 :: Natural)

Defined in GHC.TypeLits.Singletons.Internal

type Apply ((^@#@$$) a6989586621679545664 :: TyFun Natural Natural -> Type) (a6989586621679545665 :: Natural) = a6989586621679545664 ^ a6989586621679545665

type family (a6989586621679545664 :: Natural) ^@#@$$$ (a6989586621679545665 :: Natural) :: Natural where ... infixr 8

Equations

a6989586621679545664 ^@#@$$$ a6989586621679545665 = (^) a6989586621679545664 a6989586621679545665

data (<=?@#@$) :: (~>) k ((~>) k Bool) infix 4

Instances

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

Defined in GHC.TypeLits.Singletons.Internal

Methods

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

SuppressUnusedWarnings ((<=?@#@$) :: TyFun k (k ~> Bool) -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply ((<=?@#@$) :: TyFun k (k ~> Bool) -> Type) (a6989586621679546124 :: k)

Defined in GHC.TypeLits.Singletons.Internal

type Apply ((<=?@#@$) :: TyFun k (k ~> Bool) -> Type) (a6989586621679546124 :: k) = (<=?@#@$$) a6989586621679546124

data (<=?@#@$$) (a6989586621679546124 :: k) :: (~>) k Bool infix 4

Instances

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

Defined in GHC.TypeLits.Singletons.Internal

Methods

liftSing :: forall (x :: k1). Sing x -> Sing ((<=?@#@$$) x)

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

Defined in GHC.TypeLits.Singletons.Internal

Methods

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

SuppressUnusedWarnings ((<=?@#@$$) a6989586621679546124 :: TyFun k Bool -> Type)

Defined in GHC.TypeLits.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply ((<=?@#@$$) a6989586621679546124 :: TyFun k Bool -> Type) (a6989586621679546125 :: k)

Defined in GHC.TypeLits.Singletons.Internal

type Apply ((<=?@#@$$) a6989586621679546124 :: TyFun k Bool -> Type) (a6989586621679546125 :: k) = a6989586621679546124 <=? a6989586621679546125

type family (a6989586621679546124 :: k) <=?@#@$$$ (a6989586621679546125 :: k) :: Bool where ... infix 4

Equations

a6989586621679546124 <=?@#@$$$ a6989586621679546125 = (<=?) a6989586621679546124 a6989586621679546125

data Log2Sym0 :: (~>) 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 (a6989586621679557123 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply Log2Sym0 (a6989586621679557123 :: Natural) = Log2 a6989586621679557123

type family Log2Sym1 (a6989586621679557123 :: Natural) :: Natural where ...

Equations

Log2Sym1 a6989586621679557123 = Log2 a6989586621679557123

data DivSym0 :: (~>) 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 (a6989586621679557380 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply DivSym0 (a6989586621679557380 :: Natural) = DivSym1 a6989586621679557380

data DivSym1 (a6989586621679557380 :: Natural) :: (~>) Natural Natural infixl 7

Instances

SingI1 DivSym1

Defined in GHC.TypeLits.Singletons

Methods

liftSing :: forall (x :: k1). 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 a6989586621679557380 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (DivSym1 a6989586621679557380 :: TyFun Natural Natural -> Type) (a6989586621679557381 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (DivSym1 a6989586621679557380 :: TyFun Natural Natural -> Type) (a6989586621679557381 :: Natural) = Div a6989586621679557380 a6989586621679557381

type family DivSym2 (a6989586621679557380 :: Natural) (a6989586621679557381 :: Natural) :: Natural where ... infixl 7

