Copyright	(C) 2013 Richard Eisenberg
License	BSD-style (see LICENSE)
Maintainer	Ryan Scott
Stability	experimental
Portability	non-portable
Safe Haskell	Safe-Inferred
Language	Haskell2010

Prelude.Singletons

Contents

Basic singleton definitions
Promoted and singled types, classes, and related functions
List operations
Converting to and from Symbol
- Converting to Symbol
Defunctionalization symbols
List operations
Converting to and from Symbol
- Converting to Symbol

Description

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

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

Synopsis

data SBool :: Bool -> Type where
- SFalse :: SBool ('False :: Bool)
- STrue :: SBool ('True :: Bool)
type family If (cond :: Bool) (tru :: k) (fls :: k) :: k where ...
sIf :: Sing a -> Sing b -> Sing c -> Sing (If a b c)
type family (a :: Bool) && (b :: Bool) :: Bool where ...
(%&&) :: Sing a -> Sing b -> Sing (a && b)
type family (a :: Bool) || (b :: Bool) :: Bool where ...
(%||) :: Sing a -> Sing b -> Sing (a || b)
type family Not (a :: Bool) = (res :: Bool) | res -> a where ...
sNot :: Sing a -> Sing (Not a)
type family Otherwise :: Bool where ...
sOtherwise :: Sing (OtherwiseSym0 :: Bool)
data SMaybe :: forall (a :: Type). Maybe a -> Type where
- SNothing :: forall (a :: Type). SMaybe ('Nothing :: Maybe (a :: Type))
- SJust :: forall (a :: Type) (n :: a). (Sing n) -> SMaybe ('Just n :: Maybe (a :: Type))
maybe_ :: b -> (a -> b) -> Maybe a -> b
type family Maybe_ (a :: b) (a :: (~>) a b) (a :: Maybe a) :: b where ...
sMaybe_ :: forall b a (t :: b) (t :: (~>) a b) (t :: Maybe a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Maybe_Sym0 t) t) t :: b)
data SEither :: forall (a :: Type) (b :: Type). Either a b -> Type where
- SLeft :: forall (a :: Type) (b :: Type) (n :: a). (Sing n) -> SEither ('Left n :: Either (a :: Type) (b :: Type))
- SRight :: forall (a :: Type) (b :: Type) (n :: b). (Sing n) -> SEither ('Right n :: Either (a :: Type) (b :: Type))
either_ :: (a -> c) -> (b -> c) -> Either a b -> c
type family Either_ (a :: (~>) a c) (a :: (~>) b c) (a :: Either a b) :: c where ...
sEither_ :: forall a c b (t :: (~>) a c) (t :: (~>) b c) (t :: Either a b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Either_Sym0 t) t) t :: c)
data SOrdering :: Ordering -> Type where
- SLT :: SOrdering ('LT :: Ordering)
- SEQ :: SOrdering ('EQ :: Ordering)
- SGT :: SOrdering ('GT :: Ordering)
data SChar (c :: Char)
data Symbol
data SList :: forall (a :: Type). [a] -> Type where
- SNil :: forall (a :: Type). SList ('[] :: [a :: Type])
- SCons :: forall (a :: Type) (n :: a) (n :: [a]). (Sing n) -> (Sing n) -> SList ('(:) n n :: [a :: Type])
data STuple0 :: () -> Type where
- STuple0 :: STuple0 ('() :: ())
data STuple2 :: forall (a :: Type) (b :: Type). (a, b) -> Type where
- STuple2 :: forall (a :: Type) (b :: Type) (n :: a) (n :: b). (Sing n) -> (Sing n) -> STuple2 ('(n, n) :: (a :: Type, b :: Type))
data STuple3 :: forall (a :: Type) (b :: Type) (c :: Type). (a, b, c) -> Type where
- STuple3 :: forall (a :: Type) (b :: Type) (c :: Type) (n :: a) (n :: b) (n :: c). (Sing n) -> (Sing n) -> (Sing n) -> STuple3 ('(n, n, n) :: (a :: Type, b :: Type, c :: Type))
data STuple4 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type). (a, b, c, d) -> Type where
- STuple4 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (n :: a) (n :: b) (n :: c) (n :: d). (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> STuple4 ('(n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type))
data STuple5 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type). (a, b, c, d, e) -> Type where
- STuple5 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e). (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> STuple5 ('(n, n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type))
data STuple6 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type). (a, b, c, d, e, f) -> Type where
- STuple6 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e) (n :: f). (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> STuple6 ('(n, n, n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))
data STuple7 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type) (g :: Type). (a, b, c, d, e, f, g) -> Type where
- STuple7 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type) (g :: Type) (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) -> STuple7 ('(n, n, n, n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))
type family Fst (a :: (a, b)) :: a where ...
sFst :: forall a b (t :: (a, b)). Sing t -> Sing (Apply FstSym0 t :: a)
type family Snd (a :: (a, b)) :: b where ...
sSnd :: forall a b (t :: (a, b)). Sing t -> Sing (Apply SndSym0 t :: b)
type family Curry (a :: (~>) (a, b) c) (a :: a) (a :: b) :: c where ...
sCurry :: forall a b c (t :: (~>) (a, b) c) (t :: a) (t :: b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply CurrySym0 t) t) t :: c)
type family Uncurry (a :: (~>) a ((~>) b c)) (a :: (a, b)) :: c where ...
sUncurry :: forall a b c (t :: (~>) a ((~>) b c)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply UncurrySym0 t) t :: c)
class PEq a where
- type (arg :: a) == (arg :: a) :: Bool
- type (arg :: a) /= (arg :: a) :: Bool
class SEq a where
- (%==) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t :: Bool)
- (%/=) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t :: Bool)
class POrd a where
- type Compare (arg :: a) (arg :: a) :: Ordering
- type (arg :: a) < (arg :: a) :: Bool
- type (arg :: a) <= (arg :: a) :: Bool
- type (arg :: a) > (arg :: a) :: Bool
- type (arg :: a) >= (arg :: a) :: Bool
- type Max (arg :: a) (arg :: a) :: a
- type Min (arg :: a) (arg :: a) :: a
class SEq a => SOrd a where
- sCompare :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t :: Ordering)
- (%<) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t :: Bool)
- (%<=) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t :: Bool)
- (%>) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t :: Bool)
- (%>=) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t :: Bool)
- sMax :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t :: a)
- sMin :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t :: a)
class PEnum a where
- type ToEnum (arg :: Natural) :: a
- type FromEnum (arg :: a) :: Natural
- type EnumFromTo (arg :: a) (arg :: a) :: [a]
- type EnumFromThenTo (arg :: a) (arg :: a) (arg :: a) :: [a]
class SEnum a where
- sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t :: a)
- sFromEnum :: forall (t :: a). Sing t -> Sing (Apply FromEnumSym0 t :: Natural)
- sEnumFromTo :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t :: [a])
- sEnumFromThenTo :: forall (t :: a) (t :: a) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t :: [a])
class PBounded a where
- type MinBound :: a
- type MaxBound :: a
class SBounded a where
- sMinBound :: Sing (MinBoundSym0 :: a)
- sMaxBound :: Sing (MaxBoundSym0 :: a)
class PNum a where
- type (arg :: a) + (arg :: a) :: a
- type (arg :: a) - (arg :: a) :: a
- type (arg :: a) * (arg :: a) :: a
- type Negate (arg :: a) :: a
- type Abs (arg :: a) :: a
- type Signum (arg :: a) :: a
- type FromInteger (arg :: Natural) :: a
class SNum a where
- (%+) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t :: a)
- (%-) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (-@#@$) t) t :: a)
- (%*) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (*@#@$) t) t :: a)
- sNegate :: forall (t :: a). Sing t -> Sing (Apply NegateSym0 t :: a)
- sAbs :: forall (t :: a). Sing t -> Sing (Apply AbsSym0 t :: a)
- sSignum :: forall (t :: a). Sing t -> Sing (Apply SignumSym0 t :: a)
- sFromInteger :: forall (t :: Natural). Sing t -> Sing (Apply FromIntegerSym0 t :: a)
type family Subtract (a :: a) (a :: a) :: a where ...
sSubtract :: forall a (t :: a) (t :: a). SNum a => Sing t -> Sing t -> Sing (Apply (Apply SubtractSym0 t) t :: a)
class PSemigroup a where
- type (arg :: a) <> (arg :: a) :: a
class SSemigroup a where
- (%<>) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t :: a)
class PMonoid a where
- type Mempty :: a
- type Mappend (arg :: a) (arg :: a) :: a
- type Mconcat (arg :: [a]) :: a
class SSemigroup a => SMonoid a where
- sMempty :: Sing (MemptySym0 :: a)
- sMappend :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t :: a)
- sMconcat :: forall (t :: [a]). Sing t -> Sing (Apply MconcatSym0 t :: a)
class PFunctor f where
- type Fmap (arg :: (~>) a b) (arg :: f a) :: f b
- type (arg :: a) <$ (arg :: f b) :: f a
class SFunctor f where
- sFmap :: forall a b (t :: (~>) a b) (t :: f a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t :: f b)
- (%<$) :: forall a b (t :: a) (t :: f b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t :: f a)
type family (a :: (~>) a b) <$> (a :: f a) :: f b where ...
(%<$>) :: forall a b f (t :: (~>) a b) (t :: f a). SFunctor f => Sing t -> Sing t -> Sing (Apply (Apply (<$>@#@$) t) t :: f b)
class PApplicative f where
- type Pure (arg :: a) :: f a
- type (arg :: f ((~>) a b)) <*> (arg :: f a) :: f b
- type (arg :: f a) *> (arg :: f b) :: f b
- type (arg :: f a) <* (arg :: f b) :: f a
class SFunctor f => SApplicative f where
- sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t :: f a)
- (%<*>) :: forall a b (t :: f ((~>) a b)) (t :: f a). Sing t -> Sing t -> Sing (Apply (Apply (<*>@#@$) t) t :: f b)
- (%*>) :: forall a b (t :: f a) (t :: f b). Sing t -> Sing t -> Sing (Apply (Apply (*>@#@$) t) t :: f b)
- (%<*) :: forall a b (t :: f a) (t :: f b). Sing t -> Sing t -> Sing (Apply (Apply (<*@#@$) t) t :: f a)
class PMonad m where
- type (arg :: m a) >>= (arg :: (~>) a (m b)) :: m b
- type (arg :: m a) >> (arg :: m b) :: m b
- type Return (arg :: a) :: m a
class SApplicative m => SMonad m where
- (%>>=) :: forall a b (t :: m a) (t :: (~>) a (m b)). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t :: m b)
- (%>>) :: forall a b (t :: m a) (t :: m b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t :: m b)
- sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t :: m a)
class PMonadFail m where
- type Fail (arg :: [Char]) :: m a
class SMonad m => SMonadFail m where
- sFail :: forall a (t :: [Char]). Sing t -> Sing (Apply FailSym0 t :: m a)
type family MapM_ (a :: (~>) a (m b)) (a :: t a) :: m () where ...
sMapM_ :: forall a m b t (t :: (~>) a (m b)) (t :: t a). (SFoldable t, SMonad m) => Sing t -> Sing t -> Sing (Apply (Apply MapM_Sym0 t) t :: m ())
type family Sequence_ (a :: t (m a)) :: m () where ...
sSequence_ :: forall t m a (t :: t (m a)). (SFoldable t, SMonad m) => Sing t -> Sing (Apply Sequence_Sym0 t :: m ())
type family (a :: (~>) a (m b)) =<< (a :: m a) :: m b where ...
(%=<<) :: forall a m b (t :: (~>) a (m b)) (t :: m a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply (=<<@#@$) t) t :: m b)
class PFoldable t where
- type FoldMap (arg :: (~>) a m) (arg :: t a) :: m
- type Foldr (arg :: (~>) a ((~>) b b)) (arg :: b) (arg :: t a) :: b
- type Foldl (arg :: (~>) b ((~>) a b)) (arg :: b) (arg :: t a) :: b
- type Foldr1 (arg :: (~>) a ((~>) a a)) (arg :: t a) :: a
- type Foldl1 (arg :: (~>) a ((~>) a a)) (arg :: t a) :: a
- type Elem (arg :: a) (arg :: t a) :: Bool
- type Maximum (arg :: t a) :: a
- type Minimum (arg :: t a) :: a
- type Sum (arg :: t a) :: a
- type Product (arg :: t a) :: a
class SFoldable t where
- sFoldMap :: forall a m (t :: (~>) a m) (t :: t a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t :: m)
- sFoldr :: forall a b (t :: (~>) a ((~>) b b)) (t :: b) (t :: t a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t :: b)
- sFoldl :: forall b a (t :: (~>) b ((~>) a b)) (t :: b) (t :: t a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t :: b)
- sFoldr1 :: forall a (t :: (~>) a ((~>) a a)) (t :: t a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t :: a)
- sFoldl1 :: forall a (t :: (~>) a ((~>) a a)) (t :: t a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t :: a)
- sElem :: forall a (t :: a) (t :: t a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t :: Bool)
- sMaximum :: forall a (t :: t a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t :: a)
- sMinimum :: forall a (t :: t a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t :: a)
- sSum :: forall a (t :: t a). SNum a => Sing t -> Sing (Apply SumSym0 t :: a)
- sProduct :: forall a (t :: t a). SNum a => Sing t -> Sing (Apply ProductSym0 t :: a)
class PTraversable t where
- type Traverse (arg :: (~>) a (f b)) (arg :: t a) :: f (t b)
- type SequenceA (arg :: t (f a)) :: f (t a)
- type MapM (arg :: (~>) a (m b)) (arg :: t a) :: m (t b)
- type Sequence (arg :: t (m a)) :: m (t a)
class (SFunctor t, SFoldable t) => STraversable t where
- sTraverse :: forall a f b (t :: (~>) a (f b)) (t :: t a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t :: f (t b))
- sSequenceA :: forall f a (t :: t (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t :: f (t a))
- sMapM :: forall a m b (t :: (~>) a (m b)) (t :: t a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t :: m (t b))
- sSequence :: forall m a (t :: t (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t :: m (t a))
type family Id (a :: a) :: a where ...
sId :: forall a (t :: a). Sing t -> Sing (Apply IdSym0 t :: a)
type family Const (a :: a) (a :: b) :: a where ...
sConst :: forall a b (t :: a) (t :: b). Sing t -> Sing t -> Sing (Apply (Apply ConstSym0 t) t :: a)
type family ((a :: (~>) b c) . (a :: (~>) a b)) (a :: a) :: c where ...
(%.) :: forall b c a (t :: (~>) b c) (t :: (~>) a b) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply (.@#@$) t) t) t :: c)
type family Flip (a :: (~>) a ((~>) b c)) (a :: b) (a :: a) :: c where ...
sFlip :: forall a b c (t :: (~>) a ((~>) b c)) (t :: b) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FlipSym0 t) t) t :: c)
type family (a :: (~>) a b) $ (a :: a) :: b where ...
(%$) :: forall a b (t :: (~>) a b) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply ($@#@$) t) t :: b)
type family Until (a :: (~>) a Bool) (a :: (~>) a a) (a :: a) :: a where ...
sUntil :: forall a (t :: (~>) a Bool) (t :: (~>) a a) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply UntilSym0 t) t) t :: a)
type family AsTypeOf (a :: a) (a :: a) :: a where ...
sAsTypeOf :: forall a (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply AsTypeOfSym0 t) t :: a)
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
type family Seq (a :: a) (a :: b) :: b where ...
sSeq :: forall a b (t :: a) (t :: b). Sing t -> Sing t -> Sing (Apply (Apply SeqSym0 t) t :: b)
type family (a :: (~>) a b) $! (a :: a) :: b where ...
(%$!) :: forall a b (t :: (~>) a b) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply ($!@#@$) t) t :: b)
type family Map (a :: (~>) a b) (a :: [a]) :: [b] where ...
sMap :: forall a b (t :: (~>) a b) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply MapSym0 t) t :: [b])
type family (a :: [a]) ++ (a :: [a]) :: [a] where ...
(%++) :: forall a (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply (++@#@$) t) t :: [a])
type family Filter (a :: (~>) a Bool) (a :: [a]) :: [a] where ...
sFilter :: forall a (t :: (~>) a Bool) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply FilterSym0 t) t :: [a])
type family Head (a :: [a]) :: a where ...
sHead :: forall a (t :: [a]). Sing t -> Sing (Apply HeadSym0 t :: a)
type family Last (a :: [a]) :: a where ...
sLast :: forall a (t :: [a]). Sing t -> Sing (Apply LastSym0 t :: a)
type family Tail (a :: [a]) :: [a] where ...
sTail :: forall a (t :: [a]). Sing t -> Sing (Apply TailSym0 t :: [a])
type family Init (a :: [a]) :: [a] where ...
sInit :: forall a (t :: [a]). Sing t -> Sing (Apply InitSym0 t :: [a])
type family (a :: [a]) !! (a :: Natural) :: a where ...
(%!!) :: forall a (t :: [a]) (t :: Natural). Sing t -> Sing t -> Sing (Apply (Apply (!!@#@$) t) t :: a)
type family Null (arg :: t a) :: Bool
sNull :: forall a (t :: t a). SFoldable t => Sing t -> Sing (Apply NullSym0 t :: Bool)
type family Length (arg :: t a) :: Natural
sLength :: forall a (t :: t a). SFoldable t => Sing t -> Sing (Apply LengthSym0 t :: Natural)
type family Reverse (a :: [a]) :: [a] where ...
sReverse :: forall a (t :: [a]). Sing t -> Sing (Apply ReverseSym0 t :: [a])
type family And (a :: t Bool) :: Bool where ...
sAnd :: forall t (t :: t Bool). SFoldable t => Sing t -> Sing (Apply AndSym0 t :: Bool)
type family Or (a :: t Bool) :: Bool where ...
sOr :: forall t (t :: t Bool). SFoldable t => Sing t -> Sing (Apply OrSym0 t :: Bool)
type family Any (a :: (~>) a Bool) (a :: t a) :: Bool where ...
sAny :: forall a t (t :: (~>) a Bool) (t :: t a). SFoldable t => Sing t -> Sing t -> Sing (Apply (Apply AnySym0 t) t :: Bool)
type family All (a :: (~>) a Bool) (a :: t a) :: Bool where ...
sAll :: forall a t (t :: (~>) a Bool) (t :: t a). SFoldable t => Sing t -> Sing t -> Sing (Apply (Apply AllSym0 t) t :: Bool)
type family Concat (a :: t [a]) :: [a] where ...
sConcat :: forall t a (t :: t [a]). SFoldable t => Sing t -> Sing (Apply ConcatSym0 t :: [a])
type family ConcatMap (a :: (~>) a [b]) (a :: t a) :: [b] where ...
sConcatMap :: forall a b t (t :: (~>) a [b]) (t :: t a). SFoldable t => Sing t -> Sing t -> Sing (Apply (Apply ConcatMapSym0 t) t :: [b])
type family Scanl (a :: (~>) b ((~>) a b)) (a :: b) (a :: [a]) :: [b] where ...
sScanl :: forall b a (t :: (~>) b ((~>) a b)) (t :: b) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ScanlSym0 t) t) t :: [b])
type family Scanl1 (a :: (~>) a ((~>) a a)) (a :: [a]) :: [a] where ...
sScanl1 :: forall a (t :: (~>) a ((~>) a a)) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply Scanl1Sym0 t) t :: [a])
type family Scanr (a :: (~>) a ((~>) b b)) (a :: b) (a :: [a]) :: [b] where ...
sScanr :: forall a b (t :: (~>) a ((~>) b b)) (t :: b) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ScanrSym0 t) t) t :: [b])
type family Scanr1 (a :: (~>) a ((~>) a a)) (a :: [a]) :: [a] where ...
sScanr1 :: forall a (t :: (~>) a ((~>) a a)) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply Scanr1Sym0 t) t :: [a])
type family Replicate (a :: Natural) (a :: a) :: [a] where ...
sReplicate :: forall a (t :: Natural) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply ReplicateSym0 t) t :: [a])
type family Take (a :: Natural) (a :: [a]) :: [a] where ...
sTake :: forall a (t :: Natural) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply TakeSym0 t) t :: [a])
type family Drop (a :: Natural) (a :: [a]) :: [a] where ...
sDrop :: forall a (t :: Natural) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply DropSym0 t) t :: [a])
type family TakeWhile (a :: (~>) a Bool) (a :: [a]) :: [a] where ...
sTakeWhile :: forall a (t :: (~>) a Bool) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply TakeWhileSym0 t) t :: [a])
type family DropWhile (a :: (~>) a Bool) (a :: [a]) :: [a] where ...
sDropWhile :: forall a (t :: (~>) a Bool) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply DropWhileSym0 t) t :: [a])
type family Span (a :: (~>) a Bool) (a :: [a]) :: ([a], [a]) where ...
sSpan :: forall a (t :: (~>) a Bool) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply SpanSym0 t) t :: ([a], [a]))
type family Break (a :: (~>) a Bool) (a :: [a]) :: ([a], [a]) where ...
sBreak :: forall a (t :: (~>) a Bool) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply BreakSym0 t) t :: ([a], [a]))
type family SplitAt (a :: Natural) (a :: [a]) :: ([a], [a]) where ...
sSplitAt :: forall a (t :: Natural) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply SplitAtSym0 t) t :: ([a], [a]))
type family NotElem (a :: a) (a :: t a) :: Bool where ...
sNotElem :: forall a t (t :: a) (t :: t a). (SFoldable t, SEq a) => Sing t -> Sing t -> Sing (Apply (Apply NotElemSym0 t) t :: Bool)
type family Lookup (a :: a) (a :: [(a, b)]) :: Maybe b where ...
sLookup :: forall a b (t :: a) (t :: [(a, b)]). SEq a => Sing t -> Sing t -> Sing (Apply (Apply LookupSym0 t) t :: Maybe b)
type family Zip (a :: [a]) (a :: [b]) :: [(a, b)] where ...
sZip :: forall a b (t :: [a]) (t :: [b]). Sing t -> Sing t -> Sing (Apply (Apply ZipSym0 t) t :: [(a, b)])
type family Zip3 (a :: [a]) (a :: [b]) (a :: [c]) :: [(a, b, c)] where ...
sZip3 :: forall a b c (t :: [a]) (t :: [b]) (t :: [c]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Zip3Sym0 t) t) t :: [(a, b, c)])
type family ZipWith (a :: (~>) a ((~>) b c)) (a :: [a]) (a :: [b]) :: [c] where ...
sZipWith :: forall a b c (t :: (~>) a ((~>) b c)) (t :: [a]) (t :: [b]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ZipWithSym0 t) t) t :: [c])
type family ZipWith3 (a :: (~>) a ((~>) b ((~>) c d))) (a :: [a]) (a :: [b]) (a :: [c]) :: [d] where ...
sZipWith3 :: forall a b c d (t :: (~>) a ((~>) b ((~>) c d))) (t :: [a]) (t :: [b]) (t :: [c]). Sing t -> Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply (Apply ZipWith3Sym0 t) t) t) t :: [d])
type family Unzip (a :: [(a, b)]) :: ([a], [b]) where ...
sUnzip :: forall a b (t :: [(a, b)]). Sing t -> Sing (Apply UnzipSym0 t :: ([a], [b]))
type family Unzip3 (a :: [(a, b, c)]) :: ([a], [b], [c]) where ...
sUnzip3 :: forall a b c (t :: [(a, b, c)]). Sing t -> Sing (Apply Unzip3Sym0 t :: ([a], [b], [c]))
type family Unlines (a :: [Symbol]) :: Symbol where ...
sUnlines :: forall (t :: [Symbol]). Sing t -> Sing (Apply UnlinesSym0 t :: Symbol)
type family Unwords (a :: [Symbol]) :: Symbol where ...
sUnwords :: forall (t :: [Symbol]). Sing t -> Sing (Apply UnwordsSym0 t :: Symbol)
type SymbolS = Symbol -> Symbol
show_ :: Show a => a -> String
class PShow a where
- type ShowsPrec (arg :: Natural) (arg :: a) (arg :: Symbol) :: Symbol
- type Show_ (arg :: a) :: Symbol
- type ShowList (arg :: [a]) (arg :: Symbol) :: Symbol
class SShow a where
- sShowsPrec :: forall (t :: Natural) (t :: a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t :: Symbol)
- sShow_ :: forall (t :: a). Sing t -> Sing (Apply Show_Sym0 t :: Symbol)
- sShowList :: forall (t :: [a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t :: Symbol)
type family Shows (a :: a) (a :: Symbol) :: Symbol where ...
sShows :: forall a (t :: a) (t :: Symbol). SShow a => Sing t -> Sing t -> Sing (Apply (Apply ShowsSym0 t) t :: Symbol)
type family ShowChar (a :: Char) (a :: Symbol) :: Symbol where ...
sShowChar :: forall (t :: Char) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowCharSym0 t) t :: Symbol)
type family ShowString (a :: Symbol) (a :: Symbol) :: Symbol where ...
sShowString :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowStringSym0 t) t :: Symbol)
type family ShowParen (a :: Bool) (a :: (~>) Symbol Symbol) (a :: Symbol) :: Symbol where ...
sShowParen :: forall (t :: Bool) (t :: (~>) Symbol Symbol) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowParenSym0 t) t) t :: Symbol)
type family FalseSym0 :: Bool where ...
type family TrueSym0 :: Bool where ...
data IfSym0 :: (~>) Bool ((~>) k ((~>) k k))
data IfSym1 (a6989586621679141394 :: Bool) :: (~>) k ((~>) k k)
data IfSym2 (a6989586621679141394 :: Bool) (a6989586621679141395 :: k) :: (~>) k k
type family IfSym3 (a6989586621679141394 :: Bool) (a6989586621679141395 :: k) (a6989586621679141396 :: k) :: k where ...
data (&&@#@$) :: (~>) Bool ((~>) Bool Bool)
data (&&@#@$$) (a6989586621679140549 :: Bool) :: (~>) Bool Bool
type family (a6989586621679140549 :: Bool) &&@#@$$$ (a6989586621679140550 :: Bool) :: Bool where ...
data (||@#@$) :: (~>) Bool ((~>) Bool Bool)
data (||@#@$$) (a6989586621679140880 :: Bool) :: (~>) Bool Bool
type family (a6989586621679140880 :: Bool) ||@#@$$$ (a6989586621679140881 :: Bool) :: Bool where ...
data NotSym0 :: (~>) Bool Bool
type family NotSym1 (a6989586621679141194 :: Bool) :: Bool where ...
type family OtherwiseSym0 :: Bool where ...
type family NothingSym0 :: Maybe (a :: Type) where ...
data JustSym0 :: (~>) a (Maybe (a :: Type))
type family JustSym1 (a6989586621679042084 :: a) :: Maybe (a :: Type) where ...
data Maybe_Sym0 :: (~>) b ((~>) ((~>) a b) ((~>) (Maybe a) b))
data Maybe_Sym1 (a6989586621679569538 :: b) :: (~>) ((~>) a b) ((~>) (Maybe a) b)
data Maybe_Sym2 (a6989586621679569538 :: b) (a6989586621679569539 :: (~>) a b) :: (~>) (Maybe a) b
type family Maybe_Sym3 (a6989586621679569538 :: b) (a6989586621679569539 :: (~>) a b) (a6989586621679569540 :: Maybe a) :: b where ...
data LeftSym0 :: (~>) a (Either (a :: Type) (b :: Type))
type family LeftSym1 (a6989586621679042156 :: a) :: Either (a :: Type) (b :: Type) where ...
data RightSym0 :: (~>) b (Either (a :: Type) (b :: Type))
type family RightSym1 (a6989586621679042158 :: b) :: Either (a :: Type) (b :: Type) where ...
data Either_Sym0 :: (~>) ((~>) a c) ((~>) ((~>) b c) ((~>) (Either a b) c))
data Either_Sym1 (a6989586621679322752 :: (~>) a c) :: (~>) ((~>) b c) ((~>) (Either a b) c)
data Either_Sym2 (a6989586621679322752 :: (~>) a c) (a6989586621679322753 :: (~>) b c) :: (~>) (Either a b) c
type family Either_Sym3 (a6989586621679322752 :: (~>) a c) (a6989586621679322753 :: (~>) b c) (a6989586621679322754 :: Either a b) :: c where ...
type family LTSym0 :: Ordering where ...
type family EQSym0 :: Ordering where ...
type family GTSym0 :: Ordering where ...
data (:@#@$) :: (~>) a ((~>) [a] [a :: Type])
data (:@#@$$) (a6989586621679042108 :: a) :: (~>) [a] [a :: Type]
type family (a6989586621679042108 :: a) :@#@$$$ (a6989586621679042109 :: [a]) :: [a :: Type] where ...
type family NilSym0 :: [a :: Type] where ...
type family Tuple0Sym0 :: () where ...
data Tuple2Sym0 :: (~>) a ((~>) b (a :: Type, b :: Type))
data Tuple2Sym1 (a6989586621679042597 :: a) :: (~>) b (a :: Type, b :: Type)
type family Tuple2Sym2 (a6989586621679042597 :: a) (a6989586621679042598 :: b) :: (a :: Type, b :: Type) where ...
data Tuple3Sym0 :: (~>) a ((~>) b ((~>) c (a :: Type, b :: Type, c :: Type)))
data Tuple3Sym1 (a6989586621679042628 :: a) :: (~>) b ((~>) c (a :: Type, b :: Type, c :: Type))
data Tuple3Sym2 (a6989586621679042628 :: a) (a6989586621679042629 :: b) :: (~>) c (a :: Type, b :: Type, c :: Type)
type family Tuple3Sym3 (a6989586621679042628 :: a) (a6989586621679042629 :: b) (a6989586621679042630 :: c) :: (a :: Type, b :: Type, c :: Type) where ...
data Tuple4Sym0 :: (~>) a ((~>) b ((~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type))))
data Tuple4Sym1 (a6989586621679042677 :: a) :: (~>) b ((~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type)))
data Tuple4Sym2 (a6989586621679042677 :: a) (a6989586621679042678 :: b) :: (~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type))
data Tuple4Sym3 (a6989586621679042677 :: a) (a6989586621679042678 :: b) (a6989586621679042679 :: c) :: (~>) d (a :: Type, b :: Type, c :: Type, d :: Type)
type family Tuple4Sym4 (a6989586621679042677 :: a) (a6989586621679042678 :: b) (a6989586621679042679 :: c) (a6989586621679042680 :: d) :: (a :: Type, b :: Type, c :: Type, d :: Type) where ...
data Tuple5Sym0 :: (~>) a ((~>) b ((~>) c ((~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type)))))
data Tuple5Sym1 (a6989586621679042746 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type))))
data Tuple5Sym2 (a6989586621679042746 :: a) (a6989586621679042747 :: b) :: (~>) c ((~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type)))
data Tuple5Sym3 (a6989586621679042746 :: a) (a6989586621679042747 :: b) (a6989586621679042748 :: c) :: (~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type))
data Tuple5Sym4 (a6989586621679042746 :: a) (a6989586621679042747 :: b) (a6989586621679042748 :: c) (a6989586621679042749 :: d) :: (~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type)
type family Tuple5Sym5 (a6989586621679042746 :: a) (a6989586621679042747 :: b) (a6989586621679042748 :: c) (a6989586621679042749 :: d) (a6989586621679042750 :: e) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type) where ...
data Tuple6Sym0 :: (~>) a ((~>) b ((~>) c ((~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))))))
data Tuple6Sym1 (a6989586621679042837 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)))))
data Tuple6Sym2 (a6989586621679042837 :: a) (a6989586621679042838 :: b) :: (~>) c ((~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))))
data Tuple6Sym3 (a6989586621679042837 :: a) (a6989586621679042838 :: b) (a6989586621679042839 :: c) :: (~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)))
data Tuple6Sym4 (a6989586621679042837 :: a) (a6989586621679042838 :: b) (a6989586621679042839 :: c) (a6989586621679042840 :: d) :: (~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))
data Tuple6Sym5 (a6989586621679042837 :: a) (a6989586621679042838 :: b) (a6989586621679042839 :: c) (a6989586621679042840 :: d) (a6989586621679042841 :: e) :: (~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)
type family Tuple6Sym6 (a6989586621679042837 :: a) (a6989586621679042838 :: b) (a6989586621679042839 :: c) (a6989586621679042840 :: d) (a6989586621679042841 :: e) (a6989586621679042842 :: f) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type) where ...
data Tuple7Sym0 :: (~>) a ((~>) b ((~>) c ((~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)))))))
data Tuple7Sym1 (a6989586621679042952 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))))))
data Tuple7Sym2 (a6989586621679042952 :: a) (a6989586621679042953 :: b) :: (~>) c ((~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)))))
data Tuple7Sym3 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) :: (~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))))
data Tuple7Sym4 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) (a6989586621679042955 :: d) :: (~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)))
data Tuple7Sym5 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) (a6989586621679042955 :: d) (a6989586621679042956 :: e) :: (~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))
data Tuple7Sym6 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) (a6989586621679042955 :: d) (a6989586621679042956 :: e) (a6989586621679042957 :: f) :: (~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)
type family Tuple7Sym7 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) (a6989586621679042955 :: d) (a6989586621679042956 :: e) (a6989586621679042957 :: f) (a6989586621679042958 :: g) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type) where ...
data FstSym0 :: (~>) (a, b) a
type family FstSym1 (a6989586621679279992 :: (a, b)) :: a where ...
data SndSym0 :: (~>) (a, b) b
type family SndSym1 (a6989586621679279988 :: (a, b)) :: b where ...
data CurrySym0 :: (~>) ((~>) (a, b) c) ((~>) a ((~>) b c))
data CurrySym1 (a6989586621679279980 :: (~>) (a, b) c) :: (~>) a ((~>) b c)
data CurrySym2 (a6989586621679279980 :: (~>) (a, b) c) (a6989586621679279981 :: a) :: (~>) b c
type family CurrySym3 (a6989586621679279980 :: (~>) (a, b) c) (a6989586621679279981 :: a) (a6989586621679279982 :: b) :: c where ...
data UncurrySym0 :: (~>) ((~>) a ((~>) b c)) ((~>) (a, b) c)
data UncurrySym1 (a6989586621679279972 :: (~>) a ((~>) b c)) :: (~>) (a, b) c
type family UncurrySym2 (a6989586621679279972 :: (~>) a ((~>) b c)) (a6989586621679279973 :: (a, b)) :: c where ...
data (==@#@$) :: (~>) a ((~>) a Bool)
data (==@#@$$) (a6989586621679146321 :: a) :: (~>) a Bool
type family (a6989586621679146321 :: a) ==@#@$$$ (a6989586621679146322 :: a) :: Bool where ...
data (/=@#@$) :: (~>) a ((~>) a Bool)
data (/=@#@$$) (a6989586621679146326 :: a) :: (~>) a Bool
type family (a6989586621679146326 :: a) /=@#@$$$ (a6989586621679146327 :: a) :: Bool where ...
data CompareSym0 :: (~>) a ((~>) a Ordering)
data CompareSym1 (a6989586621679185012 :: a) :: (~>) a Ordering
type family CompareSym2 (a6989586621679185012 :: a) (a6989586621679185013 :: a) :: Ordering where ...
data (<@#@$) :: (~>) a ((~>) a Bool)
data (<@#@$$) (a6989586621679185017 :: a) :: (~>) a Bool
type family (a6989586621679185017 :: a) <@#@$$$ (a6989586621679185018 :: a) :: Bool where ...
data (<=@#@$) :: (~>) a ((~>) a Bool)
data (<=@#@$$) (a6989586621679185022 :: a) :: (~>) a Bool
type family (a6989586621679185022 :: a) <=@#@$$$ (a6989586621679185023 :: a) :: Bool where ...
data (>@#@$) :: (~>) a ((~>) a Bool)
data (>@#@$$) (a6989586621679185027 :: a) :: (~>) a Bool
type family (a6989586621679185027 :: a) >@#@$$$ (a6989586621679185028 :: a) :: Bool where ...
data (>=@#@$) :: (~>) a ((~>) a Bool)
data (>=@#@$$) (a6989586621679185032 :: a) :: (~>) a Bool
type family (a6989586621679185032 :: a) >=@#@$$$ (a6989586621679185033 :: a) :: Bool where ...
data MaxSym0 :: (~>) a ((~>) a a)
data MaxSym1 (a6989586621679185037 :: a) :: (~>) a a
type family MaxSym2 (a6989586621679185037 :: a) (a6989586621679185038 :: a) :: a where ...
data MinSym0 :: (~>) a ((~>) a a)
data MinSym1 (a6989586621679185042 :: a) :: (~>) a a
type family MinSym2 (a6989586621679185042 :: a) (a6989586621679185043 :: a) :: a where ...
data ToEnumSym0 :: (~>) Natural a
type family ToEnumSym1 (a6989586621679605385 :: Natural) :: a where ...
data FromEnumSym0 :: (~>) a Natural
type family FromEnumSym1 (a6989586621679605388 :: a) :: Natural where ...
data EnumFromToSym0 :: (~>) a ((~>) a [a])
data EnumFromToSym1 (a6989586621679605392 :: a) :: (~>) a [a]
type family EnumFromToSym2 (a6989586621679605392 :: a) (a6989586621679605393 :: a) :: [a] where ...
data EnumFromThenToSym0 :: (~>) a ((~>) a ((~>) a [a]))
data EnumFromThenToSym1 (a6989586621679605398 :: a) :: (~>) a ((~>) a [a])
data EnumFromThenToSym2 (a6989586621679605398 :: a) (a6989586621679605399 :: a) :: (~>) a [a]
type family EnumFromThenToSym3 (a6989586621679605398 :: a) (a6989586621679605399 :: a) (a6989586621679605400 :: a) :: [a] where ...
type family MinBoundSym0 :: a where ...
type family MaxBoundSym0 :: a where ...
data (+@#@$) :: (~>) a ((~>) a a)
data (+@#@$$) (a6989586621679582928 :: a) :: (~>) a a
type family (a6989586621679582928 :: a) +@#@$$$ (a6989586621679582929 :: a) :: a where ...
data (-@#@$) :: (~>) a ((~>) a a)
data (-@#@$$) (a6989586621679582933 :: a) :: (~>) a a
type family (a6989586621679582933 :: a) -@#@$$$ (a6989586621679582934 :: a) :: a where ...
data (*@#@$) :: (~>) a ((~>) a a)
data (*@#@$$) (a6989586621679582938 :: a) :: (~>) a a
type family (a6989586621679582938 :: a) *@#@$$$ (a6989586621679582939 :: a) :: a where ...
data NegateSym0 :: (~>) a a
type family NegateSym1 (a6989586621679582942 :: a) :: a where ...
data AbsSym0 :: (~>) a a
type family AbsSym1 (a6989586621679582945 :: a) :: a where ...
data SignumSym0 :: (~>) a a
type family SignumSym1 (a6989586621679582948 :: a) :: a where ...
data FromIntegerSym0 :: (~>) Natural a
type family FromIntegerSym1 (a6989586621679582951 :: Natural) :: a where ...
data SubtractSym0 :: (~>) a ((~>) a a)
data SubtractSym1 (a6989586621679582921 :: a) :: (~>) a a
type family SubtractSym2 (a6989586621679582921 :: a) (a6989586621679582922 :: a) :: a where ...
data (<>@#@$) :: (~>) a ((~>) a a)
data (<>@#@$$) (a6989586621679688704 :: a) :: (~>) a a
type family (a6989586621679688704 :: a) <>@#@$$$ (a6989586621679688705 :: a) :: a where ...
type family MemptySym0 :: a where ...
data MappendSym0 :: (~>) a ((~>) a a)
data MappendSym1 (a6989586621680329555 :: a) :: (~>) a a
type family MappendSym2 (a6989586621680329555 :: a) (a6989586621680329556 :: a) :: a where ...
data MconcatSym0 :: (~>) [a] a
type family MconcatSym1 (a6989586621680329559 :: [a]) :: a where ...
data FmapSym0 :: (~>) ((~>) a b) ((~>) (f a) (f b))
data FmapSym1 (a6989586621679337015 :: (~>) a b) :: (~>) (f a) (f b)
type family FmapSym2 (a6989586621679337015 :: (~>) a b) (a6989586621679337016 :: f a) :: f b where ...
data (<$@#@$) :: (~>) a ((~>) (f b) (f a))
data (<$@#@$$) (a6989586621679337020 :: a) :: (~>) (f b) (f a)
type family (a6989586621679337020 :: a) <$@#@$$$ (a6989586621679337021 :: f b) :: f a where ...
data (<$>@#@$) :: (~>) ((~>) a b) ((~>) (f a) (f b))
data (<$>@#@$$) (a6989586621679524018 :: (~>) a b) :: (~>) (f a) (f b)
type family (a6989586621679524018 :: (~>) a b) <$>@#@$$$ (a6989586621679524019 :: f a) :: f b where ...
data PureSym0 :: (~>) a (f a)
type family PureSym1 (a6989586621679337039 :: a) :: f a where ...
data (<*>@#@$) :: (~>) (f ((~>) a b)) ((~>) (f a) (f b))
data (<*>@#@$$) (a6989586621679337043 :: f ((~>) a b)) :: (~>) (f a) (f b)
type family (a6989586621679337043 :: f ((~>) a b)) <*>@#@$$$ (a6989586621679337044 :: f a) :: f b where ...
data (*>@#@$) :: (~>) (f a) ((~>) (f b) (f b))
data (*>@#@$$) (a6989586621679337055 :: f a) :: (~>) (f b) (f b)
type family (a6989586621679337055 :: f a) *>@#@$$$ (a6989586621679337056 :: f b) :: f b where ...
data (<*@#@$) :: (~>) (f a) ((~>) (f b) (f a))
data (<*@#@$$) (a6989586621679337060 :: f a) :: (~>) (f b) (f a)
type family (a6989586621679337060 :: f a) <*@#@$$$ (a6989586621679337061 :: f b) :: f a where ...
data (>>=@#@$) :: (~>) (m a) ((~>) ((~>) a (m b)) (m b))
data (>>=@#@$$) (a6989586621679337123 :: m a) :: (~>) ((~>) a (m b)) (m b)
type family (a6989586621679337123 :: m a) >>=@#@$$$ (a6989586621679337124 :: (~>) a (m b)) :: m b where ...
data (>>@#@$) :: (~>) (m a) ((~>) (m b) (m b))
data (>>@#@$$) (a6989586621679337128 :: m a) :: (~>) (m b) (m b)
type family (a6989586621679337128 :: m a) >>@#@$$$ (a6989586621679337129 :: m b) :: m b where ...
data ReturnSym0 :: (~>) a (m a)
type family ReturnSym1 (a6989586621679337132 :: a) :: m a where ...
data FailSym0 :: (~>) [Char] (m a)
type family FailSym1 (a6989586621679540843 :: [Char]) :: m a where ...
data MapM_Sym0 :: (~>) ((~>) a (m b)) ((~>) (t a) (m ()))
data MapM_Sym1 (a6989586621680427168 :: (~>) a (m b)) :: (~>) (t a) (m ())
type family MapM_Sym2 (a6989586621680427168 :: (~>) a (m b)) (a6989586621680427169 :: t a) :: m () where ...
data Sequence_Sym0 :: (~>) (t (m a)) (m ())
type family Sequence_Sym1 (a6989586621680427144 :: t (m a)) :: m () where ...
data (=<<@#@$) :: (~>) ((~>) a (m b)) ((~>) (m a) (m b))
data (=<<@#@$$) (a6989586621679336968 :: (~>) a (m b)) :: (~>) (m a) (m b)
type family (a6989586621679336968 :: (~>) a (m b)) =<<@#@$$$ (a6989586621679336969 :: m a) :: m b where ...
data ElemSym0 :: (~>) a ((~>) (t a) Bool)
data ElemSym1 (a6989586621680427286 :: a) :: (~>) (t a) Bool
type family ElemSym2 (a6989586621680427286 :: a) (a6989586621680427287 :: t a) :: Bool where ...
data FoldMapSym0 :: (~>) ((~>) a m) ((~>) (t a) m)
data FoldMapSym1 (a6989586621680427234 :: (~>) a m) :: (~>) (t a) m
type family FoldMapSym2 (a6989586621680427234 :: (~>) a m) (a6989586621680427235 :: t a) :: m where ...
data FoldrSym0 :: (~>) ((~>) a ((~>) b b)) ((~>) b ((~>) (t a) b))
data FoldrSym1 (a6989586621680427240 :: (~>) a ((~>) b b)) :: (~>) b ((~>) (t a) b)
data FoldrSym2 (a6989586621680427240 :: (~>) a ((~>) b b)) (a6989586621680427241 :: b) :: (~>) (t a) b
type family FoldrSym3 (a6989586621680427240 :: (~>) a ((~>) b b)) (a6989586621680427241 :: b) (a6989586621680427242 :: t a) :: b where ...
data FoldlSym0 :: (~>) ((~>) b ((~>) a b)) ((~>) b ((~>) (t a) b))
data FoldlSym1 (a6989586621680427254 :: (~>) b ((~>) a b)) :: (~>) b ((~>) (t a) b)
data FoldlSym2 (a6989586621680427254 :: (~>) b ((~>) a b)) (a6989586621680427255 :: b) :: (~>) (t a) b
type family FoldlSym3 (a6989586621680427254 :: (~>) b ((~>) a b)) (a6989586621680427255 :: b) (a6989586621680427256 :: t a) :: b where ...
data Foldr1Sym0 :: (~>) ((~>) a ((~>) a a)) ((~>) (t a) a)
data Foldr1Sym1 (a6989586621680427267 :: (~>) a ((~>) a a)) :: (~>) (t a) a
type family Foldr1Sym2 (a6989586621680427267 :: (~>) a ((~>) a a)) (a6989586621680427268 :: t a) :: a where ...
data Foldl1Sym0 :: (~>) ((~>) a ((~>) a a)) ((~>) (t a) a)
data Foldl1Sym1 (a6989586621680427272 :: (~>) a ((~>) a a)) :: (~>) (t a) a
type family Foldl1Sym2 (a6989586621680427272 :: (~>) a ((~>) a a)) (a6989586621680427273 :: t a) :: a where ...
data MaximumSym0 :: (~>) (t a) a
type family MaximumSym1 (a6989586621680427290 :: t a) :: a where ...
data MinimumSym0 :: (~>) (t a) a
type family MinimumSym1 (a6989586621680427293 :: t a) :: a where ...
data ProductSym0 :: (~>) (t a) a
type family ProductSym1 (a6989586621680427299 :: t a) :: a where ...
data SumSym0 :: (~>) (t a) a
type family SumSym1 (a6989586621680427296 :: t a) :: a where ...
data TraverseSym0 :: (~>) ((~>) a (f b)) ((~>) (t a) (f (t b)))
data TraverseSym1 (a6989586621680777174 :: (~>) a (f b)) :: (~>) (t a) (f (t b))
type family TraverseSym2 (a6989586621680777174 :: (~>) a (f b)) (a6989586621680777175 :: t a) :: f (t b) where ...
data SequenceASym0 :: (~>) (t (f a)) (f (t a))
type family SequenceASym1 (a6989586621680777178 :: t (f a)) :: f (t a) where ...
data MapMSym0 :: (~>) ((~>) a (m b)) ((~>) (t a) (m (t b)))
data MapMSym1 (a6989586621680777182 :: (~>) a (m b)) :: (~>) (t a) (m (t b))
type family MapMSym2 (a6989586621680777182 :: (~>) a (m b)) (a6989586621680777183 :: t a) :: m (t b) where ...
data SequenceSym0 :: (~>) (t (m a)) (m (t a))
type family SequenceSym1 (a6989586621680777186 :: t (m a)) :: m (t a) where ...
data IdSym0 :: (~>) a a
type family IdSym1 (a6989586621679287767 :: a) :: a where ...
data ConstSym0 :: (~>) a ((~>) b a)
data ConstSym1 (a6989586621679287762 :: a) :: (~>) b a
type family ConstSym2 (a6989586621679287762 :: a) (a6989586621679287763 :: b) :: a where ...
data (.@#@$) :: (~>) ((~>) b c) ((~>) ((~>) a b) ((~>) a c))
data (.@#@$$) (a6989586621679287749 :: (~>) b c) :: (~>) ((~>) a b) ((~>) a c)
data (a6989586621679287749 :: (~>) b c) .@#@$$$ (a6989586621679287750 :: (~>) a b) :: (~>) a c
type family ((a6989586621679287749 :: (~>) b c) .@#@$$$$ (a6989586621679287750 :: (~>) a b)) (a6989586621679287751 :: a) :: c where ...
data FlipSym0 :: (~>) ((~>) a ((~>) b c)) ((~>) b ((~>) a c))
data FlipSym1 (a6989586621679287737 :: (~>) a ((~>) b c)) :: (~>) b ((~>) a c)
data FlipSym2 (a6989586621679287737 :: (~>) a ((~>) b c)) (a6989586621679287738 :: b) :: (~>) a c
type family FlipSym3 (a6989586621679287737 :: (~>) a ((~>) b c)) (a6989586621679287738 :: b) (a6989586621679287739 :: a) :: c where ...
data ($@#@$) :: (~>) ((~>) a b) ((~>) a b)
data ($@#@$$) (a6989586621679287718 :: (~>) a b) :: (~>) a b
type family (a6989586621679287718 :: (~>) a b) $@#@$$$ (a6989586621679287719 :: a) :: b where ...
data UntilSym0 :: (~>) ((~>) a Bool) ((~>) ((~>) a a) ((~>) a a))
data UntilSym1 (a6989586621679287691 :: (~>) a Bool) :: (~>) ((~>) a a) ((~>) a a)
data UntilSym2 (a6989586621679287691 :: (~>) a Bool) (a6989586621679287692 :: (~>) a a) :: (~>) a a
type family UntilSym3 (a6989586621679287691 :: (~>) a Bool) (a6989586621679287692 :: (~>) a a) (a6989586621679287693 :: a) :: a where ...
data AsTypeOfSym0 :: (~>) a ((~>) a a)
data AsTypeOfSym1 (a6989586621679287729 :: a) :: (~>) a a
type family AsTypeOfSym2 (a6989586621679287729 :: a) (a6989586621679287730 :: a) :: a where ...
data ErrorSym0 :: (~>) k0 k
type family ErrorSym1 (a6989586621679545715 :: k0) :: k where ...
data ErrorWithoutStackTraceSym0 :: (~>) k0 k
type family ErrorWithoutStackTraceSym1 (a6989586621679545983 :: k0) :: k where ...
type family UndefinedSym0 :: k where ...
data SeqSym0 :: (~>) a ((~>) b b)
data SeqSym1 (a6989586621679287682 :: a) :: (~>) b b
type family SeqSym2 (a6989586621679287682 :: a) (a6989586621679287683 :: b) :: b where ...
data ($!@#@$) :: (~>) ((~>) a b) ((~>) a b)
data ($!@#@$$) (a6989586621679287709 :: (~>) a b) :: (~>) a b
type family (a6989586621679287709 :: (~>) a b) $!@#@$$$ (a6989586621679287710 :: a) :: b where ...
data MapSym0 :: (~>) ((~>) a b) ((~>) [a] [b])
data MapSym1 (a6989586621679287781 :: (~>) a b) :: (~>) [a] [b]
type family MapSym2 (a6989586621679287781 :: (~>) a b) (a6989586621679287782 :: [a]) :: [b] where ...
data (++@#@$) :: (~>) [a] ((~>) [a] [a])
data (++@#@$$) (a6989586621679287772 :: [a]) :: (~>) [a] [a]
type family (a6989586621679287772 :: [a]) ++@#@$$$ (a6989586621679287773 :: [a]) :: [a] where ...
data FilterSym0 :: (~>) ((~>) a Bool) ((~>) [a] [a])
data FilterSym1 (a6989586621679848419 :: (~>) a Bool) :: (~>) [a] [a]
type family FilterSym2 (a6989586621679848419 :: (~>) a Bool) (a6989586621679848420 :: [a]) :: [a] where ...
data HeadSym0 :: (~>) [a] a
type family HeadSym1 (a6989586621679849189 :: [a]) :: a where ...
data LastSym0 :: (~>) [a] a
type family LastSym1 (a6989586621679849183 :: [a]) :: a where ...
data TailSym0 :: (~>) [a] [a]
type family TailSym1 (a6989586621679849179 :: [a]) :: [a] where ...
data InitSym0 :: (~>) [a] [a]
type family InitSym1 (a6989586621679849167 :: [a]) :: [a] where ...
data (!!@#@$) :: (~>) [a] ((~>) Natural a)
data (!!@#@$$) (a6989586621679848027 :: [a]) :: (~>) Natural a
type family (a6989586621679848027 :: [a]) !!@#@$$$ (a6989586621679848028 :: Natural) :: a where ...
data NullSym0 :: (~>) (t a) Bool
type family NullSym1 (a6989586621680427279 :: t a) :: Bool where ...
data LengthSym0 :: (~>) (t a) Natural
type family LengthSym1 (a6989586621680427282 :: t a) :: Natural where ...
data ReverseSym0 :: (~>) [a] [a]
type family ReverseSym1 (a6989586621679849152 :: [a]) :: [a] where ...
data AndSym0 :: (~>) (t Bool) Bool
type family AndSym1 (a6989586621680427105 :: t Bool) :: Bool where ...
data OrSym0 :: (~>) (t Bool) Bool
type family OrSym1 (a6989586621680427099 :: t Bool) :: Bool where ...
data AnySym0 :: (~>) ((~>) a Bool) ((~>) (t a) Bool)
data AnySym1 (a6989586621680427091 :: (~>) a Bool) :: (~>) (t a) Bool
type family AnySym2 (a6989586621680427091 :: (~>) a Bool) (a6989586621680427092 :: t a) :: Bool where ...
data AllSym0 :: (~>) ((~>) a Bool) ((~>) (t a) Bool)
data AllSym1 (a6989586621680427082 :: (~>) a Bool) :: (~>) (t a) Bool
type family AllSym2 (a6989586621680427082 :: (~>) a Bool) (a6989586621680427083 :: t a) :: Bool where ...
data ConcatSym0 :: (~>) (t [a]) [a]
type family ConcatSym1 (a6989586621680427121 :: t [a]) :: [a] where ...
data ConcatMapSym0 :: (~>) ((~>) a [b]) ((~>) (t a) [b])
data ConcatMapSym1 (a6989586621680427110 :: (~>) a [b]) :: (~>) (t a) [b]
type family ConcatMapSym2 (a6989586621680427110 :: (~>) a [b]) (a6989586621680427111 :: t a) :: [b] where ...
data ScanlSym0 :: (~>) ((~>) b ((~>) a b)) ((~>) b ((~>) [a] [b]))
data ScanlSym1 (a6989586621679848957 :: (~>) b ((~>) a b)) :: (~>) b ((~>) [a] [b])
data ScanlSym2 (a6989586621679848957 :: (~>) b ((~>) a b)) (a6989586621679848958 :: b) :: (~>) [a] [b]
type family ScanlSym3 (a6989586621679848957 :: (~>) b ((~>) a b)) (a6989586621679848958 :: b) (a6989586621679848959 :: [a]) :: [b] where ...
data Scanl1Sym0 :: (~>) ((~>) a ((~>) a a)) ((~>) [a] [a])
data Scanl1Sym1 (a6989586621679848948 :: (~>) a ((~>) a a)) :: (~>) [a] [a]
type family Scanl1Sym2 (a6989586621679848948 :: (~>) a ((~>) a a)) (a6989586621679848949 :: [a]) :: [a] where ...
data ScanrSym0 :: (~>) ((~>) a ((~>) b b)) ((~>) b ((~>) [a] [b]))
data ScanrSym1 (a6989586621679848930 :: (~>) a ((~>) b b)) :: (~>) b ((~>) [a] [b])
data ScanrSym2 (a6989586621679848930 :: (~>) a ((~>) b b)) (a6989586621679848931 :: b) :: (~>) [a] [b]
type family ScanrSym3 (a6989586621679848930 :: (~>) a ((~>) b b)) (a6989586621679848931 :: b) (a6989586621679848932 :: [a]) :: [b] where ...
data Scanr1Sym0 :: (~>) ((~>) a ((~>) a a)) ((~>) [a] [a])
data Scanr1Sym1 (a6989586621679848910 :: (~>) a ((~>) a a)) :: (~>) [a] [a]
type family Scanr1Sym2 (a6989586621679848910 :: (~>) a ((~>) a a)) (a6989586621679848911 :: [a]) :: [a] where ...
data ReplicateSym0 :: (~>) Natural ((~>) a [a])
data ReplicateSym1 (a6989586621679848047 :: Natural) :: (~>) a [a]
type family ReplicateSym2 (a6989586621679848047 :: Natural) (a6989586621679848048 :: a) :: [a] where ...
data TakeSym0 :: (~>) Natural ((~>) [a] [a])
data TakeSym1 (a6989586621679848202 :: Natural) :: (~>) [a] [a]
type family TakeSym2 (a6989586621679848202 :: Natural) (a6989586621679848203 :: [a]) :: [a] where ...
data DropSym0 :: (~>) Natural ((~>) [a] [a])
data DropSym1 (a6989586621679848189 :: Natural) :: (~>) [a] [a]
type family DropSym2 (a6989586621679848189 :: Natural) (a6989586621679848190 :: [a]) :: [a] where ...
data TakeWhileSym0 :: (~>) ((~>) a Bool) ((~>) [a] [a])
data TakeWhileSym1 (a6989586621679848319 :: (~>) a Bool) :: (~>) [a] [a]
type family TakeWhileSym2 (a6989586621679848319 :: (~>) a Bool) (a6989586621679848320 :: [a]) :: [a] where ...
data DropWhileSym0 :: (~>) ((~>) a Bool) ((~>) [a] [a])
data DropWhileSym1 (a6989586621679848304 :: (~>) a Bool) :: (~>) [a] [a]
type family DropWhileSym2 (a6989586621679848304 :: (~>) a Bool) (a6989586621679848305 :: [a]) :: [a] where ...
data DropWhileEndSym0 :: (~>) ((~>) a Bool) ((~>) [a] [a])
data DropWhileEndSym1 (a6989586621679848287 :: (~>) a Bool) :: (~>) [a] [a]
type family DropWhileEndSym2 (a6989586621679848287 :: (~>) a Bool) (a6989586621679848288 :: [a]) :: [a] where ...
data SpanSym0 :: (~>) ((~>) a Bool) ((~>) [a] ([a], [a]))
data SpanSym1 (a6989586621679848250 :: (~>) a Bool) :: (~>) [a] ([a], [a])
type family SpanSym2 (a6989586621679848250 :: (~>) a Bool) (a6989586621679848251 :: [a]) :: ([a], [a]) where ...
data BreakSym0 :: (~>) ((~>) a Bool) ((~>) [a] ([a], [a]))
data BreakSym1 (a6989586621679848215 :: (~>) a Bool) :: (~>) [a] ([a], [a])
type family BreakSym2 (a6989586621679848215 :: (~>) a Bool) (a6989586621679848216 :: [a]) :: ([a], [a]) where ...
data SplitAtSym0 :: (~>) Natural ((~>) [a] ([a], [a]))
data SplitAtSym1 (a6989586621679848182 :: Natural) :: (~>) [a] ([a], [a])
type family SplitAtSym2 (a6989586621679848182 :: Natural) (a6989586621679848183 :: [a]) :: ([a], [a]) where ...
data NotElemSym0 :: (~>) a ((~>) (t a) Bool)
data NotElemSym1 (a6989586621680427033 :: a) :: (~>) (t a) Bool
type family NotElemSym2 (a6989586621680427033 :: a) (a6989586621680427034 :: t a) :: Bool where ...
data LookupSym0 :: (~>) a ((~>) [(a, b)] (Maybe b))
data LookupSym1 (a6989586621679848110 :: a) :: (~>) [(a, b)] (Maybe b)
type family LookupSym2 (a6989586621679848110 :: a) (a6989586621679848111 :: [(a, b)]) :: Maybe b where ...
data ZipSym0 :: (~>) [a] ((~>) [b] [(a, b)])
data ZipSym1 (a6989586621679848737 :: [a]) :: (~>) [b] [(a, b)]
type family ZipSym2 (a6989586621679848737 :: [a]) (a6989586621679848738 :: [b]) :: [(a, b)] where ...
data Zip3Sym0 :: (~>) [a] ((~>) [b] ((~>) [c] [(a, b, c)]))
data Zip3Sym1 (a6989586621679848725 :: [a]) :: (~>) [b] ((~>) [c] [(a, b, c)])
data Zip3Sym2 (a6989586621679848725 :: [a]) (a6989586621679848726 :: [b]) :: (~>) [c] [(a, b, c)]
type family Zip3Sym3 (a6989586621679848725 :: [a]) (a6989586621679848726 :: [b]) (a6989586621679848727 :: [c]) :: [(a, b, c)] where ...
data ZipWithSym0 :: (~>) ((~>) a ((~>) b c)) ((~>) [a] ((~>) [b] [c]))
data ZipWithSym1 (a6989586621679848713 :: (~>) a ((~>) b c)) :: (~>) [a] ((~>) [b] [c])
data ZipWithSym2 (a6989586621679848713 :: (~>) a ((~>) b c)) (a6989586621679848714 :: [a]) :: (~>) [b] [c]
type family ZipWithSym3 (a6989586621679848713 :: (~>) a ((~>) b c)) (a6989586621679848714 :: [a]) (a6989586621679848715 :: [b]) :: [c] where ...
data ZipWith3Sym0 :: (~>) ((~>) a ((~>) b ((~>) c d))) ((~>) [a] ((~>) [b] ((~>) [c] [d])))
data ZipWith3Sym1 (a6989586621679848698 :: (~>) a ((~>) b ((~>) c d))) :: (~>) [a] ((~>) [b] ((~>) [c] [d]))
data ZipWith3Sym2 (a6989586621679848698 :: (~>) a ((~>) b ((~>) c d))) (a6989586621679848699 :: [a]) :: (~>) [b] ((~>) [c] [d])
data ZipWith3Sym3 (a6989586621679848698 :: (~>) a ((~>) b ((~>) c d))) (a6989586621679848699 :: [a]) (a6989586621679848700 :: [b]) :: (~>) [c] [d]
data UnzipSym0 :: (~>) [(a, b)] ([a], [b])
type family UnzipSym1 (a6989586621679848679 :: [(a, b)]) :: ([a], [b]) where ...
data Unzip3Sym0 :: (~>) [(a, b, c)] ([a], [b], [c])
type family Unzip3Sym1 (a6989586621679848661 :: [(a, b, c)]) :: ([a], [b], [c]) where ...
data UnlinesSym0 :: (~>) [Symbol] Symbol
type family UnlinesSym1 (a6989586621679848564 :: [Symbol]) :: Symbol where ...
data UnwordsSym0 :: (~>) [Symbol] Symbol
type family UnwordsSym1 (a6989586621679848554 :: [Symbol]) :: Symbol where ...
data ShowsPrecSym0 :: (~>) Natural ((~>) a ((~>) Symbol Symbol))
data ShowsPrecSym1 (a6989586621680243312 :: Natural) :: (~>) a ((~>) Symbol Symbol)
data ShowsPrecSym2 (a6989586621680243312 :: Natural) (a6989586621680243313 :: a) :: (~>) Symbol Symbol
type family ShowsPrecSym3 (a6989586621680243312 :: Natural) (a6989586621680243313 :: a) (a6989586621680243314 :: Symbol) :: Symbol where ...
data ShowListSym0 :: (~>) [a] ((~>) Symbol Symbol)
data ShowListSym1 (a6989586621680243321 :: [a]) :: (~>) Symbol Symbol
type family ShowListSym2 (a6989586621680243321 :: [a]) (a6989586621680243322 :: Symbol) :: Symbol where ...
data Show_Sym0 :: (~>) a Symbol
type family Show_Sym1 (a6989586621680243317 :: a) :: Symbol where ...
data ShowsSym0 :: (~>) a ((~>) Symbol Symbol)
data ShowsSym1 (a6989586621680243304 :: a) :: (~>) Symbol Symbol
type family ShowsSym2 (a6989586621680243304 :: a) (a6989586621680243305 :: Symbol) :: Symbol where ...
data ShowCharSym0 :: (~>) Char ((~>) Symbol Symbol)
data ShowCharSym1 (a6989586621680243278 :: Char) :: (~>) Symbol Symbol
type family ShowCharSym2 (a6989586621680243278 :: Char) (a6989586621680243279 :: Symbol) :: Symbol where ...
data ShowStringSym0 :: (~>) Symbol ((~>) Symbol Symbol)
data ShowStringSym1 (a6989586621680243267 :: Symbol) :: (~>) Symbol Symbol
type family ShowStringSym2 (a6989586621680243267 :: Symbol) (a6989586621680243268 :: Symbol) :: Symbol where ...
data ShowParenSym0 :: (~>) Bool ((~>) ((~>) Symbol Symbol) ((~>) Symbol Symbol))
data ShowParenSym1 (a6989586621680243251 :: Bool) :: (~>) ((~>) Symbol Symbol) ((~>) Symbol Symbol)
data ShowParenSym2 (a6989586621680243251 :: Bool) (a6989586621680243252 :: (~>) Symbol Symbol) :: (~>) Symbol Symbol

