Copyright	(C) 2014 Richard Eisenberg
License	BSD-style (see LICENSE)
Maintainer	Ryan Scott
Stability	experimental
Portability	non-portable
Safe Haskell	None
Language	Haskell2010

Data.Singletons.TypeLits

Contents

Defunctionalization symbols
Orphan instances

Description

Defines and exports singletons useful for the Nat and Symbol kinds.

Synopsis

data Nat
data Symbol
data family Sing :: k -> Type
type SNat (x :: Nat) = Sing x
type SSymbol (x :: Symbol) = Sing x
withKnownNat :: Sing n -> (KnownNat n => r) -> r
withKnownSymbol :: Sing n -> (KnownSymbol n => r) -> r
type family Error (str :: k0) :: k where ...
sError :: HasCallStack => Sing (str :: Symbol) -> a
type family ErrorWithoutStackTrace (str :: k0) :: k where ...
sErrorWithoutStackTrace :: Sing (str :: Symbol) -> a
type family Undefined :: k where ...
sUndefined :: HasCallStack => a
class KnownNat (n :: Nat)
natVal :: KnownNat n => proxy n -> Natural
class KnownSymbol (n :: Symbol)
symbolVal :: KnownSymbol n => proxy n -> String
type family (a :: Nat) ^ (b :: Nat) :: Nat where ...
(%^) :: Sing a -> Sing b -> Sing (a ^ b)
type family (a :: Nat) <=? (b :: Nat) :: Bool where ...
(%<=?) :: Sing a -> Sing b -> Sing (a <=? b)
type family Log2 (a :: Nat) :: Nat where ...
sLog2 :: Sing x -> Sing (Log2 x)
type family Div (a :: Nat) (b :: Nat) :: Nat where ...
sDiv :: Sing x -> Sing y -> Sing (Div x y)
type family Mod (a :: Nat) (b :: Nat) :: Nat where ...
sMod :: Sing x -> Sing y -> Sing (Mod x y)
type family DivMod (a :: Nat) (a :: Nat) :: (Nat, Nat) where ...
sDivMod :: Sing x -> Sing y -> Sing (DivMod x y)
type family Quot (a :: Nat) (a :: Nat) :: Nat where ...
sQuot :: Sing x -> Sing y -> Sing (Quot x y)
type family Rem (a :: Nat) (a :: Nat) :: Nat where ...
sRem :: Sing x -> Sing y -> Sing (Rem x y)
type family QuotRem (a :: Nat) (a :: Nat) :: (Nat, Nat) where ...
sQuotRem :: Sing x -> Sing y -> Sing (QuotRem x y)
data ErrorSym0 :: forall k06989586621679458997 k6989586621679458996. (~>) k06989586621679458997 k6989586621679458996
type ErrorSym1 (str6989586621679458998 :: k06989586621679458997) = Error str6989586621679458998
data ErrorWithoutStackTraceSym0 :: forall k06989586621679460047 k6989586621679460046. (~>) k06989586621679460047 k6989586621679460046
type ErrorWithoutStackTraceSym1 (str6989586621679460048 :: k06989586621679460047) = ErrorWithoutStackTrace str6989586621679460048
type UndefinedSym0 = Undefined
data KnownNatSym0 :: (~>) Nat Constraint
type KnownNatSym1 (n6989586621679459252 :: Nat) = KnownNat n6989586621679459252
data KnownSymbolSym0 :: (~>) Symbol Constraint
type KnownSymbolSym1 (n6989586621679459192 :: Symbol) = KnownSymbol n6989586621679459192
data (^@#@$) :: (~>) Nat ((~>) Nat Nat)
data (^@#@$$) (a3530822107858468865 :: Nat) :: (~>) Nat Nat
type (^@#@$$$) (a3530822107858468865 :: Nat) (b3530822107858468866 :: Nat) = (^) a3530822107858468865 b3530822107858468866
data (<=?@#@$) :: (~>) Nat ((~>) Nat Bool)
data (<=?@#@$$) (a3530822107858468865 :: Nat) :: (~>) Nat Bool
type (<=?@#@$$$) (a3530822107858468865 :: Nat) (b3530822107858468866 :: Nat) = (<=?) a3530822107858468865 b3530822107858468866
data Log2Sym0 :: (~>) Nat Nat
type Log2Sym1 (a3530822107858468865 :: Nat) = Log2 a3530822107858468865
data DivSym0 :: (~>) Nat ((~>) Nat Nat)
data DivSym1 (a3530822107858468865 :: Nat) :: (~>) Nat Nat
type DivSym2 (a3530822107858468865 :: Nat) (b3530822107858468866 :: Nat) = Div a3530822107858468865 b3530822107858468866
data ModSym0 :: (~>) Nat ((~>) Nat Nat)
data ModSym1 (a3530822107858468865 :: Nat) :: (~>) Nat Nat
type ModSym2 (a3530822107858468865 :: Nat) (b3530822107858468866 :: Nat) = Mod a3530822107858468865 b3530822107858468866
data DivModSym0 :: (~>) Nat ((~>) Nat (Nat, Nat))
data DivModSym1 (a6989586621679478588 :: Nat) :: (~>) Nat (Nat, Nat)
type DivModSym2 (a6989586621679478588 :: Nat) (a6989586621679478589 :: Nat) = DivMod a6989586621679478588 a6989586621679478589
data QuotSym0 :: (~>) Nat ((~>) Nat Nat)
data QuotSym1 (a6989586621679478582 :: Nat) :: (~>) Nat Nat
type QuotSym2 (a6989586621679478582 :: Nat) (a6989586621679478583 :: Nat) = Quot a6989586621679478582 a6989586621679478583
data RemSym0 :: (~>) Nat ((~>) Nat Nat)
data RemSym1 (a6989586621679478572 :: Nat) :: (~>) Nat Nat
type RemSym2 (a6989586621679478572 :: Nat) (a6989586621679478573 :: Nat) = Rem a6989586621679478572 a6989586621679478573
data QuotRemSym0 :: (~>) Nat ((~>) Nat (Nat, Nat))
data QuotRemSym1 (a6989586621679478598 :: Nat) :: (~>) Nat (Nat, Nat)
type QuotRemSym2 (a6989586621679478598 :: Nat) (a6989586621679478599 :: Nat) = QuotRem a6989586621679478598 a6989586621679478599