Equations

DivSym2 a6989586621679557380 a6989586621679557381 = Div a6989586621679557380 a6989586621679557381

data ModSym0 :: (~>) 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 (a6989586621679557866 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply ModSym0 (a6989586621679557866 :: Natural) = ModSym1 a6989586621679557866

data ModSym1 (a6989586621679557866 :: Natural) :: (~>) Natural Natural infixl 7

Instances

SingI1 ModSym1

Defined in GHC.TypeLits.Singletons

Methods

liftSing :: forall (x :: k1). 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 a6989586621679557866 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (ModSym1 a6989586621679557866 :: TyFun Natural Natural -> Type) (a6989586621679557867 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (ModSym1 a6989586621679557866 :: TyFun Natural Natural -> Type) (a6989586621679557867 :: Natural) = Mod a6989586621679557866 a6989586621679557867

type family ModSym2 (a6989586621679557866 :: Natural) (a6989586621679557867 :: Natural) :: Natural where ... infixl 7

Equations

ModSym2 a6989586621679557866 a6989586621679557867 = Mod a6989586621679557866 a6989586621679557867

data DivModSym0 :: (~>) Natural ((~>) Natural (Natural, Natural))

Instances

SuppressUnusedWarnings DivModSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply DivModSym0 (a6989586621679558507 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply DivModSym0 (a6989586621679558507 :: Natural) = DivModSym1 a6989586621679558507

data DivModSym1 (a6989586621679558507 :: Natural) :: (~>) Natural (Natural, Natural)

Instances

SuppressUnusedWarnings (DivModSym1 a6989586621679558507 :: TyFun Natural (Natural, Natural) -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (DivModSym1 a6989586621679558507 :: TyFun Natural (Natural, Natural) -> Type) (a6989586621679558508 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (DivModSym1 a6989586621679558507 :: TyFun Natural (Natural, Natural) -> Type) (a6989586621679558508 :: Natural) = DivMod a6989586621679558507 a6989586621679558508

type family DivModSym2 (a6989586621679558507 :: Natural) (a6989586621679558508 :: Natural) :: (Natural, Natural) where ...

Equations

DivModSym2 a6989586621679558507 a6989586621679558508 = DivMod a6989586621679558507 a6989586621679558508

data QuotSym0 :: (~>) Natural ((~>) Natural Natural) infixl 7

Instances

SuppressUnusedWarnings QuotSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply QuotSym0 (a6989586621679558489 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply QuotSym0 (a6989586621679558489 :: Natural) = QuotSym1 a6989586621679558489

data QuotSym1 (a6989586621679558489 :: Natural) :: (~>) Natural Natural infixl 7

Instances

SuppressUnusedWarnings (QuotSym1 a6989586621679558489 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (QuotSym1 a6989586621679558489 :: TyFun Natural Natural -> Type) (a6989586621679558490 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (QuotSym1 a6989586621679558489 :: TyFun Natural Natural -> Type) (a6989586621679558490 :: Natural) = Quot a6989586621679558489 a6989586621679558490

type family QuotSym2 (a6989586621679558489 :: Natural) (a6989586621679558490 :: Natural) :: Natural where ... infixl 7

Equations

QuotSym2 a6989586621679558489 a6989586621679558490 = Quot a6989586621679558489 a6989586621679558490

data RemSym0 :: (~>) Natural ((~>) Natural Natural) infixl 7

Instances

SuppressUnusedWarnings RemSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply RemSym0 (a6989586621679558478 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply RemSym0 (a6989586621679558478 :: Natural) = RemSym1 a6989586621679558478

data RemSym1 (a6989586621679558478 :: Natural) :: (~>) Natural Natural infixl 7

Instances

SuppressUnusedWarnings (RemSym1 a6989586621679558478 :: TyFun Natural Natural -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (RemSym1 a6989586621679558478 :: TyFun Natural Natural -> Type) (a6989586621679558479 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (RemSym1 a6989586621679558478 :: TyFun Natural Natural -> Type) (a6989586621679558479 :: Natural) = Rem a6989586621679558478 a6989586621679558479

type family RemSym2 (a6989586621679558478 :: Natural) (a6989586621679558479 :: Natural) :: Natural where ... infixl 7

Equations

RemSym2 a6989586621679558478 a6989586621679558479 = Rem a6989586621679558478 a6989586621679558479

data QuotRemSym0 :: (~>) Natural ((~>) Natural (Natural, Natural))