Basic singleton definitions

Promoted and singled types, classes, and related functions

Basic data types

data SBool :: Bool -> Type where Source #

Constructors

SFalse :: SBool ('False :: Bool)
STrue :: SBool ('True :: Bool)

Instances

Instances details

TestCoercion SBool Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testCoercion :: forall (a :: k) (b :: k). SBool a -> SBool b -> Maybe (Coercion a b) #
TestEquality SBool Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testEquality :: forall (a :: k) (b :: k). SBool a -> SBool b -> Maybe (a :~: b) #
Show (SBool z) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods showsPrec :: Int -> SBool z -> ShowS # show :: SBool z -> String # showList :: [SBool z] -> ShowS #

type family If (cond :: Bool) (tru :: k) (fls :: k) :: k where ... #

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

Equations

If 'True (tru :: k) (fls :: k) = tru
If 'False (tru :: k) (fls :: k) = fls

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

Conditional over singletons

type family (a :: Bool) && (b :: Bool) :: Bool where ... infixr 3 #

Type-level "and"

Equations

'False && a = 'False
'True && a = a
a && 'False = 'False
a && 'True = a
a && a = a

(%&&) :: Sing a -> Sing b -> Sing (a && b) infixr 3 Source #

Conjunction of singletons

type family (a :: Bool) || (b :: Bool) :: Bool where ... infixr 2 #

Type-level "or"

Equations

'False \|\| a = a
'True \|\| a = 'True
a \|\| 'False = a
a \|\| 'True = 'True
a \|\| a = a

(%||) :: Sing a -> Sing b -> Sing (a || b) infixr 2 Source #

Disjunction of singletons

type family Not (a :: Bool) = (res :: Bool) | res -> a where ... #

Type-level "not". An injective type family since 4.10.0.0.

Since: base-4.7.0.0

Equations

Not 'False = 'True
Not 'True = 'False

sNot :: Sing a -> Sing (Not a) Source #

Negation of a singleton

type family Otherwise :: Bool where ... Source #

Equations

Otherwise = TrueSym0

sOtherwise :: Sing (OtherwiseSym0 :: Bool) Source #

data SMaybe :: forall (a :: Type). Maybe a -> Type where Source #

Constructors

SNothing :: forall (a :: Type). SMaybe ('Nothing :: Maybe (a :: Type))
SJust :: forall (a :: Type) (n :: a). (Sing n) -> SMaybe ('Just n :: Maybe (a :: Type))

Instances

Instances details

SDecide a => TestCoercion (SMaybe :: Maybe a -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testCoercion :: forall (a0 :: k) (b :: k). SMaybe a0 -> SMaybe b -> Maybe (Coercion a0 b) #
SDecide a => TestEquality (SMaybe :: Maybe a -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testEquality :: forall (a0 :: k) (b :: k). SMaybe a0 -> SMaybe b -> Maybe (a0 :~: b) #
ShowSing a => Show (SMaybe z) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods showsPrec :: Int -> SMaybe z -> ShowS # show :: SMaybe z -> String # showList :: [SMaybe z] -> ShowS #

maybe_ is a reimplementation of the maybe function with a different name to avoid clashing with the Maybe data type when promoted.

maybe_ :: b -> (a -> b) -> Maybe a -> b Source #

type family Maybe_ (a :: b) (a :: (~>) a b) (a :: Maybe a) :: b where ... Source #

Equations

Maybe_ n _ 'Nothing = n
Maybe_ _ f ('Just x) = Apply f x

sMaybe_ :: forall b a (t :: b) (t :: (~>) a b) (t :: Maybe a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Maybe_Sym0 t) t) t :: b) Source #

data SEither :: forall (a :: Type) (b :: Type). Either a b -> Type where Source #

Constructors

SLeft :: forall (a :: Type) (b :: Type) (n :: a). (Sing n) -> SEither ('Left n :: Either (a :: Type) (b :: Type))
SRight :: forall (a :: Type) (b :: Type) (n :: b). (Sing n) -> SEither ('Right n :: Either (a :: Type) (b :: Type))

Instances

Instances details

(SDecide a, SDecide b) => TestCoercion (SEither :: Either a b -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testCoercion :: forall (a0 :: k) (b0 :: k). SEither a0 -> SEither b0 -> Maybe (Coercion a0 b0) #
(SDecide a, SDecide b) => TestEquality (SEither :: Either a b -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testEquality :: forall (a0 :: k) (b0 :: k). SEither a0 -> SEither b0 -> Maybe (a0 :~: b0) #
(ShowSing a, ShowSing b) => Show (SEither z) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods showsPrec :: Int -> SEither z -> ShowS # show :: SEither z -> String # showList :: [SEither z] -> ShowS #

either_ is a reimplementation of the either function with a different name to avoid clashing with the Either data type when promoted.

either_ :: (a -> c) -> (b -> c) -> Either a b -> c Source #

type family Either_ (a :: (~>) a c) (a :: (~>) b c) (a :: Either a b) :: c where ... Source #

Equations

Either_ f _ ('Left x) = Apply f x
Either_ _ g ('Right y) = Apply g y

sEither_ :: forall a c b (t :: (~>) a c) (t :: (~>) b c) (t :: Either a b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Either_Sym0 t) t) t :: c) Source #

data SOrdering :: Ordering -> Type where Source #

Constructors

SLT :: SOrdering ('LT :: Ordering)
SEQ :: SOrdering ('EQ :: Ordering)
SGT :: SOrdering ('GT :: Ordering)