Documentation

data Nat #

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

Instances

Enum Nat Source #
Instance details Defined in Data.Singletons.TypeLits Methods succ :: Nat -> Nat # pred :: Nat -> Nat # toEnum :: Int -> Nat # fromEnum :: Nat -> Int # enumFrom :: Nat -> [Nat] # enumFromThen :: Nat -> Nat -> [Nat] # enumFromTo :: Nat -> Nat -> [Nat] # enumFromThenTo :: Nat -> Nat -> Nat -> [Nat] #
Eq Nat Source #
Instance details Defined in Data.Singletons.TypeLits Methods (==) :: Nat -> Nat -> Bool # (/=) :: Nat -> Nat -> Bool #
Num Nat Source #	This bogus `Num` instance is helpful for people who want to define functions over Nats that will only be used at the type level or as singletons. A correct SNum instance for Nat singletons exists.
Instance details Defined in Data.Singletons.TypeLits Methods (+) :: Nat -> Nat -> Nat # (-) :: Nat -> Nat -> Nat # (*) :: Nat -> Nat -> Nat # negate :: Nat -> Nat # abs :: Nat -> Nat # signum :: Nat -> Nat # fromInteger :: Integer -> Nat #
Ord Nat Source #
Instance details Defined in Data.Singletons.TypeLits Methods compare :: Nat -> Nat -> Ordering # (<) :: Nat -> Nat -> Bool # (<=) :: Nat -> Nat -> Bool # (>) :: Nat -> Nat -> Bool # (>=) :: Nat -> Nat -> Bool # max :: Nat -> Nat -> Nat # min :: Nat -> Nat -> Nat #
Show Nat Source #
Instance details Defined in Data.Singletons.TypeLits Methods showsPrec :: Int -> Nat -> ShowS # show :: Nat -> String # showList :: [Nat] -> ShowS #
SingKind Nat Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Associated Types type Demote Nat = (r :: Type) Source # Methods fromSing :: Sing a -> Demote Nat Source # toSing :: Demote Nat -> SomeSing Nat Source #
SDecide Nat Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods (%~) :: Sing a -> Sing b -> Decision (a :~: b) Source #
PEq Nat Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Associated Types type x == y :: Bool Source # type x /= y :: Bool Source #
SEq Nat Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods (%==) :: Sing a -> Sing b -> Sing (a == b) Source # (%/=) :: Sing a -> Sing b -> Sing (a /= b) Source #
SOrd Nat Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods sCompare :: Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
POrd Nat Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Associated Types type Compare arg arg :: Ordering Source # type arg < arg :: Bool Source # type arg <= arg :: Bool Source # type arg > arg :: Bool Source # type arg >= arg :: Bool Source # type Max arg arg :: a Source # type Min arg arg :: a Source #
SNum Nat Source #
Instance details Defined in Data.Singletons.Prelude.Num Methods (%+) :: Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t) Source # (%-) :: Sing t -> Sing t -> Sing (Apply (Apply (-@#@$) t) t) Source # (%) :: Sing t -> Sing t -> Sing (Apply (Apply (@#@$) t) t) Source # sNegate :: Sing t -> Sing (Apply NegateSym0 t) Source # sAbs :: Sing t -> Sing (Apply AbsSym0 t) Source # sSignum :: Sing t -> Sing (Apply SignumSym0 t) Source # sFromInteger :: Sing t -> Sing (Apply FromIntegerSym0 t) Source #
PNum Nat Source #
Instance details Defined in Data.Singletons.Prelude.Num Associated Types type arg + arg :: a Source # type arg - arg :: a Source # type arg * arg :: a Source # type Negate arg :: a Source # type Abs arg :: a Source # type Signum arg :: a Source # type FromInteger arg :: a Source #
SEnum Nat Source #
Instance details Defined in Data.Singletons.Prelude.Enum Methods sSucc :: Sing t -> Sing (Apply SuccSym0 t) Source # sPred :: Sing t -> Sing (Apply PredSym0 t) Source # sToEnum :: Sing t -> Sing (Apply ToEnumSym0 t) Source # sFromEnum :: Sing t -> Sing (Apply FromEnumSym0 t) Source # sEnumFromTo :: Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t) Source # sEnumFromThenTo :: Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t) Source #
PEnum Nat Source #
Instance details Defined in Data.Singletons.Prelude.Enum Associated Types type Succ arg :: a Source # type Pred arg :: a Source # type ToEnum arg :: a Source # type FromEnum arg :: Nat Source # type EnumFromTo arg arg :: [a] Source # type EnumFromThenTo arg arg arg :: [a] Source #
SShow Nat Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sShowsPrec :: Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
PShow Nat Source #
Instance details Defined in Data.Singletons.Prelude.Show Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
KnownNat n => SingI (n :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods sing :: Sing n Source #
Show (SNat n) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> SNat n -> ShowS # show :: SNat n -> String # showList :: [SNat n] -> ShowS #
SingI Log2Sym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods sing :: Sing Log2Sym0 Source #
SingI (<=?@#@$) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods sing :: Sing (<=?@#@$) Source #
SingI (^@#@$) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods sing :: Sing (^@#@$) Source #
SingI DivSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods sing :: Sing DivSym0 Source #
SingI ModSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods sing :: Sing ModSym0 Source #
SuppressUnusedWarnings KnownNatSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings Log2Sym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (<=?@#@$) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (^@#@$) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings DivSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings ModSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings QuotSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings RemSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings QuotRemSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings DivModSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
SingI x => SingI ((<=?@#@$$) x :: TyFun Nat Bool -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods sing :: Sing ((<=?@#@$$) x) Source #
SingI x => SingI ((^@#@$$) x :: TyFun Nat Nat -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods sing :: Sing ((^@#@$$) x) Source #
SingI x => SingI (DivSym1 x :: TyFun Nat Nat -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits Methods sing :: Sing (DivSym1 x) Source #
SingI x => SingI (ModSym1 x :: TyFun Nat Nat -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits Methods sing :: Sing (ModSym1 x) Source #
SingI ((!!@#@$) :: TyFun [a] (Nat ~> a) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods sing :: Sing (!!@#@$) Source #
SNum a => SingI (FromIntegerSym0 :: TyFun Nat a -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Num Methods sing :: Sing FromIntegerSym0 Source #
SEnum a => SingI (ToEnumSym0 :: TyFun Nat a -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Enum Methods sing :: Sing ToEnumSym0 Source #
SingI (SplitAtSym0 :: TyFun Nat ([a] ~> ([a], [a])) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods sing :: Sing SplitAtSym0 Source #
SingI (DropSym0 :: TyFun Nat ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods sing :: Sing DropSym0 Source #
SingI (TakeSym0 :: TyFun Nat ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods sing :: Sing TakeSym0 Source #
SingI (ReplicateSym0 :: TyFun Nat (a ~> [a]) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods sing :: Sing ReplicateSym0 Source #
SShow a => SingI (ShowsPrecSym0 :: TyFun Nat (a ~> (Symbol ~> Symbol)) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing ShowsPrecSym0 Source #
SingI (SplitAtSym0 :: TyFun Nat (NonEmpty a ~> ([a], [a])) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.NonEmpty Methods sing :: Sing SplitAtSym0 Source #
SingI (DropSym0 :: TyFun Nat (NonEmpty a ~> [a]) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.NonEmpty Methods sing :: Sing DropSym0 Source #
SingI (TakeSym0 :: TyFun Nat (NonEmpty a ~> [a]) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.NonEmpty Methods sing :: Sing TakeSym0 Source #
SEnum a => SingI (FromEnumSym0 :: TyFun a Nat -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Enum Methods sing :: Sing FromEnumSym0 Source #
SEq a => SingI (ElemIndicesSym0 :: TyFun a ([a] ~> [Nat]) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods sing :: Sing ElemIndicesSym0 Source #
SEq a => SingI (ElemIndexSym0 :: TyFun a ([a] ~> Maybe Nat) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods sing :: Sing ElemIndexSym0 Source #
SingI ((!!@#@$) :: TyFun (NonEmpty a) (Nat ~> a) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.NonEmpty Methods sing :: Sing (!!@#@$) Source #
SingI (LengthSym0 :: TyFun (NonEmpty a) Nat -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.NonEmpty Methods sing :: Sing LengthSym0 Source #
SingI (FindIndicesSym0 :: TyFun (a ~> Bool) ([a] ~> [Nat]) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods sing :: Sing FindIndicesSym0 Source #
SingI (FindIndexSym0 :: TyFun (a ~> Bool) ([a] ~> Maybe Nat) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods sing :: Sing FindIndexSym0 Source #
SuppressUnusedWarnings ((!!@#@$) :: TyFun [a6989586621679929418] (Nat ~> a6989586621679929418) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings ((<=?@#@$$) a3530822107858468865 :: TyFun Nat Bool -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings ((^@#@$$) a3530822107858468865 :: TyFun Nat Nat -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (DivSym1 a3530822107858468865 :: TyFun Nat Nat -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ModSym1 a3530822107858468865 :: TyFun Nat Nat -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (QuotSym1 a6989586621679478582 :: TyFun Nat Nat -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (RemSym1 a6989586621679478572 :: TyFun Nat Nat -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (QuotRemSym1 a6989586621679478598 :: TyFun Nat (Nat, Nat) -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (DivModSym1 a6989586621679478588 :: TyFun Nat (Nat, Nat) -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (FromIntegerSym0 :: TyFun Nat a6989586621679496884 -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Num Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ToEnumSym0 :: TyFun Nat a6989586621679730982 -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (DropSym0 :: TyFun Nat ([a6989586621679929435] ~> [a6989586621679929435]) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (TakeSym0 :: TyFun Nat ([a6989586621679929436] ~> [a6989586621679929436]) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (SplitAtSym0 :: TyFun Nat ([a6989586621679929434] ~> ([a6989586621679929434], [a6989586621679929434])) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ReplicateSym0 :: TyFun Nat (a6989586621679929420 ~> [a6989586621679929420]) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ShowsPrecSym0 :: TyFun Nat (a6989586621680248665 ~> (Symbol ~> Symbol)) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (TakeSym0 :: TyFun Nat (NonEmpty a6989586621681089447 ~> [a6989586621681089447]) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.NonEmpty Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (DropSym0 :: TyFun Nat (NonEmpty a6989586621681089446 ~> [a6989586621681089446]) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.NonEmpty Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (SplitAtSym0 :: TyFun Nat (NonEmpty a6989586621681089445 ~> ([a6989586621681089445], [a6989586621681089445])) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.NonEmpty Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (FromEnumSym0 :: TyFun a6989586621679730982 Nat -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ElemIndicesSym0 :: TyFun a6989586621679929446 ([a6989586621679929446] ~> [Nat]) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ElemIndexSym0 :: TyFun a6989586621679929447 ([a6989586621679929447] ~> Maybe Nat) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings ((!!@#@$) :: TyFun (NonEmpty a6989586621681089425) (Nat ~> a6989586621681089425) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.NonEmpty Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (LengthSym0 :: TyFun (NonEmpty a6989586621681089478) Nat -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.NonEmpty Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (FindIndicesSym0 :: TyFun (a6989586621679929444 ~> Bool) ([a6989586621679929444] ~> [Nat]) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (FindIndexSym0 :: TyFun (a6989586621679929445 ~> Bool) ([a6989586621679929445] ~> Maybe Nat) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods suppressUnusedWarnings :: () Source #