Instances

SuppressUnusedWarnings QuotRemSym0

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply QuotRemSym0 (a6989586621679558500 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply QuotRemSym0 (a6989586621679558500 :: Natural) = QuotRemSym1 a6989586621679558500

data QuotRemSym1 (a6989586621679558500 :: Natural) :: (~>) Natural (Natural, Natural)

Instances

SuppressUnusedWarnings (QuotRemSym1 a6989586621679558500 :: TyFun Natural (Natural, Natural) -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (QuotRemSym1 a6989586621679558500 :: TyFun Natural (Natural, Natural) -> Type) (a6989586621679558501 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply (QuotRemSym1 a6989586621679558500 :: TyFun Natural (Natural, Natural) -> Type) (a6989586621679558501 :: Natural) = QuotRem a6989586621679558500 a6989586621679558501

type family QuotRemSym2 (a6989586621679558500 :: Natural) (a6989586621679558501 :: Natural) :: (Natural, Natural) where ...

Equations

QuotRemSym2 a6989586621679558500 a6989586621679558501 = QuotRem a6989586621679558500 a6989586621679558501

data ConsSymbolSym0 :: (~>) 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 (a6989586621679559832 :: Char)

Defined in GHC.TypeLits.Singletons

type Apply ConsSymbolSym0 (a6989586621679559832 :: Char) = ConsSymbolSym1 a6989586621679559832

data ConsSymbolSym1 (a6989586621679559832 :: Char) :: (~>) Symbol Symbol

Instances

SingI1 ConsSymbolSym1

Defined in GHC.TypeLits.Singletons

Methods

liftSing :: forall (x :: k1). 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 a6989586621679559832 :: TyFun Symbol Symbol -> Type)

Defined in GHC.TypeLits.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (ConsSymbolSym1 a6989586621679559832 :: TyFun Symbol Symbol -> Type) (a6989586621679559833 :: Symbol)

Defined in GHC.TypeLits.Singletons

type Apply (ConsSymbolSym1 a6989586621679559832 :: TyFun Symbol Symbol -> Type) (a6989586621679559833 :: Symbol) = ConsSymbol a6989586621679559832 a6989586621679559833

type family ConsSymbolSym2 (a6989586621679559832 :: Char) (a6989586621679559833 :: Symbol) :: Symbol where ...

Equations

ConsSymbolSym2 a6989586621679559832 a6989586621679559833 = ConsSymbol a6989586621679559832 a6989586621679559833

data UnconsSymbolSym0 :: (~>) 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 (a6989586621679560363 :: Symbol)

Defined in GHC.TypeLits.Singletons

type Apply UnconsSymbolSym0 (a6989586621679560363 :: Symbol) = UnconsSymbol a6989586621679560363

type family UnconsSymbolSym1 (a6989586621679560363 :: Symbol) :: Maybe (Char, Symbol) where ...

Equations

UnconsSymbolSym1 a6989586621679560363 = UnconsSymbol a6989586621679560363

data CharToNatSym0 :: (~>) 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 (a6989586621679560611 :: Char)

Defined in GHC.TypeLits.Singletons

type Apply CharToNatSym0 (a6989586621679560611 :: Char) = CharToNat a6989586621679560611

type family CharToNatSym1 (a6989586621679560611 :: Char) :: Natural where ...

Equations

CharToNatSym1 a6989586621679560611 = CharToNat a6989586621679560611

data NatToCharSym0 :: (~>) 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 (a6989586621679560864 :: Natural)

Defined in GHC.TypeLits.Singletons

type Apply NatToCharSym0 (a6989586621679560864 :: Natural) = NatToChar a6989586621679560864

type family NatToCharSym1 (a6989586621679560864 :: Natural) :: Char where ...

Equations

NatToCharSym1 a6989586621679560864 = NatToChar a6989586621679560864

Orphan instances

IsString Symbol

Methods

fromString :: String -> Symbol

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

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