Instances

Instances details

TestCoercion SOrdering Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testCoercion :: forall (a :: k) (b :: k). SOrdering a -> SOrdering b -> Maybe (Coercion a b) #
TestEquality SOrdering Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testEquality :: forall (a :: k) (b :: k). SOrdering a -> SOrdering b -> Maybe (a :~: b) #
Show (SOrdering z) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods showsPrec :: Int -> SOrdering z -> ShowS # show :: SOrdering z -> String # showList :: [SOrdering z] -> ShowS #

data SChar (c :: Char) Source #

Instances

Instances details

Show (SChar c) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods showsPrec :: Int -> SChar c -> ShowS # show :: SChar c -> String # showList :: [SChar c] -> ShowS #

data Symbol #

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

Instances

Instances details

IsString Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons Methods fromString :: String -> Symbol #
Monoid Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons Methods mempty :: Symbol # mappend :: Symbol -> Symbol -> Symbol # mconcat :: [Symbol] -> Symbol #
Semigroup Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons Methods (<>) :: Symbol -> Symbol -> Symbol # sconcat :: NonEmpty Symbol -> Symbol # stimes :: Integral b => b -> Symbol -> Symbol #
SingKind Symbol	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Associated Types type DemoteRep Symbol Methods fromSing :: forall (a :: Symbol). Sing a -> DemoteRep Symbol
Show Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons Methods showsPrec :: Int -> Symbol -> ShowS # show :: Symbol -> String # showList :: [Symbol] -> ShowS #
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 GHC.TypeLits.Singletons Methods (==) :: Symbol -> Symbol -> Bool # (/=) :: Symbol -> Symbol -> Bool #
Ord Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons Methods compare :: Symbol -> Symbol -> Ordering # (<) :: Symbol -> Symbol -> Bool # (<=) :: Symbol -> Symbol -> Bool # (>) :: Symbol -> Symbol -> Bool # (>=) :: Symbol -> Symbol -> Bool # max :: Symbol -> Symbol -> Symbol # min :: Symbol -> Symbol -> Symbol #
SingKind PErrorMessage
Instance details Defined in Data.Singletons.Base.TypeError Associated Types type Demote PErrorMessage = (r :: Type) Methods fromSing :: forall (a :: PErrorMessage). Sing a -> Demote PErrorMessage toSing :: Demote PErrorMessage -> SomeSing PErrorMessage
SingKind Symbol
Instance details Defined in GHC.TypeLits.Singletons.Internal Associated Types type Demote Symbol = (r :: Type) Methods fromSing :: forall (a :: Symbol). Sing a -> Demote Symbol toSing :: Demote Symbol -> SomeSing Symbol
SDecide Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods (%~) :: forall (a :: Symbol) (b :: Symbol). Sing a -> Sing b -> Decision (a :~: b) #
PEq Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
SEq Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods (%==) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
PMonoid Symbol Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
SMonoid Symbol Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [Symbol]). Sing t -> Sing (Apply MconcatSym0 t) Source #
POrd Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.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 #
SOrd Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sCompare :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
PSemigroup Symbol Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
SSemigroup Symbol Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty Symbol). Sing t -> Sing (Apply SconcatSym0 t) Source #
PIsString Symbol Source #
Instance details Defined in Data.String.Singletons Associated Types type FromString arg :: a Source #
SIsString Symbol Source #
Instance details Defined in Data.String.Singletons Methods sFromString :: forall (t :: Symbol). Sing t -> Sing (Apply FromStringSym0 t) Source #
PShow Symbol Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
SShow Symbol Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Symbol). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Symbol]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) 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)
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sing :: Sing n
SingI2 ('(:$$:) :: ErrorMessage' Symbol -> ErrorMessage' Symbol -> ErrorMessage' Symbol)
Instance details Defined in Data.Singletons.Base.TypeError Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (x :$$: y)
SingI2 ('(:<>:) :: ErrorMessage' Symbol -> ErrorMessage' Symbol -> ErrorMessage' Symbol)
Instance details Defined in Data.Singletons.Base.TypeError Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (x :<>: y)
SingI1 ('Text :: Symbol -> ErrorMessage' Symbol)
Instance details Defined in Data.Singletons.Base.TypeError Methods liftSing :: forall (x :: k1). Sing x -> Sing ('Text x)
SingI e1 => SingI1 ('(:$$:) e1 :: ErrorMessage' Symbol -> ErrorMessage' Symbol)
Instance details Defined in Data.Singletons.Base.TypeError Methods liftSing :: forall (x :: k1). Sing x -> Sing (e1 :$$: x)
SingI e1 => SingI1 ('(:<>:) e1 :: ErrorMessage' Symbol -> ErrorMessage' Symbol)
Instance details Defined in Data.Singletons.Base.TypeError Methods liftSing :: forall (x :: k1). Sing x -> Sing (e1 :<>: x)
SingI1 ('ShowType :: t -> ErrorMessage' Symbol)
Instance details Defined in Data.Singletons.Base.TypeError Methods liftSing :: forall (x :: k1). Sing x -> Sing ('ShowType x)
SShow a => SingI2 (ShowsPrecSym2 :: Natural -> a -> TyFun Symbol Symbol -> Type)
Instance details Defined in Text.Show.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (ShowsPrecSym2 x y)
SingI t => SingI ('Text t :: ErrorMessage' Symbol)
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing ('Text t)
SingI1 ShowParenSym1
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowParenSym1 x)
SingI1 ShowCharSym1
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowCharSym1 x)
SingI1 ConsSymbolSym1
Instance details Defined in GHC.TypeLits.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ConsSymbolSym1 x)
SingI1 ShowStringSym1
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowStringSym1 x)
SingI1 ((:$$:@#@$$) :: ErrorMessage' Symbol -> TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol) -> Type)
Instance details Defined in Data.Singletons.Base.TypeError Methods liftSing :: forall (x :: k1). Sing x -> Sing ((:$$:@#@$$) x)
SingI1 ((:<>:@#@$$) :: ErrorMessage' Symbol -> TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol) -> Type)
Instance details Defined in Data.Singletons.Base.TypeError Methods liftSing :: forall (x :: k1). Sing x -> Sing ((:<>:@#@$$) x)
SShow a => SingI1 (ShowsPrecSym1 :: Natural -> TyFun a (Symbol ~> Symbol) -> Type)
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowsPrecSym1 x)
SShow a => SingI1 (ShowsSym1 :: a -> TyFun Symbol Symbol -> Type)
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowsSym1 x)
(SShow a, SingI d) => SingI1 (ShowsPrecSym2 d :: a -> TyFun Symbol Symbol -> Type)
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowsPrecSym2 d x)
SingI2 ShowParenSym2
Instance details Defined in Text.Show.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (ShowParenSym2 x y)
(SingI e1, SingI e2) => SingI (e1 :$$: e2 :: ErrorMessage' Symbol)
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing (e1 :$$: e2)
(SingI e1, SingI e2) => SingI (e1 :<>: e2 :: ErrorMessage' Symbol)
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing (e1 :<>: e2)
SingI ty => SingI ('ShowType ty :: ErrorMessage' Symbol)
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing ('ShowType ty)
SShow a => SingI1 (ShowListSym1 :: [a] -> TyFun Symbol Symbol -> Type)
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowListSym1 x)
SingI d => SingI1 (ShowListWithSym2 d :: [a] -> TyFun Symbol Symbol -> Type)
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowListWithSym2 d x)
SingI ShowParenSym0
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowParenSym0
SingI ShowCharSym0
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowCharSym0
SingI ShowStringSym0
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowStringSym0
SingI ShowCommaSpaceSym0
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowCommaSpaceSym0
SingI ShowSpaceSym0
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowSpaceSym0
SingI UnlinesSym0
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing UnlinesSym0
SingI UnwordsSym0
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing UnwordsSym0
SingI ConsSymbolSym0
Instance details Defined in GHC.TypeLits.Singletons Methods sing :: Sing ConsSymbolSym0
SingI UnconsSymbolSym0
Instance details Defined in GHC.TypeLits.Singletons Methods sing :: Sing UnconsSymbolSym0
SuppressUnusedWarnings ShowParenSym0 Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings ConsSymbolSym0 Source #
Instance details Defined in GHC.TypeLits.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings ShowCharSym0 Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings ShowStringSym0 Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings UnconsSymbolSym0 Source #
Instance details Defined in GHC.TypeLits.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings KnownSymbolSym0 Source #
Instance details Defined in GHC.TypeLits.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings ShowCommaSpaceSym0 Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings ShowSpaceSym0 Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings UnlinesSym0 Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings UnwordsSym0 Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
SingI d => SingI (ShowParenSym1 d :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type)
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowParenSym1 d)
SingI (ShowListWithSym0 :: TyFun (a ~> (Symbol ~> Symbol)) ([a] ~> (Symbol ~> Symbol)) -> Type)
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowListWithSym0
SingI ((:$$:@#@$) :: TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol ~> ErrorMessage' Symbol) -> Type)
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing (:$$:@#@$)
SingI ((:<>:@#@$) :: TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol ~> ErrorMessage' Symbol) -> Type)
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing (:<>:@#@$)
SShow a => SingI (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type)
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowsPrecSym0
SingI (TextSym0 :: TyFun Symbol (ErrorMessage' Symbol) -> Type)
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing TextSym0
SingI d => SingI (ShowCharSym1 d :: TyFun Symbol Symbol -> Type)
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowCharSym1 d)
SingI d => SingI (ShowStringSym1 d :: TyFun Symbol Symbol -> Type)
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowStringSym1 d)
SIsString a => SingI (FromStringSym0 :: TyFun Symbol a -> Type)
Instance details Defined in Data.String.Singletons Methods sing :: Sing FromStringSym0
SShow a => SingI (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type)
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowListSym0
SShow a => SingI (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type)
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowsSym0
SShow a => SingI (Show_Sym0 :: TyFun a Symbol -> Type)
Instance details Defined in Text.Show.Singletons Methods sing :: Sing Show_Sym0
SingI (TypeErrorSym0 :: TyFun PErrorMessage a -> Type)
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing TypeErrorSym0
SingI x => SingI (ConsSymbolSym1 x :: TyFun Symbol Symbol -> Type)
Instance details Defined in GHC.TypeLits.Singletons Methods sing :: Sing (ConsSymbolSym1 x)
SuppressUnusedWarnings (ShowParenSym1 a6989586621680243251 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowListWithSym0 :: TyFun (a ~> (Symbol ~> Symbol)) ([a] ~> (Symbol ~> Symbol)) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (TypeErrorSym0 :: TyFun PErrorMessage a -> Type) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ConsSymbolSym1 a6989586621679560776 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in GHC.TypeLits.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowCharSym1 a6989586621680243278 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowStringSym1 a6989586621680243267 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (FromStringSym0 :: TyFun Symbol a -> Type) Source #
Instance details Defined in Data.String.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (Show_Sym0 :: TyFun a Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SingI2 (ShowListWithSym2 :: (a ~> (Symbol ~> Symbol)) -> [a] -> TyFun Symbol Symbol -> Type)
Instance details Defined in Text.Show.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (ShowListWithSym2 x y)
SingI x => SingI ((:$$:@#@$$) x :: TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol) -> Type)
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing ((:$$:@#@$$) x)
SingI x => SingI ((:<>:@#@$$) x :: TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol) -> Type)
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing ((:<>:@#@$$) x)
(SShow a, SingI d) => SingI (ShowListSym1 d :: TyFun Symbol Symbol -> Type)
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowListSym1 d)
(SingI d1, SingI d2) => SingI (ShowParenSym2 d1 d2 :: TyFun Symbol Symbol -> Type)
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowParenSym2 d1 d2)
(SShow a, SingI d) => SingI (ShowsSym1 d :: TyFun Symbol Symbol -> Type)
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowsSym1 d)
SingI (ErrorSym0 :: TyFun Symbol a -> Type)
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sing :: Sing ErrorSym0
SingI (ErrorWithoutStackTraceSym0 :: TyFun Symbol a -> Type)
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sing :: Sing ErrorWithoutStackTraceSym0
SingI d => SingI (ShowListWithSym1 d :: TyFun [a] (Symbol ~> Symbol) -> Type)
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowListWithSym1 d)
(SShow a, SingI d) => SingI (ShowsPrecSym1 d :: TyFun a (Symbol ~> Symbol) -> Type)
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowsPrecSym1 d)
SingI (ShowTypeSym0 :: TyFun t (ErrorMessage' Symbol) -> Type)
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing ShowTypeSym0
SuppressUnusedWarnings (ShowListSym1 a6989586621680243321 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowParenSym2 a6989586621680243251 a6989586621680243252 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowsSym1 a6989586621680243304 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowListWithSym1 a6989586621680243286 :: TyFun [a] (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowsPrecSym1 a6989586621680243312 :: TyFun a (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SingI d => SingI1 (ShowParenSym2 d :: (Symbol ~> Symbol) -> TyFun Symbol Symbol -> Type)
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowParenSym2 d x)
SingI1 (ShowListWithSym1 :: (a ~> (Symbol ~> Symbol)) -> TyFun [a] (Symbol ~> Symbol) -> Type)
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowListWithSym1 x)
(SingI d1, SingI d2) => SingI (ShowListWithSym2 d1 d2 :: TyFun Symbol Symbol -> Type)
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowListWithSym2 d1 d2)
(SShow a, SingI d1, SingI d2) => SingI (ShowsPrecSym2 d1 d2 :: TyFun Symbol Symbol -> Type)
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowsPrecSym2 d1 d2)
SuppressUnusedWarnings (ShowListWithSym2 a6989586621680243286 a6989586621680243287 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowsPrecSym2 a6989586621680243312 a6989586621680243313 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type DemoteRep Symbol
Instance details Defined in GHC.Generics type DemoteRep Symbol = String
data Sing (s :: Symbol)
Instance details Defined in GHC.Generics data Sing (s :: Symbol) where SSym :: forall (s :: Symbol). KnownSymbol s => Sing s
type Demote PErrorMessage
Instance details Defined in Data.Singletons.Base.TypeError type Demote PErrorMessage = ErrorMessage
type Demote Symbol
Instance details Defined in GHC.TypeLits.Singletons.Internal type Demote Symbol = Text
type Sing Source #
Instance details Defined in Data.Singletons.Base.TypeError type Sing = SErrorMessage
type Sing Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Sing = SSymbol
type Mempty Source #
Instance details Defined in Data.Monoid.Singletons type Mempty
type Mconcat (arg :: [Symbol]) Source #
Instance details Defined in Data.Monoid.Singletons type Mconcat (arg :: [Symbol])
type Sconcat (arg :: NonEmpty Symbol) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sconcat (arg :: NonEmpty Symbol)
type FromString a Source #
Instance details Defined in Data.String.Singletons type FromString a = a
type Show_ (arg :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Show_ (arg :: Symbol)
type Compare (a :: Symbol) (b :: Symbol)
Instance details Defined in Data.Type.Ord type Compare (a :: Symbol) (b :: Symbol) = CmpSymbol a b
type (arg1 :: Symbol) /= (arg2 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type (arg1 :: Symbol) /= (arg2 :: Symbol)
type (x :: Symbol) == (y :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type (x :: Symbol) == (y :: Symbol) = DefaultEq x y
type Mappend (arg1 :: Symbol) (arg2 :: Symbol) Source #
Instance details Defined in Data.Monoid.Singletons type Mappend (arg1 :: Symbol) (arg2 :: Symbol)
type (arg1 :: Symbol) < (arg2 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type (arg1 :: Symbol) < (arg2 :: Symbol)
type (arg1 :: Symbol) <= (arg2 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type (arg1 :: Symbol) <= (arg2 :: Symbol)
type (arg1 :: Symbol) > (arg2 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type (arg1 :: Symbol) > (arg2 :: Symbol)
type (arg1 :: Symbol) >= (arg2 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type (arg1 :: Symbol) >= (arg2 :: Symbol)
type Compare (a :: Symbol) (b :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Compare (a :: Symbol) (b :: Symbol) = CmpSymbol a b
type Max (arg1 :: Symbol) (arg2 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Max (arg1 :: Symbol) (arg2 :: Symbol)
type Min (arg1 :: Symbol) (arg2 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Min (arg1 :: Symbol) (arg2 :: Symbol)
type (a :: Symbol) <> (b :: Symbol) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type (a :: Symbol) <> (b :: Symbol) = AppendSymbol a b
type ShowList (arg1 :: [Symbol]) arg2 Source #
Instance details Defined in Text.Show.Singletons type ShowList (arg1 :: [Symbol]) arg2
type Apply KnownSymbolSym0 (a6989586621679557765 :: Symbol)
Instance details Defined in GHC.TypeLits.Singletons type Apply KnownSymbolSym0 (a6989586621679557765 :: Symbol) = KnownSymbol a6989586621679557765
type Apply ShowCommaSpaceSym0 (a6989586621680243233 :: Symbol)
Instance details Defined in Text.Show.Singletons type Apply ShowCommaSpaceSym0 (a6989586621680243233 :: Symbol) = ShowCommaSpace a6989586621680243233
type Apply ShowSpaceSym0 (a6989586621680243239 :: Symbol)
Instance details Defined in Text.Show.Singletons type Apply ShowSpaceSym0 (a6989586621680243239 :: Symbol) = ShowSpace a6989586621680243239
type ShowsPrec _1 (s :: Symbol) x Source #
Instance details Defined in Text.Show.Singletons type ShowsPrec _1 (s :: Symbol) x
type Apply (TypeErrorSym0 :: TyFun PErrorMessage k2 -> Type) (a6989586621679680824 :: PErrorMessage)
Instance details Defined in Data.Singletons.Base.TypeError type Apply (TypeErrorSym0 :: TyFun PErrorMessage k2 -> Type) (a6989586621679680824 :: PErrorMessage) = TypeError a6989586621679680824 :: k2
type Apply (ConsSymbolSym1 a6989586621679560776 :: TyFun Symbol Symbol -> Type) (a6989586621679560777 :: Symbol)
Instance details Defined in GHC.TypeLits.Singletons type Apply (ConsSymbolSym1 a6989586621679560776 :: TyFun Symbol Symbol -> Type) (a6989586621679560777 :: Symbol) = ConsSymbol a6989586621679560776 a6989586621679560777
type Apply (ShowCharSym1 a6989586621680243278 :: TyFun Symbol Symbol -> Type) (a6989586621680243279 :: Symbol)
Instance details Defined in Text.Show.Singletons type Apply (ShowCharSym1 a6989586621680243278 :: TyFun Symbol Symbol -> Type) (a6989586621680243279 :: Symbol) = ShowChar a6989586621680243278 a6989586621680243279
type Apply (ShowStringSym1 a6989586621680243267 :: TyFun Symbol Symbol -> Type) (a6989586621680243268 :: Symbol)
Instance details Defined in Text.Show.Singletons type Apply (ShowStringSym1 a6989586621680243267 :: TyFun Symbol Symbol -> Type) (a6989586621680243268 :: Symbol) = ShowString a6989586621680243267 a6989586621680243268
type Apply (FromStringSym0 :: TyFun Symbol k2 -> Type) (a6989586621681291725 :: Symbol)
Instance details Defined in Data.String.Singletons type Apply (FromStringSym0 :: TyFun Symbol k2 -> Type) (a6989586621681291725 :: Symbol) = FromString a6989586621681291725 :: k2
type Apply (Show_Sym0 :: TyFun a Symbol -> Type) (a6989586621680243317 :: a)
Instance details Defined in Text.Show.Singletons type Apply (Show_Sym0 :: TyFun a Symbol -> Type) (a6989586621680243317 :: a) = Show_ a6989586621680243317
type Apply (ShowListSym1 a6989586621680243321 :: TyFun Symbol Symbol -> Type) (a6989586621680243322 :: Symbol)
Instance details Defined in Text.Show.Singletons type Apply (ShowListSym1 a6989586621680243321 :: TyFun Symbol Symbol -> Type) (a6989586621680243322 :: Symbol) = ShowList a6989586621680243321 a6989586621680243322
type Apply (ShowParenSym2 a6989586621680243251 a6989586621680243252 :: TyFun Symbol Symbol -> Type) (a6989586621680243253 :: Symbol)
Instance details Defined in Text.Show.Singletons type Apply (ShowParenSym2 a6989586621680243251 a6989586621680243252 :: TyFun Symbol Symbol -> Type) (a6989586621680243253 :: Symbol) = ShowParen a6989586621680243251 a6989586621680243252 a6989586621680243253
type Apply (ShowsSym1 a6989586621680243304 :: TyFun Symbol Symbol -> Type) (a6989586621680243305 :: Symbol)
Instance details Defined in Text.Show.Singletons type Apply (ShowsSym1 a6989586621680243304 :: TyFun Symbol Symbol -> Type) (a6989586621680243305 :: Symbol) = Shows a6989586621680243304 a6989586621680243305
type Apply (ShowListWithSym2 a6989586621680243286 a6989586621680243287 :: TyFun Symbol Symbol -> Type) (a6989586621680243288 :: Symbol)
Instance details Defined in Text.Show.Singletons type Apply (ShowListWithSym2 a6989586621680243286 a6989586621680243287 :: TyFun Symbol Symbol -> Type) (a6989586621680243288 :: Symbol) = ShowListWith a6989586621680243286 a6989586621680243287 a6989586621680243288
type Apply (ShowsPrecSym2 a6989586621680243312 a6989586621680243313 :: TyFun Symbol Symbol -> Type) (a6989586621680243314 :: Symbol)
Instance details Defined in Text.Show.Singletons type Apply (ShowsPrecSym2 a6989586621680243312 a6989586621680243313 :: TyFun Symbol Symbol -> Type) (a6989586621680243314 :: Symbol) = ShowsPrec a6989586621680243312 a6989586621680243313 a6989586621680243314
type Apply UnconsSymbolSym0 (a6989586621679561235 :: Symbol)
Instance details Defined in GHC.TypeLits.Singletons type Apply UnconsSymbolSym0 (a6989586621679561235 :: Symbol) = UnconsSymbol a6989586621679561235
type Apply ShowParenSym0 (a6989586621680243251 :: Bool)
Instance details Defined in Text.Show.Singletons type Apply ShowParenSym0 (a6989586621680243251 :: Bool) = ShowParenSym1 a6989586621680243251
type Apply ConsSymbolSym0 (a6989586621679560776 :: Char)
Instance details Defined in GHC.TypeLits.Singletons type Apply ConsSymbolSym0 (a6989586621679560776 :: Char) = ConsSymbolSym1 a6989586621679560776
type Apply ShowCharSym0 (a6989586621680243278 :: Char)
Instance details Defined in Text.Show.Singletons type Apply ShowCharSym0 (a6989586621680243278 :: Char) = ShowCharSym1 a6989586621680243278
type Apply ShowStringSym0 (a6989586621680243267 :: Symbol)
Instance details Defined in Text.Show.Singletons type Apply ShowStringSym0 (a6989586621680243267 :: Symbol) = ShowStringSym1 a6989586621680243267
type Apply (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type) (a6989586621680243312 :: Natural)
Instance details Defined in Text.Show.Singletons type Apply (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type) (a6989586621680243312 :: Natural) = ShowsPrecSym1 a6989586621680243312 :: TyFun a (Symbol ~> Symbol) -> Type
type Apply (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621680243304 :: a)
Instance details Defined in Text.Show.Singletons type Apply (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621680243304 :: a) = ShowsSym1 a6989586621680243304
type Apply (ShowsPrecSym1 a6989586621680243312 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621680243313 :: a)
Instance details Defined in Text.Show.Singletons type Apply (ShowsPrecSym1 a6989586621680243312 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621680243313 :: a) = ShowsPrecSym2 a6989586621680243312 a6989586621680243313
type Apply UnlinesSym0 (a6989586621679848564 :: [Symbol])
Instance details Defined in Data.List.Singletons.Internal type Apply UnlinesSym0 (a6989586621679848564 :: [Symbol]) = Unlines a6989586621679848564
type Apply UnwordsSym0 (a6989586621679848554 :: [Symbol])
Instance details Defined in Data.List.Singletons.Internal type Apply UnwordsSym0 (a6989586621679848554 :: [Symbol]) = Unwords a6989586621679848554
type Apply (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621680243321 :: [a])
Instance details Defined in Text.Show.Singletons type Apply (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621680243321 :: [a]) = ShowListSym1 a6989586621680243321
type Apply (ShowListWithSym1 a6989586621680243286 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621680243287 :: [a])
Instance details Defined in Text.Show.Singletons type Apply (ShowListWithSym1 a6989586621680243286 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621680243287 :: [a]) = ShowListWithSym2 a6989586621680243286 a6989586621680243287
type Apply (ShowParenSym1 a6989586621680243251 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) (a6989586621680243252 :: Symbol ~> Symbol)
Instance details Defined in Text.Show.Singletons type Apply (ShowParenSym1 a6989586621680243251 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) (a6989586621680243252 :: Symbol ~> Symbol) = ShowParenSym2 a6989586621680243251 a6989586621680243252
type Apply (ShowListWithSym0 :: TyFun (a ~> (Symbol ~> Symbol)) ([a] ~> (Symbol ~> Symbol)) -> Type) (a6989586621680243286 :: a ~> (Symbol ~> Symbol))
Instance details Defined in Text.Show.Singletons type Apply (ShowListWithSym0 :: TyFun (a ~> (Symbol ~> Symbol)) ([a] ~> (Symbol ~> Symbol)) -> Type) (a6989586621680243286 :: a ~> (Symbol ~> Symbol)) = ShowListWithSym1 a6989586621680243286

data SList :: forall (a :: Type). [a] -> Type where Source #

Constructors

SNil :: forall (a :: Type). SList ('[] :: [a :: Type])
SCons :: forall (a :: Type) (n :: a) (n :: [a]). (Sing n) -> (Sing n) -> SList ('(:) n n :: [a :: Type]) infixr 5

Instances

Instances details

(SDecide a, SDecide [a]) => TestCoercion (SList :: [a] -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testCoercion :: forall (a0 :: k) (b :: k). SList a0 -> SList b -> Maybe (Coercion a0 b) #
(SDecide a, SDecide [a]) => TestEquality (SList :: [a] -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testEquality :: forall (a0 :: k) (b :: k). SList a0 -> SList b -> Maybe (a0 :~: b) #
(ShowSing a, ShowSing [a]) => Show (SList z) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods showsPrec :: Int -> SList z -> ShowS # show :: SList z -> String # showList :: [SList z] -> ShowS #

Tuples

data STuple0 :: () -> Type where Source #

Constructors

STuple0 :: STuple0 ('() :: ())

Instances

Instances details

TestCoercion STuple0 Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testCoercion :: forall (a :: k) (b :: k). STuple0 a -> STuple0 b -> Maybe (Coercion a b) #
TestEquality STuple0 Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testEquality :: forall (a :: k) (b :: k). STuple0 a -> STuple0 b -> Maybe (a :~: b) #
Show (STuple0 z) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods showsPrec :: Int -> STuple0 z -> ShowS # show :: STuple0 z -> String # showList :: [STuple0 z] -> ShowS #

data STuple2 :: forall (a :: Type) (b :: Type). (a, b) -> Type where Source #

Constructors

STuple2 :: forall (a :: Type) (b :: Type) (n :: a) (n :: b). (Sing n) -> (Sing n) -> STuple2 ('(n, n) :: (a :: Type, b :: Type))

Instances

Instances details

(SDecide a, SDecide b) => TestCoercion (STuple2 :: (a, b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testCoercion :: forall (a0 :: k) (b0 :: k). STuple2 a0 -> STuple2 b0 -> Maybe (Coercion a0 b0) #
(SDecide a, SDecide b) => TestEquality (STuple2 :: (a, b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testEquality :: forall (a0 :: k) (b0 :: k). STuple2 a0 -> STuple2 b0 -> Maybe (a0 :~: b0) #
(ShowSing a, ShowSing b) => Show (STuple2 z) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods showsPrec :: Int -> STuple2 z -> ShowS # show :: STuple2 z -> String # showList :: [STuple2 z] -> ShowS #

data STuple3 :: forall (a :: Type) (b :: Type) (c :: Type). (a, b, c) -> Type where Source #

Constructors

STuple3 :: forall (a :: Type) (b :: Type) (c :: Type) (n :: a) (n :: b) (n :: c). (Sing n) -> (Sing n) -> (Sing n) -> STuple3 ('(n, n, n) :: (a :: Type, b :: Type, c :: Type))

Instances

Instances details

(SDecide a, SDecide b, SDecide c) => TestCoercion (STuple3 :: (a, b, c) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testCoercion :: forall (a0 :: k) (b0 :: k). STuple3 a0 -> STuple3 b0 -> Maybe (Coercion a0 b0) #
(SDecide a, SDecide b, SDecide c) => TestEquality (STuple3 :: (a, b, c) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testEquality :: forall (a0 :: k) (b0 :: k). STuple3 a0 -> STuple3 b0 -> Maybe (a0 :~: b0) #
(ShowSing a, ShowSing b, ShowSing c) => Show (STuple3 z) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods showsPrec :: Int -> STuple3 z -> ShowS # show :: STuple3 z -> String # showList :: [STuple3 z] -> ShowS #

data STuple4 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type). (a, b, c, d) -> Type where Source #

Constructors

STuple4 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (n :: a) (n :: b) (n :: c) (n :: d). (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> STuple4 ('(n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type))

Instances

Instances details

(SDecide a, SDecide b, SDecide c, SDecide d) => TestCoercion (STuple4 :: (a, b, c, d) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testCoercion :: forall (a0 :: k) (b0 :: k). STuple4 a0 -> STuple4 b0 -> Maybe (Coercion a0 b0) #
(SDecide a, SDecide b, SDecide c, SDecide d) => TestEquality (STuple4 :: (a, b, c, d) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testEquality :: forall (a0 :: k) (b0 :: k). STuple4 a0 -> STuple4 b0 -> Maybe (a0 :~: b0) #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d) => Show (STuple4 z) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods showsPrec :: Int -> STuple4 z -> ShowS # show :: STuple4 z -> String # showList :: [STuple4 z] -> ShowS #

data STuple5 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type). (a, b, c, d, e) -> Type where Source #

Constructors

STuple5 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e). (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> STuple5 ('(n, n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type))

Instances

Instances details

(SDecide a, SDecide b, SDecide c, SDecide d, SDecide e) => TestCoercion (STuple5 :: (a, b, c, d, e) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testCoercion :: forall (a0 :: k) (b0 :: k). STuple5 a0 -> STuple5 b0 -> Maybe (Coercion a0 b0) #
(SDecide a, SDecide b, SDecide c, SDecide d, SDecide e) => TestEquality (STuple5 :: (a, b, c, d, e) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testEquality :: forall (a0 :: k) (b0 :: k). STuple5 a0 -> STuple5 b0 -> Maybe (a0 :~: b0) #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e) => Show (STuple5 z) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods showsPrec :: Int -> STuple5 z -> ShowS # show :: STuple5 z -> String # showList :: [STuple5 z] -> ShowS #

data STuple6 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type). (a, b, c, d, e, f) -> Type where Source #

Constructors

STuple6 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e) (n :: f). (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> STuple6 ('(n, n, n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))

Instances

Instances details

(SDecide a, SDecide b, SDecide c, SDecide d, SDecide e, SDecide f) => TestCoercion (STuple6 :: (a, b, c, d, e, f) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testCoercion :: forall (a0 :: k) (b0 :: k). STuple6 a0 -> STuple6 b0 -> Maybe (Coercion a0 b0) #
(SDecide a, SDecide b, SDecide c, SDecide d, SDecide e, SDecide f) => TestEquality (STuple6 :: (a, b, c, d, e, f) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testEquality :: forall (a0 :: k) (b0 :: k). STuple6 a0 -> STuple6 b0 -> Maybe (a0 :~: b0) #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e, ShowSing f) => Show (STuple6 z) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods showsPrec :: Int -> STuple6 z -> ShowS # show :: STuple6 z -> String # showList :: [STuple6 z] -> ShowS #

data STuple7 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type) (g :: Type). (a, b, c, d, e, f, g) -> Type where Source #

Constructors

STuple7 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type) (g :: Type) (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) -> STuple7 ('(n, n, n, n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))

Instances

Instances details

(SDecide a, SDecide b, SDecide c, SDecide d, SDecide e, SDecide f, SDecide g) => TestCoercion (STuple7 :: (a, b, c, d, e, f, g) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testCoercion :: forall (a0 :: k) (b0 :: k). STuple7 a0 -> STuple7 b0 -> Maybe (Coercion a0 b0) #
(SDecide a, SDecide b, SDecide c, SDecide d, SDecide e, SDecide f, SDecide g) => TestEquality (STuple7 :: (a, b, c, d, e, f, g) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testEquality :: forall (a0 :: k) (b0 :: k). STuple7 a0 -> STuple7 b0 -> Maybe (a0 :~: b0) #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e, ShowSing f, ShowSing g) => Show (STuple7 z) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods showsPrec :: Int -> STuple7 z -> ShowS # show :: STuple7 z -> String # showList :: [STuple7 z] -> ShowS #

type family Fst (a :: (a, b)) :: a where ... Source #

Equations

Fst '(x, _) = x

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

type family Snd (a :: (a, b)) :: b where ... Source #

Equations

Snd '(_, y) = y

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

type family Curry (a :: (~>) (a, b) c) (a :: a) (a :: b) :: c where ... Source #

Equations

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

sCurry :: forall a b c (t :: (~>) (a, b) c) (t :: a) (t :: b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply CurrySym0 t) t) t :: c) Source #

type family Uncurry (a :: (~>) a ((~>) b c)) (a :: (a, b)) :: c where ... Source #

Equations

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

sUncurry :: forall a b c (t :: (~>) a ((~>) b c)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply UncurrySym0 t) t :: c) Source #

Basic type classes

class PEq a Source #

Associated Types

type (arg :: a) == (arg :: a) :: Bool infix 4 Source #

type a == a = Apply (Apply TFHelper_6989586621679146341Sym0 a) a

type (arg :: a) /= (arg :: a) :: Bool infix 4 Source #

type a /= a = Apply (Apply TFHelper_6989586621679146330Sym0 a) a

Instances

Instances details

PEq All Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq Any Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq Void Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq Ordering Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq Natural Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq () Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq Bool Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq Char Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (Identity a) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (First a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (Last a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (Down a) Source #
Instance details Defined in Data.Ord.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (First a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (NonEmpty a) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (Maybe a) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (TYPE rep) Source #
Instance details Defined in Data.Singletons.Base.TypeRepTYPE Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq [a] Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (Either a b) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (Arg a b) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (a, b) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (a, b, c) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (a, b, c, d) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (a, b, c, d, e) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (a, b, c, d, e, f) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
PEq (a, b, c, d, e, f, g) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #

class SEq a where Source #

Minimal complete definition

Nothing

Methods

(%==) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t :: Bool) infix 4 Source #

default (%==) :: forall (t :: a) (t :: a). (Apply (Apply (==@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679146341Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t :: Bool) Source #

(%/=) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t :: Bool) infix 4 Source #

default (%/=) :: forall (t :: a) (t :: a). (Apply (Apply (/=@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679146330Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t :: Bool) Source #

Instances

Instances details

SEq Bool => SEq All Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%==) :: forall (t :: All) (t :: All). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: All) (t :: All). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq Bool => SEq Any Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%==) :: forall (t :: Any) (t :: Any). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Any) (t :: Any). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq Void Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t :: Void) (t :: Void). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Void) (t :: Void). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq Ordering Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t :: Ordering) (t :: Ordering). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Ordering) (t :: Ordering). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq Natural Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods (%==) :: forall (t :: Natural) (t :: Natural). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Natural) (t :: Natural). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq () Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t :: ()) (t :: ()). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: ()) (t :: ()). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq Bool Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t :: Bool) (t :: Bool). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Bool) (t :: Bool). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq Char Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods (%==) :: forall (t :: Char) (t :: Char). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Char) (t :: Char). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods (%==) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq a => SEq (Identity a) Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t :: Identity a) (t :: Identity a). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Identity a) (t :: Identity a). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq (Maybe a) => SEq (First a) Source #
Instance details Defined in Data.Monoid.Singletons Methods (%==) :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq (Maybe a) => SEq (Last a) Source #
Instance details Defined in Data.Monoid.Singletons Methods (%==) :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq a => SEq (Down a) Source #
Instance details Defined in Data.Ord.Singletons Methods (%==) :: forall (t :: Down a) (t :: Down a). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Down a) (t :: Down a). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq a => SEq (First a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%==) :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq a => SEq (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%==) :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq a => SEq (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%==) :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq a => SEq (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%==) :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq m => SEq (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%==) :: forall (t :: WrappedMonoid m) (t :: WrappedMonoid m). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: WrappedMonoid m) (t :: WrappedMonoid m). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq a => SEq (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%==) :: forall (t :: Dual a) (t :: Dual a). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Dual a) (t :: Dual a). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq a => SEq (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%==) :: forall (t :: Product a) (t :: Product a). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Product a) (t :: Product a). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq a => SEq (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%==) :: forall (t :: Sum a) (t :: Sum a). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Sum a) (t :: Sum a). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
(SEq a, SEq [a]) => SEq (NonEmpty a) Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t :: NonEmpty a) (t :: NonEmpty a). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: NonEmpty a) (t :: NonEmpty a). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq a => SEq (Maybe a) Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t :: Maybe a) (t :: Maybe a). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Maybe a) (t :: Maybe a). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq (TYPE rep) Source #
Instance details Defined in Data.Singletons.Base.TypeRepTYPE Methods (%==) :: forall (t :: TYPE rep) (t :: TYPE rep). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: TYPE rep) (t :: TYPE rep). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
(SEq a, SEq [a]) => SEq [a] Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
(SEq a, SEq b) => SEq (Either a b) Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t :: Either a b) (t :: Either a b). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Either a b) (t :: Either a b). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Methods (%==) :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq a => SEq (Arg a b) Source #
Instance details Defined in Data.Semigroup.Singletons Methods (%==) :: forall (t :: Arg a b) (t :: Arg a b). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Arg a b) (t :: Arg a b). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
(SEq a, SEq b) => SEq (a, b) Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t :: (a, b)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: (a, b)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
SEq a => SEq (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods (%==) :: forall (t :: Const a b) (t :: Const a b). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Const a b) (t :: Const a b). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
(SEq a, SEq b, SEq c) => SEq (a, b, c) Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t :: (a, b, c)) (t :: (a, b, c)). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: (a, b, c)) (t :: (a, b, c)). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
(SEq a, SEq b, SEq c, SEq d) => SEq (a, b, c, d) Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t :: (a, b, c, d)) (t :: (a, b, c, d)). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: (a, b, c, d)) (t :: (a, b, c, d)). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
(SEq a, SEq b, SEq c, SEq d, SEq e) => SEq (a, b, c, d, e) Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t :: (a, b, c, d, e)) (t :: (a, b, c, d, e)). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: (a, b, c, d, e)) (t :: (a, b, c, d, e)). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
(SEq a, SEq b, SEq c, SEq d, SEq e, SEq f) => SEq (a, b, c, d, e, f) Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t :: (a, b, c, d, e, f)) (t :: (a, b, c, d, e, f)). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: (a, b, c, d, e, f)) (t :: (a, b, c, d, e, f)). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
(SEq a, SEq b, SEq c, SEq d, SEq e, SEq f, SEq g) => SEq (a, b, c, d, e, f, g) Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t :: (a, b, c, d, e, f, g)) (t :: (a, b, c, d, e, f, g)). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: (a, b, c, d, e, f, g)) (t :: (a, b, c, d, e, f, g)). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #

class POrd a Source #

Associated Types

type Compare (arg :: a) (arg :: a) :: Ordering Source #

type Compare a a = Apply (Apply Compare_6989586621679185046Sym0 a) a

type (arg :: a) < (arg :: a) :: Bool infix 4 Source #

type a < a = Apply (Apply TFHelper_6989586621679185067Sym0 a) a

type (arg :: a) <= (arg :: a) :: Bool infix 4 Source #

type a <= a = Apply (Apply TFHelper_6989586621679185083Sym0 a) a

type (arg :: a) > (arg :: a) :: Bool infix 4 Source #

type a > a = Apply (Apply TFHelper_6989586621679185099Sym0 a) a

type (arg :: a) >= (arg :: a) :: Bool infix 4 Source #

type a >= a = Apply (Apply TFHelper_6989586621679185115Sym0 a) a

type Max (arg :: a) (arg :: a) :: a Source #

type Max a a = Apply (Apply Max_6989586621679185131Sym0 a) a

type Min (arg :: a) (arg :: a) :: a Source #

type Min a a = Apply (Apply Min_6989586621679185147Sym0 a) a

Instances

Instances details

POrd All Source #
Instance details Defined in Data.Semigroup.Singletons.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 #
POrd Any Source #
Instance details Defined in Data.Semigroup.Singletons.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 #
POrd Void Source #
Instance details Defined in Data.Ord.Singletons 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 #
POrd Ordering Source #
Instance details Defined in Data.Ord.Singletons 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 #
POrd Natural Source #
Instance details Defined in GHC.TypeLits.Singletons.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 #
POrd () Source #
Instance details Defined in Data.Ord.Singletons 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 #
POrd Bool Source #
Instance details Defined in Data.Ord.Singletons 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 #
POrd Char Source #
Instance details Defined in GHC.TypeLits.Singletons.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 #
POrd Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.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 #
POrd (Identity a) Source #
Instance details Defined in Data.Ord.Singletons 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 #
POrd (First a) Source #
Instance details Defined in Data.Monoid.Singletons 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 #
POrd (Last a) Source #
Instance details Defined in Data.Monoid.Singletons 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 #
POrd (Down a) Source #
Instance details Defined in Data.Ord.Singletons 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 #
POrd (First a) Source #
Instance details Defined in Data.Semigroup.Singletons.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 #
POrd (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons.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 #
POrd (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons.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 #
POrd (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons.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 #
POrd (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons.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 #
POrd (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons.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 #
POrd (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.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 #
POrd (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.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 #
POrd (NonEmpty a) Source #
Instance details Defined in Data.Ord.Singletons 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 #
POrd (Maybe a) Source #
Instance details Defined in Data.Ord.Singletons 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 #
POrd [a] Source #
Instance details Defined in Data.Ord.Singletons 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 #
POrd (Either a b) Source #
Instance details Defined in Data.Ord.Singletons 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 #
POrd (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons 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 #
POrd (Arg a b) Source #
Instance details Defined in Data.Semigroup.Singletons 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 #
POrd (a, b) Source #
Instance details Defined in Data.Ord.Singletons 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 #
POrd (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons 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 #
POrd (a, b, c) Source #
Instance details Defined in Data.Ord.Singletons 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 #
POrd (a, b, c, d) Source #
Instance details Defined in Data.Ord.Singletons 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 #
POrd (a, b, c, d, e) Source #
Instance details Defined in Data.Ord.Singletons 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 #
POrd (a, b, c, d, e, f) Source #
Instance details Defined in Data.Ord.Singletons 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 #
POrd (a, b, c, d, e, f, g) Source #
Instance details Defined in Data.Ord.Singletons 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 #

class SEq a => SOrd a where Source #

Minimal complete definition

Nothing

Methods

sCompare :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t :: Ordering) Source #

default sCompare :: forall (t :: a) (t :: a). (Apply (Apply CompareSym0 t) t :: Ordering) ~ Apply (Apply Compare_6989586621679185046Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t :: Ordering) Source #