SingI d => SingI (FindIndicesSym1 d :: TyFun [a] [Nat] -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods sing :: Sing (FindIndicesSym1 d) Source #
SingI d => SingI (FindIndexSym1 d :: TyFun [a] (Maybe Nat) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods sing :: Sing (FindIndexSym1 d) Source #
(SEq a, SingI d) => SingI (ElemIndicesSym1 d :: TyFun [a] [Nat] -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods sing :: Sing (ElemIndicesSym1 d) Source #
(SEq a, SingI d) => SingI (ElemIndexSym1 d :: TyFun [a] (Maybe Nat) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods sing :: Sing (ElemIndexSym1 d) Source #
SingI d => SingI ((!!@#@$$) d :: TyFun Nat a -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods sing :: Sing ((!!@#@$$) d) Source #
SingI d => SingI ((!!@#@$$) d :: TyFun Nat a -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.NonEmpty Methods sing :: Sing ((!!@#@$$) d) Source #
SApplicative m => SingI (ReplicateM_Sym0 :: TyFun Nat (m a ~> m ()) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad Methods sing :: Sing ReplicateM_Sym0 Source #
SApplicative m => SingI (ReplicateMSym0 :: TyFun Nat (m a ~> m [a]) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad Methods sing :: Sing ReplicateMSym0 Source #
SuppressUnusedWarnings (FindIndicesSym1 a6989586621679939331 :: TyFun [a6989586621679929444] [Nat] -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ElemIndicesSym1 a6989586621679939357 :: TyFun [a6989586621679929446] [Nat] -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (FindIndexSym1 a6989586621679939365 :: TyFun [a6989586621679929445] (Maybe Nat) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ElemIndexSym1 a6989586621679939373 :: TyFun [a6989586621679929447] (Maybe Nat) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings ((!!@#@$$) a6989586621679938708 :: TyFun Nat a6989586621679929418 -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings ((!!@#@$$) a6989586621681090931 :: TyFun Nat a6989586621681089425 -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.List.NonEmpty Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ReplicateM_Sym0 :: TyFun Nat (m6989586621681193217 a6989586621681193218 ~> m6989586621681193217 ()) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ReplicateMSym0 :: TyFun Nat (m6989586621681193219 a6989586621681193220 ~> m6989586621681193219 [a6989586621681193220]) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad Methods suppressUnusedWarnings :: () Source #
SFoldable t => SingI (LengthSym0 :: TyFun (t a) Nat -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Foldable Methods sing :: Sing LengthSym0 Source #
SuppressUnusedWarnings (LengthSym0 :: TyFun (t6989586621680438526 a6989586621680438542) Nat -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Foldable Methods suppressUnusedWarnings :: () Source #
type Demote Nat Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Demote Nat = Natural
data Sing (n :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal data Sing (n :: Nat) where SNat :: forall (n :: Nat). KnownNat n => Sing n
type Negate (a :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.Num type Negate (a :: Nat) = (Error "Cannot negate a natural number" :: Nat)
type Abs (a :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.Num type Abs (a :: Nat) = a
type Signum (a :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.Num type Signum (a :: Nat)
type FromInteger a Source #
Instance details Defined in Data.Singletons.Prelude.Num type FromInteger a = a
type Succ (a :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.Enum type Succ (a :: Nat)
type Pred (a :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.Enum type Pred (a :: Nat)
type ToEnum a Source #
Instance details Defined in Data.Singletons.Prelude.Enum type ToEnum a
type FromEnum (a :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.Enum type FromEnum (a :: Nat)
type Show_ (arg :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Show_ (arg :: Nat)
type (x :: Nat) == (y :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type (x :: Nat) == (y :: Nat) = DefaultEq x y
type (x :: Nat) /= (y :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type (x :: Nat) /= (y :: Nat) = Not (x == y)
type Compare (a :: Nat) (b :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Compare (a :: Nat) (b :: Nat) = CmpNat a b
type (arg1 :: Nat) < (arg2 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type (arg1 :: Nat) < (arg2 :: Nat)
type (arg1 :: Nat) <= (arg2 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type (arg1 :: Nat) <= (arg2 :: Nat)
type (arg1 :: Nat) > (arg2 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type (arg1 :: Nat) > (arg2 :: Nat)
type (arg1 :: Nat) >= (arg2 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type (arg1 :: Nat) >= (arg2 :: Nat)
type Max (arg1 :: Nat) (arg2 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Max (arg1 :: Nat) (arg2 :: Nat)
type Min (arg1 :: Nat) (arg2 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Min (arg1 :: Nat) (arg2 :: Nat)
type (a :: Nat) + (b :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.Num type (a :: Nat) + (b :: Nat) = a + b
type (a :: Nat) - (b :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.Num type (a :: Nat) - (b :: Nat) = a - b
type (a :: Nat) * (b :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.Num type (a :: Nat) * (b :: Nat) = a * b
type EnumFromTo (a1 :: Nat) (a2 :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.Enum type EnumFromTo (a1 :: Nat) (a2 :: Nat)
type ShowList (arg1 :: [Nat]) arg2 Source #
Instance details Defined in Data.Singletons.Prelude.Show type ShowList (arg1 :: [Nat]) arg2
type Apply KnownNatSym0 (n6989586621679459252 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply KnownNatSym0 (n6989586621679459252 :: Nat) = KnownNat n6989586621679459252
type Apply Log2Sym0 (a3530822107858468865 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply Log2Sym0 (a3530822107858468865 :: Nat) = Log2 a3530822107858468865
type EnumFromThenTo (a1 :: Nat) (a2 :: Nat) (a3 :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.Enum type EnumFromThenTo (a1 :: Nat) (a2 :: Nat) (a3 :: Nat)
type ShowsPrec _ (n :: Nat) x Source #
Instance details Defined in Data.Singletons.Prelude.Show type ShowsPrec _ (n :: Nat) x
type Apply ((<=?@#@$$) a3530822107858468865 :: TyFun Nat Bool -> Type) (b3530822107858468866 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Apply ((<=?@#@$$) a3530822107858468865 :: TyFun Nat Bool -> Type) (b3530822107858468866 :: Nat) = a3530822107858468865 <=? b3530822107858468866
type Apply ((^@#@$$) a3530822107858468865 :: TyFun Nat Nat -> Type) (b3530822107858468866 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Apply ((^@#@$$) a3530822107858468865 :: TyFun Nat Nat -> Type) (b3530822107858468866 :: Nat) = a3530822107858468865 ^ b3530822107858468866
type Apply (DivSym1 a3530822107858468865 :: TyFun Nat Nat -> Type) (b3530822107858468866 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply (DivSym1 a3530822107858468865 :: TyFun Nat Nat -> Type) (b3530822107858468866 :: Nat) = Div a3530822107858468865 b3530822107858468866
type Apply (ModSym1 a3530822107858468865 :: TyFun Nat Nat -> Type) (b3530822107858468866 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply (ModSym1 a3530822107858468865 :: TyFun Nat Nat -> Type) (b3530822107858468866 :: Nat) = Mod a3530822107858468865 b3530822107858468866
type Apply (QuotSym1 a6989586621679478582 :: TyFun Nat Nat -> Type) (a6989586621679478583 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply (QuotSym1 a6989586621679478582 :: TyFun Nat Nat -> Type) (a6989586621679478583 :: Nat) = Quot a6989586621679478582 a6989586621679478583
type Apply (RemSym1 a6989586621679478572 :: TyFun Nat Nat -> Type) (a6989586621679478573 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply (RemSym1 a6989586621679478572 :: TyFun Nat Nat -> Type) (a6989586621679478573 :: Nat) = Rem a6989586621679478572 a6989586621679478573
type Apply (FromEnumSym0 :: TyFun a Nat -> Type) (arg6989586621679731272 :: a) Source #
Instance details Defined in Data.Singletons.Prelude.Enum type Apply (FromEnumSym0 :: TyFun a Nat -> Type) (arg6989586621679731272 :: a) = FromEnum arg6989586621679731272
type Apply (FromIntegerSym0 :: TyFun Nat k2 -> Type) (arg6989586621679496922 :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.Num type Apply (FromIntegerSym0 :: TyFun Nat k2 -> Type) (arg6989586621679496922 :: Nat) = (FromInteger arg6989586621679496922 :: k2)
type Apply (ToEnumSym0 :: TyFun Nat k2 -> Type) (arg6989586621679731270 :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.Enum type Apply (ToEnumSym0 :: TyFun Nat k2 -> Type) (arg6989586621679731270 :: Nat) = (ToEnum arg6989586621679731270 :: k2)
type Apply ((!!@#@$$) a6989586621679938708 :: TyFun Nat a -> Type) (a6989586621679938709 :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal type Apply ((!!@#@$$) a6989586621679938708 :: TyFun Nat a -> Type) (a6989586621679938709 :: Nat) = a6989586621679938708 !! a6989586621679938709
type Apply ((!!@#@$$) a6989586621681090931 :: TyFun Nat a -> Type) (a6989586621681090932 :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.List.NonEmpty type Apply ((!!@#@$$) a6989586621681090931 :: TyFun Nat a -> Type) (a6989586621681090932 :: Nat) = a6989586621681090931 !! a6989586621681090932
type Apply (LengthSym0 :: TyFun (NonEmpty a) Nat -> Type) (a6989586621681091361 :: NonEmpty a) Source #
Instance details Defined in Data.Singletons.Prelude.List.NonEmpty type Apply (LengthSym0 :: TyFun (NonEmpty a) Nat -> Type) (a6989586621681091361 :: NonEmpty a) = Length a6989586621681091361
type Apply (LengthSym0 :: TyFun (t a) Nat -> Type) (arg6989586621680439191 :: t a) Source #
Instance details Defined in Data.Singletons.Prelude.Foldable type Apply (LengthSym0 :: TyFun (t a) Nat -> Type) (arg6989586621680439191 :: t a) = Length arg6989586621680439191
type Apply (FindIndicesSym1 a6989586621679939331 :: TyFun [a] [Nat] -> Type) (a6989586621679939332 :: [a]) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal type Apply (FindIndicesSym1 a6989586621679939331 :: TyFun [a] [Nat] -> Type) (a6989586621679939332 :: [a]) = FindIndices a6989586621679939331 a6989586621679939332
type Apply (ElemIndicesSym1 a6989586621679939357 :: TyFun [a] [Nat] -> Type) (a6989586621679939358 :: [a]) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal type Apply (ElemIndicesSym1 a6989586621679939357 :: TyFun [a] [Nat] -> Type) (a6989586621679939358 :: [a]) = ElemIndices a6989586621679939357 a6989586621679939358
type Apply (FindIndexSym1 a6989586621679939365 :: TyFun [a] (Maybe Nat) -> Type) (a6989586621679939366 :: [a]) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal type Apply (FindIndexSym1 a6989586621679939365 :: TyFun [a] (Maybe Nat) -> Type) (a6989586621679939366 :: [a]) = FindIndex a6989586621679939365 a6989586621679939366
type Apply (ElemIndexSym1 a6989586621679939373 :: TyFun [a] (Maybe Nat) -> Type) (a6989586621679939374 :: [a]) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal type Apply (ElemIndexSym1 a6989586621679939373 :: TyFun [a] (Maybe Nat) -> Type) (a6989586621679939374 :: [a]) = ElemIndex a6989586621679939373 a6989586621679939374
type Apply (<=?@#@$) (a3530822107858468865 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Apply (<=?@#@$) (a3530822107858468865 :: Nat) = (<=?@#@$$) a3530822107858468865
type Apply (^@#@$) (a3530822107858468865 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Apply (^@#@$) (a3530822107858468865 :: Nat) = (^@#@$$) a3530822107858468865
type Apply DivSym0 (a3530822107858468865 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply DivSym0 (a3530822107858468865 :: Nat) = DivSym1 a3530822107858468865
type Apply ModSym0 (a3530822107858468865 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply ModSym0 (a3530822107858468865 :: Nat) = ModSym1 a3530822107858468865
type Apply QuotSym0 (a6989586621679478582 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply QuotSym0 (a6989586621679478582 :: Nat) = QuotSym1 a6989586621679478582
type Apply RemSym0 (a6989586621679478572 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply RemSym0 (a6989586621679478572 :: Nat) = RemSym1 a6989586621679478572
type Apply QuotRemSym0 (a6989586621679478598 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply QuotRemSym0 (a6989586621679478598 :: Nat) = QuotRemSym1 a6989586621679478598
type Apply DivModSym0 (a6989586621679478588 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply DivModSym0 (a6989586621679478588 :: Nat) = DivModSym1 a6989586621679478588
type Apply (QuotRemSym1 a6989586621679478598 :: TyFun Nat (Nat, Nat) -> Type) (a6989586621679478599 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply (QuotRemSym1 a6989586621679478598 :: TyFun Nat (Nat, Nat) -> Type) (a6989586621679478599 :: Nat) = QuotRem a6989586621679478598 a6989586621679478599
type Apply (DivModSym1 a6989586621679478588 :: TyFun Nat (Nat, Nat) -> Type) (a6989586621679478589 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply (DivModSym1 a6989586621679478588 :: TyFun Nat (Nat, Nat) -> Type) (a6989586621679478589 :: Nat) = DivMod a6989586621679478588 a6989586621679478589
type Apply (DropSym0 :: TyFun Nat ([a6989586621679929435] ~> [a6989586621679929435]) -> Type) (a6989586621679938804 :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal type Apply (DropSym0 :: TyFun Nat ([a6989586621679929435] ~> [a6989586621679929435]) -> Type) (a6989586621679938804 :: Nat) = (DropSym1 a6989586621679938804 a6989586621679929435 :: TyFun [a6989586621679929435] [a6989586621679929435] -> Type)
type Apply (TakeSym0 :: TyFun Nat ([a6989586621679929436] ~> [a6989586621679929436]) -> Type) (a6989586621679938818 :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal type Apply (TakeSym0 :: TyFun Nat ([a6989586621679929436] ~> [a6989586621679929436]) -> Type) (a6989586621679938818 :: Nat) = (TakeSym1 a6989586621679938818 a6989586621679929436 :: TyFun [a6989586621679929436] [a6989586621679929436] -> Type)
type Apply (SplitAtSym0 :: TyFun Nat ([a6989586621679929434] ~> ([a6989586621679929434], [a6989586621679929434])) -> Type) (a6989586621679938832 :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal type Apply (SplitAtSym0 :: TyFun Nat ([a6989586621679929434] ~> ([a6989586621679929434], [a6989586621679929434])) -> Type) (a6989586621679938832 :: Nat) = (SplitAtSym1 a6989586621679938832 a6989586621679929434 :: TyFun [a6989586621679929434] ([a6989586621679929434], [a6989586621679929434]) -> Type)
type Apply (ElemIndicesSym0 :: TyFun a6989586621679929446 ([a6989586621679929446] ~> [Nat]) -> Type) (a6989586621679939357 :: a6989586621679929446) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal type Apply (ElemIndicesSym0 :: TyFun a6989586621679929446 ([a6989586621679929446] ~> [Nat]) -> Type) (a6989586621679939357 :: a6989586621679929446) = ElemIndicesSym1 a6989586621679939357
type Apply (ElemIndexSym0 :: TyFun a6989586621679929447 ([a6989586621679929447] ~> Maybe Nat) -> Type) (a6989586621679939373 :: a6989586621679929447) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal type Apply (ElemIndexSym0 :: TyFun a6989586621679929447 ([a6989586621679929447] ~> Maybe Nat) -> Type) (a6989586621679939373 :: a6989586621679929447) = ElemIndexSym1 a6989586621679939373
type Apply (ReplicateSym0 :: TyFun Nat (a6989586621679929420 ~> [a6989586621679929420]) -> Type) (a6989586621679938722 :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal type Apply (ReplicateSym0 :: TyFun Nat (a6989586621679929420 ~> [a6989586621679929420]) -> Type) (a6989586621679938722 :: Nat) = (ReplicateSym1 a6989586621679938722 a6989586621679929420 :: TyFun a6989586621679929420 [a6989586621679929420] -> Type)
type Apply (ShowsPrecSym0 :: TyFun Nat (a6989586621680248665 ~> (Symbol ~> Symbol)) -> Type) (arg6989586621680250615 :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply (ShowsPrecSym0 :: TyFun Nat (a6989586621680248665 ~> (Symbol ~> Symbol)) -> Type) (arg6989586621680250615 :: Nat) = (ShowsPrecSym1 arg6989586621680250615 a6989586621680248665 :: TyFun a6989586621680248665 (Symbol ~> Symbol) -> Type)
type Apply (TakeSym0 :: TyFun Nat (NonEmpty a6989586621681089447 ~> [a6989586621681089447]) -> Type) (a6989586621681091091 :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.List.NonEmpty type Apply (TakeSym0 :: TyFun Nat (NonEmpty a6989586621681089447 ~> [a6989586621681089447]) -> Type) (a6989586621681091091 :: Nat) = (TakeSym1 a6989586621681091091 a6989586621681089447 :: TyFun (NonEmpty a6989586621681089447) [a6989586621681089447] -> Type)
type Apply (DropSym0 :: TyFun Nat (NonEmpty a6989586621681089446 ~> [a6989586621681089446]) -> Type) (a6989586621681091099 :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.List.NonEmpty type Apply (DropSym0 :: TyFun Nat (NonEmpty a6989586621681089446 ~> [a6989586621681089446]) -> Type) (a6989586621681091099 :: Nat) = (DropSym1 a6989586621681091099 a6989586621681089446 :: TyFun (NonEmpty a6989586621681089446) [a6989586621681089446] -> Type)
type Apply (SplitAtSym0 :: TyFun Nat (NonEmpty a6989586621681089445 ~> ([a6989586621681089445], [a6989586621681089445])) -> Type) (a6989586621681091107 :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.List.NonEmpty type Apply (SplitAtSym0 :: TyFun Nat (NonEmpty a6989586621681089445 ~> ([a6989586621681089445], [a6989586621681089445])) -> Type) (a6989586621681091107 :: Nat) = (SplitAtSym1 a6989586621681091107 a6989586621681089445 :: TyFun (NonEmpty a6989586621681089445) ([a6989586621681089445], [a6989586621681089445]) -> Type)
type Apply (ReplicateM_Sym0 :: TyFun Nat (m6989586621681193217 a6989586621681193218 ~> m6989586621681193217 ()) -> Type) (a6989586621681193593 :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.Monad type Apply (ReplicateM_Sym0 :: TyFun Nat (m6989586621681193217 a6989586621681193218 ~> m6989586621681193217 ()) -> Type) (a6989586621681193593 :: Nat) = (ReplicateM_Sym1 a6989586621681193593 a6989586621681193218 m6989586621681193217 :: TyFun (m6989586621681193217 a6989586621681193218) (m6989586621681193217 ()) -> Type)
type Apply (ReplicateMSym0 :: TyFun Nat (m6989586621681193219 a6989586621681193220 ~> m6989586621681193219 [a6989586621681193220]) -> Type) (a6989586621681193612 :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.Monad type Apply (ReplicateMSym0 :: TyFun Nat (m6989586621681193219 a6989586621681193220 ~> m6989586621681193219 [a6989586621681193220]) -> Type) (a6989586621681193612 :: Nat) = (ReplicateMSym1 a6989586621681193612 a6989586621681193220 m6989586621681193219 :: TyFun (m6989586621681193219 a6989586621681193220) (m6989586621681193219 [a6989586621681193220]) -> Type)
type Apply ((!!@#@$) :: TyFun [a6989586621679929418] (Nat ~> a6989586621679929418) -> Type) (a6989586621679938708 :: [a6989586621679929418]) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal type Apply ((!!@#@$) :: TyFun [a6989586621679929418] (Nat ~> a6989586621679929418) -> Type) (a6989586621679938708 :: [a6989586621679929418]) = (!!@#@$$) a6989586621679938708
type Apply ((!!@#@$) :: TyFun (NonEmpty a6989586621681089425) (Nat ~> a6989586621681089425) -> Type) (a6989586621681090931 :: NonEmpty a6989586621681089425) Source #
Instance details Defined in Data.Singletons.Prelude.List.NonEmpty type Apply ((!!@#@$) :: TyFun (NonEmpty a6989586621681089425) (Nat ~> a6989586621681089425) -> Type) (a6989586621681090931 :: NonEmpty a6989586621681089425) = (!!@#@$$) a6989586621681090931
type Apply (FindIndicesSym0 :: TyFun (a6989586621679929444 ~> Bool) ([a6989586621679929444] ~> [Nat]) -> Type) (a6989586621679939331 :: a6989586621679929444 ~> Bool) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal type Apply (FindIndicesSym0 :: TyFun (a6989586621679929444 ~> Bool) ([a6989586621679929444] ~> [Nat]) -> Type) (a6989586621679939331 :: a6989586621679929444 ~> Bool) = FindIndicesSym1 a6989586621679939331
type Apply (FindIndexSym0 :: TyFun (a6989586621679929445 ~> Bool) ([a6989586621679929445] ~> Maybe Nat) -> Type) (a6989586621679939365 :: a6989586621679929445 ~> Bool) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal type Apply (FindIndexSym0 :: TyFun (a6989586621679929445 ~> Bool) ([a6989586621679929445] ~> Maybe Nat) -> Type) (a6989586621679939365 :: a6989586621679929445 ~> Bool) = FindIndexSym1 a6989586621679939365