(%<) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t :: Bool) infix 4 Source #

default (%<) :: forall (t :: a) (t :: a). (Apply (Apply (<@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679185067Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t :: Bool) Source #

(%<=) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t :: Bool) infix 4 Source #

default (%<=) :: forall (t :: a) (t :: a). (Apply (Apply (<=@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679185083Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t :: Bool) Source #

(%>) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t :: Bool) infix 4 Source #

default (%>) :: forall (t :: a) (t :: a). (Apply (Apply (>@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679185099Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t :: Bool) Source #

(%>=) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t :: Bool) infix 4 Source #

default (%>=) :: forall (t :: a) (t :: a). (Apply (Apply (>=@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679185115Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t :: Bool) Source #

sMax :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t :: a) Source #

default sMax :: forall (t :: a) (t :: a). (Apply (Apply MaxSym0 t) t :: a) ~ Apply (Apply Max_6989586621679185131Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t :: a) Source #

sMin :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t :: a) Source #

default sMin :: forall (t :: a) (t :: a). (Apply (Apply MinSym0 t) t :: a) ~ Apply (Apply Min_6989586621679185147Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t :: a) Source #

Instances

Instances details

SOrd Bool => SOrd All Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sCompare :: forall (t :: All) (t :: All). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: All) (t :: All). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: All) (t :: All). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: All) (t :: All). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: All) (t :: All). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: All) (t :: All). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: All) (t :: All). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd Bool => SOrd Any Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sCompare :: forall (t :: Any) (t :: Any). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Any) (t :: Any). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Any) (t :: Any). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Any) (t :: Any). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Any) (t :: Any). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Any) (t :: Any). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Any) (t :: Any). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd Void Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t :: Void) (t :: Void). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Void) (t :: Void). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Void) (t :: Void). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Void) (t :: Void). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Void) (t :: Void). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Void) (t :: Void). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Void) (t :: Void). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd Ordering Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t :: Ordering) (t :: Ordering). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Ordering) (t :: Ordering). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Ordering) (t :: Ordering). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Ordering) (t :: Ordering). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Ordering) (t :: Ordering). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Ordering) (t :: Ordering). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Ordering) (t :: Ordering). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd Natural Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sCompare :: forall (t :: Natural) (t :: Natural). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Natural) (t :: Natural). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Natural) (t :: Natural). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Natural) (t :: Natural). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Natural) (t :: Natural). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Natural) (t :: Natural). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Natural) (t :: Natural). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd () Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t :: ()) (t :: ()). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: ()) (t :: ()). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: ()) (t :: ()). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: ()) (t :: ()). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: ()) (t :: ()). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: ()) (t :: ()). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: ()) (t :: ()). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd Bool Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t :: Bool) (t :: Bool). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Bool) (t :: Bool). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Bool) (t :: Bool). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Bool) (t :: Bool). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Bool) (t :: Bool). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Bool) (t :: Bool). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Bool) (t :: Bool). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd Char Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sCompare :: forall (t :: Char) (t :: Char). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Char) (t :: Char). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Char) (t :: Char). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Char) (t :: Char). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Char) (t :: Char). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Char) (t :: Char). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Char) (t :: Char). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sCompare :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd a => SOrd (Identity a) Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t :: Identity a) (t :: Identity a). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Identity a) (t :: Identity a). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Identity a) (t :: Identity a). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Identity a) (t :: Identity a). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Identity a) (t :: Identity a). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Identity a) (t :: Identity a). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Identity a) (t :: Identity a). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd (Maybe a) => SOrd (First a) Source #
Instance details Defined in Data.Monoid.Singletons Methods sCompare :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd (Maybe a) => SOrd (Last a) Source #
Instance details Defined in Data.Monoid.Singletons Methods sCompare :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd a => SOrd (Down a) Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t :: Down a) (t :: Down a). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Down a) (t :: Down a). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Down a) (t :: Down a). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Down a) (t :: Down a). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Down a) (t :: Down a). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Down a) (t :: Down a). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Down a) (t :: Down a). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd a => SOrd (First a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sCompare :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd a => SOrd (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sCompare :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd a => SOrd (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sCompare :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd a => SOrd (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sCompare :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd m => SOrd (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sCompare :: forall (t :: WrappedMonoid m) (t :: WrappedMonoid m). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: WrappedMonoid m) (t :: WrappedMonoid m). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: WrappedMonoid m) (t :: WrappedMonoid m). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: WrappedMonoid m) (t :: WrappedMonoid m). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: WrappedMonoid m) (t :: WrappedMonoid m). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: WrappedMonoid m) (t :: WrappedMonoid m). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: WrappedMonoid m) (t :: WrappedMonoid m). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd a => SOrd (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sCompare :: forall (t :: Dual a) (t :: Dual a). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Dual a) (t :: Dual a). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Dual a) (t :: Dual a). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Dual a) (t :: Dual a). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Dual a) (t :: Dual a). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Dual a) (t :: Dual a). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Dual a) (t :: Dual a). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd a => SOrd (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sCompare :: forall (t :: Product a) (t :: Product a). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Product a) (t :: Product a). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Product a) (t :: Product a). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Product a) (t :: Product a). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Product a) (t :: Product a). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Product a) (t :: Product a). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Product a) (t :: Product a). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd a => SOrd (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sCompare :: forall (t :: Sum a) (t :: Sum a). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Sum a) (t :: Sum a). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Sum a) (t :: Sum a). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Sum a) (t :: Sum a). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Sum a) (t :: Sum a). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Sum a) (t :: Sum a). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Sum a) (t :: Sum a). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
(SOrd a, SOrd [a]) => SOrd (NonEmpty a) Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t :: NonEmpty a) (t :: NonEmpty a). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: NonEmpty a) (t :: NonEmpty a). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: NonEmpty a) (t :: NonEmpty a). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: NonEmpty a) (t :: NonEmpty a). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: NonEmpty a) (t :: NonEmpty a). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: NonEmpty a) (t :: NonEmpty a). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: NonEmpty a) (t :: NonEmpty a). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd a => SOrd (Maybe a) Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t :: Maybe a) (t :: Maybe a). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Maybe a) (t :: Maybe a). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Maybe a) (t :: Maybe a). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Maybe a) (t :: Maybe a). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Maybe a) (t :: Maybe a). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Maybe a) (t :: Maybe a). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Maybe a) (t :: Maybe a). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
(SOrd a, SOrd [a]) => SOrd [a] Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
(SOrd a, SOrd b) => SOrd (Either a b) Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t :: Either a b) (t :: Either a b). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Either a b) (t :: Either a b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Either a b) (t :: Either a b). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Either a b) (t :: Either a b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Either a b) (t :: Either a b). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Either a b) (t :: Either a b). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Either a b) (t :: Either a b). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Methods sCompare :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd a => SOrd (Arg a b) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sCompare :: forall (t :: Arg a b) (t :: Arg a b). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Arg a b) (t :: Arg a b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Arg a b) (t :: Arg a b). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Arg a b) (t :: Arg a b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Arg a b) (t :: Arg a b). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Arg a b) (t :: Arg a b). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Arg a b) (t :: Arg a b). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
(SOrd a, SOrd b) => SOrd (a, b) Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t :: (a, b)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: (a, b)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: (a, b)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: (a, b)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: (a, b)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: (a, b)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: (a, b)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
SOrd a => SOrd (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sCompare :: forall (t :: Const a b) (t :: Const a b). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Const a b) (t :: Const a b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Const a b) (t :: Const a b). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Const a b) (t :: Const a b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Const a b) (t :: Const a b). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Const a b) (t :: Const a b). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Const a b) (t :: Const a b). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
(SOrd a, SOrd b, SOrd c) => SOrd (a, b, c) Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t :: (a, b, c)) (t :: (a, b, c)). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: (a, b, c)) (t :: (a, b, c)). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: (a, b, c)) (t :: (a, b, c)). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: (a, b, c)) (t :: (a, b, c)). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: (a, b, c)) (t :: (a, b, c)). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: (a, b, c)) (t :: (a, b, c)). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: (a, b, c)) (t :: (a, b, c)). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
(SOrd a, SOrd b, SOrd c, SOrd d) => SOrd (a, b, c, d) Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t :: (a, b, c, d)) (t :: (a, b, c, d)). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: (a, b, c, d)) (t :: (a, b, c, d)). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: (a, b, c, d)) (t :: (a, b, c, d)). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: (a, b, c, d)) (t :: (a, b, c, d)). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: (a, b, c, d)) (t :: (a, b, c, d)). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: (a, b, c, d)) (t :: (a, b, c, d)). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: (a, b, c, d)) (t :: (a, b, c, d)). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
(SOrd a, SOrd b, SOrd c, SOrd d, SOrd e) => SOrd (a, b, c, d, e) Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t :: (a, b, c, d, e)) (t :: (a, b, c, d, e)). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: (a, b, c, d, e)) (t :: (a, b, c, d, e)). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: (a, b, c, d, e)) (t :: (a, b, c, d, e)). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: (a, b, c, d, e)) (t :: (a, b, c, d, e)). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: (a, b, c, d, e)) (t :: (a, b, c, d, e)). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: (a, b, c, d, e)) (t :: (a, b, c, d, e)). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: (a, b, c, d, e)) (t :: (a, b, c, d, e)). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
(SOrd a, SOrd b, SOrd c, SOrd d, SOrd e, SOrd f) => SOrd (a, b, c, d, e, f) Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t :: (a, b, c, d, e, f)) (t :: (a, b, c, d, e, f)). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: (a, b, c, d, e, f)) (t :: (a, b, c, d, e, f)). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: (a, b, c, d, e, f)) (t :: (a, b, c, d, e, f)). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: (a, b, c, d, e, f)) (t :: (a, b, c, d, e, f)). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: (a, b, c, d, e, f)) (t :: (a, b, c, d, e, f)). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: (a, b, c, d, e, f)) (t :: (a, b, c, d, e, f)). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: (a, b, c, d, e, f)) (t :: (a, b, c, d, e, f)). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
(SOrd a, SOrd b, SOrd c, SOrd d, SOrd e, SOrd f, SOrd g) => SOrd (a, b, c, d, e, f, g) Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t :: (a, b, c, d, e, f, g)) (t :: (a, b, c, d, e, f, g)). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: (a, b, c, d, e, f, g)) (t :: (a, b, c, d, e, f, g)). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: (a, b, c, d, e, f, g)) (t :: (a, b, c, d, e, f, g)). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: (a, b, c, d, e, f, g)) (t :: (a, b, c, d, e, f, g)). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: (a, b, c, d, e, f, g)) (t :: (a, b, c, d, e, f, g)). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: (a, b, c, d, e, f, g)) (t :: (a, b, c, d, e, f, g)). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: (a, b, c, d, e, f, g)) (t :: (a, b, c, d, e, f, g)). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #

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

class PEnum a Source #

Associated Types

type ToEnum (arg :: Natural) :: a Source #

type FromEnum (arg :: a) :: Natural Source #

type EnumFromTo (arg :: a) (arg :: a) :: [a] Source #

type EnumFromTo a a = Apply (Apply EnumFromTo_6989586621679605425Sym0 a) a

type EnumFromThenTo (arg :: a) (arg :: a) (arg :: a) :: [a] Source #

type EnumFromThenTo a a a = Apply (Apply (Apply EnumFromThenTo_6989586621679605437Sym0 a) a) a

Instances

Instances details

PEnum Ordering Source #
Instance details Defined in Data.Singletons.Base.Enum Associated Types type Succ arg :: a Source # type Pred arg :: a Source # type ToEnum arg :: a Source # type FromEnum arg :: Natural Source # type EnumFromTo arg arg :: [a] Source # type EnumFromThenTo arg arg arg :: [a] Source #
PEnum Natural Source #
Instance details Defined in Data.Singletons.Base.Enum Associated Types type Succ arg :: a Source # type Pred arg :: a Source # type ToEnum arg :: a Source # type FromEnum arg :: Natural Source # type EnumFromTo arg arg :: [a] Source # type EnumFromThenTo arg arg arg :: [a] Source #
PEnum () Source #
Instance details Defined in Data.Singletons.Base.Enum Associated Types type Succ arg :: a Source # type Pred arg :: a Source # type ToEnum arg :: a Source # type FromEnum arg :: Natural Source # type EnumFromTo arg arg :: [a] Source # type EnumFromThenTo arg arg arg :: [a] Source #
PEnum Bool Source #
Instance details Defined in Data.Singletons.Base.Enum Associated Types type Succ arg :: a Source # type Pred arg :: a Source # type ToEnum arg :: a Source # type FromEnum arg :: Natural Source # type EnumFromTo arg arg :: [a] Source # type EnumFromThenTo arg arg arg :: [a] Source #
PEnum Char Source #
Instance details Defined in Data.Singletons.Base.Enum Associated Types type Succ arg :: a Source # type Pred arg :: a Source # type ToEnum arg :: a Source # type FromEnum arg :: Natural Source # type EnumFromTo arg arg :: [a] Source # type EnumFromThenTo arg arg arg :: [a] Source #
PEnum (Identity a) Source #
Instance details Defined in Data.Functor.Identity.Singletons Associated Types type Succ arg :: a Source # type Pred arg :: a Source # type ToEnum arg :: a Source # type FromEnum arg :: Natural Source # type EnumFromTo arg arg :: [a] Source # type EnumFromThenTo arg arg arg :: [a] Source #
PEnum (First a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Succ arg :: a Source # type Pred arg :: a Source # type ToEnum arg :: a Source # type FromEnum arg :: Natural Source # type EnumFromTo arg arg :: [a] Source # type EnumFromThenTo arg arg arg :: [a] Source #
PEnum (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Succ arg :: a Source # type Pred arg :: a Source # type ToEnum arg :: a Source # type FromEnum arg :: Natural Source # type EnumFromTo arg arg :: [a] Source # type EnumFromThenTo arg arg arg :: [a] Source #
PEnum (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Succ arg :: a Source # type Pred arg :: a Source # type ToEnum arg :: a Source # type FromEnum arg :: Natural Source # type EnumFromTo arg arg :: [a] Source # type EnumFromThenTo arg arg arg :: [a] Source #
PEnum (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Succ arg :: a Source # type Pred arg :: a Source # type ToEnum arg :: a Source # type FromEnum arg :: Natural Source # type EnumFromTo arg arg :: [a] Source # type EnumFromThenTo arg arg arg :: [a] Source #
PEnum (WrappedMonoid a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Succ arg :: a Source # type Pred arg :: a Source # type ToEnum arg :: a Source # type FromEnum arg :: Natural Source # type EnumFromTo arg arg :: [a] Source # type EnumFromThenTo arg arg arg :: [a] Source #
PEnum (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Associated Types type Succ arg :: a Source # type Pred arg :: a Source # type ToEnum arg :: a Source # type FromEnum arg :: Natural Source # type EnumFromTo arg arg :: [a] Source # type EnumFromThenTo arg arg arg :: [a] Source #
PEnum (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type Succ arg :: a Source # type Pred arg :: a Source # type ToEnum arg :: a Source # type FromEnum arg :: Natural Source # type EnumFromTo arg arg :: [a] Source # type EnumFromThenTo arg arg arg :: [a] Source #

class SEnum a where Source #

Minimal complete definition

sToEnum, sFromEnum

Methods

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

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

sEnumFromTo :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t :: [a]) Source #

default sEnumFromTo :: forall (t :: a) (t :: a). (Apply (Apply EnumFromToSym0 t) t :: [a]) ~ Apply (Apply EnumFromTo_6989586621679605425Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t :: [a]) Source #

sEnumFromThenTo :: forall (t :: a) (t :: a) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t :: [a]) Source #

default sEnumFromThenTo :: forall (t :: a) (t :: a) (t :: a). (Apply (Apply (Apply EnumFromThenToSym0 t) t) t :: [a]) ~ Apply (Apply (Apply EnumFromThenTo_6989586621679605437Sym0 t) t) t => Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t :: [a]) Source #

Instances

Instances details

SEnum Ordering Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sSucc :: forall (t :: Ordering). Sing t -> Sing (Apply SuccSym0 t) Source # sPred :: forall (t :: Ordering). Sing t -> Sing (Apply PredSym0 t) Source # sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t) Source # sFromEnum :: forall (t :: Ordering). Sing t -> Sing (Apply FromEnumSym0 t) Source # sEnumFromTo :: forall (t :: Ordering) (t :: Ordering). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t) Source # sEnumFromThenTo :: forall (t :: Ordering) (t :: Ordering) (t :: Ordering). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t) Source #
SEnum Natural Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sSucc :: forall (t :: Natural). Sing t -> Sing (Apply SuccSym0 t) Source # sPred :: forall (t :: Natural). Sing t -> Sing (Apply PredSym0 t) Source # sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t) Source # sFromEnum :: forall (t :: Natural). Sing t -> Sing (Apply FromEnumSym0 t) Source # sEnumFromTo :: forall (t :: Natural) (t :: Natural). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t) Source # sEnumFromThenTo :: forall (t :: Natural) (t :: Natural) (t :: Natural). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t) Source #
SEnum () Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sSucc :: forall (t :: ()). Sing t -> Sing (Apply SuccSym0 t) Source # sPred :: forall (t :: ()). Sing t -> Sing (Apply PredSym0 t) Source # sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t) Source # sFromEnum :: forall (t :: ()). Sing t -> Sing (Apply FromEnumSym0 t) Source # sEnumFromTo :: forall (t :: ()) (t :: ()). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t) Source # sEnumFromThenTo :: forall (t :: ()) (t :: ()) (t :: ()). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t) Source #
SEnum Bool Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sSucc :: forall (t :: Bool). Sing t -> Sing (Apply SuccSym0 t) Source # sPred :: forall (t :: Bool). Sing t -> Sing (Apply PredSym0 t) Source # sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t) Source # sFromEnum :: forall (t :: Bool). Sing t -> Sing (Apply FromEnumSym0 t) Source # sEnumFromTo :: forall (t :: Bool) (t :: Bool). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t) Source # sEnumFromThenTo :: forall (t :: Bool) (t :: Bool) (t :: Bool). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t) Source #
SEnum Char Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sSucc :: forall (t :: Char). Sing t -> Sing (Apply SuccSym0 t) Source # sPred :: forall (t :: Char). Sing t -> Sing (Apply PredSym0 t) Source # sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t) Source # sFromEnum :: forall (t :: Char). Sing t -> Sing (Apply FromEnumSym0 t) Source # sEnumFromTo :: forall (t :: Char) (t :: Char). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t) Source # sEnumFromThenTo :: forall (t :: Char) (t :: Char) (t :: Char). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t) Source #
SEnum a => SEnum (Identity a) Source #
Instance details Defined in Data.Functor.Identity.Singletons Methods sSucc :: forall (t :: Identity a). Sing t -> Sing (Apply SuccSym0 t) Source # sPred :: forall (t :: Identity a). Sing t -> Sing (Apply PredSym0 t) Source # sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t) Source # sFromEnum :: forall (t :: Identity a). Sing t -> Sing (Apply FromEnumSym0 t) Source # sEnumFromTo :: forall (t :: Identity a) (t :: Identity a). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t) Source # sEnumFromThenTo :: forall (t :: Identity a) (t :: Identity a) (t :: Identity a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t) Source #
SEnum a => SEnum (First a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sSucc :: forall (t :: First a). Sing t -> Sing (Apply SuccSym0 t) Source # sPred :: forall (t :: First a). Sing t -> Sing (Apply PredSym0 t) Source # sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t) Source # sFromEnum :: forall (t :: First a). Sing t -> Sing (Apply FromEnumSym0 t) Source # sEnumFromTo :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t) Source # sEnumFromThenTo :: forall (t :: First a) (t :: First a) (t :: First a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t) Source #
SEnum a => SEnum (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sSucc :: forall (t :: Last a). Sing t -> Sing (Apply SuccSym0 t) Source # sPred :: forall (t :: Last a). Sing t -> Sing (Apply PredSym0 t) Source # sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t) Source # sFromEnum :: forall (t :: Last a). Sing t -> Sing (Apply FromEnumSym0 t) Source # sEnumFromTo :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t) Source # sEnumFromThenTo :: forall (t :: Last a) (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t) Source #
SEnum a => SEnum (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sSucc :: forall (t :: Max a). Sing t -> Sing (Apply SuccSym0 t) Source # sPred :: forall (t :: Max a). Sing t -> Sing (Apply PredSym0 t) Source # sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t) Source # sFromEnum :: forall (t :: Max a). Sing t -> Sing (Apply FromEnumSym0 t) Source # sEnumFromTo :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t) Source # sEnumFromThenTo :: forall (t :: Max a) (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t) Source #
SEnum a => SEnum (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sSucc :: forall (t :: Min a). Sing t -> Sing (Apply SuccSym0 t) Source # sPred :: forall (t :: Min a). Sing t -> Sing (Apply PredSym0 t) Source # sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t) Source # sFromEnum :: forall (t :: Min a). Sing t -> Sing (Apply FromEnumSym0 t) Source # sEnumFromTo :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t) Source # sEnumFromThenTo :: forall (t :: Min a) (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t) Source #
SEnum a => SEnum (WrappedMonoid a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sSucc :: forall (t :: WrappedMonoid a). Sing t -> Sing (Apply SuccSym0 t) Source # sPred :: forall (t :: WrappedMonoid a). Sing t -> Sing (Apply PredSym0 t) Source # sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t) Source # sFromEnum :: forall (t :: WrappedMonoid a). Sing t -> Sing (Apply FromEnumSym0 t) Source # sEnumFromTo :: forall (t :: WrappedMonoid a) (t :: WrappedMonoid a). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t) Source # sEnumFromThenTo :: forall (t :: WrappedMonoid a) (t :: WrappedMonoid a) (t :: WrappedMonoid a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t) Source #
SEnum (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Methods sSucc :: forall (t :: Proxy s). Sing t -> Sing (Apply SuccSym0 t) Source # sPred :: forall (t :: Proxy s). Sing t -> Sing (Apply PredSym0 t) Source # sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t) Source # sFromEnum :: forall (t :: Proxy s). Sing t -> Sing (Apply FromEnumSym0 t) Source # sEnumFromTo :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t) Source # sEnumFromThenTo :: forall (t :: Proxy s) (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t) Source #
SEnum a => SEnum (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sSucc :: forall (t :: Const a b). Sing t -> Sing (Apply SuccSym0 t) Source # sPred :: forall (t :: Const a b). Sing t -> Sing (Apply PredSym0 t) Source # sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t) Source # sFromEnum :: forall (t :: Const a b). Sing t -> Sing (Apply FromEnumSym0 t) Source # sEnumFromTo :: forall (t :: Const a b) (t :: Const a b). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t) Source # sEnumFromThenTo :: forall (t :: Const a b) (t :: Const a b) (t :: Const a b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t) Source #

class PBounded a Source #

Associated Types

type MinBound :: a Source #

type MaxBound :: a Source #

Instances

Instances details

PBounded All Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded Any Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded Ordering Source #
Instance details Defined in Data.Singletons.Base.Enum Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded () Source #
Instance details Defined in Data.Singletons.Base.Enum Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded Bool Source #
Instance details Defined in Data.Singletons.Base.Enum Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded Char Source #
Instance details Defined in Data.Singletons.Base.Enum Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (Identity a) Source #
Instance details Defined in Data.Singletons.Base.Enum Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (First a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (a, b) Source #
Instance details Defined in Data.Singletons.Base.Enum Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (a, b, c) Source #
Instance details Defined in Data.Singletons.Base.Enum Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (a, b, c, d) Source #
Instance details Defined in Data.Singletons.Base.Enum Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (a, b, c, d, e) Source #
Instance details Defined in Data.Singletons.Base.Enum Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (a, b, c, d, e, f) Source #
Instance details Defined in Data.Singletons.Base.Enum Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (a, b, c, d, e, f, g) Source #
Instance details Defined in Data.Singletons.Base.Enum Associated Types type MinBound :: a Source # type MaxBound :: a Source #

class SBounded a where Source #

Methods

sMinBound :: Sing (MinBoundSym0 :: a) Source #

sMaxBound :: Sing (MaxBoundSym0 :: a) Source #

Instances

Instances details

SBounded Bool => SBounded All Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded Bool => SBounded Any Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded Ordering Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded () Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded Bool Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded Char Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Identity a) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (First a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded m => SBounded (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
(SBounded a, SBounded b) => SBounded (a, b) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
(SBounded a, SBounded b, SBounded c) => SBounded (a, b, c) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
(SBounded a, SBounded b, SBounded c, SBounded d) => SBounded (a, b, c, d) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
(SBounded a, SBounded b, SBounded c, SBounded d, SBounded e) => SBounded (a, b, c, d, e) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
(SBounded a, SBounded b, SBounded c, SBounded d, SBounded e, SBounded f) => SBounded (a, b, c, d, e, f) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
(SBounded a, SBounded b, SBounded c, SBounded d, SBounded e, SBounded f, SBounded g) => SBounded (a, b, c, d, e, f, g) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #

Numbers

Numeric type classes

class PNum a Source #

Associated Types

type (arg :: a) + (arg :: a) :: a infixl 6 Source #

type (arg :: a) - (arg :: a) :: a infixl 6 Source #

type a - a = Apply (Apply TFHelper_6989586621679582954Sym0 a) a

type (arg :: a) * (arg :: a) :: a infixl 7 Source #

type Negate (arg :: a) :: a Source #

type Negate a = Apply Negate_6989586621679582964Sym0 a

type Abs (arg :: a) :: a Source #

type Signum (arg :: a) :: a Source #

type FromInteger (arg :: Natural) :: a Source #

Instances

Instances details

PNum Natural Source #
Instance details Defined in GHC.Num.Singletons 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 #
PNum (Identity a) Source #
Instance details Defined in Data.Functor.Identity.Singletons 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 #
PNum (Down a) Source #
Instance details Defined in GHC.Num.Singletons 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 #
PNum (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons 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 #
PNum (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons 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 #
PNum (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal 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 #
PNum (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal 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 #
PNum (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons 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 #

class SNum a where Source #

Minimal complete definition

(%+), (%*), sAbs, sSignum, sFromInteger

Methods

(%+) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t :: a) infixl 6 Source #

(%-) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (-@#@$) t) t :: a) infixl 6 Source #

default (%-) :: forall (t :: a) (t :: a). (Apply (Apply (-@#@$) t) t :: a) ~ Apply (Apply TFHelper_6989586621679582954Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (-@#@$) t) t :: a) Source #

(%*) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (*@#@$) t) t :: a) infixl 7 Source #

sNegate :: forall (t :: a). Sing t -> Sing (Apply NegateSym0 t :: a) Source #

default sNegate :: forall (t :: a). (Apply NegateSym0 t :: a) ~ Apply Negate_6989586621679582964Sym0 t => Sing t -> Sing (Apply NegateSym0 t :: a) Source #

sAbs :: forall (t :: a). Sing t -> Sing (Apply AbsSym0 t :: a) Source #

sSignum :: forall (t :: a). Sing t -> Sing (Apply SignumSym0 t :: a) Source #

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

Instances

Instances details

SNum Natural Source #
Instance details Defined in GHC.Num.Singletons Methods (%+) :: forall (t :: Natural) (t :: Natural). Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t) Source # (%-) :: forall (t :: Natural) (t :: Natural). Sing t -> Sing t -> Sing (Apply (Apply (-@#@$) t) t) Source # (%) :: forall (t :: Natural) (t :: Natural). Sing t -> Sing t -> Sing (Apply (Apply (@#@$) t) t) Source # sNegate :: forall (t :: Natural). Sing t -> Sing (Apply NegateSym0 t) Source # sAbs :: forall (t :: Natural). Sing t -> Sing (Apply AbsSym0 t) Source # sSignum :: forall (t :: Natural). Sing t -> Sing (Apply SignumSym0 t) Source # sFromInteger :: forall (t :: Natural). Sing t -> Sing (Apply FromIntegerSym0 t) Source #
SNum a => SNum (Identity a) Source #
Instance details Defined in Data.Functor.Identity.Singletons Methods (%+) :: forall (t :: Identity a) (t :: Identity a). Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t) Source # (%-) :: forall (t :: Identity a) (t :: Identity a). Sing t -> Sing t -> Sing (Apply (Apply (-@#@$) t) t) Source # (%) :: forall (t :: Identity a) (t :: Identity a). Sing t -> Sing t -> Sing (Apply (Apply (@#@$) t) t) Source # sNegate :: forall (t :: Identity a). Sing t -> Sing (Apply NegateSym0 t) Source # sAbs :: forall (t :: Identity a). Sing t -> Sing (Apply AbsSym0 t) Source # sSignum :: forall (t :: Identity a). Sing t -> Sing (Apply SignumSym0 t) Source # sFromInteger :: forall (t :: Natural). Sing t -> Sing (Apply FromIntegerSym0 t) Source #
SNum a => SNum (Down a) Source #
Instance details Defined in GHC.Num.Singletons Methods (%+) :: forall (t :: Down a) (t :: Down a). Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t) Source # (%-) :: forall (t :: Down a) (t :: Down a). Sing t -> Sing t -> Sing (Apply (Apply (-@#@$) t) t) Source # (%) :: forall (t :: Down a) (t :: Down a). Sing t -> Sing t -> Sing (Apply (Apply (@#@$) t) t) Source # sNegate :: forall (t :: Down a). Sing t -> Sing (Apply NegateSym0 t) Source # sAbs :: forall (t :: Down a). Sing t -> Sing (Apply AbsSym0 t) Source # sSignum :: forall (t :: Down a). Sing t -> Sing (Apply SignumSym0 t) Source # sFromInteger :: forall (t :: Natural). Sing t -> Sing (Apply FromIntegerSym0 t) Source #
SNum a => SNum (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods (%+) :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t) Source # (%-) :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply (-@#@$) t) t) Source # (%) :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply (@#@$) t) t) Source # sNegate :: forall (t :: Max a). Sing t -> Sing (Apply NegateSym0 t) Source # sAbs :: forall (t :: Max a). Sing t -> Sing (Apply AbsSym0 t) Source # sSignum :: forall (t :: Max a). Sing t -> Sing (Apply SignumSym0 t) Source # sFromInteger :: forall (t :: Natural). Sing t -> Sing (Apply FromIntegerSym0 t) Source #
SNum a => SNum (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods (%+) :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t) Source # (%-) :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply (-@#@$) t) t) Source # (%) :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply (@#@$) t) t) Source # sNegate :: forall (t :: Min a). Sing t -> Sing (Apply NegateSym0 t) Source # sAbs :: forall (t :: Min a). Sing t -> Sing (Apply AbsSym0 t) Source # sSignum :: forall (t :: Min a). Sing t -> Sing (Apply SignumSym0 t) Source # sFromInteger :: forall (t :: Natural). Sing t -> Sing (Apply FromIntegerSym0 t) Source #
SNum a => SNum (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%+) :: forall (t :: Product a) (t :: Product a). Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t) Source # (%-) :: forall (t :: Product a) (t :: Product a). Sing t -> Sing t -> Sing (Apply (Apply (-@#@$) t) t) Source # (%) :: forall (t :: Product a) (t :: Product a). Sing t -> Sing t -> Sing (Apply (Apply (@#@$) t) t) Source # sNegate :: forall (t :: Product a). Sing t -> Sing (Apply NegateSym0 t) Source # sAbs :: forall (t :: Product a). Sing t -> Sing (Apply AbsSym0 t) Source # sSignum :: forall (t :: Product a). Sing t -> Sing (Apply SignumSym0 t) Source # sFromInteger :: forall (t :: Natural). Sing t -> Sing (Apply FromIntegerSym0 t) Source #
SNum a => SNum (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%+) :: forall (t :: Sum a) (t :: Sum a). Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t) Source # (%-) :: forall (t :: Sum a) (t :: Sum a). Sing t -> Sing t -> Sing (Apply (Apply (-@#@$) t) t) Source # (%) :: forall (t :: Sum a) (t :: Sum a). Sing t -> Sing t -> Sing (Apply (Apply (@#@$) t) t) Source # sNegate :: forall (t :: Sum a). Sing t -> Sing (Apply NegateSym0 t) Source # sAbs :: forall (t :: Sum a). Sing t -> Sing (Apply AbsSym0 t) Source # sSignum :: forall (t :: Sum a). Sing t -> Sing (Apply SignumSym0 t) Source # sFromInteger :: forall (t :: Natural). Sing t -> Sing (Apply FromIntegerSym0 t) Source #
SNum a => SNum (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods (%+) :: forall (t :: Const a b) (t :: Const a b). Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t) Source # (%-) :: forall (t :: Const a b) (t :: Const a b). Sing t -> Sing t -> Sing (Apply (Apply (-@#@$) t) t) Source # (%) :: forall (t :: Const a b) (t :: Const a b). Sing t -> Sing t -> Sing (Apply (Apply (@#@$) t) t) Source # sNegate :: forall (t :: Const a b). Sing t -> Sing (Apply NegateSym0 t) Source # sAbs :: forall (t :: Const a b). Sing t -> Sing (Apply AbsSym0 t) Source # sSignum :: forall (t :: Const a b). Sing t -> Sing (Apply SignumSym0 t) Source # sFromInteger :: forall (t :: Natural). Sing t -> Sing (Apply FromIntegerSym0 t) Source #

Numeric functions

type family Subtract (a :: a) (a :: a) :: a where ... Source #

Equations

Subtract x y = Apply (Apply (-@#@$) y) x

sSubtract :: forall a (t :: a) (t :: a). SNum a => Sing t -> Sing t -> Sing (Apply (Apply SubtractSym0 t) t :: a) Source #

Semigroups and Monoids

class PSemigroup a Source #

Associated Types

type (arg :: a) <> (arg :: a) :: a infixr 6 Source #

Instances

Instances details

PSemigroup All Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup Any Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup Void Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup Ordering Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup () Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup Symbol Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (Identity a) Source #
Instance details Defined in Data.Functor.Identity.Singletons Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (First a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (Last a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (Down a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (First a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (NonEmpty a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (Maybe a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup [a] Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (Either a b) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (a ~> b) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (a, b) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (a, b, c) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (a, b, c, d) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
PSemigroup (a, b, c, d, e) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #

class SSemigroup a where Source #

Methods

(%<>) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t :: a) infixr 6 Source #

Instances

Instances details

SSemigroup All Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: All) (t :: All). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty All). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup Any Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: Any) (t :: Any). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty Any). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup Void Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: Void) (t :: Void). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty Void). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup Ordering Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: Ordering) (t :: Ordering). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty Ordering). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup () Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: ()) (t :: ()). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty ()). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup Symbol Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty Symbol). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup a => SSemigroup (Identity a) Source #
Instance details Defined in Data.Functor.Identity.Singletons Methods (%<>) :: forall (t :: Identity a) (t :: Identity a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (Identity a)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup (First a) Source #
Instance details Defined in Data.Monoid.Singletons Methods (%<>) :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (First a)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup (Last a) Source #
Instance details Defined in Data.Monoid.Singletons Methods (%<>) :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (Last a)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup a => SSemigroup (Down a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: Down a) (t :: Down a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (Down a)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup (First a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods (%<>) :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (First a)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods (%<>) :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (Last a)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SOrd a => SSemigroup (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods (%<>) :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (Max a)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SOrd a => SSemigroup (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods (%<>) :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (Min a)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SMonoid m => SSemigroup (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons Methods (%<>) :: forall (t :: WrappedMonoid m) (t :: WrappedMonoid m). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (WrappedMonoid m)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup a => SSemigroup (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: Dual a) (t :: Dual a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (Dual a)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SNum a => SSemigroup (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: Product a) (t :: Product a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (Product a)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SNum a => SSemigroup (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: Sum a) (t :: Sum a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (Sum a)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup (NonEmpty a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: NonEmpty a) (t :: NonEmpty a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (NonEmpty a)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup a => SSemigroup (Maybe a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: Maybe a) (t :: Maybe a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (Maybe a)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup [a] Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty [a]). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup (Either a b) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: Either a b) (t :: Either a b). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (Either a b)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Methods (%<>) :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (Proxy s)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup b => SSemigroup (a ~> b) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: a ~> b) (t :: a ~> b). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (a ~> b)). Sing t -> Sing (Apply SconcatSym0 t) Source #
(SSemigroup a, SSemigroup b) => SSemigroup (a, b) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: (a, b)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (a, b)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup a => SSemigroup (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods (%<>) :: forall (t :: Const a b) (t :: Const a b). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (Const a b)). Sing t -> Sing (Apply SconcatSym0 t) Source #
(SSemigroup a, SSemigroup b, SSemigroup c) => SSemigroup (a, b, c) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: (a, b, c)) (t :: (a, b, c)). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (a, b, c)). Sing t -> Sing (Apply SconcatSym0 t) Source #
(SSemigroup a, SSemigroup b, SSemigroup c, SSemigroup d) => SSemigroup (a, b, c, d) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: (a, b, c, d)) (t :: (a, b, c, d)). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (a, b, c, d)). Sing t -> Sing (Apply SconcatSym0 t) Source #
(SSemigroup a, SSemigroup b, SSemigroup c, SSemigroup d, SSemigroup e) => SSemigroup (a, b, c, d, e) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: (a, b, c, d, e)) (t :: (a, b, c, d, e)). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty (a, b, c, d, e)). Sing t -> Sing (Apply SconcatSym0 t) Source #

class PMonoid a Source #

Associated Types

type Mempty :: a Source #

type Mappend (arg :: a) (arg :: a) :: a Source #

type Mappend a a = Apply (Apply Mappend_6989586621680329562Sym0 a) a

type Mconcat (arg :: [a]) :: a Source #

type Mconcat a = Apply Mconcat_6989586621680329576Sym0 a

Instances

Instances details

PMonoid All Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid Any Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid Ordering Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid () Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid Symbol Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid (Identity a) Source #
Instance details Defined in Data.Functor.Identity.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid (First a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid (Last a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid (Down a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid (Dual a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid (Product a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid (Sum a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid (Maybe a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid [a] Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid (a ~> b) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid (a, b) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid (a, b, c) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid (a, b, c, d) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
PMonoid (a, b, c, d, e) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #

class SSemigroup a => SMonoid a where Source #

Minimal complete definition

sMempty

Methods

sMempty :: Sing (MemptySym0 :: a) Source #

sMappend :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t :: a) Source #

default sMappend :: forall (t :: a) (t :: a). (Apply (Apply MappendSym0 t) t :: a) ~ Apply (Apply Mappend_6989586621680329562Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t :: a) Source #

sMconcat :: forall (t :: [a]). Sing t -> Sing (Apply MconcatSym0 t :: a) Source #

default sMconcat :: forall (t :: [a]). (Apply MconcatSym0 t :: a) ~ Apply Mconcat_6989586621680329576Sym0 t => Sing t -> Sing (Apply MconcatSym0 t :: a) Source #