data Symbol #

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

Instances

Eq Symbol Source #	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.
Instance details Defined in Data.Singletons.TypeLits Methods (==) :: Symbol -> Symbol -> Bool # (/=) :: Symbol -> Symbol -> Bool #
Ord Symbol Source #
Instance details Defined in Data.Singletons.TypeLits 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 #
Show Symbol Source #
Instance details Defined in Data.Singletons.TypeLits Methods showsPrec :: Int -> Symbol -> ShowS # show :: Symbol -> String # showList :: [Symbol] -> ShowS #
IsString Symbol Source #
Instance details Defined in Data.Singletons.TypeLits Methods fromString :: String -> Symbol #
Semigroup Symbol Source #
Instance details Defined in Data.Singletons.TypeLits Methods (<>) :: Symbol -> Symbol -> Symbol # sconcat :: NonEmpty Symbol -> Symbol # stimes :: Integral b => b -> Symbol -> Symbol #
Monoid Symbol Source #
Instance details Defined in Data.Singletons.TypeLits Methods mempty :: Symbol # mappend :: Symbol -> Symbol -> Symbol # mconcat :: [Symbol] -> Symbol #
SingKind Symbol	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Associated Types type DemoteRep Symbol :: Type Methods fromSing :: Sing a -> DemoteRep Symbol
SingKind Symbol Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Associated Types type Demote Symbol = (r :: Type) Source # Methods fromSing :: Sing a -> Demote Symbol Source # toSing :: Demote Symbol -> SomeSing Symbol Source #
SingKind PErrorMessage Source #
Instance details Defined in Data.Singletons.TypeError Associated Types type Demote PErrorMessage = (r :: Type) Source # Methods fromSing :: Sing a -> Demote PErrorMessage Source # toSing :: Demote PErrorMessage -> SomeSing PErrorMessage Source #
SDecide Symbol Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods (%~) :: Sing a -> Sing b -> Decision (a :~: b) Source #
PEq Symbol Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Associated Types type x == y :: Bool Source # type x /= y :: Bool Source #
SEq Symbol Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods (%==) :: Sing a -> Sing b -> Sing (a == b) Source # (%/=) :: Sing a -> Sing b -> Sing (a /= b) Source #
SOrd Symbol Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods sCompare :: Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
POrd Symbol Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Associated Types type Compare arg arg :: Ordering Source # type arg < arg :: Bool Source # type arg <= arg :: Bool Source # type arg > arg :: Bool Source # type arg >= arg :: Bool Source # type Max arg arg :: a Source # type Min arg arg :: a Source #
SSemigroup Symbol Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Methods (%<>) :: Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: Sing t -> Sing (Apply SconcatSym0 t) Source #
PSemigroup Symbol Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
SShow Symbol Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sShowsPrec :: Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
PShow Symbol Source #
Instance details Defined in Data.Singletons.Prelude.Show Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
SMonoid Symbol Source #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sMempty :: Sing MemptySym0 Source # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) Source #
PMonoid Symbol Source #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
SIsString Symbol Source #
Instance details Defined in Data.Singletons.Prelude.IsString Methods sFromString :: Sing t -> Sing (Apply FromStringSym0 t) Source #
PIsString Symbol Source #
Instance details Defined in Data.Singletons.Prelude.IsString Associated Types type FromString arg :: a Source #
KnownSymbol a => SingI (a :: Symbol)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods sing :: Sing a
KnownSymbol n => SingI (n :: Symbol) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods sing :: Sing n Source #
SingI t => SingI (Text t :: ErrorMessage' Symbol) Source #
Instance details Defined in Data.Singletons.TypeError Methods sing :: Sing (Text t) Source #
SingI ty => SingI (ShowType ty :: ErrorMessage' Symbol) Source #
Instance details Defined in Data.Singletons.TypeError Methods sing :: Sing (ShowType ty) Source #
(SingI e1, SingI e2) => SingI (e1 :<>: e2 :: ErrorMessage' Symbol) Source #
Instance details Defined in Data.Singletons.TypeError Methods sing :: Sing (e1 :<>: e2) Source #
(SingI e1, SingI e2) => SingI (e1 :$$: e2 :: ErrorMessage' Symbol) Source #
Instance details Defined in Data.Singletons.TypeError Methods sing :: Sing (e1 :$$: e2) Source #
Show (SSymbol s) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> SSymbol s -> ShowS # show :: SSymbol s -> String # showList :: [SSymbol s] -> ShowS #
SingI ShowParenSym0 Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing ShowParenSym0 Source #
SingI UnlinesSym0 Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods sing :: Sing UnlinesSym0 Source #
SingI UnwordsSym0 Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods sing :: Sing UnwordsSym0 Source #
SingI ShowCommaSpaceSym0 Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing ShowCommaSpaceSym0 Source #
SingI ShowSpaceSym0 Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing ShowSpaceSym0 Source #
SingI ShowCharSym0 Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing ShowCharSym0 Source #
SingI ShowStringSym0 Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing ShowStringSym0 Source #
SuppressUnusedWarnings ShowParenSym0 Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings UnlinesSym0 Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings UnwordsSym0 Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings KnownSymbolSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings ShowCommaSpaceSym0 Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings ShowSpaceSym0 Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings ShowCharSym0 Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings ShowStringSym0 Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SingI (TypeErrorSym0 :: TyFun PErrorMessage b6989586621681244485 -> Type) Source #
Instance details Defined in Data.Singletons.TypeError Methods sing :: Sing TypeErrorSym0 Source #
SShow a => SingI (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing ShowListSym0 Source #
SShow a => SingI (ShowsPrecSym0 :: TyFun Nat (a ~> (Symbol ~> Symbol)) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing ShowsPrecSym0 Source #
SingI d => SingI (ShowCharSym1 d :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing (ShowCharSym1 d) Source #
SingI d => SingI (ShowStringSym1 d :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing (ShowStringSym1 d) Source #
SIsString a => SingI (FromStringSym0 :: TyFun Symbol a -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.IsString Methods sing :: Sing FromStringSym0 Source #
SingI (TextSym0 :: TyFun Symbol (ErrorMessage' Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.TypeError Methods sing :: Sing TextSym0 Source #
SShow a => SingI (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing ShowsSym0 Source #
SShow a => SingI (Show_Sym0 :: TyFun a Symbol -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing Show_Sym0 Source #
SingI d => SingI (ShowParenSym1 d :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing (ShowParenSym1 d) Source #
SingI (ShowListWithSym0 :: TyFun (a ~> (Symbol ~> Symbol)) ([a] ~> (Symbol ~> Symbol)) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing ShowListWithSym0 Source #
SingI ((:$$:@#@$) :: TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol ~> ErrorMessage' Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.TypeError Methods sing :: Sing (:$$:@#@$) Source #
SingI ((:<>:@#@$) :: TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol ~> ErrorMessage' Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.TypeError Methods sing :: Sing (:<>:@#@$) Source #
SuppressUnusedWarnings (ShowListSym0 :: TyFun [a6989586621680248665] (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ShowsPrecSym0 :: TyFun Nat (a6989586621680248665 ~> (Symbol ~> Symbol)) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ShowCharSym1 a6989586621680250549 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ShowStringSym1 a6989586621680250534 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (FromStringSym0 :: TyFun Symbol a6989586621681182111 -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.IsString Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (Show_Sym0 :: TyFun a6989586621680248665 Symbol -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ShowsSym0 :: TyFun a6989586621680248650 (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ShowParenSym1 a6989586621680250555 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ShowListWithSym0 :: TyFun (a6989586621680248649 ~> (Symbol ~> Symbol)) ([a6989586621680248649] ~> (Symbol ~> Symbol)) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (TypeErrorSym0 :: TyFun PErrorMessage b6989586621681244485 -> Type) Source #
Instance details Defined in Data.Singletons.TypeError Methods suppressUnusedWarnings :: () Source #
SingI d => SingI (ShowListWithSym1 d :: TyFun [a] (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing (ShowListWithSym1 d) Source #
(SShow a, SingI d) => SingI (ShowListSym1 d :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing (ShowListSym1 d) Source #
(SShow a, SingI d) => SingI (ShowsSym1 d :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing (ShowsSym1 d) Source #
(SingI d1, SingI d2) => SingI (ShowParenSym2 d1 d2 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing (ShowParenSym2 d1 d2) Source #
SingI (ErrorSym0 :: TyFun Symbol a -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods sing :: Sing ErrorSym0 Source #
SingI (ErrorWithoutStackTraceSym0 :: TyFun Symbol a -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods sing :: Sing ErrorWithoutStackTraceSym0 Source #
(SShow a, SingI d) => SingI (ShowsPrecSym1 d a :: TyFun a (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing (ShowsPrecSym1 d a) Source #
SingI (ShowTypeSym0 :: TyFun t (ErrorMessage' Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.TypeError Methods sing :: Sing ShowTypeSym0 Source #
SingI x => SingI ((:$$:@#@$$) x :: TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.TypeError Methods sing :: Sing ((:$$:@#@$$) x) Source #
SingI x => SingI ((:<>:@#@$$) x :: TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.TypeError Methods sing :: Sing ((:<>:@#@$$) x) Source #
SuppressUnusedWarnings (ShowListWithSym1 a6989586621680250587 :: TyFun [a6989586621680248649] (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ShowListSym1 arg6989586621680250623 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ShowsSym1 a6989586621680250607 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ShowParenSym2 a6989586621680250556 a6989586621680250555 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ShowsPrecSym1 arg6989586621680250615 a6989586621680248665 :: TyFun a6989586621680248665 (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
(SShow a, SingI d1, SingI d2) => SingI (ShowsPrecSym2 d1 d2 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing (ShowsPrecSym2 d1 d2) Source #
(SingI d1, SingI d2) => SingI (ShowListWithSym2 d1 d2 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods sing :: Sing (ShowListWithSym2 d1 d2) Source #
SMonad m => SingI (FailSym0 :: TyFun Symbol (m a) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods sing :: Sing FailSym0 Source #
SingI (TyCon1 (Text :: Symbol -> ErrorMessage' Symbol)) Source #
Instance details Defined in Data.Singletons.TypeError Methods sing :: Sing (TyCon1 Text) Source #
SingI (TyCon1 (ShowType :: t -> ErrorMessage' Symbol) :: t ~> ErrorMessage' Symbol) Source #
Instance details Defined in Data.Singletons.TypeError Methods sing :: Sing (TyCon1 ShowType) Source #
SingI x => SingI (TyCon1 ((:<>:) x) :: ErrorMessage' Symbol ~> ErrorMessage' Symbol) Source #
Instance details Defined in Data.Singletons.TypeError Methods sing :: Sing (TyCon1 ((:<>:) x)) Source #
SingI x => SingI (TyCon1 ((:$$:) x) :: ErrorMessage' Symbol ~> ErrorMessage' Symbol) Source #
Instance details Defined in Data.Singletons.TypeError Methods sing :: Sing (TyCon1 ((:$$:) x)) Source #
SuppressUnusedWarnings (ShowsPrecSym2 arg6989586621680250616 arg6989586621680250615 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (ShowListWithSym2 a6989586621680250588 a6989586621680250587 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () Source #
SuppressUnusedWarnings (FailSym0 :: TyFun Symbol (m6989586621679536072 a6989586621679536078) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods suppressUnusedWarnings :: () Source #
SingI (TyCon2 ((:<>:) :: ErrorMessage' Symbol -> ErrorMessage' Symbol -> ErrorMessage' Symbol)) Source #
Instance details Defined in Data.Singletons.TypeError Methods sing :: Sing (TyCon2 (:<>:)) Source #
SingI (TyCon2 ((:$$:) :: ErrorMessage' Symbol -> ErrorMessage' Symbol -> ErrorMessage' Symbol)) Source #
Instance details Defined in Data.Singletons.TypeError Methods sing :: Sing (TyCon2 (:$$:)) Source #
data Sing (s :: Symbol)
Instance details Defined in GHC.Generics data Sing (s :: Symbol) where SSym :: forall (s :: Symbol). KnownSymbol s => Sing s
type DemoteRep Symbol
Instance details Defined in GHC.Generics type DemoteRep Symbol = String
type Demote Symbol Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Demote Symbol = Text
type Demote PErrorMessage Source #
Instance details Defined in Data.Singletons.TypeError type Demote PErrorMessage = ErrorMessage
data Sing (n :: Symbol) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal data Sing (n :: Symbol) where SSym :: forall (n :: Symbol). KnownSymbol n => Sing n
data Sing (a :: PErrorMessage) Source #
Instance details Defined in Data.Singletons.TypeError data Sing (a :: PErrorMessage) where SText :: forall (a :: PErrorMessage) (t :: Symbol). Sing t -> Sing (Text t) SShowType :: forall (a :: PErrorMessage) t (ty :: t). Sing ty -> Sing (ShowType ty :: ErrorMessage' Symbol) (:%<>:) :: forall (a :: PErrorMessage) (e1 :: ErrorMessage' Symbol) (e2 :: ErrorMessage' Symbol). Sing e1 -> Sing e2 -> Sing (e1 :<>: e2) (:%$$:) :: forall (a :: PErrorMessage) (e1 :: ErrorMessage' Symbol) (e2 :: ErrorMessage' Symbol). Sing e1 -> Sing e2 -> Sing (e1 :$$: e2)
type Mempty Source #
Instance details Defined in Data.Singletons.Prelude.Monoid type Mempty
type Sconcat (arg :: NonEmpty Symbol) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Sconcat (arg :: NonEmpty Symbol)
type Show_ (arg :: Symbol) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Show_ (arg :: Symbol)
type Mconcat (arg :: [Symbol]) Source #
Instance details Defined in Data.Singletons.Prelude.Monoid type Mconcat (arg :: [Symbol])
type FromString a Source #
Instance details Defined in Data.Singletons.Prelude.IsString type FromString a = a
type (x :: Symbol) == (y :: Symbol) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type (x :: Symbol) == (y :: Symbol) = DefaultEq x y
type (x :: Symbol) /= (y :: Symbol) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type (x :: Symbol) /= (y :: Symbol) = Not (x == y)
type Compare (a :: Symbol) (b :: Symbol) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Compare (a :: Symbol) (b :: Symbol) = CmpSymbol a b
type (arg1 :: Symbol) < (arg2 :: Symbol) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type (arg1 :: Symbol) < (arg2 :: Symbol)
type (arg1 :: Symbol) <= (arg2 :: Symbol) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type (arg1 :: Symbol) <= (arg2 :: Symbol)
type (arg1 :: Symbol) > (arg2 :: Symbol) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type (arg1 :: Symbol) > (arg2 :: Symbol)
type (arg1 :: Symbol) >= (arg2 :: Symbol) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type (arg1 :: Symbol) >= (arg2 :: Symbol)
type Max (arg1 :: Symbol) (arg2 :: Symbol) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Max (arg1 :: Symbol) (arg2 :: Symbol)
type Min (arg1 :: Symbol) (arg2 :: Symbol) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Min (arg1 :: Symbol) (arg2 :: Symbol)
type (a :: Symbol) <> (b :: Symbol) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type (a :: Symbol) <> (b :: Symbol) = AppendSymbol a b
type ShowList (arg1 :: [Symbol]) arg2 Source #
Instance details Defined in Data.Singletons.Prelude.Show type ShowList (arg1 :: [Symbol]) arg2
type Mappend (arg1 :: Symbol) (arg2 :: Symbol) Source #
Instance details Defined in Data.Singletons.Prelude.Monoid type Mappend (arg1 :: Symbol) (arg2 :: Symbol)
type Apply KnownSymbolSym0 (n6989586621679459192 :: Symbol) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply KnownSymbolSym0 (n6989586621679459192 :: Symbol) = KnownSymbol n6989586621679459192
type Apply ShowCommaSpaceSym0 (a6989586621680250542 :: Symbol) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply ShowCommaSpaceSym0 (a6989586621680250542 :: Symbol) = ShowCommaSpace a6989586621680250542
type Apply ShowSpaceSym0 (a6989586621680250521 :: Symbol) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply ShowSpaceSym0 (a6989586621680250521 :: Symbol) = ShowSpace a6989586621680250521
type ShowsPrec a1 (a2 :: Symbol) a3 Source #
Instance details Defined in Data.Singletons.Prelude.Show type ShowsPrec a1 (a2 :: Symbol) a3
type Apply (ShowCharSym1 a6989586621680250549 :: TyFun Symbol Symbol -> Type) (a6989586621680250550 :: Symbol) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply (ShowCharSym1 a6989586621680250549 :: TyFun Symbol Symbol -> Type) (a6989586621680250550 :: Symbol) = ShowChar a6989586621680250549 a6989586621680250550
type Apply (ShowStringSym1 a6989586621680250534 :: TyFun Symbol Symbol -> Type) (a6989586621680250535 :: Symbol) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply (ShowStringSym1 a6989586621680250534 :: TyFun Symbol Symbol -> Type) (a6989586621680250535 :: Symbol) = ShowString a6989586621680250534 a6989586621680250535
type Apply (Show_Sym0 :: TyFun a Symbol -> Type) (arg6989586621680250621 :: a) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply (Show_Sym0 :: TyFun a Symbol -> Type) (arg6989586621680250621 :: a) = Show_ arg6989586621680250621
type Apply (FromStringSym0 :: TyFun Symbol k2 -> Type) (arg6989586621681182147 :: Symbol) Source #
Instance details Defined in Data.Singletons.Prelude.IsString type Apply (FromStringSym0 :: TyFun Symbol k2 -> Type) (arg6989586621681182147 :: Symbol) = (FromString arg6989586621681182147 :: k2)
type Apply (TypeErrorSym0 :: TyFun PErrorMessage k2 -> Type) (a6989586621681244486 :: PErrorMessage) Source #
Instance details Defined in Data.Singletons.TypeError type Apply (TypeErrorSym0 :: TyFun PErrorMessage k2 -> Type) (a6989586621681244486 :: PErrorMessage) = (TypeError a6989586621681244486 :: k2)
type Apply (ShowListSym1 arg6989586621680250623 :: TyFun Symbol Symbol -> Type) (arg6989586621680250624 :: Symbol) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply (ShowListSym1 arg6989586621680250623 :: TyFun Symbol Symbol -> Type) (arg6989586621680250624 :: Symbol) = ShowList arg6989586621680250623 arg6989586621680250624
type Apply (ShowsSym1 a6989586621680250607 :: TyFun Symbol Symbol -> Type) (a6989586621680250608 :: Symbol) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply (ShowsSym1 a6989586621680250607 :: TyFun Symbol Symbol -> Type) (a6989586621680250608 :: Symbol) = Shows a6989586621680250607 a6989586621680250608
type Apply (ShowParenSym2 a6989586621680250556 a6989586621680250555 :: TyFun Symbol Symbol -> Type) (a6989586621680250557 :: Symbol) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply (ShowParenSym2 a6989586621680250556 a6989586621680250555 :: TyFun Symbol Symbol -> Type) (a6989586621680250557 :: Symbol) = ShowParen a6989586621680250556 a6989586621680250555 a6989586621680250557
type Apply (ShowsPrecSym2 arg6989586621680250616 arg6989586621680250615 :: TyFun Symbol Symbol -> Type) (arg6989586621680250617 :: Symbol) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply (ShowsPrecSym2 arg6989586621680250616 arg6989586621680250615 :: TyFun Symbol Symbol -> Type) (arg6989586621680250617 :: Symbol) = ShowsPrec arg6989586621680250616 arg6989586621680250615 arg6989586621680250617
type Apply (ShowListWithSym2 a6989586621680250588 a6989586621680250587 :: TyFun Symbol Symbol -> Type) (a6989586621680250589 :: Symbol) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply (ShowListWithSym2 a6989586621680250588 a6989586621680250587 :: TyFun Symbol Symbol -> Type) (a6989586621680250589 :: Symbol) = ShowListWith a6989586621680250588 a6989586621680250587 a6989586621680250589
type Apply UnlinesSym0 (a6989586621679939137 :: [Symbol]) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal type Apply UnlinesSym0 (a6989586621679939137 :: [Symbol]) = Unlines a6989586621679939137
type Apply UnwordsSym0 (a6989586621679939126 :: [Symbol]) Source #
Instance details Defined in Data.Singletons.Prelude.List.Internal type Apply UnwordsSym0 (a6989586621679939126 :: [Symbol]) = Unwords a6989586621679939126
type Apply (FailSym0 :: TyFun Symbol (m6989586621679536072 a6989586621679536078) -> Type) (arg6989586621679536554 :: Symbol) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal type Apply (FailSym0 :: TyFun Symbol (m6989586621679536072 a6989586621679536078) -> Type) (arg6989586621679536554 :: Symbol) = (Fail arg6989586621679536554 :: m6989586621679536072 a6989586621679536078)
type Apply ShowCharSym0 (a6989586621680250549 :: Symbol) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply ShowCharSym0 (a6989586621680250549 :: Symbol) = ShowCharSym1 a6989586621680250549
type Apply ShowStringSym0 (a6989586621680250534 :: Symbol) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply ShowStringSym0 (a6989586621680250534 :: Symbol) = ShowStringSym1 a6989586621680250534
type Apply ShowParenSym0 (a6989586621680250555 :: Bool) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply ShowParenSym0 (a6989586621680250555 :: Bool) = ShowParenSym1 a6989586621680250555
type Apply (ShowsSym0 :: TyFun a6989586621680248650 (Symbol ~> Symbol) -> Type) (a6989586621680250607 :: a6989586621680248650) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply (ShowsSym0 :: TyFun a6989586621680248650 (Symbol ~> Symbol) -> Type) (a6989586621680250607 :: a6989586621680248650) = ShowsSym1 a6989586621680250607
type Apply (ShowsPrecSym0 :: TyFun Nat (a6989586621680248665 ~> (Symbol ~> Symbol)) -> Type) (arg6989586621680250615 :: Nat) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply (ShowsPrecSym0 :: TyFun Nat (a6989586621680248665 ~> (Symbol ~> Symbol)) -> Type) (arg6989586621680250615 :: Nat) = (ShowsPrecSym1 arg6989586621680250615 a6989586621680248665 :: TyFun a6989586621680248665 (Symbol ~> Symbol) -> Type)
type Apply (ShowsPrecSym1 arg6989586621680250615 a6989586621680248665 :: TyFun a6989586621680248665 (Symbol ~> Symbol) -> Type) (arg6989586621680250616 :: a6989586621680248665) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply (ShowsPrecSym1 arg6989586621680250615 a6989586621680248665 :: TyFun a6989586621680248665 (Symbol ~> Symbol) -> Type) (arg6989586621680250616 :: a6989586621680248665) = ShowsPrecSym2 arg6989586621680250615 arg6989586621680250616
type Apply (ShowListSym0 :: TyFun [a6989586621680248665] (Symbol ~> Symbol) -> Type) (arg6989586621680250623 :: [a6989586621680248665]) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply (ShowListSym0 :: TyFun [a6989586621680248665] (Symbol ~> Symbol) -> Type) (arg6989586621680250623 :: [a6989586621680248665]) = ShowListSym1 arg6989586621680250623
type Apply (ShowListWithSym1 a6989586621680250587 :: TyFun [a6989586621680248649] (Symbol ~> Symbol) -> Type) (a6989586621680250588 :: [a6989586621680248649]) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply (ShowListWithSym1 a6989586621680250587 :: TyFun [a6989586621680248649] (Symbol ~> Symbol) -> Type) (a6989586621680250588 :: [a6989586621680248649]) = ShowListWithSym2 a6989586621680250587 a6989586621680250588
type Apply (ShowListWithSym0 :: TyFun (a6989586621680248649 ~> (Symbol ~> Symbol)) ([a6989586621680248649] ~> (Symbol ~> Symbol)) -> Type) (a6989586621680250587 :: a6989586621680248649 ~> (Symbol ~> Symbol)) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply (ShowListWithSym0 :: TyFun (a6989586621680248649 ~> (Symbol ~> Symbol)) ([a6989586621680248649] ~> (Symbol ~> Symbol)) -> Type) (a6989586621680250587 :: a6989586621680248649 ~> (Symbol ~> Symbol)) = ShowListWithSym1 a6989586621680250587
type Apply (ShowParenSym1 a6989586621680250555 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) (a6989586621680250556 :: Symbol ~> Symbol) Source #
Instance details Defined in Data.Singletons.Prelude.Show type Apply (ShowParenSym1 a6989586621680250555 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) (a6989586621680250556 :: Symbol ~> Symbol) = ShowParenSym2 a6989586621680250555 a6989586621680250556