Instances

Instances details

SMonoid All Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: All) (t :: All). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [All]). Sing t -> Sing (Apply MconcatSym0 t) Source #
SMonoid Any Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: Any) (t :: Any). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [Any]). Sing t -> Sing (Apply MconcatSym0 t) Source #
SMonoid Ordering Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: Ordering) (t :: Ordering). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [Ordering]). Sing t -> Sing (Apply MconcatSym0 t) Source #
SMonoid () Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: ()) (t :: ()). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [()]). Sing t -> Sing (Apply MconcatSym0 t) Source #
SMonoid Symbol Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [Symbol]). Sing t -> Sing (Apply MconcatSym0 t) Source #
SMonoid a => SMonoid (Identity a) Source #
Instance details Defined in Data.Functor.Identity.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: Identity a) (t :: Identity a). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [Identity a]). Sing t -> Sing (Apply MconcatSym0 t) Source #
SMonoid (First a) Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [First a]). Sing t -> Sing (Apply MconcatSym0 t) Source #
SMonoid (Last a) Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [Last a]). Sing t -> Sing (Apply MconcatSym0 t) Source #
SMonoid a => SMonoid (Down a) Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: Down a) (t :: Down a). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [Down a]). Sing t -> Sing (Apply MconcatSym0 t) Source #
(SOrd a, SBounded a) => SMonoid (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [Max a]). Sing t -> Sing (Apply MconcatSym0 t) Source #
(SOrd a, SBounded a) => SMonoid (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [Min a]). Sing t -> Sing (Apply MconcatSym0 t) Source #
SMonoid m => SMonoid (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: WrappedMonoid m) (t :: WrappedMonoid m). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [WrappedMonoid m]). Sing t -> Sing (Apply MconcatSym0 t) Source #
SMonoid a => SMonoid (Dual a) Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: Dual a) (t :: Dual a). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [Dual a]). Sing t -> Sing (Apply MconcatSym0 t) Source #
SNum a => SMonoid (Product a) Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: Product a) (t :: Product a). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [Product a]). Sing t -> Sing (Apply MconcatSym0 t) Source #
SNum a => SMonoid (Sum a) Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: Sum a) (t :: Sum a). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [Sum a]). Sing t -> Sing (Apply MconcatSym0 t) Source #
SSemigroup a => SMonoid (Maybe a) Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: Maybe a) (t :: Maybe a). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [Maybe a]). Sing t -> Sing (Apply MconcatSym0 t) Source #
SMonoid [a] Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [[a]]). Sing t -> Sing (Apply MconcatSym0 t) Source #
SMonoid (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [Proxy s]). Sing t -> Sing (Apply MconcatSym0 t) Source #
SMonoid b => SMonoid (a ~> b) Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: a ~> b) (t :: a ~> b). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [a ~> b]). Sing t -> Sing (Apply MconcatSym0 t) Source #
(SMonoid a, SMonoid b) => SMonoid (a, b) Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: (a, b)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [(a, b)]). Sing t -> Sing (Apply MconcatSym0 t) Source #
SMonoid a => SMonoid (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: Const a b) (t :: Const a b). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [Const a b]). Sing t -> Sing (Apply MconcatSym0 t) Source #
(SMonoid a, SMonoid b, SMonoid c) => SMonoid (a, b, c) Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: (a, b, c)) (t :: (a, b, c)). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [(a, b, c)]). Sing t -> Sing (Apply MconcatSym0 t) Source #
(SMonoid a, SMonoid b, SMonoid c, SMonoid d) => SMonoid (a, b, c, d) Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: (a, b, c, d)) (t :: (a, b, c, d)). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [(a, b, c, d)]). Sing t -> Sing (Apply MconcatSym0 t) Source #
(SMonoid a, SMonoid b, SMonoid c, SMonoid d, SMonoid e) => SMonoid (a, b, c, d, e) Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: (a, b, c, d, e)) (t :: (a, b, c, d, e)). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [(a, b, c, d, e)]). Sing t -> Sing (Apply MconcatSym0 t) Source #

Monads and functors

class PFunctor f Source #

Associated Types

type Fmap (arg :: (~>) a b) (arg :: f a) :: f b Source #

type (arg :: a) <$ (arg :: f b) :: f a infixl 4 Source #

type a <$ a = Apply (Apply TFHelper_6989586621679337024Sym0 a) a

Instances

Instances details

PFunctor Identity Source #
Instance details Defined in Data.Functor.Identity.Singletons Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor First Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Last Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Down Source #
Instance details Defined in Data.Functor.Singletons Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor First Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Last Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Max Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Min Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Dual Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Product Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Sum Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor NonEmpty Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Maybe Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor [] Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor (Either a) Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor (Proxy :: Type -> Type) Source #
Instance details Defined in Data.Proxy.Singletons Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor (Arg a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor ((,) a) Source #
Instance details Defined in Data.Functor.Singletons Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor (Const m :: Type -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor (Product f g) Source #
Instance details Defined in Data.Functor.Product.Singletons Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor (Sum f g) Source #
Instance details Defined in Data.Functor.Sum.Singletons Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor (Compose f g) Source #
Instance details Defined in Data.Functor.Compose.Singletons Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #

class SFunctor f where Source #

Minimal complete definition

sFmap

Methods

sFmap :: forall a b (t :: (~>) a b) (t :: f a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t :: f b) Source #

(%<$) :: forall a b (t :: a) (t :: f b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t :: f a) infixl 4 Source #

default (%<$) :: forall a b (t :: a) (t :: f b). (Apply (Apply (<$@#@$) t) t :: f a) ~ Apply (Apply TFHelper_6989586621679337024Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t :: f a) Source #

Instances

Instances details

SFunctor Identity Source #
Instance details Defined in Data.Functor.Identity.Singletons Methods sFmap :: forall a b (t :: a ~> b) (t :: Identity a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a b (t :: a) (t :: Identity b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor First Source #
Instance details Defined in Data.Monoid.Singletons Methods sFmap :: forall a b (t :: a ~> b) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a b (t :: a) (t :: First b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Last Source #
Instance details Defined in Data.Monoid.Singletons Methods sFmap :: forall a b (t :: a ~> b) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a b (t :: a) (t :: Last b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Down Source #
Instance details Defined in Data.Functor.Singletons Methods sFmap :: forall a b (t :: a ~> b) (t :: Down a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a b (t :: a) (t :: Down b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor First Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFmap :: forall a b (t :: a ~> b) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a b (t :: a) (t :: First b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Last Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFmap :: forall a b (t :: a ~> b) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a b (t :: a) (t :: Last b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Max Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFmap :: forall a b (t :: a ~> b) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a b (t :: a) (t :: Max b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Min Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFmap :: forall a b (t :: a ~> b) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a b (t :: a) (t :: Min b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Dual Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sFmap :: forall a b (t :: a ~> b) (t :: Dual a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a b (t :: a) (t :: Dual b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Product Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sFmap :: forall a b (t :: a ~> b) (t :: Product a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a b (t :: a) (t :: Product b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Sum Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sFmap :: forall a b (t :: a ~> b) (t :: Sum a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a b (t :: a) (t :: Sum b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor NonEmpty Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sFmap :: forall a b (t :: a ~> b) (t :: NonEmpty a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a b (t :: a) (t :: NonEmpty b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Maybe Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sFmap :: forall a b (t :: a ~> b) (t :: Maybe a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a b (t :: a) (t :: Maybe b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor [] Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sFmap :: forall a b (t :: a ~> b) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a b (t :: a) (t :: [b]). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor (Either a) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sFmap :: forall a0 b (t :: a0 ~> b) (t :: Either a a0). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a0 b (t :: a0) (t :: Either a b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor (Proxy :: Type -> Type) Source #
Instance details Defined in Data.Proxy.Singletons Methods sFmap :: forall a b (t :: a ~> b) (t :: Proxy a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a b (t :: a) (t :: Proxy b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor (Arg a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFmap :: forall a0 b (t :: a0 ~> b) (t :: Arg a a0). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a0 b (t :: a0) (t :: Arg a b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor ((,) a) Source #
Instance details Defined in Data.Functor.Singletons Methods sFmap :: forall a0 b (t :: a0 ~> b) (t :: (a, a0)). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a0 b (t :: a0) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor (Const m :: Type -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sFmap :: forall a b (t :: a ~> b) (t :: Const m a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a b (t :: a) (t :: Const m b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
(SFunctor f, SFunctor g) => SFunctor (Product f g) Source #
Instance details Defined in Data.Functor.Product.Singletons Methods sFmap :: forall a b (t :: a ~> b) (t :: Product f g a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a b (t :: a) (t :: Product f g b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
(SFunctor f, SFunctor g) => SFunctor (Sum f g) Source #
Instance details Defined in Data.Functor.Sum.Singletons Methods sFmap :: forall a b (t :: a ~> b) (t :: Sum f g a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a b (t :: a) (t :: Sum f g b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
(SFunctor f, SFunctor g) => SFunctor (Compose f g) Source #
Instance details Defined in Data.Functor.Compose.Singletons Methods sFmap :: forall a b (t :: a ~> b) (t :: Compose f g a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: forall a b (t :: a) (t :: Compose f g b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #

type family (a :: (~>) a b) <$> (a :: f a) :: f b where ... infixl 4 Source #

Equations

a_6989586621679524011 <$> a_6989586621679524013 = Apply (Apply FmapSym0 a_6989586621679524011) a_6989586621679524013

(%<$>) :: forall a b f (t :: (~>) a b) (t :: f a). SFunctor f => Sing t -> Sing t -> Sing (Apply (Apply (<$>@#@$) t) t :: f b) infixl 4 Source #

class PApplicative f Source #

Associated Types

type Pure (arg :: a) :: f a Source #

type (arg :: f ((~>) a b)) <*> (arg :: f a) :: f b infixl 4 Source #

type a <*> a = Apply (Apply TFHelper_6989586621679337064Sym0 a) a

type (arg :: f a) *> (arg :: f b) :: f b infixl 4 Source #

type a *> a = Apply (Apply TFHelper_6989586621679337096Sym0 a) a

type (arg :: f a) <* (arg :: f b) :: f a infixl 4 Source #

type a <* a = Apply (Apply TFHelper_6989586621679337107Sym0 a) a

Instances

Instances details

PApplicative Identity Source #
Instance details Defined in Data.Functor.Identity.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #
PApplicative First Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #
PApplicative Last Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #
PApplicative Down Source #
Instance details Defined in Control.Applicative.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #
PApplicative First Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #
PApplicative Last Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #
PApplicative Max Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #
PApplicative Min Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #
PApplicative Dual Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #
PApplicative Product Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #
PApplicative Sum Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #
PApplicative NonEmpty Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #
PApplicative Maybe Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #
PApplicative [] Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #
PApplicative (Either e) Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #
PApplicative (Proxy :: Type -> Type) Source #
Instance details Defined in Data.Proxy.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #
PApplicative ((,) a) Source #
Instance details Defined in Control.Applicative.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #
PApplicative (Const m :: Type -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #
PApplicative (Product f g) Source #
Instance details Defined in Data.Functor.Product.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #
PApplicative (Compose f g) Source #
Instance details Defined in Data.Functor.Compose.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg :: f b Source # type LiftA2 arg arg arg :: f c Source # type arg > arg :: f b Source # type arg <* arg :: f a Source #

class SFunctor f => SApplicative f where Source #

Minimal complete definition

sPure

Methods

sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t :: f a) Source #

(%<*>) :: forall a b (t :: f ((~>) a b)) (t :: f a). Sing t -> Sing t -> Sing (Apply (Apply (<*>@#@$) t) t :: f b) infixl 4 Source #

default (%<*>) :: forall a b (t :: f ((~>) a b)) (t :: f a). (Apply (Apply (<*>@#@$) t) t :: f b) ~ Apply (Apply TFHelper_6989586621679337064Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<*>@#@$) t) t :: f b) Source #

(%*>) :: forall a b (t :: f a) (t :: f b). Sing t -> Sing t -> Sing (Apply (Apply (*>@#@$) t) t :: f b) infixl 4 Source #

default (%*>) :: forall a b (t :: f a) (t :: f b). (Apply (Apply (*>@#@$) t) t :: f b) ~ Apply (Apply TFHelper_6989586621679337096Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (*>@#@$) t) t :: f b) Source #

(%<*) :: forall a b (t :: f a) (t :: f b). Sing t -> Sing t -> Sing (Apply (Apply (<*@#@$) t) t :: f a) infixl 4 Source #

default (%<*) :: forall a b (t :: f a) (t :: f b). (Apply (Apply (<*@#@$) t) t :: f a) ~ Apply (Apply TFHelper_6989586621679337107Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<*@#@$) t) t :: f a) Source #

Instances

Instances details

SApplicative Identity Source #
Instance details Defined in Data.Functor.Identity.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t :: Identity (a ~> b)) (t :: Identity a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: Identity a) (t :: Identity b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a b (t :: Identity a) (t :: Identity b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a b (t :: Identity a) (t :: Identity b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #
SApplicative First Source #
Instance details Defined in Data.Monoid.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t :: First (a ~> b)) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: First a) (t :: First b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a b (t :: First a) (t :: First b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a b (t :: First a) (t :: First b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #
SApplicative Last Source #
Instance details Defined in Data.Monoid.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t :: Last (a ~> b)) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: Last a) (t :: Last b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a b (t :: Last a) (t :: Last b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a b (t :: Last a) (t :: Last b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #
SApplicative Down Source #
Instance details Defined in Control.Applicative.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t :: Down (a ~> b)) (t :: Down a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: Down a) (t :: Down b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a b (t :: Down a) (t :: Down b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a b (t :: Down a) (t :: Down b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #
SApplicative First Source #
Instance details Defined in Data.Semigroup.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t :: First (a ~> b)) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: First a) (t :: First b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a b (t :: First a) (t :: First b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a b (t :: First a) (t :: First b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #
SApplicative Last Source #
Instance details Defined in Data.Semigroup.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t :: Last (a ~> b)) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: Last a) (t :: Last b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a b (t :: Last a) (t :: Last b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a b (t :: Last a) (t :: Last b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #
SApplicative Max Source #
Instance details Defined in Data.Semigroup.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t :: Max (a ~> b)) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: Max a) (t :: Max b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a b (t :: Max a) (t :: Max b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a b (t :: Max a) (t :: Max b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #
SApplicative Min Source #
Instance details Defined in Data.Semigroup.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t :: Min (a ~> b)) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: Min a) (t :: Min b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a b (t :: Min a) (t :: Min b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a b (t :: Min a) (t :: Min b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #
SApplicative Dual Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t :: Dual (a ~> b)) (t :: Dual a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: Dual a) (t :: Dual b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a b (t :: Dual a) (t :: Dual b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a b (t :: Dual a) (t :: Dual b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #
SApplicative Product Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t :: Product (a ~> b)) (t :: Product a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: Product a) (t :: Product b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a b (t :: Product a) (t :: Product b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a b (t :: Product a) (t :: Product b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #
SApplicative Sum Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t :: Sum (a ~> b)) (t :: Sum a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: Sum a) (t :: Sum b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a b (t :: Sum a) (t :: Sum b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a b (t :: Sum a) (t :: Sum b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #
SApplicative NonEmpty Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t :: NonEmpty (a ~> b)) (t :: NonEmpty a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: NonEmpty a) (t :: NonEmpty b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a b (t :: NonEmpty a) (t :: NonEmpty b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a b (t :: NonEmpty a) (t :: NonEmpty b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #
SApplicative Maybe Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t :: Maybe (a ~> b)) (t :: Maybe a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: Maybe a) (t :: Maybe b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a b (t :: Maybe a) (t :: Maybe b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a b (t :: Maybe a) (t :: Maybe b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #
SApplicative [] Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t :: [a ~> b]) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: [a]) (t :: [b]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a b (t :: [a]) (t :: [b]). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a b (t :: [a]) (t :: [b]). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #
SApplicative (Either e) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t :: Either e (a ~> b)) (t :: Either e a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: Either e a) (t :: Either e b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a b (t :: Either e a) (t :: Either e b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a b (t :: Either e a) (t :: Either e b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #
SApplicative (Proxy :: Type -> Type) Source #
Instance details Defined in Data.Proxy.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t :: Proxy (a ~> b)) (t :: Proxy a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: Proxy a) (t :: Proxy b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a b (t :: Proxy a) (t :: Proxy b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a b (t :: Proxy a) (t :: Proxy b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #
SMonoid a => SApplicative ((,) a) Source #
Instance details Defined in Control.Applicative.Singletons Methods sPure :: forall a0 (t :: a0). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a0 b (t :: (a, a0 ~> b)) (t :: (a, a0)). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a0 b c (t :: a0 ~> (b ~> c)) (t :: (a, a0)) (t :: (a, b)). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a0 b (t :: (a, a0)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a0 b (t :: (a, a0)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #
SMonoid m => SApplicative (Const m :: Type -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t :: Const m (a ~> b)) (t :: Const m a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: Const m a) (t :: Const m b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a b (t :: Const m a) (t :: Const m b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a b (t :: Const m a) (t :: Const m b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #
(SApplicative f, SApplicative g) => SApplicative (Product f g) Source #
Instance details Defined in Data.Functor.Product.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t :: Product f g (a ~> b)) (t :: Product f g a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: Product f g a) (t :: Product f g b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a b (t :: Product f g a) (t :: Product f g b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a b (t :: Product f g a) (t :: Product f g b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #
(SApplicative f, SApplicative g) => SApplicative (Compose f g) Source #
Instance details Defined in Data.Functor.Compose.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t :: Compose f g (a ~> b)) (t :: Compose f g a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: Compose f g a) (t :: Compose f g b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) Source # (%>) :: forall a b (t :: Compose f g a) (t :: Compose f g b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%<) :: forall a b (t :: Compose f g a) (t :: Compose f g b). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source #

class PMonad m Source #

Associated Types

type (arg :: m a) >>= (arg :: (~>) a (m b)) :: m b infixl 1 Source #

type (arg :: m a) >> (arg :: m b) :: m b infixl 1 Source #

type a >> a = Apply (Apply TFHelper_6989586621679337135Sym0 a) a

type Return (arg :: a) :: m a Source #

type Return a = Apply Return_6989586621679337152Sym0 a

Instances

Instances details

PMonad Identity Source #
Instance details Defined in Data.Functor.Identity.Singletons Associated Types type arg >>= arg :: m b Source # type arg >> arg :: m b Source # type Return arg :: m a Source #
PMonad First Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type arg >>= arg :: m b Source # type arg >> arg :: m b Source # type Return arg :: m a Source #
PMonad Last Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type arg >>= arg :: m b Source # type arg >> arg :: m b Source # type Return arg :: m a Source #
PMonad Down Source #
Instance details Defined in Control.Monad.Singletons Associated Types type arg >>= arg :: m b Source # type arg >> arg :: m b Source # type Return arg :: m a Source #
PMonad First Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg >>= arg :: m b Source # type arg >> arg :: m b Source # type Return arg :: m a Source #
PMonad Last Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg >>= arg :: m b Source # type arg >> arg :: m b Source # type Return arg :: m a Source #
PMonad Max Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg >>= arg :: m b Source # type arg >> arg :: m b Source # type Return arg :: m a Source #
PMonad Min Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg >>= arg :: m b Source # type arg >> arg :: m b Source # type Return arg :: m a Source #
PMonad Dual Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg >>= arg :: m b Source # type arg >> arg :: m b Source # type Return arg :: m a Source #
PMonad Product Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg >>= arg :: m b Source # type arg >> arg :: m b Source # type Return arg :: m a Source #
PMonad Sum Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg >>= arg :: m b Source # type arg >> arg :: m b Source # type Return arg :: m a Source #
PMonad NonEmpty Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type arg >>= arg :: m b Source # type arg >> arg :: m b Source # type Return arg :: m a Source #
PMonad Maybe Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type arg >>= arg :: m b Source # type arg >> arg :: m b Source # type Return arg :: m a Source #
PMonad [] Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type arg >>= arg :: m b Source # type arg >> arg :: m b Source # type Return arg :: m a Source #
PMonad (Either e) Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type arg >>= arg :: m b Source # type arg >> arg :: m b Source # type Return arg :: m a Source #
PMonad (Proxy :: Type -> Type) Source #
Instance details Defined in Data.Proxy.Singletons Associated Types type arg >>= arg :: m b Source # type arg >> arg :: m b Source # type Return arg :: m a Source #
PMonad ((,) a) Source #
Instance details Defined in Control.Monad.Singletons Associated Types type arg >>= arg :: m b Source # type arg >> arg :: m b Source # type Return arg :: m a Source #
PMonad (Product f g) Source #
Instance details Defined in Data.Functor.Product.Singletons Associated Types type arg >>= arg :: m b Source # type arg >> arg :: m b Source # type Return arg :: m a Source #

class SApplicative m => SMonad m where Source #

Minimal complete definition

(%>>=)

Methods

(%>>=) :: forall a b (t :: m a) (t :: (~>) a (m b)). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t :: m b) infixl 1 Source #

(%>>) :: forall a b (t :: m a) (t :: m b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t :: m b) infixl 1 Source #

default (%>>) :: forall a b (t :: m a) (t :: m b). (Apply (Apply (>>@#@$) t) t :: m b) ~ Apply (Apply TFHelper_6989586621679337135Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t :: m b) Source #

sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t :: m a) Source #

default sReturn :: forall a (t :: a). (Apply ReturnSym0 t :: m a) ~ Apply Return_6989586621679337152Sym0 t => Sing t -> Sing (Apply ReturnSym0 t :: m a) Source #

Instances

Instances details

SMonad Identity Source #
Instance details Defined in Data.Functor.Identity.Singletons Methods (%>>=) :: forall a b (t :: Identity a) (t :: a ~> Identity b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) Source # (%>>) :: forall a b (t :: Identity a) (t :: Identity b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonad First Source #
Instance details Defined in Data.Monoid.Singletons Methods (%>>=) :: forall a b (t :: First a) (t :: a ~> First b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) Source # (%>>) :: forall a b (t :: First a) (t :: First b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonad Last Source #
Instance details Defined in Data.Monoid.Singletons Methods (%>>=) :: forall a b (t :: Last a) (t :: a ~> Last b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) Source # (%>>) :: forall a b (t :: Last a) (t :: Last b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonad Down Source #
Instance details Defined in Control.Monad.Singletons Methods (%>>=) :: forall a b (t :: Down a) (t :: a ~> Down b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) Source # (%>>) :: forall a b (t :: Down a) (t :: Down b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonad First Source #
Instance details Defined in Data.Semigroup.Singletons Methods (%>>=) :: forall a b (t :: First a) (t :: a ~> First b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) Source # (%>>) :: forall a b (t :: First a) (t :: First b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonad Last Source #
Instance details Defined in Data.Semigroup.Singletons Methods (%>>=) :: forall a b (t :: Last a) (t :: a ~> Last b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) Source # (%>>) :: forall a b (t :: Last a) (t :: Last b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonad Max Source #
Instance details Defined in Data.Semigroup.Singletons Methods (%>>=) :: forall a b (t :: Max a) (t :: a ~> Max b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) Source # (%>>) :: forall a b (t :: Max a) (t :: Max b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonad Min Source #
Instance details Defined in Data.Semigroup.Singletons Methods (%>>=) :: forall a b (t :: Min a) (t :: a ~> Min b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) Source # (%>>) :: forall a b (t :: Min a) (t :: Min b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonad Dual Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%>>=) :: forall a b (t :: Dual a) (t :: a ~> Dual b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) Source # (%>>) :: forall a b (t :: Dual a) (t :: Dual b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonad Product Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%>>=) :: forall a b (t :: Product a) (t :: a ~> Product b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) Source # (%>>) :: forall a b (t :: Product a) (t :: Product b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonad Sum Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%>>=) :: forall a b (t :: Sum a) (t :: a ~> Sum b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) Source # (%>>) :: forall a b (t :: Sum a) (t :: Sum b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonad NonEmpty Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods (%>>=) :: forall a b (t :: NonEmpty a) (t :: a ~> NonEmpty b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) Source # (%>>) :: forall a b (t :: NonEmpty a) (t :: NonEmpty b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonad Maybe Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods (%>>=) :: forall a b (t :: Maybe a) (t :: a ~> Maybe b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) Source # (%>>) :: forall a b (t :: Maybe a) (t :: Maybe b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonad [] Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods (%>>=) :: forall a b (t :: [a]) (t :: a ~> [b]). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) Source # (%>>) :: forall a b (t :: [a]) (t :: [b]). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonad (Either e) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods (%>>=) :: forall a b (t :: Either e a) (t :: a ~> Either e b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) Source # (%>>) :: forall a b (t :: Either e a) (t :: Either e b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonad (Proxy :: Type -> Type) Source #
Instance details Defined in Data.Proxy.Singletons Methods (%>>=) :: forall a b (t :: Proxy a) (t :: a ~> Proxy b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) Source # (%>>) :: forall a b (t :: Proxy a) (t :: Proxy b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonoid a => SMonad ((,) a) Source #
Instance details Defined in Control.Monad.Singletons Methods (%>>=) :: forall a0 b (t :: (a, a0)) (t :: a0 ~> (a, b)). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) Source # (%>>) :: forall a0 b (t :: (a, a0)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) Source # sReturn :: forall a0 (t :: a0). Sing t -> Sing (Apply ReturnSym0 t) Source #
(SMonad f, SMonad g) => SMonad (Product f g) Source #
Instance details Defined in Data.Functor.Product.Singletons Methods (%>>=) :: forall a b (t :: Product f g a) (t :: a ~> Product f g b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) Source # (%>>) :: forall a b (t :: Product f g a) (t :: Product f g b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #

class PMonadFail m Source #

Associated Types

type Fail (arg :: [Char]) :: m a Source #

Instances

Instances details

PMonadFail Maybe Source #
Instance details Defined in Control.Monad.Fail.Singletons Associated Types type Fail arg :: m a Source #
PMonadFail [] Source #
Instance details Defined in Control.Monad.Fail.Singletons Associated Types type Fail arg :: m a Source #

class SMonad m => SMonadFail m where Source #

Methods

sFail :: forall a (t :: [Char]). Sing t -> Sing (Apply FailSym0 t :: m a) Source #

Instances

Instances details

SMonadFail Maybe Source #
Instance details Defined in Control.Monad.Fail.Singletons Methods sFail :: forall a (t :: [Char]). Sing t -> Sing (Apply FailSym0 t) Source #
SMonadFail [] Source #
Instance details Defined in Control.Monad.Fail.Singletons Methods sFail :: forall a (t :: [Char]). Sing t -> Sing (Apply FailSym0 t) Source #

type family MapM_ (a :: (~>) a (m b)) (a :: t a) :: m () where ... Source #

Equations

MapM_ f a_6989586621680427163 = Apply (Apply (Apply FoldrSym0 (Apply (Apply (.@#@$) (>>@#@$)) f)) (Apply ReturnSym0 Tuple0Sym0)) a_6989586621680427163

sMapM_ :: forall a m b t (t :: (~>) a (m b)) (t :: t a). (SFoldable t, SMonad m) => Sing t -> Sing t -> Sing (Apply (Apply MapM_Sym0 t) t :: m ()) Source #

type family Sequence_ (a :: t (m a)) :: m () where ... Source #

Equations

Sequence_ a_6989586621680427140 = Apply (Apply (Apply FoldrSym0 (>>@#@$)) (Apply ReturnSym0 Tuple0Sym0)) a_6989586621680427140

sSequence_ :: forall t m a (t :: t (m a)). (SFoldable t, SMonad m) => Sing t -> Sing (Apply Sequence_Sym0 t :: m ()) Source #

type family (a :: (~>) a (m b)) =<< (a :: m a) :: m b where ... infixr 1 Source #

Equations

f =<< x = Apply (Apply (>>=@#@$) x) f

(%=<<) :: forall a m b (t :: (~>) a (m b)) (t :: m a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply (=<<@#@$) t) t :: m b) infixr 1 Source #

Folds and traversals

class PFoldable t Source #

Associated Types

type FoldMap (arg :: (~>) a m) (arg :: t a) :: m Source #

type FoldMap a a = Apply (Apply FoldMap_6989586621680427311Sym0 a) a

type Foldr (arg :: (~>) a ((~>) b b)) (arg :: b) (arg :: t a) :: b Source #

type Foldr a a a = Apply (Apply (Apply Foldr_6989586621680427325Sym0 a) a) a

type Foldl (arg :: (~>) b ((~>) a b)) (arg :: b) (arg :: t a) :: b Source #

type Foldl a a a = Apply (Apply (Apply Foldl_6989586621680427363Sym0 a) a) a

type Foldr1 (arg :: (~>) a ((~>) a a)) (arg :: t a) :: a Source #

type Foldr1 a a = Apply (Apply Foldr1_6989586621680427400Sym0 a) a

type Foldl1 (arg :: (~>) a ((~>) a a)) (arg :: t a) :: a Source #

type Foldl1 a a = Apply (Apply Foldl1_6989586621680427421Sym0 a) a

type Elem (arg :: a) (arg :: t a) :: Bool Source #

type Elem a a = Apply (Apply Elem_6989586621680427486Sym0 a) a

type Maximum (arg :: t a) :: a Source #

type Maximum a = Apply Maximum_6989586621680427500Sym0 a

type Minimum (arg :: t a) :: a Source #

type Minimum a = Apply Minimum_6989586621680427515Sym0 a

type Sum (arg :: t a) :: a Source #

type Sum a = Apply Sum_6989586621680427530Sym0 a

type Product (arg :: t a) :: a Source #

type Product a = Apply Product_6989586621680427539Sym0 a

Instances

Instances details

PFoldable Identity Source #
Instance details Defined in Data.Functor.Identity.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable First Source #
Instance details Defined in Data.Foldable.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable Last Source #
Instance details Defined in Data.Foldable.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable First Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable Last Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable Max Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable Min Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable Dual Source #
Instance details Defined in Data.Foldable.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable Product Source #
Instance details Defined in Data.Foldable.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable Sum Source #
Instance details Defined in Data.Foldable.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable NonEmpty Source #
Instance details Defined in Data.Foldable.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable Maybe Source #
Instance details Defined in Data.Foldable.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable [] Source #
Instance details Defined in Data.Foldable.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable (Either a) Source #
Instance details Defined in Data.Foldable.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable (Proxy :: Type -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable (Arg a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable ((,) a) Source #
Instance details Defined in Data.Foldable.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable (Const m :: Type -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable (Product f g) Source #
Instance details Defined in Data.Functor.Product.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable (Sum f g) Source #
Instance details Defined in Data.Functor.Sum.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable (Compose f g) Source #
Instance details Defined in Data.Functor.Compose.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg :: m Source # type Foldr arg arg arg :: b Source # type Foldr' arg arg arg :: b Source # type Foldl arg arg arg :: b Source # type Foldl' arg arg arg :: b Source # type Foldr1 arg arg :: a Source # type Foldl1 arg arg :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #

class SFoldable t where Source #

Minimal complete definition

Nothing

Methods

sFoldMap :: forall a m (t :: (~>) a m) (t :: t a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t :: m) Source #

default sFoldMap :: forall a m (t :: (~>) a m) (t :: t a). ((Apply (Apply FoldMapSym0 t) t :: m) ~ Apply (Apply FoldMap_6989586621680427311Sym0 t) t, SMonoid m) => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t :: m) Source #

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

default sFoldr :: forall a b (t :: (~>) a ((~>) b b)) (t :: b) (t :: t a). (Apply (Apply (Apply FoldrSym0 t) t) t :: b) ~ Apply (Apply (Apply Foldr_6989586621680427325Sym0 t) t) t => Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t :: b) Source #

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

default sFoldl :: forall b a (t :: (~>) b ((~>) a b)) (t :: b) (t :: t a). (Apply (Apply (Apply FoldlSym0 t) t) t :: b) ~ Apply (Apply (Apply Foldl_6989586621680427363Sym0 t) t) t => Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t :: b) Source #

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

default sFoldr1 :: forall a (t :: (~>) a ((~>) a a)) (t :: t a). (Apply (Apply Foldr1Sym0 t) t :: a) ~ Apply (Apply Foldr1_6989586621680427400Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t :: a) Source #

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

default sFoldl1 :: forall a (t :: (~>) a ((~>) a a)) (t :: t a). (Apply (Apply Foldl1Sym0 t) t :: a) ~ Apply (Apply Foldl1_6989586621680427421Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t :: a) Source #

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

default sElem :: forall a (t :: a) (t :: t a). ((Apply (Apply ElemSym0 t) t :: Bool) ~ Apply (Apply Elem_6989586621680427486Sym0 t) t, SEq a) => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t :: Bool) Source #

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

default sMaximum :: forall a (t :: t a). ((Apply MaximumSym0 t :: a) ~ Apply Maximum_6989586621680427500Sym0 t, SOrd a) => Sing t -> Sing (Apply MaximumSym0 t :: a) Source #

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

default sMinimum :: forall a (t :: t a). ((Apply MinimumSym0 t :: a) ~ Apply Minimum_6989586621680427515Sym0 t, SOrd a) => Sing t -> Sing (Apply MinimumSym0 t :: a) Source #

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

default sSum :: forall a (t :: t a). ((Apply SumSym0 t :: a) ~ Apply Sum_6989586621680427530Sym0 t, SNum a) => Sing t -> Sing (Apply SumSym0 t :: a) Source #

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

default sProduct :: forall a (t :: t a). ((Apply ProductSym0 t :: a) ~ Apply Product_6989586621680427539Sym0 t, SNum a) => Sing t -> Sing (Apply ProductSym0 t :: a) Source #