data family Sing :: k -> Type Source #

The singleton kind-indexed data family.

Instances

SDecide k => TestCoercion (Sing :: k -> Type) Source #
Instance details Defined in Data.Singletons.Decide Methods testCoercion :: Sing a -> Sing b -> Maybe (Coercion a b) #
SDecide k => TestEquality (Sing :: k -> Type) Source #
Instance details Defined in Data.Singletons.Decide Methods testEquality :: Sing a -> Sing b -> Maybe (a :~: b) #
Show (SSymbol s) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> SSymbol s -> ShowS # show :: SSymbol s -> String # showList :: [SSymbol s] -> ShowS #
Show (SNat n) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> SNat n -> ShowS # show :: SNat n -> String # showList :: [SNat n] -> ShowS #
Eq (Sing a) Source #
Instance details Defined in Data.Singletons.TypeRepTYPE Methods (==) :: Sing a -> Sing a -> Bool # (/=) :: Sing a -> Sing a -> Bool #
Ord (Sing a) Source #
Instance details Defined in Data.Singletons.TypeRepTYPE Methods compare :: Sing a -> Sing a -> Ordering # (<) :: Sing a -> Sing a -> Bool # (<=) :: Sing a -> Sing a -> Bool # (>) :: Sing a -> Sing a -> Bool # (>=) :: Sing a -> Sing a -> Bool # max :: Sing a -> Sing a -> Sing a # min :: Sing a -> Sing a -> Sing a #
Show (Sing z) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing [a]) => Show (Sing z) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
Show (Sing z) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b) => Show (Sing z) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
Show (Sing a) Source #
Instance details Defined in Data.Singletons.TypeRepTYPE Methods showsPrec :: Int -> Sing a -> ShowS # show :: Sing a -> String # showList :: [Sing a] -> ShowS #
Show (Sing z) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b) => Show (Sing z) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b, ShowSing c) => Show (Sing z) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d) => Show (Sing z) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e) => Show (Sing z) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e, ShowSing f) => Show (Sing z) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e, ShowSing f, ShowSing g) => Show (Sing z) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
Show (Sing z) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b) => Show (Sing z) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing m => Show (Sing z) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing (Maybe a) => Show (Sing z) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing (Maybe a) => Show (Sing z) Source #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing (Maybe a) => Show (Sing z) Source #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing Bool => Show (Sing z) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing Bool => Show (Sing z) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing [a]) => Show (Sing z) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
data Sing (a :: Bool) Source #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (a :: Bool) where SFalse :: forall (a :: Bool). Sing False STrue :: forall (a :: Bool). Sing True
data Sing (a :: Ordering) Source #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (a :: Ordering) where SLT :: forall (a :: Ordering). Sing LT SEQ :: forall (a :: Ordering). Sing EQ SGT :: forall (a :: Ordering). Sing GT
data Sing (n :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal data Sing (n :: Nat) where SNat :: forall (n :: Nat). KnownNat n => Sing n
data Sing (n :: Symbol) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal data Sing (n :: Symbol) where SSym :: forall (n :: Symbol). KnownSymbol n => Sing n
data Sing (a :: ()) Source #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (a :: ()) where STuple0 :: forall (a :: ()). Sing ()
data Sing (a :: Void) Source #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (a :: Void)
data Sing (a :: All) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (a :: All) where SAll :: forall (a :: All) (n :: Bool). {..} -> Sing (All n)
data Sing (a :: Any) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (a :: Any) where SAny :: forall (a :: Any) (n :: Bool). {..} -> Sing (Any n)
data Sing (a :: PErrorMessage) Source #
Instance details Defined in Data.Singletons.TypeError data Sing (a :: PErrorMessage) where SText :: forall (a :: PErrorMessage) (t :: Symbol). Sing t -> Sing (Text t) SShowType :: forall (a :: PErrorMessage) t (ty :: t). Sing ty -> Sing (ShowType ty :: ErrorMessage' Symbol) (:%<>:) :: forall (a :: PErrorMessage) (e1 :: ErrorMessage' Symbol) (e2 :: ErrorMessage' Symbol). Sing e1 -> Sing e2 -> Sing (e1 :<>: e2) (:%$$:) :: forall (a :: PErrorMessage) (e1 :: ErrorMessage' Symbol) (e2 :: ErrorMessage' Symbol). Sing e1 -> Sing e2 -> Sing (e1 :$$: e2)
data Sing (b :: [a]) Source #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (b :: [a]) where SNil :: forall k (b :: [k]). Sing ([] :: [k]) SCons :: forall a (b :: [a]) (n :: a) (n :: [a]). Sing n -> Sing n -> Sing (n ': n)
data Sing (b :: Maybe a) Source #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (b :: Maybe a) where SNothing :: forall a (b :: Maybe a). Sing (Nothing :: Maybe a) SJust :: forall a (b :: Maybe a) (n :: a). Sing n -> Sing (Just n)
data Sing (a :: TYPE rep) Source #	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 -> Type` 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 `TypeRep`s (for instance, `TypeRep`s 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.
Instance details Defined in Data.Singletons.TypeRepTYPE data Sing (a :: TYPE rep) = STypeRep (TypeRep a)
data Sing (b :: Min a) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Min a) where SMin :: forall a (b :: Min a) (n :: a). {..} -> Sing (Min n)
data Sing (b :: Max a) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Max a) where SMax :: forall a (b :: Max a) (n :: a). {..} -> Sing (Max n)
data Sing (b :: First a) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: First a) where SFirst :: forall a (b :: First a) (n :: a). {..} -> Sing (First n)
data Sing (b :: Last a) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Last a) where SLast :: forall a (b :: Last a) (n :: a). {..} -> Sing (Last n)
data Sing (a :: WrappedMonoid m) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (a :: WrappedMonoid m) where SWrapMonoid :: forall m (a :: WrappedMonoid m) (n :: m). {..} -> Sing (WrapMonoid n)
data Sing (b :: Option a) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Option a) where SOption :: forall a (b :: Option a) (n :: Maybe a). {..} -> Sing (Option n)
data Sing (b :: Identity a) Source #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (b :: Identity a) where SIdentity :: forall a (b :: Identity a) (n :: a). {..} -> Sing (Identity n)
data Sing (b :: First a) Source #
Instance details Defined in Data.Singletons.Prelude.Monoid data Sing (b :: First a) where SFirst :: forall a (b :: First a) (n :: Maybe a). {..} -> Sing (First n)
data Sing (b :: Last a) Source #
Instance details Defined in Data.Singletons.Prelude.Monoid data Sing (b :: Last a) where SLast :: forall a (b :: Last a) (n :: Maybe a). {..} -> Sing (Last n)
data Sing (b :: Dual a) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Dual a) where SDual :: forall a (b :: Dual a) (n :: a). {..} -> Sing (Dual n)
data Sing (b :: Sum a) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Sum a) where SSum :: forall a (b :: Sum a) (n :: a). {..} -> Sing (Sum n)
data Sing (b :: Product a) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Product a) where SProduct :: forall a (b :: Product a) (n :: a). {..} -> Sing (Product n)
data Sing (b :: Down a) Source #
Instance details Defined in Data.Singletons.Prelude.Ord data Sing (b :: Down a) where SDown :: forall a (b :: Down a) (n :: a). Sing n -> Sing (Down n)
data Sing (b :: NonEmpty a) Source #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (b :: NonEmpty a) where (:%\|) :: forall a (b :: NonEmpty a) (n :: a) (n :: [a]). Sing n -> Sing n -> Sing (n :\| n)
data Sing (c :: Either a b) Source #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (c :: Either a b) where SLeft :: forall a b (c :: Either a b) (n :: a). Sing n -> Sing (Left n :: Either a b) SRight :: forall a b (c :: Either a b) (n :: b). Sing n -> Sing (Right n :: Either a b)
data Sing (c :: (a, b)) Source #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (c :: (a, b)) where STuple2 :: forall a b (c :: (a, b)) (n :: a) (n :: b). Sing n -> Sing n -> Sing ((,) n n)
data Sing (c :: Arg a b) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup data Sing (c :: Arg a b) where SArg :: forall a b (c :: Arg a b) (n :: a) (n :: b). Sing n -> Sing n -> Sing (Arg n n)
data Sing (f :: k1 ~> k2) Source #
Instance details Defined in Data.Singletons.Internal data Sing (f :: k1 ~> k2) = SLambda { applySing :: forall (t :: k1). Sing t -> Sing (f @@ t) }
data Sing (d :: (a, b, c)) Source #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (d :: (a, b, c)) where STuple3 :: forall a b c (d :: (a, b, c)) (n :: a) (n :: b) (n :: c). Sing n -> Sing n -> Sing n -> Sing ((,,) n n n)
data Sing (c :: Const a b) Source #
Instance details Defined in Data.Singletons.Prelude.Const data Sing (c :: Const a b) where SConst :: forall k a (b :: k) (c :: Const a b) (a :: a). {..} -> Sing (Const a :: Const a b)
data Sing (e :: (a, b, c, d)) Source #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (e :: (a, b, c, d)) where STuple4 :: forall a b c d (e :: (a, b, c, d)) (n :: a) (n :: b) (n :: c) (n :: d). Sing n -> Sing n -> Sing n -> Sing n -> Sing ((,,,) n n n n)
data Sing (f :: (a, b, c, d, e)) Source #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (f :: (a, b, c, d, e)) where STuple5 :: forall a b c d e (f :: (a, b, c, d, e)) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e). Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing ((,,,,) n n n n n)
data Sing (g :: (a, b, c, d, e, f)) Source #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (g :: (a, b, c, d, e, f)) where STuple6 :: forall a b c d e f (g :: (a, b, c, d, e, f)) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e) (n :: f). Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing ((,,,,,) n n n n n n)
data Sing (h :: (a, b, c, d, e, f, g)) Source #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (h :: (a, b, c, d, e, f, g)) where STuple7 :: forall a b c d e f g (h :: (a, b, c, d, e, f, g)) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e) (n :: f) (n :: g). Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing ((,,,,,,) n n n n n n n)

type SNat (x :: Nat) = Sing x Source #

Kind-restricted synonym for Sing for Nats

type SSymbol (x :: Symbol) = Sing x Source #

Kind-restricted synonym for Sing for Symbols

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

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

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

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

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

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

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

The singleton for error

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

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

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

The singleton for errorWithoutStackTrace.

type family Undefined :: k where ... Source #

The promotion of undefined.

sUndefined :: HasCallStack => a Source #

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 :: 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 :: KnownSymbol n => proxy n -> String #

Since: base-4.7.0.0

type family (a :: Nat) ^ (b :: Nat) :: Nat where ... infixr 8 #

Exponentiation of type-level naturals.

Since: base-4.7.0.0

(%^) :: Sing a -> Sing b -> Sing (a ^ b) infixr 8 Source #

The singleton analogue of '(TN.^)' for Nats.

type family (a :: Nat) <=? (b :: Nat) :: Bool where ... infix 4 #

Comparison of type-level naturals, as a function. NOTE: The functionality for this function should be subsumed by CmpNat, so this might go away in the future. Please let us know, if you encounter discrepancies between the two.

(%<=?) :: Sing a -> Sing b -> Sing (a <=? b) infix 4 Source #

The singleton analogue of <=?

Note that, because of historical reasons in GHC's Nat API, <=? is incompatible (unification-wise) with <= and the PEq, SEq, POrd, and SOrd instances for Nat. (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.Singletons.Prelude.Ord, 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 Nat.

type family Log2 (a :: Nat) :: Nat 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) Source #

type family Div (a :: Nat) (b :: Nat) :: Nat 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 Source #

type family Mod (a :: Nat) (b :: Nat) :: Nat 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 Source #

type family DivMod (a :: Nat) (a :: Nat) :: (Nat, Nat) where ... Source #

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) Source #

type family Quot (a :: Nat) (a :: Nat) :: Nat where ... infixl 7 Source #

Equations

Quot a_6989586621679478578 a_6989586621679478580 = Apply (Apply DivSym0 a_6989586621679478578) a_6989586621679478580

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

type family Rem (a :: Nat) (a :: Nat) :: Nat where ... infixl 7 Source #

Equations

Rem a_6989586621679478568 a_6989586621679478570 = Apply (Apply ModSym0 a_6989586621679478568) a_6989586621679478570

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

type family QuotRem (a :: Nat) (a :: Nat) :: (Nat, Nat) where ... Source #

Equations

QuotRem a_6989586621679478594 a_6989586621679478596 = Apply (Apply DivModSym0 a_6989586621679478594) a_6989586621679478596

sQuotRem :: Sing x -> Sing y -> Sing (QuotRem x y) Source #

Defunctionalization symbols

data ErrorSym0 :: forall k06989586621679458997 k6989586621679458996. (~>) k06989586621679458997 k6989586621679458996 Source #

Instances

SingI (ErrorSym0 :: TyFun Symbol a -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods sing :: Sing ErrorSym0 Source #
SuppressUnusedWarnings (ErrorSym0 :: TyFun k06989586621679458997 k6989586621679458996 -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (ErrorSym0 :: TyFun k0 k2 -> Type) (str6989586621679458998 :: k0) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Apply (ErrorSym0 :: TyFun k0 k2 -> Type) (str6989586621679458998 :: k0) = (Error str6989586621679458998 :: k2)

type ErrorSym1 (str6989586621679458998 :: k06989586621679458997) = Error str6989586621679458998 Source #

data ErrorWithoutStackTraceSym0 :: forall k06989586621679460047 k6989586621679460046. (~>) k06989586621679460047 k6989586621679460046 Source #

Instances

SingI (ErrorWithoutStackTraceSym0 :: TyFun Symbol a -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods sing :: Sing ErrorWithoutStackTraceSym0 Source #
SuppressUnusedWarnings (ErrorWithoutStackTraceSym0 :: TyFun k06989586621679460047 k6989586621679460046 -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (ErrorWithoutStackTraceSym0 :: TyFun k0 k2 -> Type) (str6989586621679460048 :: k0) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Apply (ErrorWithoutStackTraceSym0 :: TyFun k0 k2 -> Type) (str6989586621679460048 :: k0) = (ErrorWithoutStackTrace str6989586621679460048 :: k2)

type ErrorWithoutStackTraceSym1 (str6989586621679460048 :: k06989586621679460047) = ErrorWithoutStackTrace str6989586621679460048 Source #

type UndefinedSym0 = Undefined Source #

data KnownNatSym0 :: (~>) Nat Constraint Source #

Instances

SuppressUnusedWarnings KnownNatSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
type Apply KnownNatSym0 (n6989586621679459252 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply KnownNatSym0 (n6989586621679459252 :: Nat) = KnownNat n6989586621679459252

type KnownNatSym1 (n6989586621679459252 :: Nat) = KnownNat n6989586621679459252 Source #

data KnownSymbolSym0 :: (~>) Symbol Constraint Source #

Instances

SuppressUnusedWarnings KnownSymbolSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
type Apply KnownSymbolSym0 (n6989586621679459192 :: Symbol) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply KnownSymbolSym0 (n6989586621679459192 :: Symbol) = KnownSymbol n6989586621679459192

type KnownSymbolSym1 (n6989586621679459192 :: Symbol) = KnownSymbol n6989586621679459192 Source #

data (^@#@$) :: (~>) Nat ((~>) Nat Nat) infixr 8 Source #

Instances

SingI (^@#@$) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods sing :: Sing (^@#@$) Source #
SuppressUnusedWarnings (^@#@$) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (^@#@$) (a3530822107858468865 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Apply (^@#@$) (a3530822107858468865 :: Nat) = (^@#@$$) a3530822107858468865

data (^@#@$$) (a3530822107858468865 :: Nat) :: (~>) Nat Nat infixr 8 Source #

Instances

SingI x => SingI ((^@#@$$) x :: TyFun Nat Nat -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods sing :: Sing ((^@#@$$) x) Source #
SuppressUnusedWarnings ((^@#@$$) a3530822107858468865 :: TyFun Nat Nat -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((^@#@$$) a3530822107858468865 :: TyFun Nat Nat -> Type) (b3530822107858468866 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Apply ((^@#@$$) a3530822107858468865 :: TyFun Nat Nat -> Type) (b3530822107858468866 :: Nat) = a3530822107858468865 ^ b3530822107858468866

type (^@#@$$$) (a3530822107858468865 :: Nat) (b3530822107858468866 :: Nat) = (^) a3530822107858468865 b3530822107858468866 Source #