Instances

Instances details

SFoldable Identity Source #
Instance details Defined in Data.Functor.Identity.Singletons Methods sFold :: forall m (t :: Identity m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a m (t :: a ~> m) (t :: Identity a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Identity a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Identity a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Identity a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Identity a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: Identity a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: Identity a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a (t :: Identity a). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a (t :: Identity a). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a (t :: Identity a). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a (t :: a) (t :: Identity a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a (t :: Identity a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a (t :: Identity a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a (t :: Identity a). SNum a => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a (t :: Identity a). SNum a => Sing t -> Sing (Apply ProductSym0 t) Source #
SFoldable First Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t :: First m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a m (t :: a ~> m) (t :: First a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: First a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: First a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: First a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: First a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a (t :: First a). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a (t :: First a). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a (t :: First a). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a (t :: a) (t :: First a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a (t :: First a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a (t :: First a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a (t :: First a). SNum a => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a (t :: First a). SNum a => Sing t -> Sing (Apply ProductSym0 t) Source #
SFoldable Last Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t :: Last m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a m (t :: a ~> m) (t :: Last a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Last a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Last a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Last a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Last a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a (t :: Last a). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a (t :: Last a). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a (t :: Last a). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a (t :: a) (t :: Last a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a (t :: Last a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a (t :: Last a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a (t :: Last a). SNum a => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a (t :: Last a). SNum a => Sing t -> Sing (Apply ProductSym0 t) Source #
SFoldable First Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFold :: forall m (t :: First m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a m (t :: a ~> m) (t :: First a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: First a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: First a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: First a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: First a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a (t :: First a). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a (t :: First a). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a (t :: First a). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a (t :: a) (t :: First a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a (t :: First a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a (t :: First a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a (t :: First a). SNum a => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a (t :: First a). SNum a => Sing t -> Sing (Apply ProductSym0 t) Source #
SFoldable Last Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFold :: forall m (t :: Last m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a m (t :: a ~> m) (t :: Last a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Last a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Last a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Last a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Last a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a (t :: Last a). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a (t :: Last a). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a (t :: Last a). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a (t :: a) (t :: Last a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a (t :: Last a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a (t :: Last a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a (t :: Last a). SNum a => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a (t :: Last a). SNum a => Sing t -> Sing (Apply ProductSym0 t) Source #
SFoldable Max Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFold :: forall m (t :: Max m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a m (t :: a ~> m) (t :: Max a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Max a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Max a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Max a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Max a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a (t :: Max a). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a (t :: Max a). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a (t :: Max a). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a (t :: a) (t :: Max a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a (t :: Max a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a (t :: Max a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a (t :: Max a). SNum a => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a (t :: Max a). SNum a => Sing t -> Sing (Apply ProductSym0 t) Source #
SFoldable Min Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFold :: forall m (t :: Min m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a m (t :: a ~> m) (t :: Min a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Min a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Min a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Min a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Min a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a (t :: Min a). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a (t :: Min a). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a (t :: Min a). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a (t :: a) (t :: Min a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a (t :: Min a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a (t :: Min a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a (t :: Min a). SNum a => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a (t :: Min a). SNum a => Sing t -> Sing (Apply ProductSym0 t) Source #
SFoldable Dual Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t :: Dual m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a m (t :: a ~> m) (t :: Dual a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Dual a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Dual a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Dual a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Dual a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: Dual a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: Dual a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a (t :: Dual a). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a (t :: Dual a). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a (t :: Dual a). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a (t :: a) (t :: Dual a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a (t :: Dual a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a (t :: Dual a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a (t :: Dual a). SNum a => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a (t :: Dual a). SNum a => Sing t -> Sing (Apply ProductSym0 t) Source #
SFoldable Product Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t :: Product m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a m (t :: a ~> m) (t :: Product a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Product a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Product a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Product a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Product a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: Product a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: Product a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a (t :: Product a). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a (t :: Product a). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a (t :: Product a). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a (t :: a) (t :: Product a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a (t :: Product a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a (t :: Product a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a (t :: Product a). SNum a => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a (t :: Product a). SNum a => Sing t -> Sing (Apply ProductSym0 t) Source #
SFoldable Sum Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t :: Sum m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a m (t :: a ~> m) (t :: Sum a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Sum a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Sum a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Sum a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Sum a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: Sum a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: Sum a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a (t :: Sum a). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a (t :: Sum a). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a (t :: Sum a). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a (t :: a) (t :: Sum a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a (t :: Sum a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a (t :: Sum a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a (t :: Sum a). SNum a => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a (t :: Sum a). SNum a => Sing t -> Sing (Apply ProductSym0 t) Source #
SFoldable NonEmpty Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t :: NonEmpty m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a m (t :: a ~> m) (t :: NonEmpty a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: NonEmpty a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: NonEmpty a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: NonEmpty a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: NonEmpty a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: NonEmpty a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: NonEmpty a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a (t :: NonEmpty a). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a (t :: NonEmpty a). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a (t :: NonEmpty a). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a (t :: a) (t :: NonEmpty a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a (t :: NonEmpty a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a (t :: NonEmpty a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a (t :: NonEmpty a). SNum a => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a (t :: NonEmpty a). SNum a => Sing t -> Sing (Apply ProductSym0 t) Source #
SFoldable Maybe Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t :: Maybe m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a m (t :: a ~> m) (t :: Maybe a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Maybe a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Maybe a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Maybe a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Maybe a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: Maybe a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: Maybe a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a (t :: Maybe a). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a (t :: Maybe a). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a (t :: Maybe a). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a (t :: a) (t :: Maybe a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a (t :: Maybe a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a (t :: Maybe a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a (t :: Maybe a). SNum a => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a (t :: Maybe a). SNum a => Sing t -> Sing (Apply ProductSym0 t) Source #
SFoldable [] Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t :: [m]). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a m (t :: a ~> m) (t :: [a]). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a (t :: [a]). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a (t :: [a]). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a (t :: [a]). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a (t :: a) (t :: [a]). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a (t :: [a]). SOrd a => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a (t :: [a]). SOrd a => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a (t :: [a]). SNum a => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a (t :: [a]). SNum a => Sing t -> Sing (Apply ProductSym0 t) Source #
SFoldable (Either a) Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t :: Either a m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a0 m (t :: a0 ~> m) (t :: Either a a0). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a0 b (t :: a0 ~> (b ~> b)) (t :: b) (t :: Either a a0). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a0 b (t :: a0 ~> (b ~> b)) (t :: b) (t :: Either a a0). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a0 (t :: b ~> (a0 ~> b)) (t :: b) (t :: Either a a0). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a0 (t :: b ~> (a0 ~> b)) (t :: b) (t :: Either a a0). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a0 (t :: a0 ~> (a0 ~> a0)) (t :: Either a a0). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a0 (t :: a0 ~> (a0 ~> a0)) (t :: Either a a0). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a0 (t :: Either a a0). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a0 (t :: Either a a0). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a0 (t :: Either a a0). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a0 (t :: a0) (t :: Either a a0). SEq a0 => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a0 (t :: Either a a0). SOrd a0 => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a0 (t :: Either a a0). SOrd a0 => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a0 (t :: Either a a0). SNum a0 => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a0 (t :: Either a a0). SNum a0 => Sing t -> Sing (Apply ProductSym0 t) Source #
SFoldable (Proxy :: Type -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t :: Proxy m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a m (t :: a ~> m) (t :: Proxy a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Proxy a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Proxy a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Proxy a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Proxy a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: Proxy a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: Proxy a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a (t :: Proxy a). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a (t :: Proxy a). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a (t :: Proxy a). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a (t :: a) (t :: Proxy a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a (t :: Proxy a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a (t :: Proxy a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a (t :: Proxy a). SNum a => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a (t :: Proxy a). SNum a => Sing t -> Sing (Apply ProductSym0 t) Source #
SFoldable (Arg a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFold :: forall m (t :: Arg a m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a0 m (t :: a0 ~> m) (t :: Arg a a0). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a0 b (t :: a0 ~> (b ~> b)) (t :: b) (t :: Arg a a0). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a0 b (t :: a0 ~> (b ~> b)) (t :: b) (t :: Arg a a0). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a0 (t :: b ~> (a0 ~> b)) (t :: b) (t :: Arg a a0). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a0 (t :: b ~> (a0 ~> b)) (t :: b) (t :: Arg a a0). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a0 (t :: a0 ~> (a0 ~> a0)) (t :: Arg a a0). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a0 (t :: a0 ~> (a0 ~> a0)) (t :: Arg a a0). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a0 (t :: Arg a a0). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a0 (t :: Arg a a0). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a0 (t :: Arg a a0). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a0 (t :: a0) (t :: Arg a a0). SEq a0 => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a0 (t :: Arg a a0). SOrd a0 => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a0 (t :: Arg a a0). SOrd a0 => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a0 (t :: Arg a a0). SNum a0 => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a0 (t :: Arg a a0). SNum a0 => Sing t -> Sing (Apply ProductSym0 t) Source #
SFoldable ((,) a) Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t :: (a, m)). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a0 m (t :: a0 ~> m) (t :: (a, a0)). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a0 b (t :: a0 ~> (b ~> b)) (t :: b) (t :: (a, a0)). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a0 b (t :: a0 ~> (b ~> b)) (t :: b) (t :: (a, a0)). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a0 (t :: b ~> (a0 ~> b)) (t :: b) (t :: (a, a0)). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a0 (t :: b ~> (a0 ~> b)) (t :: b) (t :: (a, a0)). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a0 (t :: a0 ~> (a0 ~> a0)) (t :: (a, a0)). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a0 (t :: a0 ~> (a0 ~> a0)) (t :: (a, a0)). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a0 (t :: (a, a0)). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a0 (t :: (a, a0)). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a0 (t :: (a, a0)). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a0 (t :: a0) (t :: (a, a0)). SEq a0 => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a0 (t :: (a, a0)). SOrd a0 => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a0 (t :: (a, a0)). SOrd a0 => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a0 (t :: (a, a0)). SNum a0 => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a0 (t :: (a, a0)). SNum a0 => Sing t -> Sing (Apply ProductSym0 t) Source #
SFoldable (Const m :: Type -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sFold :: forall m0 (t :: Const m m0). SMonoid m0 => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a m0 (t :: a ~> m0) (t :: Const m a). SMonoid m0 => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Const m a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Const m a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Const m a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Const m a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: Const m a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: Const m a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a (t :: Const m a). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a (t :: Const m a). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a (t :: Const m a). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a (t :: a) (t :: Const m a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a (t :: Const m a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a (t :: Const m a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a (t :: Const m a). SNum a => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a (t :: Const m a). SNum a => Sing t -> Sing (Apply ProductSym0 t) Source #
(SFoldable f, SFoldable g) => SFoldable (Product f g) Source #
Instance details Defined in Data.Functor.Product.Singletons Methods sFold :: forall m (t :: Product f g m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a m (t :: a ~> m) (t :: Product f g a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Product f g a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Product f g a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Product f g a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Product f g a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: Product f g a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: Product f g a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a (t :: Product f g a). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a (t :: Product f g a). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a (t :: Product f g a). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a (t :: a) (t :: Product f g a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a (t :: Product f g a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a (t :: Product f g a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a (t :: Product f g a). SNum a => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a (t :: Product f g a). SNum a => Sing t -> Sing (Apply ProductSym0 t) Source #
(SFoldable f, SFoldable g) => SFoldable (Sum f g) Source #
Instance details Defined in Data.Functor.Sum.Singletons Methods sFold :: forall m (t :: Sum f g m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a m (t :: a ~> m) (t :: Sum f g a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Sum f g a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Sum f g a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Sum f g a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Sum f g a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: Sum f g a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: Sum f g a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a (t :: Sum f g a). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a (t :: Sum f g a). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a (t :: Sum f g a). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a (t :: a) (t :: Sum f g a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a (t :: Sum f g a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a (t :: Sum f g a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a (t :: Sum f g a). SNum a => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a (t :: Sum f g a). SNum a => Sing t -> Sing (Apply ProductSym0 t) Source #
(SFoldable f, SFoldable g) => SFoldable (Compose f g) Source #
Instance details Defined in Data.Functor.Compose.Singletons Methods sFold :: forall m (t :: Compose f g m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t) Source # sFoldMap :: forall a m (t :: a ~> m) (t :: Compose f g a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) Source # sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Compose f g a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) Source # sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Compose f g a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) Source # sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Compose f g a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) Source # sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Compose f g a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) Source # sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: Compose f g a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) Source # sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: Compose f g a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) Source # sToList :: forall a (t :: Compose f g a). Sing t -> Sing (Apply ToListSym0 t) Source # sNull :: forall a (t :: Compose f g a). Sing t -> Sing (Apply NullSym0 t) Source # sLength :: forall a (t :: Compose f g a). Sing t -> Sing (Apply LengthSym0 t) Source # sElem :: forall a (t :: a) (t :: Compose f g a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) Source # sMaximum :: forall a (t :: Compose f g a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t) Source # sMinimum :: forall a (t :: Compose f g a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t) Source # sSum :: forall a (t :: Compose f g a). SNum a => Sing t -> Sing (Apply SumSym0 t) Source # sProduct :: forall a (t :: Compose f g a). SNum a => Sing t -> Sing (Apply ProductSym0 t) Source #

class PTraversable t Source #

Associated Types

type Traverse (arg :: (~>) a (f b)) (arg :: t a) :: f (t b) Source #

type Traverse a a = Apply (Apply Traverse_6989586621680777189Sym0 a) a

type SequenceA (arg :: t (f a)) :: f (t a) Source #

type SequenceA a = Apply SequenceA_6989586621680777201Sym0 a

type MapM (arg :: (~>) a (m b)) (arg :: t a) :: m (t b) Source #

type MapM a a = Apply (Apply MapM_6989586621680777211Sym0 a) a

type Sequence (arg :: t (m a)) :: m (t a) Source #

type Sequence a = Apply Sequence_6989586621680777225Sym0 a

Instances

Instances details

PTraversable Identity Source #
Instance details Defined in Data.Traversable.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable First Source #
Instance details Defined in Data.Traversable.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable Last Source #
Instance details Defined in Data.Traversable.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable First Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable Last Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable Max Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable Min Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable Dual Source #
Instance details Defined in Data.Traversable.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable Product Source #
Instance details Defined in Data.Traversable.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable Sum Source #
Instance details Defined in Data.Traversable.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable NonEmpty Source #
Instance details Defined in Data.Traversable.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable Maybe Source #
Instance details Defined in Data.Traversable.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable [] Source #
Instance details Defined in Data.Traversable.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable (Either a) Source #
Instance details Defined in Data.Traversable.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable (Proxy :: Type -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable (Arg a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable ((,) a) Source #
Instance details Defined in Data.Traversable.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable (Const m :: Type -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable (Product f g) Source #
Instance details Defined in Data.Functor.Product.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable (Sum f g) Source #
Instance details Defined in Data.Functor.Sum.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable (Compose f g) Source #
Instance details Defined in Data.Functor.Compose.Singletons Associated Types type Traverse arg arg :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg :: m (t b) Source # type Sequence arg :: m (t a) Source #

class (SFunctor t, SFoldable t) => STraversable t where Source #

Minimal complete definition

Nothing

Methods

sTraverse :: forall a f b (t :: (~>) a (f b)) (t :: t a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t :: f (t b)) Source #

default sTraverse :: forall a f b (t :: (~>) a (f b)) (t :: t a). ((Apply (Apply TraverseSym0 t) t :: f (t b)) ~ Apply (Apply Traverse_6989586621680777189Sym0 t) t, SApplicative f) => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t :: f (t b)) Source #

sSequenceA :: forall f a (t :: t (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t :: f (t a)) Source #

default sSequenceA :: forall f a (t :: t (f a)). ((Apply SequenceASym0 t :: f (t a)) ~ Apply SequenceA_6989586621680777201Sym0 t, SApplicative f) => Sing t -> Sing (Apply SequenceASym0 t :: f (t a)) Source #

sMapM :: forall a m b (t :: (~>) a (m b)) (t :: t a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t :: m (t b)) Source #

default sMapM :: forall a m b (t :: (~>) a (m b)) (t :: t a). ((Apply (Apply MapMSym0 t) t :: m (t b)) ~ Apply (Apply MapM_6989586621680777211Sym0 t) t, SMonad m) => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t :: m (t b)) Source #

sSequence :: forall m a (t :: t (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t :: m (t a)) Source #

default sSequence :: forall m a (t :: t (m a)). ((Apply SequenceSym0 t :: m (t a)) ~ Apply Sequence_6989586621680777225Sym0 t, SMonad m) => Sing t -> Sing (Apply SequenceSym0 t :: m (t a)) Source #

Instances

Instances details

STraversable Identity Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t :: a ~> f b) (t :: Identity a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f :: Type -> Type) a (t :: Identity (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: Identity a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a (t :: Identity (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #
STraversable First Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t :: a ~> f b) (t :: First a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f :: Type -> Type) a (t :: First (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: First a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a (t :: First (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #
STraversable Last Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t :: a ~> f b) (t :: Last a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f :: Type -> Type) a (t :: Last (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: Last a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a (t :: Last (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #
STraversable First Source #
Instance details Defined in Data.Semigroup.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t :: a ~> f b) (t :: First a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f :: Type -> Type) a (t :: First (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: First a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a (t :: First (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #
STraversable Last Source #
Instance details Defined in Data.Semigroup.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t :: a ~> f b) (t :: Last a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f :: Type -> Type) a (t :: Last (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: Last a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a (t :: Last (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #
STraversable Max Source #
Instance details Defined in Data.Semigroup.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t :: a ~> f b) (t :: Max a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f :: Type -> Type) a (t :: Max (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: Max a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a (t :: Max (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #
STraversable Min Source #
Instance details Defined in Data.Semigroup.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t :: a ~> f b) (t :: Min a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f :: Type -> Type) a (t :: Min (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: Min a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a (t :: Min (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #
STraversable Dual Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t :: a ~> f b) (t :: Dual a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f :: Type -> Type) a (t :: Dual (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: Dual a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a (t :: Dual (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #
STraversable Product Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t :: a ~> f b) (t :: Product a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f :: Type -> Type) a (t :: Product (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: Product a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a (t :: Product (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #
STraversable Sum Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t :: a ~> f b) (t :: Sum a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f :: Type -> Type) a (t :: Sum (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: Sum a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a (t :: Sum (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #
STraversable NonEmpty Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t :: a ~> f b) (t :: NonEmpty a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f :: Type -> Type) a (t :: NonEmpty (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: NonEmpty a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a (t :: NonEmpty (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #
STraversable Maybe Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t :: a ~> f b) (t :: Maybe a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f :: Type -> Type) a (t :: Maybe (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: Maybe a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a (t :: Maybe (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #
STraversable [] Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t :: a ~> f b) (t :: [a]). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f :: Type -> Type) a (t :: [f a]). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: [a]). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a (t :: [m a]). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #
STraversable (Either a) Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a0 (f :: Type -> Type) b (t :: a0 ~> f b) (t :: Either a a0). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f :: Type -> Type) a0 (t :: Either a (f a0)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a0 (m :: Type -> Type) b (t :: a0 ~> m b) (t :: Either a a0). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a0 (t :: Either a (m a0)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #
STraversable (Proxy :: Type -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t :: a ~> f b) (t :: Proxy a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f :: Type -> Type) a (t :: Proxy (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: Proxy a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a (t :: Proxy (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #
STraversable (Arg a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sTraverse :: forall a0 (f :: Type -> Type) b (t :: a0 ~> f b) (t :: Arg a a0). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f :: Type -> Type) a0 (t :: Arg a (f a0)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a0 (m :: Type -> Type) b (t :: a0 ~> m b) (t :: Arg a a0). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a0 (t :: Arg a (m a0)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #
STraversable ((,) a) Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a0 (f :: Type -> Type) b (t :: a0 ~> f b) (t :: (a, a0)). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f :: Type -> Type) a0 (t :: (a, f a0)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a0 (m :: Type -> Type) b (t :: a0 ~> m b) (t :: (a, a0)). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a0 (t :: (a, m a0)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #
STraversable (Const m :: Type -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t :: a ~> f b) (t :: Const m a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f :: Type -> Type) a (t :: Const m (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a (m0 :: Type -> Type) b (t :: a ~> m0 b) (t :: Const m a). SMonad m0 => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m0 :: Type -> Type) a (t :: Const m (m0 a)). SMonad m0 => Sing t -> Sing (Apply SequenceSym0 t) Source #
(STraversable f, STraversable g) => STraversable (Product f g) Source #
Instance details Defined in Data.Functor.Product.Singletons Methods sTraverse :: forall a (f0 :: Type -> Type) b (t :: a ~> f0 b) (t :: Product f g a). SApplicative f0 => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f0 :: Type -> Type) a (t :: Product f g (f0 a)). SApplicative f0 => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: Product f g a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a (t :: Product f g (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #
(STraversable f, STraversable g) => STraversable (Sum f g) Source #
Instance details Defined in Data.Functor.Sum.Singletons Methods sTraverse :: forall a (f0 :: Type -> Type) b (t :: a ~> f0 b) (t :: Sum f g a). SApplicative f0 => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f0 :: Type -> Type) a (t :: Sum f g (f0 a)). SApplicative f0 => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: Sum f g a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a (t :: Sum f g (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #
(STraversable f, STraversable g) => STraversable (Compose f g) Source #
Instance details Defined in Data.Functor.Compose.Singletons Methods sTraverse :: forall a (f0 :: Type -> Type) b (t :: a ~> f0 b) (t :: Compose f g a). SApplicative f0 => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t) Source # sSequenceA :: forall (f0 :: Type -> Type) a (t :: Compose f g (f0 a)). SApplicative f0 => Sing t -> Sing (Apply SequenceASym0 t) Source # sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: Compose f g a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t) Source # sSequence :: forall (m :: Type -> Type) a (t :: Compose f g (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t) Source #

Miscellaneous functions

type family Id (a :: a) :: a where ... Source #

Equations

Id x = x

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

type family Const (a :: a) (a :: b) :: a where ... Source #

Equations

Const x _ = x

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

type family ((a :: (~>) b c) . (a :: (~>) a b)) (a :: a) :: c where ... infixr 9 Source #

Equations

(f . g) a_6989586621679287743 = Apply (Apply (Apply (Apply Lambda_6989586621679287755Sym0 f) g) a_6989586621679287743) a_6989586621679287743

(%.) :: forall b c a (t :: (~>) b c) (t :: (~>) a b) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply (.@#@$) t) t) t :: c) infixr 9 Source #

type family Flip (a :: (~>) a ((~>) b c)) (a :: b) (a :: a) :: c where ... Source #

Equations

Flip f x y = Apply (Apply f y) x

sFlip :: forall a b c (t :: (~>) a ((~>) b c)) (t :: b) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FlipSym0 t) t) t :: c) Source #

type family (a :: (~>) a b) $ (a :: a) :: b where ... infixr 0 Source #

Equations

f $ x = Apply f x

(%$) :: forall a b (t :: (~>) a b) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply ($@#@$) t) t :: b) infixr 0 Source #

type family Until (a :: (~>) a Bool) (a :: (~>) a a) (a :: a) :: a where ... Source #

Equations

Until p f a_6989586621679287685 = Apply (Let6989586621679287697GoSym3 p f a_6989586621679287685) a_6989586621679287685

sUntil :: forall a (t :: (~>) a Bool) (t :: (~>) a a) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply UntilSym0 t) t) t :: a) Source #

type family AsTypeOf (a :: a) (a :: a) :: a where ... Source #

Equations

AsTypeOf a_6989586621679287722 a_6989586621679287724 = Apply (Apply ConstSym0 a_6989586621679287722) a_6989586621679287724

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

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.

type family Seq (a :: a) (a :: b) :: b where ... infixr 0 Source #

Equations

Seq _ x = x

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

type family (a :: (~>) a b) $! (a :: a) :: b where ... infixr 0 Source #

Equations

f $! x = Apply f (Let6989586621679287713VxSym2 f x)

(%$!) :: forall a b (t :: (~>) a b) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply ($!@#@$) t) t :: b) infixr 0 Source #

List operations

type family Map (a :: (~>) a b) (a :: [a]) :: [b] where ... Source #

Equations

Map _ '[] = NilSym0
Map f ('(:) x xs) = Apply (Apply (:@#@$) (Apply f x)) (Apply (Apply MapSym0 f) xs)

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

type family (a :: [a]) ++ (a :: [a]) :: [a] where ... infixr 5 Source #

Equations

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

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

type family Filter (a :: (~>) a Bool) (a :: [a]) :: [a] where ... Source #

Equations

Filter _p '[] = NilSym0
Filter p ('(:) x xs) = Case_6989586621679848427 p x xs (Let6989586621679848425Scrutinee_6989586621679844458Sym3 p x xs)

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

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

Equations

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

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

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

Equations

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

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

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

Equations

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

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

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

Equations

Init '[] = Apply ErrorSym0 "Data.Singletons.List.init: empty list"
Init ('(:) x xs) = Apply (Apply (Let6989586621679849170Init'Sym2 x xs) x) xs

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

type family (a :: [a]) !! (a :: Natural) :: a where ... infixl 9 Source #

Equations

'[] !! _ = Apply ErrorSym0 "Data.Singletons.List.!!: index too large"
('(:) x xs) !! n = Case_6989586621679848034 x xs n (Let6989586621679848032Scrutinee_6989586621679844498Sym3 x xs n)

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

type family Null (arg :: t a) :: Bool Source #

Instances

Instances details

type Null (a2 :: Identity a1) Source #
Instance details Defined in Data.Functor.Identity.Singletons type Null (a2 :: Identity a1)
type Null (arg :: First a) Source #
Instance details Defined in Data.Foldable.Singletons type Null (arg :: First a)
type Null (arg :: Last a) Source #
Instance details Defined in Data.Foldable.Singletons type Null (arg :: Last a)
type Null (arg :: First a) Source #
Instance details Defined in Data.Semigroup.Singletons type Null (arg :: First a)
type Null (arg :: Last a) Source #
Instance details Defined in Data.Semigroup.Singletons type Null (arg :: Last a)
type Null (arg :: Max a) Source #
Instance details Defined in Data.Semigroup.Singletons type Null (arg :: Max a)
type Null (arg :: Min a) Source #
Instance details Defined in Data.Semigroup.Singletons type Null (arg :: Min a)
type Null (a2 :: Dual a1) Source #
Instance details Defined in Data.Foldable.Singletons type Null (a2 :: Dual a1)
type Null (a2 :: Product a1) Source #
Instance details Defined in Data.Foldable.Singletons type Null (a2 :: Product a1)
type Null (a2 :: Sum a1) Source #
Instance details Defined in Data.Foldable.Singletons type Null (a2 :: Sum a1)
type Null (arg :: NonEmpty a) Source #
Instance details Defined in Data.Foldable.Singletons type Null (arg :: NonEmpty a)
type Null (arg :: Maybe a) Source #
Instance details Defined in Data.Foldable.Singletons type Null (arg :: Maybe a)
type Null (a2 :: [a1]) Source #
Instance details Defined in Data.Foldable.Singletons type Null (a2 :: [a1])
type Null (a3 :: Either a1 a2) Source #
Instance details Defined in Data.Foldable.Singletons type Null (a3 :: Either a1 a2)
type Null (a2 :: Proxy a1) Source #
Instance details Defined in Data.Foldable.Singletons type Null (a2 :: Proxy a1)
type Null (arg :: Arg a1 a2) Source #
Instance details Defined in Data.Semigroup.Singletons type Null (arg :: Arg a1 a2)
type Null (arg :: (a1, a2)) Source #
Instance details Defined in Data.Foldable.Singletons type Null (arg :: (a1, a2))
type Null (arg :: Const m a) Source #
Instance details Defined in Data.Functor.Const.Singletons type Null (arg :: Const m a)
type Null (arg :: Product f g a) Source #
Instance details Defined in Data.Functor.Product.Singletons type Null (arg :: Product f g a)
type Null (arg :: Sum f g a) Source #
Instance details Defined in Data.Functor.Sum.Singletons type Null (arg :: Sum f g a)
type Null (arg :: Compose f g a) Source #
Instance details Defined in Data.Functor.Compose.Singletons type Null (arg :: Compose f g a)

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

type family Length (arg :: t a) :: Natural Source #

Instances

Instances details

type Length (a2 :: Identity a1) Source #
Instance details Defined in Data.Functor.Identity.Singletons type Length (a2 :: Identity a1)
type Length (arg :: First a) Source #
Instance details Defined in Data.Foldable.Singletons type Length (arg :: First a)
type Length (arg :: Last a) Source #
Instance details Defined in Data.Foldable.Singletons type Length (arg :: Last a)
type Length (arg :: First a) Source #
Instance details Defined in Data.Semigroup.Singletons type Length (arg :: First a)
type Length (arg :: Last a) Source #
Instance details Defined in Data.Semigroup.Singletons type Length (arg :: Last a)
type Length (arg :: Max a) Source #
Instance details Defined in Data.Semigroup.Singletons type Length (arg :: Max a)
type Length (arg :: Min a) Source #
Instance details Defined in Data.Semigroup.Singletons type Length (arg :: Min a)
type Length (a2 :: Dual a1) Source #
Instance details Defined in Data.Foldable.Singletons type Length (a2 :: Dual a1)
type Length (a2 :: Product a1) Source #
Instance details Defined in Data.Foldable.Singletons type Length (a2 :: Product a1)
type Length (a2 :: Sum a1) Source #
Instance details Defined in Data.Foldable.Singletons type Length (a2 :: Sum a1)
type Length (arg :: NonEmpty a) Source #
Instance details Defined in Data.Foldable.Singletons type Length (arg :: NonEmpty a)
type Length (arg :: Maybe a) Source #
Instance details Defined in Data.Foldable.Singletons type Length (arg :: Maybe a)
type Length (a2 :: [a1]) Source #
Instance details Defined in Data.Foldable.Singletons type Length (a2 :: [a1])
type Length (a3 :: Either a1 a2) Source #
Instance details Defined in Data.Foldable.Singletons type Length (a3 :: Either a1 a2)
type Length (a2 :: Proxy a1) Source #
Instance details Defined in Data.Foldable.Singletons type Length (a2 :: Proxy a1)
type Length (arg :: Arg a1 a2) Source #
Instance details Defined in Data.Semigroup.Singletons type Length (arg :: Arg a1 a2)
type Length (arg :: (a1, a2)) Source #
Instance details Defined in Data.Foldable.Singletons type Length (arg :: (a1, a2))
type Length (arg :: Const m a) Source #
Instance details Defined in Data.Functor.Const.Singletons type Length (arg :: Const m a)
type Length (arg :: Product f g a) Source #
Instance details Defined in Data.Functor.Product.Singletons type Length (arg :: Product f g a)
type Length (arg :: Sum f g a) Source #
Instance details Defined in Data.Functor.Sum.Singletons type Length (arg :: Sum f g a)
type Length (arg :: Compose f g a) Source #
Instance details Defined in Data.Functor.Compose.Singletons type Length (arg :: Compose f g a)

sLength :: forall a (t :: t a). SFoldable t => Sing t -> Sing (Apply LengthSym0 t :: Natural) Source #

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

Equations

Reverse l = Apply (Apply (Let6989586621679849154RevSym1 l) l) NilSym0

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

Special folds

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

Equations

And a_6989586621680427101 = Apply (Apply (Apply (.@#@$) GetAllSym0) (Apply FoldMapSym0 All_Sym0)) a_6989586621680427101

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

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

Equations

Or a_6989586621680427095 = Apply (Apply (Apply (.@#@$) GetAnySym0) (Apply FoldMapSym0 Any_Sym0)) a_6989586621680427095

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

type family Any (a :: (~>) a Bool) (a :: t a) :: Bool where ... Source #

Equations

Any p a_6989586621680427086 = Apply (Apply (Apply (.@#@$) GetAnySym0) (Apply FoldMapSym0 (Apply (Apply (.@#@$) Any_Sym0) p))) a_6989586621680427086

sAny :: forall a t (t :: (~>) a Bool) (t :: t a). SFoldable t => Sing t -> Sing t -> Sing (Apply (Apply AnySym0 t) t :: Bool) Source #

type family All (a :: (~>) a Bool) (a :: t a) :: Bool where ... Source #

Equations

All p a_6989586621680427077 = Apply (Apply (Apply (.@#@$) GetAllSym0) (Apply FoldMapSym0 (Apply (Apply (.@#@$) All_Sym0) p))) a_6989586621680427077

sAll :: forall a t (t :: (~>) a Bool) (t :: t a). SFoldable t => Sing t -> Sing t -> Sing (Apply (Apply AllSym0 t) t :: Bool) Source #

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

Equations

Concat xs = Apply (Apply (Apply FoldrSym0 (Apply Lambda_6989586621680427123Sym0 xs)) NilSym0) xs

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

type family ConcatMap (a :: (~>) a [b]) (a :: t a) :: [b] where ... Source #

Equations

ConcatMap f xs = Apply (Apply (Apply FoldrSym0 (Apply (Apply Lambda_6989586621680427114Sym0 f) xs)) NilSym0) xs

sConcatMap :: forall a b t (t :: (~>) a [b]) (t :: t a). SFoldable t => Sing t -> Sing t -> Sing (Apply (Apply ConcatMapSym0 t) t :: [b]) Source #

Building lists

Scans

type family Scanl (a :: (~>) b ((~>) a b)) (a :: b) (a :: [a]) :: [b] where ... Source #

Equations

Scanl f q ls = Apply (Apply (:@#@$) q) (Case_6989586621679848963 f q ls ls)

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

type family Scanl1 (a :: (~>) a ((~>) a a)) (a :: [a]) :: [a] where ... Source #

Equations

Scanl1 f ('(:) x xs) = Apply (Apply (Apply ScanlSym0 f) x) xs
Scanl1 _ '[] = NilSym0

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

type family Scanr (a :: (~>) a ((~>) b b)) (a :: b) (a :: [a]) :: [b] where ... Source #

Equations

Scanr _ q0 '[] = Apply (Apply (:@#@$) q0) NilSym0
Scanr f q0 ('(:) x xs) = Case_6989586621679848940 f q0 x xs (Let6989586621679848938Scrutinee_6989586621679844388Sym4 f q0 x xs)

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

type family Scanr1 (a :: (~>) a ((~>) a a)) (a :: [a]) :: [a] where ... Source #

Equations

Scanr1 _ '[] = NilSym0
Scanr1 _ '[x] = Apply (Apply (:@#@$) x) NilSym0
Scanr1 f ('(:) x ('(:) wild_6989586621679844400 wild_6989586621679844402)) = Case_6989586621679848921 f x wild_6989586621679844400 wild_6989586621679844402 (Let6989586621679848919Scrutinee_6989586621679844394Sym4 f x wild_6989586621679844400 wild_6989586621679844402)

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

Infinite lists

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

Equations

Replicate n x = Case_6989586621679848053 n x (Let6989586621679848051Scrutinee_6989586621679844496Sym2 n x)

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

Sublists

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

Equations

Take _ '[] = NilSym0
Take n ('(:) x xs) = Case_6989586621679848209 n x xs (Let6989586621679848207Scrutinee_6989586621679844480Sym3 n x xs)

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

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

Equations

Drop _ '[] = NilSym0
Drop n ('(:) x xs) = Case_6989586621679848196 n x xs (Let6989586621679848194Scrutinee_6989586621679844482Sym3 n x xs)

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

type family TakeWhile (a :: (~>) a Bool) (a :: [a]) :: [a] where ... Source #

Equations

TakeWhile _ '[] = NilSym0
TakeWhile p ('(:) x xs) = Case_6989586621679848326 p x xs (Let6989586621679848324Scrutinee_6989586621679844470Sym3 p x xs)

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

type family DropWhile (a :: (~>) a Bool) (a :: [a]) :: [a] where ... Source #

Equations

DropWhile _ '[] = NilSym0
DropWhile p ('(:) x xs') = Case_6989586621679848313 p x xs' (Let6989586621679848311Scrutinee_6989586621679844472Sym3 p x xs')

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

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

Equations

Span _ '[] = Apply (Apply Tuple2Sym0 Let6989586621679848252XsSym0) Let6989586621679848252XsSym0
Span p ('(:) x xs') = Case_6989586621679848261 p x xs' (Let6989586621679848259Scrutinee_6989586621679844476Sym3 p x xs')

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

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

Equations

Break _ '[] = Apply (Apply Tuple2Sym0 Let6989586621679848217XsSym0) Let6989586621679848217XsSym0
Break p ('(:) x xs') = Case_6989586621679848226 p x xs' (Let6989586621679848224Scrutinee_6989586621679844478Sym3 p x xs')

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

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

Equations

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

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

Searching lists

type family NotElem (a :: a) (a :: t a) :: Bool where ... Source #

Equations

NotElem x a_6989586621680427028 = Apply (Apply (Apply (.@#@$) NotSym0) (Apply ElemSym0 x)) a_6989586621680427028

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

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

Equations

Lookup _key '[] = NothingSym0
Lookup key ('(:) '(x, y) xys) = Case_6989586621679848119 key x y xys (Let6989586621679848117Scrutinee_6989586621679844492Sym4 key x y xys)

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

Zipping and unzipping lists

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

Equations

Zip ('(:) x xs) ('(:) y ys) = Apply (Apply (:@#@$) (Apply (Apply Tuple2Sym0 x) y)) (Apply (Apply ZipSym0 xs) ys)
Zip '[] '[] = NilSym0
Zip ('(:) _ _) '[] = NilSym0
Zip '[] ('(:) _ _) = NilSym0

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

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

Equations

Zip3 ('(:) a as) ('(:) b bs) ('(:) c cs) = Apply (Apply (:@#@$) (Apply (Apply (Apply Tuple3Sym0 a) b) c)) (Apply (Apply (Apply Zip3Sym0 as) bs) cs)
Zip3 '[] '[] '[] = NilSym0
Zip3 '[] '[] ('(:) _ _) = NilSym0
Zip3 '[] ('(:) _ _) '[] = NilSym0
Zip3 '[] ('(:) _ _) ('(:) _ _) = NilSym0
Zip3 ('(:) _ _) '[] '[] = NilSym0
Zip3 ('(:) _ _) '[] ('(:) _ _) = NilSym0
Zip3 ('(:) _ _) ('(:) _ _) '[] = NilSym0

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

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

Equations

ZipWith f ('(:) x xs) ('(:) y ys) = Apply (Apply (:@#@$) (Apply (Apply f x) y)) (Apply (Apply (Apply ZipWithSym0 f) xs) ys)
ZipWith _ '[] '[] = NilSym0
ZipWith _ ('(:) _ _) '[] = NilSym0
ZipWith _ '[] ('(:) _ _) = NilSym0

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

type family ZipWith3 (a :: (~>) a ((~>) b ((~>) c d))) (a :: [a]) (a :: [b]) (a :: [c]) :: [d] where ... Source #

Equations

ZipWith3 z ('(:) a as) ('(:) b bs) ('(:) c cs) = Apply (Apply (:@#@$) (Apply (Apply (Apply z a) b) c)) (Apply (Apply (Apply (Apply ZipWith3Sym0 z) as) bs) cs)
ZipWith3 _ '[] '[] '[] = NilSym0
ZipWith3 _ '[] '[] ('(:) _ _) = NilSym0
ZipWith3 _ '[] ('(:) _ _) '[] = NilSym0
ZipWith3 _ '[] ('(:) _ _) ('(:) _ _) = NilSym0
ZipWith3 _ ('(:) _ _) '[] '[] = NilSym0
ZipWith3 _ ('(:) _ _) '[] ('(:) _ _) = NilSym0
ZipWith3 _ ('(:) _ _) ('(:) _ _) '[] = NilSym0

sZipWith3 :: forall a b c d (t :: (~>) a ((~>) b ((~>) c d))) (t :: [a]) (t :: [b]) (t :: [c]). Sing t -> Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply (Apply ZipWith3Sym0 t) t) t) t :: [d]) Source #

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

Equations

Unzip xs = Apply (Apply (Apply FoldrSym0 (Apply Lambda_6989586621679848681Sym0 xs)) (Apply (Apply Tuple2Sym0 NilSym0) NilSym0)) xs

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

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

Equations

Unzip3 xs = Apply (Apply (Apply FoldrSym0 (Apply Lambda_6989586621679848663Sym0 xs)) (Apply (Apply (Apply Tuple3Sym0 NilSym0) NilSym0) NilSym0)) xs

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

Functions on `Symbol`s

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

Equations

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

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

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

Equations

Unwords '[] = ""
Unwords ('(:) w ws) = Apply (Apply (<>@#@$) w) (Apply (Let6989586621679848557GoSym2 w ws) ws)

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

Converting to and from `Symbol`

Converting to `Symbol`

type SymbolS = Symbol -> Symbol Source #

The shows functions return a function that prepends the output Symbol to an existing Symbol. This allows constant-time concatenation of results using function composition.

show_ :: Show a => a -> String Source #

show, but with an extra underscore so that its promoted counterpart (Show_) will not clash with the Show class.

class PShow a Source #

Associated Types

type ShowsPrec (arg :: Natural) (arg :: a) (arg :: Symbol) :: Symbol Source #

type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_6989586621680243326Sym0 a) a) a

type Show_ (arg :: a) :: Symbol Source #

type Show_ a = Apply Show__6989586621680243338Sym0 a

type ShowList (arg :: [a]) (arg :: Symbol) :: Symbol Source #

type ShowList a a = Apply (Apply ShowList_6989586621680243346Sym0 a) a

Instances

Instances details

PShow All Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow Any Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow Void Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow Ordering Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow Natural Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow () Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow Bool Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow Char Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow Symbol Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (Identity a) Source #
Instance details Defined in Data.Functor.Identity.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (First a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (Last a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (First a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (NonEmpty a) Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (Maybe a) Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow [a] Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (Either a b) Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (Arg a b) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (a, b) Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (a, b, c) Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (a, b, c, d) Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (a, b, c, d, e) Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (a, b, c, d, e, f) Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
PShow (a, b, c, d, e, f, g) Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #

class SShow a where Source #

Minimal complete definition

Nothing

Methods

sShowsPrec :: forall (t :: Natural) (t :: a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t :: Symbol) Source #

default sShowsPrec :: forall (t :: Natural) (t :: a) (t :: Symbol). (Apply (Apply (Apply ShowsPrecSym0 t) t) t :: Symbol) ~ Apply (Apply (Apply ShowsPrec_6989586621680243326Sym0 t) t) t => Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t :: Symbol) Source #

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

default sShow_ :: forall (t :: a). (Apply Show_Sym0 t :: Symbol) ~ Apply Show__6989586621680243338Sym0 t => Sing t -> Sing (Apply Show_Sym0 t :: Symbol) Source #

sShowList :: forall (t :: [a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t :: Symbol) Source #

default sShowList :: forall (t :: [a]) (t :: Symbol). (Apply (Apply ShowListSym0 t) t :: Symbol) ~ Apply (Apply ShowList_6989586621680243346Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t :: Symbol) Source #

Instances

Instances details

SShow Bool => SShow All Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: All) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: All). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [All]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow Bool => SShow Any Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Any) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Any). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Any]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow Void Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Void) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Void). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Void]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow Ordering Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Ordering) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Ordering). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Ordering]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow Natural Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Natural) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Natural). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Natural]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow () Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: ()) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: ()). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [()]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow Bool Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Bool) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Bool). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Bool]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow Char Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Char) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Char). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Char]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow Symbol Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Symbol). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Symbol]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow a => SShow (Identity a) Source #
Instance details Defined in Data.Functor.Identity.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Identity a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Identity a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Identity a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow (Maybe a) => SShow (First a) Source #
Instance details Defined in Data.Monoid.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: First a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: First a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [First a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow (Maybe a) => SShow (Last a) Source #
Instance details Defined in Data.Monoid.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Last a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Last a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Last a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow a => SShow (First a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: First a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: First a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [First a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow a => SShow (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Last a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Last a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Last a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow a => SShow (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Max a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Max a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Max a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow a => SShow (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Min a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Min a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Min a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow m => SShow (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: WrappedMonoid m) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: WrappedMonoid m). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [WrappedMonoid m]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow a => SShow (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Dual a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Dual a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Dual a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow a => SShow (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Product a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Product a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Product a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow a => SShow (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Sum a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Sum a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Sum a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
(SShow a, SShow [a]) => SShow (NonEmpty a) Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: NonEmpty a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: NonEmpty a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [NonEmpty a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow a => SShow (Maybe a) Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Maybe a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Maybe a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Maybe a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow a => SShow [a] Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: [a]) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: [a]). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [[a]]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
(SShow a, SShow b) => SShow (Either a b) Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Either a b) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Either a b). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Either a b]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Proxy s) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Proxy s). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Proxy s]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
(SShow a, SShow b) => SShow (Arg a b) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Arg a b) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Arg a b). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Arg a b]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
(SShow a, SShow b) => SShow (a, b) Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: (a, b)) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: (a, b)). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [(a, b)]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
SShow a => SShow (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: Const a b) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Const a b). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Const a b]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
(SShow a, SShow b, SShow c) => SShow (a, b, c) Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: (a, b, c)) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: (a, b, c)). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [(a, b, c)]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
(SShow a, SShow b, SShow c, SShow d) => SShow (a, b, c, d) Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: (a, b, c, d)) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: (a, b, c, d)). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [(a, b, c, d)]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
(SShow a, SShow b, SShow c, SShow d, SShow e) => SShow (a, b, c, d, e) Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: (a, b, c, d, e)) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: (a, b, c, d, e)). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [(a, b, c, d, e)]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
(SShow a, SShow b, SShow c, SShow d, SShow e, SShow f) => SShow (a, b, c, d, e, f) Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: (a, b, c, d, e, f)) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: (a, b, c, d, e, f)). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [(a, b, c, d, e, f)]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
(SShow a, SShow b, SShow c, SShow d, SShow e, SShow f, SShow g) => SShow (a, b, c, d, e, f, g) Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t :: Natural) (t :: (a, b, c, d, e, f, g)) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: (a, b, c, d, e, f, g)). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [(a, b, c, d, e, f, g)]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #

type family Shows (a :: a) (a :: Symbol) :: Symbol where ... Source #

Equations

Shows s a_6989586621680243299 = Apply (Apply (Apply ShowsPrecSym0 (FromInteger 0)) s) a_6989586621680243299

sShows :: forall a (t :: a) (t :: Symbol). SShow a => Sing t -> Sing t -> Sing (Apply (Apply ShowsSym0 t) t :: Symbol) Source #

type family ShowChar (a :: Char) (a :: Symbol) :: Symbol where ... Source #

Equations

ShowChar a_6989586621680243271 a_6989586621680243273 = Apply (Apply ConsSymbolSym0 a_6989586621680243271) a_6989586621680243273

sShowChar :: forall (t :: Char) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowCharSym0 t) t :: Symbol) Source #

type family ShowString (a :: Symbol) (a :: Symbol) :: Symbol where ... Source #

Equations

ShowString a_6989586621680243260 a_6989586621680243262 = Apply (Apply (<>@#@$) a_6989586621680243260) a_6989586621680243262

sShowString :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowStringSym0 t) t :: Symbol) Source #

type family ShowParen (a :: Bool) (a :: (~>) Symbol Symbol) (a :: Symbol) :: Symbol where ... Source #

Equations

ShowParen b p a_6989586621680243245 = Apply (Case_6989586621680243257 b p a_6989586621680243245 b) a_6989586621680243245

sShowParen :: forall (t :: Bool) (t :: (~>) Symbol Symbol) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowParenSym0 t) t) t :: Symbol) Source #

Defunctionalization symbols

Basic data types

type family FalseSym0 :: Bool where ... Source #

Equations

FalseSym0 = 'False

type family TrueSym0 :: Bool where ... Source #

Equations

TrueSym0 = 'True

data IfSym0 :: (~>) Bool ((~>) k ((~>) k k)) Source #

Instances

Instances details

SingI (IfSym0 :: TyFun Bool (k ~> (k ~> k)) -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods sing :: Sing IfSym0
SuppressUnusedWarnings (IfSym0 :: TyFun Bool (k ~> (k ~> k)) -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply (IfSym0 :: TyFun Bool (k ~> (k ~> k)) -> Type) (a6989586621679141394 :: Bool) Source #
Instance details Defined in Data.Bool.Singletons type Apply (IfSym0 :: TyFun Bool (k ~> (k ~> k)) -> Type) (a6989586621679141394 :: Bool) = IfSym1 a6989586621679141394 :: TyFun k (k ~> k) -> Type

data IfSym1 (a6989586621679141394 :: Bool) :: (~>) k ((~>) k k) Source #

Instances

Instances details

SingI1 (IfSym1 :: Bool -> TyFun k (k ~> k) -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (IfSym1 x)
SingI c => SingI (IfSym1 c :: TyFun k (k ~> k) -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods sing :: Sing (IfSym1 c)
SuppressUnusedWarnings (IfSym1 a6989586621679141394 :: TyFun k (k ~> k) -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply (IfSym1 a6989586621679141394 :: TyFun k (k ~> k) -> Type) (a6989586621679141395 :: k) Source #
Instance details Defined in Data.Bool.Singletons type Apply (IfSym1 a6989586621679141394 :: TyFun k (k ~> k) -> Type) (a6989586621679141395 :: k) = IfSym2 a6989586621679141394 a6989586621679141395

data IfSym2 (a6989586621679141394 :: Bool) (a6989586621679141395 :: k) :: (~>) k k Source #

Instances

Instances details

SingI2 (IfSym2 :: Bool -> k2 -> TyFun k2 k2 -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k20). Sing x -> Sing y -> Sing (IfSym2 x y)
SingI c => SingI1 (IfSym2 c :: k1 -> TyFun k1 k1 -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods liftSing :: forall (x :: k10). Sing x -> Sing (IfSym2 c x)
(SingI c, SingI t) => SingI (IfSym2 c t :: TyFun k k -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods sing :: Sing (IfSym2 c t)
SuppressUnusedWarnings (IfSym2 a6989586621679141394 a6989586621679141395 :: TyFun k k -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply (IfSym2 a6989586621679141394 a6989586621679141395 :: TyFun k k -> Type) (a6989586621679141396 :: k) Source #
Instance details Defined in Data.Bool.Singletons type Apply (IfSym2 a6989586621679141394 a6989586621679141395 :: TyFun k k -> Type) (a6989586621679141396 :: k) = If a6989586621679141394 a6989586621679141395 a6989586621679141396

type family IfSym3 (a6989586621679141394 :: Bool) (a6989586621679141395 :: k) (a6989586621679141396 :: k) :: k where ... Source #

Equations

IfSym3 a6989586621679141394 a6989586621679141395 a6989586621679141396 = If a6989586621679141394 a6989586621679141395 a6989586621679141396

data (&&@#@$) :: (~>) Bool ((~>) Bool Bool) infixr 3 Source #

Instances

Instances details

SingI (&&@#@$) Source #
Instance details Defined in Data.Bool.Singletons Methods sing :: Sing (&&@#@$)
SuppressUnusedWarnings (&&@#@$) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply (&&@#@$) (a6989586621679140549 :: Bool) Source #
Instance details Defined in Data.Bool.Singletons type Apply (&&@#@$) (a6989586621679140549 :: Bool) = (&&@#@$$) a6989586621679140549

data (&&@#@$$) (a6989586621679140549 :: Bool) :: (~>) Bool Bool infixr 3 Source #

Instances

Instances details

SingI x => SingI ((&&@#@$$) x :: TyFun Bool Bool -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods sing :: Sing ((&&@#@$$) x)
SuppressUnusedWarnings ((&&@#@$$) a6989586621679140549 :: TyFun Bool Bool -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((&&@#@$$) a6989586621679140549 :: TyFun Bool Bool -> Type) (a6989586621679140550 :: Bool) Source #
Instance details Defined in Data.Bool.Singletons type Apply ((&&@#@$$) a6989586621679140549 :: TyFun Bool Bool -> Type) (a6989586621679140550 :: Bool) = a6989586621679140549 && a6989586621679140550

type family (a6989586621679140549 :: Bool) &&@#@$$$ (a6989586621679140550 :: Bool) :: Bool where ... infixr 3 Source #

Equations

a6989586621679140549 &&@#@$$$ a6989586621679140550 = (&&) a6989586621679140549 a6989586621679140550

data (||@#@$) :: (~>) Bool ((~>) Bool Bool) infixr 2 Source #

Instances

Instances details

SingI (\|\|@#@$) Source #
Instance details Defined in Data.Bool.Singletons Methods sing :: Sing (\|\|@#@$)
SuppressUnusedWarnings (\|\|@#@$) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply (\|\|@#@$) (a6989586621679140880 :: Bool) Source #
Instance details Defined in Data.Bool.Singletons type Apply (\|\|@#@$) (a6989586621679140880 :: Bool) = (\|\|@#@$$) a6989586621679140880

data (||@#@$$) (a6989586621679140880 :: Bool) :: (~>) Bool Bool infixr 2 Source #

Instances

Instances details

SingI x => SingI ((\|\|@#@$$) x :: TyFun Bool Bool -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods sing :: Sing ((\|\|@#@$$) x)
SuppressUnusedWarnings ((\|\|@#@$$) a6989586621679140880 :: TyFun Bool Bool -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((\|\|@#@$$) a6989586621679140880 :: TyFun Bool Bool -> Type) (a6989586621679140881 :: Bool) Source #
Instance details Defined in Data.Bool.Singletons type Apply ((\|\|@#@$$) a6989586621679140880 :: TyFun Bool Bool -> Type) (a6989586621679140881 :: Bool) = a6989586621679140880 \|\| a6989586621679140881

type family (a6989586621679140880 :: Bool) ||@#@$$$ (a6989586621679140881 :: Bool) :: Bool where ... infixr 2 Source #

Equations

a6989586621679140880 ||@#@$$$ a6989586621679140881 = (||) a6989586621679140880 a6989586621679140881

data NotSym0 :: (~>) Bool Bool Source #

Instances

Instances details

SingI NotSym0 Source #
Instance details Defined in Data.Bool.Singletons Methods sing :: Sing NotSym0
SuppressUnusedWarnings NotSym0 Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply NotSym0 (a6989586621679141194 :: Bool) Source #
Instance details Defined in Data.Bool.Singletons type Apply NotSym0 (a6989586621679141194 :: Bool) = Not a6989586621679141194

type family NotSym1 (a6989586621679141194 :: Bool) :: Bool where ... Source #

Equations

NotSym1 a6989586621679141194 = Not a6989586621679141194

type family OtherwiseSym0 :: Bool where ... Source #

Equations

OtherwiseSym0 = Otherwise

type family NothingSym0 :: Maybe (a :: Type) where ... Source #

Equations

NothingSym0 = 'Nothing

data JustSym0 :: (~>) a (Maybe (a :: Type)) Source #

Instances

Instances details

SingI (JustSym0 :: TyFun a (Maybe a) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing JustSym0
SuppressUnusedWarnings (JustSym0 :: TyFun a (Maybe a) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (JustSym0 :: TyFun a (Maybe a) -> Type) (a6989586621679042084 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (JustSym0 :: TyFun a (Maybe a) -> Type) (a6989586621679042084 :: a) = 'Just a6989586621679042084

type family JustSym1 (a6989586621679042084 :: a) :: Maybe (a :: Type) where ... Source #

Equations

JustSym1 a6989586621679042084 = 'Just a6989586621679042084

data Maybe_Sym0 :: (~>) b ((~>) ((~>) a b) ((~>) (Maybe a) b)) Source #

Instances

Instances details

SingI (Maybe_Sym0 :: TyFun b ((a ~> b) ~> (Maybe a ~> b)) -> Type) Source #
Instance details Defined in Data.Maybe.Singletons Methods sing :: Sing Maybe_Sym0
SuppressUnusedWarnings (Maybe_Sym0 :: TyFun b ((a ~> b) ~> (Maybe a ~> b)) -> Type) Source #
Instance details Defined in Data.Maybe.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Maybe_Sym0 :: TyFun b ((a ~> b) ~> (Maybe a ~> b)) -> Type) (a6989586621679569538 :: b) Source #
Instance details Defined in Data.Maybe.Singletons type Apply (Maybe_Sym0 :: TyFun b ((a ~> b) ~> (Maybe a ~> b)) -> Type) (a6989586621679569538 :: b) = Maybe_Sym1 a6989586621679569538 :: TyFun (a ~> b) (Maybe a ~> b) -> Type

data Maybe_Sym1 (a6989586621679569538 :: b) :: (~>) ((~>) a b) ((~>) (Maybe a) b) Source #

Instances

Instances details

SingI1 (Maybe_Sym1 :: b -> TyFun (a ~> b) (Maybe a ~> b) -> Type) Source #
Instance details Defined in Data.Maybe.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (Maybe_Sym1 x)
SingI d => SingI (Maybe_Sym1 d :: TyFun (a ~> b) (Maybe a ~> b) -> Type) Source #
Instance details Defined in Data.Maybe.Singletons Methods sing :: Sing (Maybe_Sym1 d)
SuppressUnusedWarnings (Maybe_Sym1 a6989586621679569538 :: TyFun (a ~> b) (Maybe a ~> b) -> Type) Source #
Instance details Defined in Data.Maybe.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Maybe_Sym1 a6989586621679569538 :: TyFun (a ~> b) (Maybe a ~> b) -> Type) (a6989586621679569539 :: a ~> b) Source #
Instance details Defined in Data.Maybe.Singletons type Apply (Maybe_Sym1 a6989586621679569538 :: TyFun (a ~> b) (Maybe a ~> b) -> Type) (a6989586621679569539 :: a ~> b) = Maybe_Sym2 a6989586621679569538 a6989586621679569539

data Maybe_Sym2 (a6989586621679569538 :: b) (a6989586621679569539 :: (~>) a b) :: (~>) (Maybe a) b Source #

Instances

Instances details

SingI2 (Maybe_Sym2 :: b -> (a ~> b) -> TyFun (Maybe a) b -> Type) Source #
Instance details Defined in Data.Maybe.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Maybe_Sym2 x y)
SingI d => SingI1 (Maybe_Sym2 d :: (a ~> b) -> TyFun (Maybe a) b -> Type) Source #
Instance details Defined in Data.Maybe.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (Maybe_Sym2 d x)
(SingI d1, SingI d2) => SingI (Maybe_Sym2 d1 d2 :: TyFun (Maybe a) b -> Type) Source #
Instance details Defined in Data.Maybe.Singletons Methods sing :: Sing (Maybe_Sym2 d1 d2)
SuppressUnusedWarnings (Maybe_Sym2 a6989586621679569538 a6989586621679569539 :: TyFun (Maybe a) b -> Type) Source #
Instance details Defined in Data.Maybe.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Maybe_Sym2 a6989586621679569538 a6989586621679569539 :: TyFun (Maybe a) b -> Type) (a6989586621679569540 :: Maybe a) Source #
Instance details Defined in Data.Maybe.Singletons type Apply (Maybe_Sym2 a6989586621679569538 a6989586621679569539 :: TyFun (Maybe a) b -> Type) (a6989586621679569540 :: Maybe a) = Maybe_ a6989586621679569538 a6989586621679569539 a6989586621679569540

type family Maybe_Sym3 (a6989586621679569538 :: b) (a6989586621679569539 :: (~>) a b) (a6989586621679569540 :: Maybe a) :: b where ... Source #

Equations

Maybe_Sym3 a6989586621679569538 a6989586621679569539 a6989586621679569540 = Maybe_ a6989586621679569538 a6989586621679569539 a6989586621679569540

data LeftSym0 :: (~>) a (Either (a :: Type) (b :: Type)) Source #

Instances

Instances details

SingI (LeftSym0 :: TyFun a (Either a b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing LeftSym0
SuppressUnusedWarnings (LeftSym0 :: TyFun a (Either a b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (LeftSym0 :: TyFun a (Either a b) -> Type) (a6989586621679042156 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (LeftSym0 :: TyFun a (Either a b) -> Type) (a6989586621679042156 :: a) = 'Left a6989586621679042156 :: Either a b

type family LeftSym1 (a6989586621679042156 :: a) :: Either (a :: Type) (b :: Type) where ... Source #

Equations

LeftSym1 a6989586621679042156 = 'Left a6989586621679042156

data RightSym0 :: (~>) b (Either (a :: Type) (b :: Type)) Source #

Instances

Instances details

SingI (RightSym0 :: TyFun b (Either a b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing RightSym0
SuppressUnusedWarnings (RightSym0 :: TyFun b (Either a b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (RightSym0 :: TyFun b (Either a b) -> Type) (a6989586621679042158 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (RightSym0 :: TyFun b (Either a b) -> Type) (a6989586621679042158 :: b) = 'Right a6989586621679042158 :: Either a b

type family RightSym1 (a6989586621679042158 :: b) :: Either (a :: Type) (b :: Type) where ... Source #

Equations

RightSym1 a6989586621679042158 = 'Right a6989586621679042158

data Either_Sym0 :: (~>) ((~>) a c) ((~>) ((~>) b c) ((~>) (Either a b) c)) Source #

Instances

Instances details

SingI (Either_Sym0 :: TyFun (a ~> c) ((b ~> c) ~> (Either a b ~> c)) -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods sing :: Sing Either_Sym0
SuppressUnusedWarnings (Either_Sym0 :: TyFun (a ~> c) ((b ~> c) ~> (Either a b ~> c)) -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Either_Sym0 :: TyFun (a ~> c) ((b ~> c) ~> (Either a b ~> c)) -> Type) (a6989586621679322752 :: a ~> c) Source #
Instance details Defined in Data.Either.Singletons type Apply (Either_Sym0 :: TyFun (a ~> c) ((b ~> c) ~> (Either a b ~> c)) -> Type) (a6989586621679322752 :: a ~> c) = Either_Sym1 a6989586621679322752 :: TyFun (b ~> c) (Either a b ~> c) -> Type

data Either_Sym1 (a6989586621679322752 :: (~>) a c) :: (~>) ((~>) b c) ((~>) (Either a b) c) Source #

Instances

Instances details

SingI1 (Either_Sym1 :: (a ~> c) -> TyFun (b ~> c) (Either a b ~> c) -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (Either_Sym1 x)
SingI d => SingI (Either_Sym1 d :: TyFun (b ~> c) (Either a b ~> c) -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods sing :: Sing (Either_Sym1 d)
SuppressUnusedWarnings (Either_Sym1 a6989586621679322752 :: TyFun (b ~> c) (Either a b ~> c) -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Either_Sym1 a6989586621679322752 :: TyFun (b ~> c) (Either a b ~> c) -> Type) (a6989586621679322753 :: b ~> c) Source #
Instance details Defined in Data.Either.Singletons type Apply (Either_Sym1 a6989586621679322752 :: TyFun (b ~> c) (Either a b ~> c) -> Type) (a6989586621679322753 :: b ~> c) = Either_Sym2 a6989586621679322752 a6989586621679322753

data Either_Sym2 (a6989586621679322752 :: (~>) a c) (a6989586621679322753 :: (~>) b c) :: (~>) (Either a b) c Source #

Instances

Instances details

SingI2 (Either_Sym2 :: (a ~> c) -> (b ~> c) -> TyFun (Either a b) c -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Either_Sym2 x y)
SingI d => SingI1 (Either_Sym2 d :: (b ~> c) -> TyFun (Either a b) c -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (Either_Sym2 d x)
(SingI d1, SingI d2) => SingI (Either_Sym2 d1 d2 :: TyFun (Either a b) c -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods sing :: Sing (Either_Sym2 d1 d2)
SuppressUnusedWarnings (Either_Sym2 a6989586621679322752 a6989586621679322753 :: TyFun (Either a b) c -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Either_Sym2 a6989586621679322752 a6989586621679322753 :: TyFun (Either a b) c -> Type) (a6989586621679322754 :: Either a b) Source #
Instance details Defined in Data.Either.Singletons type Apply (Either_Sym2 a6989586621679322752 a6989586621679322753 :: TyFun (Either a b) c -> Type) (a6989586621679322754 :: Either a b) = Either_ a6989586621679322752 a6989586621679322753 a6989586621679322754

type family Either_Sym3 (a6989586621679322752 :: (~>) a c) (a6989586621679322753 :: (~>) b c) (a6989586621679322754 :: Either a b) :: c where ... Source #

Equations

Either_Sym3 a6989586621679322752 a6989586621679322753 a6989586621679322754 = Either_ a6989586621679322752 a6989586621679322753 a6989586621679322754

type family LTSym0 :: Ordering where ... Source #

Equations

LTSym0 = 'LT

type family EQSym0 :: Ordering where ... Source #

Equations

EQSym0 = 'EQ

type family GTSym0 :: Ordering where ... Source #

Equations

GTSym0 = 'GT

data (:@#@$) :: (~>) a ((~>) [a] [a :: Type]) infixr 5 Source #

Instances

Instances details

SingI ((:@#@$) :: TyFun a ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (:@#@$)
SuppressUnusedWarnings ((:@#@$) :: TyFun a ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply ((:@#@$) :: TyFun a ([a] ~> [a]) -> Type) (a6989586621679042108 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply ((:@#@$) :: TyFun a ([a] ~> [a]) -> Type) (a6989586621679042108 :: a) = (:@#@$$) a6989586621679042108

data (:@#@$$) (a6989586621679042108 :: a) :: (~>) [a] [a :: Type] infixr 5 Source #

Instances

Instances details

SingI1 ((:@#@$$) :: a -> TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing ((:@#@$$) x)
SingI d => SingI ((:@#@$$) d :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing ((:@#@$$) d)
SuppressUnusedWarnings ((:@#@$$) a6989586621679042108 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply ((:@#@$$) a6989586621679042108 :: TyFun [a] [a] -> Type) (a6989586621679042109 :: [a]) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply ((:@#@$$) a6989586621679042108 :: TyFun [a] [a] -> Type) (a6989586621679042109 :: [a]) = a6989586621679042108 ': a6989586621679042109

type family (a6989586621679042108 :: a) :@#@$$$ (a6989586621679042109 :: [a]) :: [a :: Type] where ... infixr 5 Source #

Equations

a6989586621679042108 :@#@$$$ a6989586621679042109 = '(:) a6989586621679042108 a6989586621679042109

type family NilSym0 :: [a :: Type] where ... Source #

Equations

NilSym0 = '[]

Tuples

type family Tuple0Sym0 :: () where ... Source #

Equations

Tuple0Sym0 = '()

data Tuple2Sym0 :: (~>) a ((~>) b (a :: Type, b :: Type)) Source #

Instances

Instances details

SingI (Tuple2Sym0 :: TyFun a (b ~> (a, b)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing Tuple2Sym0
SuppressUnusedWarnings (Tuple2Sym0 :: TyFun a (b ~> (a, b)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple2Sym0 :: TyFun a (b ~> (a, b)) -> Type) (a6989586621679042597 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple2Sym0 :: TyFun a (b ~> (a, b)) -> Type) (a6989586621679042597 :: a) = Tuple2Sym1 a6989586621679042597 :: TyFun b (a, b) -> Type

data Tuple2Sym1 (a6989586621679042597 :: a) :: (~>) b (a :: Type, b :: Type) Source #

Instances

Instances details

SingI1 (Tuple2Sym1 :: a -> TyFun b (a, b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple2Sym1 x)
SingI d => SingI (Tuple2Sym1 d :: TyFun b (a, b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple2Sym1 d)
SuppressUnusedWarnings (Tuple2Sym1 a6989586621679042597 :: TyFun b (a, b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple2Sym1 a6989586621679042597 :: TyFun k1 (k2, k1) -> Type) (a6989586621679042598 :: k1) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple2Sym1 a6989586621679042597 :: TyFun k1 (k2, k1) -> Type) (a6989586621679042598 :: k1) = '(a6989586621679042597, a6989586621679042598)

type family Tuple2Sym2 (a6989586621679042597 :: a) (a6989586621679042598 :: b) :: (a :: Type, b :: Type) where ... Source #

Equations

Tuple2Sym2 a6989586621679042597 a6989586621679042598 = '(a6989586621679042597, a6989586621679042598)

data Tuple3Sym0 :: (~>) a ((~>) b ((~>) c (a :: Type, b :: Type, c :: Type))) Source #

Instances

Instances details

SingI (Tuple3Sym0 :: TyFun a (b ~> (c ~> (a, b, c))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing Tuple3Sym0
SuppressUnusedWarnings (Tuple3Sym0 :: TyFun a (b ~> (c ~> (a, b, c))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple3Sym0 :: TyFun a (b ~> (c ~> (a, b, c))) -> Type) (a6989586621679042628 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple3Sym0 :: TyFun a (b ~> (c ~> (a, b, c))) -> Type) (a6989586621679042628 :: a) = Tuple3Sym1 a6989586621679042628 :: TyFun b (c ~> (a, b, c)) -> Type

data Tuple3Sym1 (a6989586621679042628 :: a) :: (~>) b ((~>) c (a :: Type, b :: Type, c :: Type)) Source #

Instances

Instances details

SingI1 (Tuple3Sym1 :: a -> TyFun b (c ~> (a, b, c)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple3Sym1 x)
SingI d => SingI (Tuple3Sym1 d :: TyFun b (c ~> (a, b, c)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple3Sym1 d)
SuppressUnusedWarnings (Tuple3Sym1 a6989586621679042628 :: TyFun b (c ~> (a, b, c)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple3Sym1 a6989586621679042628 :: TyFun b (c ~> (a, b, c)) -> Type) (a6989586621679042629 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple3Sym1 a6989586621679042628 :: TyFun b (c ~> (a, b, c)) -> Type) (a6989586621679042629 :: b) = Tuple3Sym2 a6989586621679042628 a6989586621679042629 :: TyFun c (a, b, c) -> Type

data Tuple3Sym2 (a6989586621679042628 :: a) (a6989586621679042629 :: b) :: (~>) c (a :: Type, b :: Type, c :: Type) Source #

Instances

Instances details

SingI2 (Tuple3Sym2 :: a -> b -> TyFun c (a, b, c) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple3Sym2 x y)
SingI d => SingI1 (Tuple3Sym2 d :: b -> TyFun c (a, b, c) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple3Sym2 d x)
(SingI d1, SingI d2) => SingI (Tuple3Sym2 d1 d2 :: TyFun c (a, b, c) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple3Sym2 d1 d2)
SuppressUnusedWarnings (Tuple3Sym2 a6989586621679042628 a6989586621679042629 :: TyFun c (a, b, c) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple3Sym2 a6989586621679042628 a6989586621679042629 :: TyFun k1 (k2, k3, k1) -> Type) (a6989586621679042630 :: k1) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple3Sym2 a6989586621679042628 a6989586621679042629 :: TyFun k1 (k2, k3, k1) -> Type) (a6989586621679042630 :: k1) = '(a6989586621679042628, a6989586621679042629, a6989586621679042630)

type family Tuple3Sym3 (a6989586621679042628 :: a) (a6989586621679042629 :: b) (a6989586621679042630 :: c) :: (a :: Type, b :: Type, c :: Type) where ... Source #

Equations

Tuple3Sym3 a6989586621679042628 a6989586621679042629 a6989586621679042630 = '(a6989586621679042628, a6989586621679042629, a6989586621679042630)

data Tuple4Sym0 :: (~>) a ((~>) b ((~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type)))) Source #

Instances

Instances details

SingI (Tuple4Sym0 :: TyFun a (b ~> (c ~> (d ~> (a, b, c, d)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing Tuple4Sym0
SuppressUnusedWarnings (Tuple4Sym0 :: TyFun a (b ~> (c ~> (d ~> (a, b, c, d)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple4Sym0 :: TyFun a (b ~> (c ~> (d ~> (a, b, c, d)))) -> Type) (a6989586621679042677 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple4Sym0 :: TyFun a (b ~> (c ~> (d ~> (a, b, c, d)))) -> Type) (a6989586621679042677 :: a) = Tuple4Sym1 a6989586621679042677 :: TyFun b (c ~> (d ~> (a, b, c, d))) -> Type

data Tuple4Sym1 (a6989586621679042677 :: a) :: (~>) b ((~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type))) Source #

Instances

Instances details

SingI1 (Tuple4Sym1 :: a -> TyFun b (c ~> (d ~> (a, b, c, d))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple4Sym1 x)
SingI d1 => SingI (Tuple4Sym1 d1 :: TyFun b (c ~> (d2 ~> (a, b, c, d2))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple4Sym1 d1)
SuppressUnusedWarnings (Tuple4Sym1 a6989586621679042677 :: TyFun b (c ~> (d ~> (a, b, c, d))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple4Sym1 a6989586621679042677 :: TyFun b (c ~> (d ~> (a, b, c, d))) -> Type) (a6989586621679042678 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple4Sym1 a6989586621679042677 :: TyFun b (c ~> (d ~> (a, b, c, d))) -> Type) (a6989586621679042678 :: b) = Tuple4Sym2 a6989586621679042677 a6989586621679042678 :: TyFun c (d ~> (a, b, c, d)) -> Type

data Tuple4Sym2 (a6989586621679042677 :: a) (a6989586621679042678 :: b) :: (~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type)) Source #

Instances

Instances details

SingI2 (Tuple4Sym2 :: a -> b -> TyFun c (d ~> (a, b, c, d)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple4Sym2 x y)
SingI d1 => SingI1 (Tuple4Sym2 d1 :: b -> TyFun c (d2 ~> (a, b, c, d2)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple4Sym2 d1 x)
(SingI d1, SingI d2) => SingI (Tuple4Sym2 d1 d2 :: TyFun c (d3 ~> (a, b, c, d3)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple4Sym2 d1 d2)
SuppressUnusedWarnings (Tuple4Sym2 a6989586621679042677 a6989586621679042678 :: TyFun c (d ~> (a, b, c, d)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple4Sym2 a6989586621679042677 a6989586621679042678 :: TyFun c (d ~> (a, b, c, d)) -> Type) (a6989586621679042679 :: c) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple4Sym2 a6989586621679042677 a6989586621679042678 :: TyFun c (d ~> (a, b, c, d)) -> Type) (a6989586621679042679 :: c) = Tuple4Sym3 a6989586621679042677 a6989586621679042678 a6989586621679042679 :: TyFun d (a, b, c, d) -> Type

data Tuple4Sym3 (a6989586621679042677 :: a) (a6989586621679042678 :: b) (a6989586621679042679 :: c) :: (~>) d (a :: Type, b :: Type, c :: Type, d :: Type) Source #

Instances

Instances details

SingI d1 => SingI2 (Tuple4Sym3 d1 :: b -> c -> TyFun d2 (a, b, c, d2) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple4Sym3 d1 x y)
(SingI d1, SingI d2) => SingI1 (Tuple4Sym3 d1 d2 :: c -> TyFun d3 (a, b, c, d3) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple4Sym3 d1 d2 x)
(SingI d1, SingI d2, SingI d3) => SingI (Tuple4Sym3 d1 d2 d3 :: TyFun d4 (a, b, c, d4) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple4Sym3 d1 d2 d3)
SuppressUnusedWarnings (Tuple4Sym3 a6989586621679042677 a6989586621679042678 a6989586621679042679 :: TyFun d (a, b, c, d) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple4Sym3 a6989586621679042677 a6989586621679042678 a6989586621679042679 :: TyFun k1 (k2, k3, k4, k1) -> Type) (a6989586621679042680 :: k1) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple4Sym3 a6989586621679042677 a6989586621679042678 a6989586621679042679 :: TyFun k1 (k2, k3, k4, k1) -> Type) (a6989586621679042680 :: k1) = '(a6989586621679042677, a6989586621679042678, a6989586621679042679, a6989586621679042680)

type family Tuple4Sym4 (a6989586621679042677 :: a) (a6989586621679042678 :: b) (a6989586621679042679 :: c) (a6989586621679042680 :: d) :: (a :: Type, b :: Type, c :: Type, d :: Type) where ... Source #

Equations

Tuple4Sym4 a6989586621679042677 a6989586621679042678 a6989586621679042679 a6989586621679042680 = '(a6989586621679042677, a6989586621679042678, a6989586621679042679, a6989586621679042680)

data Tuple5Sym0 :: (~>) a ((~>) b ((~>) c ((~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type))))) Source #

Instances

Instances details

SingI (Tuple5Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (a, b, c, d, e))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing Tuple5Sym0
SuppressUnusedWarnings (Tuple5Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (a, b, c, d, e))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple5Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (a, b, c, d, e))))) -> Type) (a6989586621679042746 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple5Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (a, b, c, d, e))))) -> Type) (a6989586621679042746 :: a) = Tuple5Sym1 a6989586621679042746 :: TyFun b (c ~> (d ~> (e ~> (a, b, c, d, e)))) -> Type

data Tuple5Sym1 (a6989586621679042746 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type)))) Source #

Instances

Instances details

SingI1 (Tuple5Sym1 :: a -> TyFun b (c ~> (d ~> (e ~> (a, b, c, d, e)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple5Sym1 x)
SingI d1 => SingI (Tuple5Sym1 d1 :: TyFun b (c ~> (d2 ~> (e ~> (a, b, c, d2, e)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple5Sym1 d1)
SuppressUnusedWarnings (Tuple5Sym1 a6989586621679042746 :: TyFun b (c ~> (d ~> (e ~> (a, b, c, d, e)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple5Sym1 a6989586621679042746 :: TyFun b (c ~> (d ~> (e ~> (a, b, c, d, e)))) -> Type) (a6989586621679042747 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple5Sym1 a6989586621679042746 :: TyFun b (c ~> (d ~> (e ~> (a, b, c, d, e)))) -> Type) (a6989586621679042747 :: b) = Tuple5Sym2 a6989586621679042746 a6989586621679042747 :: TyFun c (d ~> (e ~> (a, b, c, d, e))) -> Type

data Tuple5Sym2 (a6989586621679042746 :: a) (a6989586621679042747 :: b) :: (~>) c ((~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type))) Source #

Instances

Instances details

SingI2 (Tuple5Sym2 :: a -> b -> TyFun c (d ~> (e ~> (a, b, c, d, e))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple5Sym2 x y)
SingI d1 => SingI1 (Tuple5Sym2 d1 :: b -> TyFun c (d2 ~> (e ~> (a, b, c, d2, e))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple5Sym2 d1 x)
(SingI d1, SingI d2) => SingI (Tuple5Sym2 d1 d2 :: TyFun c (d3 ~> (e ~> (a, b, c, d3, e))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple5Sym2 d1 d2)
SuppressUnusedWarnings (Tuple5Sym2 a6989586621679042746 a6989586621679042747 :: TyFun c (d ~> (e ~> (a, b, c, d, e))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple5Sym2 a6989586621679042746 a6989586621679042747 :: TyFun c (d ~> (e ~> (a, b, c, d, e))) -> Type) (a6989586621679042748 :: c) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple5Sym2 a6989586621679042746 a6989586621679042747 :: TyFun c (d ~> (e ~> (a, b, c, d, e))) -> Type) (a6989586621679042748 :: c) = Tuple5Sym3 a6989586621679042746 a6989586621679042747 a6989586621679042748 :: TyFun d (e ~> (a, b, c, d, e)) -> Type

data Tuple5Sym3 (a6989586621679042746 :: a) (a6989586621679042747 :: b) (a6989586621679042748 :: c) :: (~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type)) Source #

Instances

Instances details

SingI d1 => SingI2 (Tuple5Sym3 d1 :: b -> c -> TyFun d2 (e ~> (a, b, c, d2, e)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple5Sym3 d1 x y)
(SingI d1, SingI d2) => SingI1 (Tuple5Sym3 d1 d2 :: c -> TyFun d3 (e ~> (a, b, c, d3, e)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple5Sym3 d1 d2 x)
(SingI d1, SingI d2, SingI d3) => SingI (Tuple5Sym3 d1 d2 d3 :: TyFun d4 (e ~> (a, b, c, d4, e)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple5Sym3 d1 d2 d3)
SuppressUnusedWarnings (Tuple5Sym3 a6989586621679042746 a6989586621679042747 a6989586621679042748 :: TyFun d (e ~> (a, b, c, d, e)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple5Sym3 a6989586621679042746 a6989586621679042747 a6989586621679042748 :: TyFun d (e ~> (a, b, c, d, e)) -> Type) (a6989586621679042749 :: d) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple5Sym3 a6989586621679042746 a6989586621679042747 a6989586621679042748 :: TyFun d (e ~> (a, b, c, d, e)) -> Type) (a6989586621679042749 :: d) = Tuple5Sym4 a6989586621679042746 a6989586621679042747 a6989586621679042748 a6989586621679042749 :: TyFun e (a, b, c, d, e) -> Type

data Tuple5Sym4 (a6989586621679042746 :: a) (a6989586621679042747 :: b) (a6989586621679042748 :: c) (a6989586621679042749 :: d) :: (~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type) Source #