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

Instances

SingI (<=?@#@$) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods sing :: Sing (<=?@#@$) Source #
SuppressUnusedWarnings (<=?@#@$) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (<=?@#@$) (a3530822107858468865 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Apply (<=?@#@$) (a3530822107858468865 :: Nat) = (<=?@#@$$) a3530822107858468865

data (<=?@#@$$) (a3530822107858468865 :: Nat) :: (~>) Nat Bool infix 4 Source #

Instances

SingI x => SingI ((<=?@#@$$) x :: TyFun Nat Bool -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods sing :: Sing ((<=?@#@$$) x) Source #
SuppressUnusedWarnings ((<=?@#@$$) a3530822107858468865 :: TyFun Nat Bool -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((<=?@#@$$) a3530822107858468865 :: TyFun Nat Bool -> Type) (b3530822107858468866 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Apply ((<=?@#@$$) a3530822107858468865 :: TyFun Nat Bool -> Type) (b3530822107858468866 :: Nat) = a3530822107858468865 <=? b3530822107858468866

type (<=?@#@$$$) (a3530822107858468865 :: Nat) (b3530822107858468866 :: Nat) = (<=?) a3530822107858468865 b3530822107858468866 Source #

data Log2Sym0 :: (~>) Nat Nat Source #

Instances

SingI Log2Sym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods sing :: Sing Log2Sym0 Source #
SuppressUnusedWarnings Log2Sym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
type Apply Log2Sym0 (a3530822107858468865 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply Log2Sym0 (a3530822107858468865 :: Nat) = Log2 a3530822107858468865

type Log2Sym1 (a3530822107858468865 :: Nat) = Log2 a3530822107858468865 Source #

data DivSym0 :: (~>) Nat ((~>) Nat Nat) infixl 7 Source #

Instances

SingI DivSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods sing :: Sing DivSym0 Source #
SuppressUnusedWarnings DivSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
type Apply DivSym0 (a3530822107858468865 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply DivSym0 (a3530822107858468865 :: Nat) = DivSym1 a3530822107858468865

data DivSym1 (a3530822107858468865 :: Nat) :: (~>) Nat Nat infixl 7 Source #

Instances

SingI x => SingI (DivSym1 x :: TyFun Nat Nat -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits Methods sing :: Sing (DivSym1 x) Source #
SuppressUnusedWarnings (DivSym1 a3530822107858468865 :: TyFun Nat Nat -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
type Apply (DivSym1 a3530822107858468865 :: TyFun Nat Nat -> Type) (b3530822107858468866 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply (DivSym1 a3530822107858468865 :: TyFun Nat Nat -> Type) (b3530822107858468866 :: Nat) = Div a3530822107858468865 b3530822107858468866

type DivSym2 (a3530822107858468865 :: Nat) (b3530822107858468866 :: Nat) = Div a3530822107858468865 b3530822107858468866 Source #

data ModSym0 :: (~>) Nat ((~>) Nat Nat) infixl 7 Source #

Instances

SingI ModSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods sing :: Sing ModSym0 Source #
SuppressUnusedWarnings ModSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
type Apply ModSym0 (a3530822107858468865 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply ModSym0 (a3530822107858468865 :: Nat) = ModSym1 a3530822107858468865

data ModSym1 (a3530822107858468865 :: Nat) :: (~>) Nat Nat infixl 7 Source #

Instances

SingI x => SingI (ModSym1 x :: TyFun Nat Nat -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits Methods sing :: Sing (ModSym1 x) Source #
SuppressUnusedWarnings (ModSym1 a3530822107858468865 :: TyFun Nat Nat -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
type Apply (ModSym1 a3530822107858468865 :: TyFun Nat Nat -> Type) (b3530822107858468866 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply (ModSym1 a3530822107858468865 :: TyFun Nat Nat -> Type) (b3530822107858468866 :: Nat) = Mod a3530822107858468865 b3530822107858468866

type ModSym2 (a3530822107858468865 :: Nat) (b3530822107858468866 :: Nat) = Mod a3530822107858468865 b3530822107858468866 Source #

data DivModSym0 :: (~>) Nat ((~>) Nat (Nat, Nat)) Source #

Instances

SuppressUnusedWarnings DivModSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
type Apply DivModSym0 (a6989586621679478588 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply DivModSym0 (a6989586621679478588 :: Nat) = DivModSym1 a6989586621679478588

data DivModSym1 (a6989586621679478588 :: Nat) :: (~>) Nat (Nat, Nat) Source #

Instances

SuppressUnusedWarnings (DivModSym1 a6989586621679478588 :: TyFun Nat (Nat, Nat) -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
type Apply (DivModSym1 a6989586621679478588 :: TyFun Nat (Nat, Nat) -> Type) (a6989586621679478589 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply (DivModSym1 a6989586621679478588 :: TyFun Nat (Nat, Nat) -> Type) (a6989586621679478589 :: Nat) = DivMod a6989586621679478588 a6989586621679478589

type DivModSym2 (a6989586621679478588 :: Nat) (a6989586621679478589 :: Nat) = DivMod a6989586621679478588 a6989586621679478589 Source #

data QuotSym0 :: (~>) Nat ((~>) Nat Nat) infixl 7 Source #

Instances

SuppressUnusedWarnings QuotSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
type Apply QuotSym0 (a6989586621679478582 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply QuotSym0 (a6989586621679478582 :: Nat) = QuotSym1 a6989586621679478582

data QuotSym1 (a6989586621679478582 :: Nat) :: (~>) Nat Nat infixl 7 Source #

Instances

SuppressUnusedWarnings (QuotSym1 a6989586621679478582 :: TyFun Nat Nat -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
type Apply (QuotSym1 a6989586621679478582 :: TyFun Nat Nat -> Type) (a6989586621679478583 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply (QuotSym1 a6989586621679478582 :: TyFun Nat Nat -> Type) (a6989586621679478583 :: Nat) = Quot a6989586621679478582 a6989586621679478583

type QuotSym2 (a6989586621679478582 :: Nat) (a6989586621679478583 :: Nat) = Quot a6989586621679478582 a6989586621679478583 Source #

data RemSym0 :: (~>) Nat ((~>) Nat Nat) infixl 7 Source #

Instances

SuppressUnusedWarnings RemSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
type Apply RemSym0 (a6989586621679478572 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply RemSym0 (a6989586621679478572 :: Nat) = RemSym1 a6989586621679478572

data RemSym1 (a6989586621679478572 :: Nat) :: (~>) Nat Nat infixl 7 Source #

Instances

SuppressUnusedWarnings (RemSym1 a6989586621679478572 :: TyFun Nat Nat -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
type Apply (RemSym1 a6989586621679478572 :: TyFun Nat Nat -> Type) (a6989586621679478573 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply (RemSym1 a6989586621679478572 :: TyFun Nat Nat -> Type) (a6989586621679478573 :: Nat) = Rem a6989586621679478572 a6989586621679478573

type RemSym2 (a6989586621679478572 :: Nat) (a6989586621679478573 :: Nat) = Rem a6989586621679478572 a6989586621679478573 Source #

data QuotRemSym0 :: (~>) Nat ((~>) Nat (Nat, Nat)) Source #

Instances

SuppressUnusedWarnings QuotRemSym0 Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
type Apply QuotRemSym0 (a6989586621679478598 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply QuotRemSym0 (a6989586621679478598 :: Nat) = QuotRemSym1 a6989586621679478598

data QuotRemSym1 (a6989586621679478598 :: Nat) :: (~>) Nat (Nat, Nat) Source #

Instances

SuppressUnusedWarnings (QuotRemSym1 a6989586621679478598 :: TyFun Nat (Nat, Nat) -> Type) Source #
Instance details Defined in Data.Singletons.TypeLits Methods suppressUnusedWarnings :: () Source #
type Apply (QuotRemSym1 a6989586621679478598 :: TyFun Nat (Nat, Nat) -> Type) (a6989586621679478599 :: Nat) Source #
Instance details Defined in Data.Singletons.TypeLits type Apply (QuotRemSym1 a6989586621679478598 :: TyFun Nat (Nat, Nat) -> Type) (a6989586621679478599 :: Nat) = QuotRem a6989586621679478598 a6989586621679478599

type QuotRemSym2 (a6989586621679478598 :: Nat) (a6989586621679478599 :: Nat) = QuotRem a6989586621679478598 a6989586621679478599 Source #

Orphan instances

Enum Nat Source #
Instance details Methods succ :: Nat -> Nat # pred :: Nat -> Nat # toEnum :: Int -> Nat # fromEnum :: Nat -> Int # enumFrom :: Nat -> [Nat] # enumFromThen :: Nat -> Nat -> [Nat] # enumFromTo :: Nat -> Nat -> [Nat] # enumFromThenTo :: Nat -> Nat -> Nat -> [Nat] #
Eq Nat Source #
Instance details Methods (==) :: Nat -> Nat -> Bool # (/=) :: Nat -> Nat -> Bool #
Eq Symbol Source #	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.
Instance details Methods (==) :: Symbol -> Symbol -> Bool # (/=) :: Symbol -> Symbol -> Bool #
Num Nat Source #	This bogus `Num` instance is helpful for people who want to define functions over Nats that will only be used at the type level or as singletons. A correct SNum instance for Nat singletons exists.
Instance details Methods (+) :: Nat -> Nat -> Nat # (-) :: Nat -> Nat -> Nat # (*) :: Nat -> Nat -> Nat # negate :: Nat -> Nat # abs :: Nat -> Nat # signum :: Nat -> Nat # fromInteger :: Integer -> Nat #
Ord Nat Source #
Instance details Methods compare :: Nat -> Nat -> Ordering # (<) :: Nat -> Nat -> Bool # (<=) :: Nat -> Nat -> Bool # (>) :: Nat -> Nat -> Bool # (>=) :: Nat -> Nat -> Bool # max :: Nat -> Nat -> Nat # min :: Nat -> Nat -> Nat #
Ord Symbol Source #
Instance details 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 #
Show Nat Source #
Instance details Methods showsPrec :: Int -> Nat -> ShowS # show :: Nat -> String # showList :: [Nat] -> ShowS #
Show Symbol Source #
Instance details Methods showsPrec :: Int -> Symbol -> ShowS # show :: Symbol -> String # showList :: [Symbol] -> ShowS #
IsString Symbol Source #
Instance details Methods fromString :: String -> Symbol #
Semigroup Symbol Source #
Instance details Methods (<>) :: Symbol -> Symbol -> Symbol # sconcat :: NonEmpty Symbol -> Symbol # stimes :: Integral b => b -> Symbol -> Symbol #
Monoid Symbol Source #
Instance details Methods mempty :: Symbol # mappend :: Symbol -> Symbol -> Symbol # mconcat :: [Symbol] -> Symbol #