Instances

Instances details

(SingI d1, SingI d2) => SingI2 (Tuple5Sym4 d1 d2 :: c -> d3 -> TyFun e (a, b, c, d3, e) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple5Sym4 d1 d2 x y)
(SingI d1, SingI d2, SingI d3) => SingI1 (Tuple5Sym4 d1 d2 d3 :: d4 -> TyFun e (a, b, c, d4, e) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple5Sym4 d1 d2 d3 x)
(SingI d1, SingI d2, SingI d3, SingI d5) => SingI (Tuple5Sym4 d1 d2 d3 d5 :: TyFun e (a, b, c, d4, e) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple5Sym4 d1 d2 d3 d5)
SuppressUnusedWarnings (Tuple5Sym4 a6989586621679042746 a6989586621679042747 a6989586621679042748 a6989586621679042749 :: TyFun e (a, b, c, d, e) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple5Sym4 a6989586621679042746 a6989586621679042747 a6989586621679042748 a6989586621679042749 :: TyFun k1 (k2, k3, k4, k5, k1) -> Type) (a6989586621679042750 :: k1) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple5Sym4 a6989586621679042746 a6989586621679042747 a6989586621679042748 a6989586621679042749 :: TyFun k1 (k2, k3, k4, k5, k1) -> Type) (a6989586621679042750 :: k1) = '(a6989586621679042746, a6989586621679042747, a6989586621679042748, a6989586621679042749, a6989586621679042750)

type family Tuple5Sym5 (a6989586621679042746 :: a) (a6989586621679042747 :: b) (a6989586621679042748 :: c) (a6989586621679042749 :: d) (a6989586621679042750 :: e) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type) where ... Source #

Equations

Tuple5Sym5 a6989586621679042746 a6989586621679042747 a6989586621679042748 a6989586621679042749 a6989586621679042750 = '(a6989586621679042746, a6989586621679042747, a6989586621679042748, a6989586621679042749, a6989586621679042750)

data Tuple6Sym0 :: (~>) a ((~>) b ((~>) c ((~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)))))) Source #

Instances

Instances details

SingI (Tuple6Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f)))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing Tuple6Sym0
SuppressUnusedWarnings (Tuple6Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f)))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple6Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f)))))) -> Type) (a6989586621679042837 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f)))))) -> Type) (a6989586621679042837 :: a) = Tuple6Sym1 a6989586621679042837 :: TyFun b (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f))))) -> Type

data Tuple6Sym1 (a6989586621679042837 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))))) Source #

Instances

Instances details

SingI1 (Tuple6Sym1 :: a -> TyFun b (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple6Sym1 x)
SingI d1 => SingI (Tuple6Sym1 d1 :: TyFun b (c ~> (d2 ~> (e ~> (f ~> (a, b, c, d2, e, f))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple6Sym1 d1)
SuppressUnusedWarnings (Tuple6Sym1 a6989586621679042837 :: TyFun b (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple6Sym1 a6989586621679042837 :: TyFun b (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f))))) -> Type) (a6989586621679042838 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym1 a6989586621679042837 :: TyFun b (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f))))) -> Type) (a6989586621679042838 :: b) = Tuple6Sym2 a6989586621679042837 a6989586621679042838 :: TyFun c (d ~> (e ~> (f ~> (a, b, c, d, e, f)))) -> Type

data Tuple6Sym2 (a6989586621679042837 :: a) (a6989586621679042838 :: b) :: (~>) c ((~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)))) Source #

Instances

Instances details

SingI2 (Tuple6Sym2 :: a -> b -> TyFun c (d ~> (e ~> (f ~> (a, b, c, d, e, f)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple6Sym2 x y)
SingI d1 => SingI1 (Tuple6Sym2 d1 :: b -> TyFun c (d2 ~> (e ~> (f ~> (a, b, c, d2, e, f)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple6Sym2 d1 x)
(SingI d1, SingI d2) => SingI (Tuple6Sym2 d1 d2 :: TyFun c (d3 ~> (e ~> (f ~> (a, b, c, d3, e, f)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple6Sym2 d1 d2)
SuppressUnusedWarnings (Tuple6Sym2 a6989586621679042837 a6989586621679042838 :: TyFun c (d ~> (e ~> (f ~> (a, b, c, d, e, f)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple6Sym2 a6989586621679042837 a6989586621679042838 :: TyFun c (d ~> (e ~> (f ~> (a, b, c, d, e, f)))) -> Type) (a6989586621679042839 :: c) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym2 a6989586621679042837 a6989586621679042838 :: TyFun c (d ~> (e ~> (f ~> (a, b, c, d, e, f)))) -> Type) (a6989586621679042839 :: c) = Tuple6Sym3 a6989586621679042837 a6989586621679042838 a6989586621679042839 :: TyFun d (e ~> (f ~> (a, b, c, d, e, f))) -> Type

data Tuple6Sym3 (a6989586621679042837 :: a) (a6989586621679042838 :: b) (a6989586621679042839 :: c) :: (~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))) Source #

Instances

Instances details

SingI d1 => SingI2 (Tuple6Sym3 d1 :: b -> c -> TyFun d2 (e ~> (f ~> (a, b, c, d2, e, f))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple6Sym3 d1 x y)
(SingI d1, SingI d2) => SingI1 (Tuple6Sym3 d1 d2 :: c -> TyFun d3 (e ~> (f ~> (a, b, c, d3, e, f))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple6Sym3 d1 d2 x)
(SingI d1, SingI d2, SingI d3) => SingI (Tuple6Sym3 d1 d2 d3 :: TyFun d4 (e ~> (f ~> (a, b, c, d4, e, f))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple6Sym3 d1 d2 d3)
SuppressUnusedWarnings (Tuple6Sym3 a6989586621679042837 a6989586621679042838 a6989586621679042839 :: TyFun d (e ~> (f ~> (a, b, c, d, e, f))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple6Sym3 a6989586621679042837 a6989586621679042838 a6989586621679042839 :: TyFun d (e ~> (f ~> (a, b, c, d, e, f))) -> Type) (a6989586621679042840 :: d) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym3 a6989586621679042837 a6989586621679042838 a6989586621679042839 :: TyFun d (e ~> (f ~> (a, b, c, d, e, f))) -> Type) (a6989586621679042840 :: d) = Tuple6Sym4 a6989586621679042837 a6989586621679042838 a6989586621679042839 a6989586621679042840 :: TyFun e (f ~> (a, b, c, d, e, f)) -> Type

data Tuple6Sym4 (a6989586621679042837 :: a) (a6989586621679042838 :: b) (a6989586621679042839 :: c) (a6989586621679042840 :: d) :: (~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)) Source #

Instances

Instances details

(SingI d1, SingI d2) => SingI2 (Tuple6Sym4 d1 d2 :: c -> d3 -> TyFun e (f ~> (a, b, c, d3, e, f)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple6Sym4 d1 d2 x y)
(SingI d1, SingI d2, SingI d3) => SingI1 (Tuple6Sym4 d1 d2 d3 :: d4 -> TyFun e (f ~> (a, b, c, d4, e, f)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple6Sym4 d1 d2 d3 x)
(SingI d1, SingI d2, SingI d3, SingI d5) => SingI (Tuple6Sym4 d1 d2 d3 d5 :: TyFun e (f ~> (a, b, c, d4, e, f)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple6Sym4 d1 d2 d3 d5)
SuppressUnusedWarnings (Tuple6Sym4 a6989586621679042837 a6989586621679042838 a6989586621679042839 a6989586621679042840 :: TyFun e (f ~> (a, b, c, d, e, f)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple6Sym4 a6989586621679042837 a6989586621679042838 a6989586621679042839 a6989586621679042840 :: TyFun e (f ~> (a, b, c, d, e, f)) -> Type) (a6989586621679042841 :: e) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym4 a6989586621679042837 a6989586621679042838 a6989586621679042839 a6989586621679042840 :: TyFun e (f ~> (a, b, c, d, e, f)) -> Type) (a6989586621679042841 :: e) = Tuple6Sym5 a6989586621679042837 a6989586621679042838 a6989586621679042839 a6989586621679042840 a6989586621679042841 :: TyFun f (a, b, c, d, e, f) -> Type

data Tuple6Sym5 (a6989586621679042837 :: a) (a6989586621679042838 :: b) (a6989586621679042839 :: c) (a6989586621679042840 :: d) (a6989586621679042841 :: e) :: (~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type) Source #

Instances

Instances details

(SingI d1, SingI d2, SingI d3) => SingI2 (Tuple6Sym5 d1 d2 d3 :: d4 -> e -> TyFun f (a, b, c, d4, e, f) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple6Sym5 d1 d2 d3 x y)
(SingI d1, SingI d2, SingI d3, SingI d5) => SingI1 (Tuple6Sym5 d1 d2 d3 d5 :: e -> TyFun f (a, b, c, d4, e, f) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple6Sym5 d1 d2 d3 d5 x)
(SingI d1, SingI d2, SingI d3, SingI d5, SingI d6) => SingI (Tuple6Sym5 d1 d2 d3 d5 d6 :: TyFun f (a, b, c, d4, e, f) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple6Sym5 d1 d2 d3 d5 d6)
SuppressUnusedWarnings (Tuple6Sym5 a6989586621679042837 a6989586621679042838 a6989586621679042839 a6989586621679042840 a6989586621679042841 :: TyFun f (a, b, c, d, e, f) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple6Sym5 a6989586621679042837 a6989586621679042838 a6989586621679042839 a6989586621679042840 a6989586621679042841 :: TyFun k1 (k2, k3, k4, k5, k6, k1) -> Type) (a6989586621679042842 :: k1) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym5 a6989586621679042837 a6989586621679042838 a6989586621679042839 a6989586621679042840 a6989586621679042841 :: TyFun k1 (k2, k3, k4, k5, k6, k1) -> Type) (a6989586621679042842 :: k1) = '(a6989586621679042837, a6989586621679042838, a6989586621679042839, a6989586621679042840, a6989586621679042841, a6989586621679042842)

type family Tuple6Sym6 (a6989586621679042837 :: a) (a6989586621679042838 :: b) (a6989586621679042839 :: c) (a6989586621679042840 :: d) (a6989586621679042841 :: e) (a6989586621679042842 :: f) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type) where ... Source #

Equations

Tuple6Sym6 a6989586621679042837 a6989586621679042838 a6989586621679042839 a6989586621679042840 a6989586621679042841 a6989586621679042842 = '(a6989586621679042837, a6989586621679042838, a6989586621679042839, a6989586621679042840, a6989586621679042841, a6989586621679042842)

data Tuple7Sym0 :: (~>) a ((~>) b ((~>) c ((~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))))))) Source #

Instances

Instances details

SingI (Tuple7Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing Tuple7Sym0
SuppressUnusedWarnings (Tuple7Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple7Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))))) -> Type) (a6989586621679042952 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))))) -> Type) (a6989586621679042952 :: a) = Tuple7Sym1 a6989586621679042952 :: TyFun b (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))))) -> Type

data Tuple7Sym1 (a6989586621679042952 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)))))) Source #

Instances

Instances details

SingI1 (Tuple7Sym1 :: a -> TyFun b (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple7Sym1 x)
SingI d1 => SingI (Tuple7Sym1 d1 :: TyFun b (c ~> (d2 ~> (e ~> (f ~> (g ~> (a, b, c, d2, e, f, g)))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple7Sym1 d1)
SuppressUnusedWarnings (Tuple7Sym1 a6989586621679042952 :: TyFun b (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple7Sym1 a6989586621679042952 :: TyFun b (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))))) -> Type) (a6989586621679042953 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym1 a6989586621679042952 :: TyFun b (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))))) -> Type) (a6989586621679042953 :: b) = Tuple7Sym2 a6989586621679042952 a6989586621679042953 :: TyFun c (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))) -> Type

data Tuple7Sym2 (a6989586621679042952 :: a) (a6989586621679042953 :: b) :: (~>) c ((~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))))) Source #

Instances

Instances details

SingI2 (Tuple7Sym2 :: a -> b -> TyFun c (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple7Sym2 x y)
SingI d1 => SingI1 (Tuple7Sym2 d1 :: b -> TyFun c (d2 ~> (e ~> (f ~> (g ~> (a, b, c, d2, e, f, g))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple7Sym2 d1 x)
(SingI d1, SingI d2) => SingI (Tuple7Sym2 d1 d2 :: TyFun c (d3 ~> (e ~> (f ~> (g ~> (a, b, c, d3, e, f, g))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple7Sym2 d1 d2)
SuppressUnusedWarnings (Tuple7Sym2 a6989586621679042952 a6989586621679042953 :: TyFun c (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple7Sym2 a6989586621679042952 a6989586621679042953 :: TyFun c (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))) -> Type) (a6989586621679042954 :: c) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym2 a6989586621679042952 a6989586621679042953 :: TyFun c (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))) -> Type) (a6989586621679042954 :: c) = Tuple7Sym3 a6989586621679042952 a6989586621679042953 a6989586621679042954 :: TyFun d (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))) -> Type

data Tuple7Sym3 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) :: (~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)))) Source #

Instances

Instances details

SingI d1 => SingI2 (Tuple7Sym3 d1 :: b -> c -> TyFun d2 (e ~> (f ~> (g ~> (a, b, c, d2, e, f, g)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple7Sym3 d1 x y)
(SingI d1, SingI d2) => SingI1 (Tuple7Sym3 d1 d2 :: c -> TyFun d3 (e ~> (f ~> (g ~> (a, b, c, d3, e, f, g)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple7Sym3 d1 d2 x)
(SingI d1, SingI d2, SingI d3) => SingI (Tuple7Sym3 d1 d2 d3 :: TyFun d4 (e ~> (f ~> (g ~> (a, b, c, d4, e, f, g)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple7Sym3 d1 d2 d3)
SuppressUnusedWarnings (Tuple7Sym3 a6989586621679042952 a6989586621679042953 a6989586621679042954 :: TyFun d (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple7Sym3 a6989586621679042952 a6989586621679042953 a6989586621679042954 :: TyFun d (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))) -> Type) (a6989586621679042955 :: d) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym3 a6989586621679042952 a6989586621679042953 a6989586621679042954 :: TyFun d (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))) -> Type) (a6989586621679042955 :: d) = Tuple7Sym4 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 :: TyFun e (f ~> (g ~> (a, b, c, d, e, f, g))) -> Type

data Tuple7Sym4 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) (a6989586621679042955 :: d) :: (~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))) Source #

Instances

Instances details

(SingI d1, SingI d2) => SingI2 (Tuple7Sym4 d1 d2 :: c -> d3 -> TyFun e (f ~> (g ~> (a, b, c, d3, e, f, g))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple7Sym4 d1 d2 x y)
(SingI d1, SingI d2, SingI d3) => SingI1 (Tuple7Sym4 d1 d2 d3 :: d4 -> TyFun e (f ~> (g ~> (a, b, c, d4, e, f, g))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple7Sym4 d1 d2 d3 x)
(SingI d1, SingI d2, SingI d3, SingI d5) => SingI (Tuple7Sym4 d1 d2 d3 d5 :: TyFun e (f ~> (g ~> (a, b, c, d4, e, f, g))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple7Sym4 d1 d2 d3 d5)
SuppressUnusedWarnings (Tuple7Sym4 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 :: TyFun e (f ~> (g ~> (a, b, c, d, e, f, g))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple7Sym4 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 :: TyFun e (f ~> (g ~> (a, b, c, d, e, f, g))) -> Type) (a6989586621679042956 :: e) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym4 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 :: TyFun e (f ~> (g ~> (a, b, c, d, e, f, g))) -> Type) (a6989586621679042956 :: e) = Tuple7Sym5 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 a6989586621679042956 :: TyFun f (g ~> (a, b, c, d, e, f, g)) -> Type

data Tuple7Sym5 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) (a6989586621679042955 :: d) (a6989586621679042956 :: e) :: (~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)) Source #

Instances

Instances details

(SingI d1, SingI d2, SingI d3) => SingI2 (Tuple7Sym5 d1 d2 d3 :: d4 -> e -> TyFun f (g ~> (a, b, c, d4, e, f, g)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple7Sym5 d1 d2 d3 x y)
(SingI d1, SingI d2, SingI d3, SingI d5) => SingI1 (Tuple7Sym5 d1 d2 d3 d5 :: e -> TyFun f (g ~> (a, b, c, d4, e, f, g)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple7Sym5 d1 d2 d3 d5 x)
(SingI d1, SingI d2, SingI d3, SingI d5, SingI d6) => SingI (Tuple7Sym5 d1 d2 d3 d5 d6 :: TyFun f (g ~> (a, b, c, d4, e, f, g)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple7Sym5 d1 d2 d3 d5 d6)
SuppressUnusedWarnings (Tuple7Sym5 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 a6989586621679042956 :: TyFun f (g ~> (a, b, c, d, e, f, g)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple7Sym5 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 a6989586621679042956 :: TyFun f (g ~> (a, b, c, d, e, f, g)) -> Type) (a6989586621679042957 :: f) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym5 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 a6989586621679042956 :: TyFun f (g ~> (a, b, c, d, e, f, g)) -> Type) (a6989586621679042957 :: f) = Tuple7Sym6 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 a6989586621679042956 a6989586621679042957 :: TyFun g (a, b, c, d, e, f, g) -> Type

data Tuple7Sym6 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) (a6989586621679042955 :: d) (a6989586621679042956 :: e) (a6989586621679042957 :: f) :: (~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type) Source #

Instances

Instances details

(SingI d1, SingI d2, SingI d3, SingI d5) => SingI2 (Tuple7Sym6 d1 d2 d3 d5 :: e -> f -> TyFun g (a, b, c, d4, e, f, g) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple7Sym6 d1 d2 d3 d5 x y)
(SingI d1, SingI d2, SingI d3, SingI d5, SingI d6) => SingI1 (Tuple7Sym6 d1 d2 d3 d5 d6 :: f -> TyFun g (a, b, c, d4, e, f, g) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple7Sym6 d1 d2 d3 d5 d6 x)
(SingI d1, SingI d2, SingI d3, SingI d5, SingI d6, SingI d7) => SingI (Tuple7Sym6 d1 d2 d3 d5 d6 d7 :: TyFun g (a, b, c, d4, e, f, g) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple7Sym6 d1 d2 d3 d5 d6 d7)
SuppressUnusedWarnings (Tuple7Sym6 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 a6989586621679042956 a6989586621679042957 :: TyFun g (a, b, c, d, e, f, g) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple7Sym6 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 a6989586621679042956 a6989586621679042957 :: TyFun k1 (k2, k3, k4, k5, k6, k7, k1) -> Type) (a6989586621679042958 :: k1) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym6 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 a6989586621679042956 a6989586621679042957 :: TyFun k1 (k2, k3, k4, k5, k6, k7, k1) -> Type) (a6989586621679042958 :: k1) = '(a6989586621679042952, a6989586621679042953, a6989586621679042954, a6989586621679042955, a6989586621679042956, a6989586621679042957, a6989586621679042958)

type family Tuple7Sym7 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) (a6989586621679042955 :: d) (a6989586621679042956 :: e) (a6989586621679042957 :: f) (a6989586621679042958 :: g) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type) where ... Source #

Equations

Tuple7Sym7 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 a6989586621679042956 a6989586621679042957 a6989586621679042958 = '(a6989586621679042952, a6989586621679042953, a6989586621679042954, a6989586621679042955, a6989586621679042956, a6989586621679042957, a6989586621679042958)

data FstSym0 :: (~>) (a, b) a Source #

Instances

Instances details

SingI (FstSym0 :: TyFun (a, b) a -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods sing :: Sing FstSym0
SuppressUnusedWarnings (FstSym0 :: TyFun (a, b) a -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FstSym0 :: TyFun (a, b) a -> Type) (a6989586621679279992 :: (a, b)) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (FstSym0 :: TyFun (a, b) a -> Type) (a6989586621679279992 :: (a, b)) = Fst a6989586621679279992

type family FstSym1 (a6989586621679279992 :: (a, b)) :: a where ... Source #

Equations

FstSym1 a6989586621679279992 = Fst a6989586621679279992

data SndSym0 :: (~>) (a, b) b Source #

Instances

Instances details

SingI (SndSym0 :: TyFun (a, b) b -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods sing :: Sing SndSym0
SuppressUnusedWarnings (SndSym0 :: TyFun (a, b) b -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (SndSym0 :: TyFun (a, b) b -> Type) (a6989586621679279988 :: (a, b)) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (SndSym0 :: TyFun (a, b) b -> Type) (a6989586621679279988 :: (a, b)) = Snd a6989586621679279988

type family SndSym1 (a6989586621679279988 :: (a, b)) :: b where ... Source #

Equations

SndSym1 a6989586621679279988 = Snd a6989586621679279988

data CurrySym0 :: (~>) ((~>) (a, b) c) ((~>) a ((~>) b c)) Source #

Instances

Instances details

SingI (CurrySym0 :: TyFun ((a, b) ~> c) (a ~> (b ~> c)) -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods sing :: Sing CurrySym0
SuppressUnusedWarnings (CurrySym0 :: TyFun ((a, b) ~> c) (a ~> (b ~> c)) -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (CurrySym0 :: TyFun ((a, b) ~> c) (a ~> (b ~> c)) -> Type) (a6989586621679279980 :: (a, b) ~> c) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (CurrySym0 :: TyFun ((a, b) ~> c) (a ~> (b ~> c)) -> Type) (a6989586621679279980 :: (a, b) ~> c) = CurrySym1 a6989586621679279980

data CurrySym1 (a6989586621679279980 :: (~>) (a, b) c) :: (~>) a ((~>) b c) Source #

Instances

Instances details

SingI1 (CurrySym1 :: ((a, b) ~> c) -> TyFun a (b ~> c) -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (CurrySym1 x)
SingI d => SingI (CurrySym1 d :: TyFun a (b ~> c) -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods sing :: Sing (CurrySym1 d)
SuppressUnusedWarnings (CurrySym1 a6989586621679279980 :: TyFun a (b ~> c) -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (CurrySym1 a6989586621679279980 :: TyFun a (b ~> c) -> Type) (a6989586621679279981 :: a) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (CurrySym1 a6989586621679279980 :: TyFun a (b ~> c) -> Type) (a6989586621679279981 :: a) = CurrySym2 a6989586621679279980 a6989586621679279981

data CurrySym2 (a6989586621679279980 :: (~>) (a, b) c) (a6989586621679279981 :: a) :: (~>) b c Source #

Instances

Instances details

SingI d => SingI1 (CurrySym2 d :: a -> TyFun b c -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (CurrySym2 d x)
SingI2 (CurrySym2 :: ((a, b) ~> c) -> a -> TyFun b c -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (CurrySym2 x y)
(SingI d1, SingI d2) => SingI (CurrySym2 d1 d2 :: TyFun b c -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods sing :: Sing (CurrySym2 d1 d2)
SuppressUnusedWarnings (CurrySym2 a6989586621679279980 a6989586621679279981 :: TyFun b c -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (CurrySym2 a6989586621679279980 a6989586621679279981 :: TyFun b c -> Type) (a6989586621679279982 :: b) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (CurrySym2 a6989586621679279980 a6989586621679279981 :: TyFun b c -> Type) (a6989586621679279982 :: b) = Curry a6989586621679279980 a6989586621679279981 a6989586621679279982

type family CurrySym3 (a6989586621679279980 :: (~>) (a, b) c) (a6989586621679279981 :: a) (a6989586621679279982 :: b) :: c where ... Source #

Equations

CurrySym3 a6989586621679279980 a6989586621679279981 a6989586621679279982 = Curry a6989586621679279980 a6989586621679279981 a6989586621679279982

data UncurrySym0 :: (~>) ((~>) a ((~>) b c)) ((~>) (a, b) c) Source #

Instances

Instances details

SingI (UncurrySym0 :: TyFun (a ~> (b ~> c)) ((a, b) ~> c) -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods sing :: Sing UncurrySym0
SuppressUnusedWarnings (UncurrySym0 :: TyFun (a ~> (b ~> c)) ((a, b) ~> c) -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (UncurrySym0 :: TyFun (a ~> (b ~> c)) ((a, b) ~> c) -> Type) (a6989586621679279972 :: a ~> (b ~> c)) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (UncurrySym0 :: TyFun (a ~> (b ~> c)) ((a, b) ~> c) -> Type) (a6989586621679279972 :: a ~> (b ~> c)) = UncurrySym1 a6989586621679279972

data UncurrySym1 (a6989586621679279972 :: (~>) a ((~>) b c)) :: (~>) (a, b) c Source #

Instances

Instances details

SingI1 (UncurrySym1 :: (a ~> (b ~> c)) -> TyFun (a, b) c -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (UncurrySym1 x)
SingI d => SingI (UncurrySym1 d :: TyFun (a, b) c -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods sing :: Sing (UncurrySym1 d)
SuppressUnusedWarnings (UncurrySym1 a6989586621679279972 :: TyFun (a, b) c -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (UncurrySym1 a6989586621679279972 :: TyFun (a, b) c -> Type) (a6989586621679279973 :: (a, b)) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (UncurrySym1 a6989586621679279972 :: TyFun (a, b) c -> Type) (a6989586621679279973 :: (a, b)) = Uncurry a6989586621679279972 a6989586621679279973

type family UncurrySym2 (a6989586621679279972 :: (~>) a ((~>) b c)) (a6989586621679279973 :: (a, b)) :: c where ... Source #

Equations

UncurrySym2 a6989586621679279972 a6989586621679279973 = Uncurry a6989586621679279972 a6989586621679279973

Basic type classes

data (==@#@$) :: (~>) a ((~>) a Bool) infix 4 Source #

Instances

Instances details

SEq a => SingI ((==@#@$) :: TyFun a (a ~> Bool) -> Type) Source #
Instance details Defined in Data.Eq.Singletons Methods sing :: Sing (==@#@$)
SuppressUnusedWarnings ((==@#@$) :: TyFun a (a ~> Bool) -> Type) Source #
Instance details Defined in Data.Eq.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((==@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679146321 :: a) Source #
Instance details Defined in Data.Eq.Singletons type Apply ((==@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679146321 :: a) = (==@#@$$) a6989586621679146321

data (==@#@$$) (a6989586621679146321 :: a) :: (~>) a Bool infix 4 Source #

Instances

Instances details

SEq a => SingI1 ((==@#@$$) :: a -> TyFun a Bool -> Type) Source #
Instance details Defined in Data.Eq.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing ((==@#@$$) x)
(SEq a, SingI d) => SingI ((==@#@$$) d :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Eq.Singletons Methods sing :: Sing ((==@#@$$) d)
SuppressUnusedWarnings ((==@#@$$) a6989586621679146321 :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Eq.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((==@#@$$) a6989586621679146321 :: TyFun a Bool -> Type) (a6989586621679146322 :: a) Source #
Instance details Defined in Data.Eq.Singletons type Apply ((==@#@$$) a6989586621679146321 :: TyFun a Bool -> Type) (a6989586621679146322 :: a) = a6989586621679146321 == a6989586621679146322

type family (a6989586621679146321 :: a) ==@#@$$$ (a6989586621679146322 :: a) :: Bool where ... infix 4 Source #

Equations

a6989586621679146321 ==@#@$$$ a6989586621679146322 = (==) a6989586621679146321 a6989586621679146322

data (/=@#@$) :: (~>) a ((~>) a Bool) infix 4 Source #

Instances

Instances details

SEq a => SingI ((/=@#@$) :: TyFun a (a ~> Bool) -> Type) Source #
Instance details Defined in Data.Eq.Singletons Methods sing :: Sing (/=@#@$)
SuppressUnusedWarnings ((/=@#@$) :: TyFun a (a ~> Bool) -> Type) Source #
Instance details Defined in Data.Eq.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((/=@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679146326 :: a) Source #
Instance details Defined in Data.Eq.Singletons type Apply ((/=@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679146326 :: a) = (/=@#@$$) a6989586621679146326

data (/=@#@$$) (a6989586621679146326 :: a) :: (~>) a Bool infix 4 Source #

Instances

Instances details

SEq a => SingI1 ((/=@#@$$) :: a -> TyFun a Bool -> Type) Source #
Instance details Defined in Data.Eq.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing ((/=@#@$$) x)
(SEq a, SingI d) => SingI ((/=@#@$$) d :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Eq.Singletons Methods sing :: Sing ((/=@#@$$) d)
SuppressUnusedWarnings ((/=@#@$$) a6989586621679146326 :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Eq.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((/=@#@$$) a6989586621679146326 :: TyFun a Bool -> Type) (a6989586621679146327 :: a) Source #
Instance details Defined in Data.Eq.Singletons type Apply ((/=@#@$$) a6989586621679146326 :: TyFun a Bool -> Type) (a6989586621679146327 :: a) = a6989586621679146326 /= a6989586621679146327

type family (a6989586621679146326 :: a) /=@#@$$$ (a6989586621679146327 :: a) :: Bool where ... infix 4 Source #

Equations

a6989586621679146326 /=@#@$$$ a6989586621679146327 = (/=) a6989586621679146326 a6989586621679146327

data CompareSym0 :: (~>) a ((~>) a Ordering) Source #

Instances

Instances details

SOrd a => SingI (CompareSym0 :: TyFun a (a ~> Ordering) -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods sing :: Sing CompareSym0
SuppressUnusedWarnings (CompareSym0 :: TyFun a (a ~> Ordering) -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply (CompareSym0 :: TyFun a (a ~> Ordering) -> Type) (a6989586621679185012 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply (CompareSym0 :: TyFun a (a ~> Ordering) -> Type) (a6989586621679185012 :: a) = CompareSym1 a6989586621679185012

data CompareSym1 (a6989586621679185012 :: a) :: (~>) a Ordering Source #

Instances

Instances details

SOrd a => SingI1 (CompareSym1 :: a -> TyFun a Ordering -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (CompareSym1 x)
(SOrd a, SingI d) => SingI (CompareSym1 d :: TyFun a Ordering -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods sing :: Sing (CompareSym1 d)
SuppressUnusedWarnings (CompareSym1 a6989586621679185012 :: TyFun a Ordering -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply (CompareSym1 a6989586621679185012 :: TyFun a Ordering -> Type) (a6989586621679185013 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply (CompareSym1 a6989586621679185012 :: TyFun a Ordering -> Type) (a6989586621679185013 :: a) = Compare a6989586621679185012 a6989586621679185013

type family CompareSym2 (a6989586621679185012 :: a) (a6989586621679185013 :: a) :: Ordering where ... Source #

Equations

CompareSym2 a6989586621679185012 a6989586621679185013 = Compare a6989586621679185012 a6989586621679185013

data (<@#@$) :: (~>) a ((~>) a Bool) infix 4 Source #

Instances

Instances details

SOrd a => SingI ((<@#@$) :: TyFun a (a ~> Bool) -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods sing :: Sing (<@#@$)
SuppressUnusedWarnings ((<@#@$) :: TyFun a (a ~> Bool) -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((<@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679185017 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((<@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679185017 :: a) = (<@#@$$) a6989586621679185017

data (<@#@$$) (a6989586621679185017 :: a) :: (~>) a Bool infix 4 Source #

Instances

Instances details

SOrd a => SingI1 ((<@#@$$) :: a -> TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing ((<@#@$$) x)
(SOrd a, SingI d) => SingI ((<@#@$$) d :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods sing :: Sing ((<@#@$$) d)
SuppressUnusedWarnings ((<@#@$$) a6989586621679185017 :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((<@#@$$) a6989586621679185017 :: TyFun a Bool -> Type) (a6989586621679185018 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((<@#@$$) a6989586621679185017 :: TyFun a Bool -> Type) (a6989586621679185018 :: a) = a6989586621679185017 < a6989586621679185018

type family (a6989586621679185017 :: a) <@#@$$$ (a6989586621679185018 :: a) :: Bool where ... infix 4 Source #

Equations

a6989586621679185017 <@#@$$$ a6989586621679185018 = (<) a6989586621679185017 a6989586621679185018

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

Instances

Instances details

SOrd a => SingI ((<=@#@$) :: TyFun a (a ~> Bool) -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods sing :: Sing (<=@#@$)
SuppressUnusedWarnings ((<=@#@$) :: TyFun a (a ~> Bool) -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((<=@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679185022 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((<=@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679185022 :: a) = (<=@#@$$) a6989586621679185022

data (<=@#@$$) (a6989586621679185022 :: a) :: (~>) a Bool infix 4 Source #

Instances

Instances details

SOrd a => SingI1 ((<=@#@$$) :: a -> TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing ((<=@#@$$) x)
(SOrd a, SingI d) => SingI ((<=@#@$$) d :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods sing :: Sing ((<=@#@$$) d)
SuppressUnusedWarnings ((<=@#@$$) a6989586621679185022 :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((<=@#@$$) a6989586621679185022 :: TyFun a Bool -> Type) (a6989586621679185023 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((<=@#@$$) a6989586621679185022 :: TyFun a Bool -> Type) (a6989586621679185023 :: a) = a6989586621679185022 <= a6989586621679185023

type family (a6989586621679185022 :: a) <=@#@$$$ (a6989586621679185023 :: a) :: Bool where ... infix 4 Source #

Equations

a6989586621679185022 <=@#@$$$ a6989586621679185023 = (<=) a6989586621679185022 a6989586621679185023

data (>@#@$) :: (~>) a ((~>) a Bool) infix 4 Source #

Instances

Instances details

SOrd a => SingI ((>@#@$) :: TyFun a (a ~> Bool) -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods sing :: Sing (>@#@$)
SuppressUnusedWarnings ((>@#@$) :: TyFun a (a ~> Bool) -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((>@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679185027 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((>@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679185027 :: a) = (>@#@$$) a6989586621679185027

data (>@#@$$) (a6989586621679185027 :: a) :: (~>) a Bool infix 4 Source #

Instances

Instances details

SOrd a => SingI1 ((>@#@$$) :: a -> TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing ((>@#@$$) x)
(SOrd a, SingI d) => SingI ((>@#@$$) d :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods sing :: Sing ((>@#@$$) d)
SuppressUnusedWarnings ((>@#@$$) a6989586621679185027 :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((>@#@$$) a6989586621679185027 :: TyFun a Bool -> Type) (a6989586621679185028 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((>@#@$$) a6989586621679185027 :: TyFun a Bool -> Type) (a6989586621679185028 :: a) = a6989586621679185027 > a6989586621679185028

type family (a6989586621679185027 :: a) >@#@$$$ (a6989586621679185028 :: a) :: Bool where ... infix 4 Source #

Equations

a6989586621679185027 >@#@$$$ a6989586621679185028 = (>) a6989586621679185027 a6989586621679185028

data (>=@#@$) :: (~>) a ((~>) a Bool) infix 4 Source #

Instances

Instances details

SOrd a => SingI ((>=@#@$) :: TyFun a (a ~> Bool) -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods sing :: Sing (>=@#@$)
SuppressUnusedWarnings ((>=@#@$) :: TyFun a (a ~> Bool) -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((>=@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679185032 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((>=@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679185032 :: a) = (>=@#@$$) a6989586621679185032

data (>=@#@$$) (a6989586621679185032 :: a) :: (~>) a Bool infix 4 Source #

Instances

Instances details

SOrd a => SingI1 ((>=@#@$$) :: a -> TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing ((>=@#@$$) x)
(SOrd a, SingI d) => SingI ((>=@#@$$) d :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods sing :: Sing ((>=@#@$$) d)
SuppressUnusedWarnings ((>=@#@$$) a6989586621679185032 :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((>=@#@$$) a6989586621679185032 :: TyFun a Bool -> Type) (a6989586621679185033 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((>=@#@$$) a6989586621679185032 :: TyFun a Bool -> Type) (a6989586621679185033 :: a) = a6989586621679185032 >= a6989586621679185033

type family (a6989586621679185032 :: a) >=@#@$$$ (a6989586621679185033 :: a) :: Bool where ... infix 4 Source #

Equations

a6989586621679185032 >=@#@$$$ a6989586621679185033 = (>=) a6989586621679185032 a6989586621679185033

data MaxSym0 :: (~>) a ((~>) a a) Source #

Instances

Instances details

SOrd a => SingI (MaxSym0 :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods sing :: Sing MaxSym0
SuppressUnusedWarnings (MaxSym0 :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MaxSym0 :: TyFun a (a ~> a) -> Type) (a6989586621679185037 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply (MaxSym0 :: TyFun a (a ~> a) -> Type) (a6989586621679185037 :: a) = MaxSym1 a6989586621679185037

data MaxSym1 (a6989586621679185037 :: a) :: (~>) a a Source #

Instances

Instances details

SOrd a => SingI1 (MaxSym1 :: a -> TyFun a a -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (MaxSym1 x)
(SOrd a, SingI d) => SingI (MaxSym1 d :: TyFun a a -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods sing :: Sing (MaxSym1 d)
SuppressUnusedWarnings (MaxSym1 a6989586621679185037 :: TyFun a a -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MaxSym1 a6989586621679185037 :: TyFun a a -> Type) (a6989586621679185038 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply (MaxSym1 a6989586621679185037 :: TyFun a a -> Type) (a6989586621679185038 :: a) = Max a6989586621679185037 a6989586621679185038

type family MaxSym2 (a6989586621679185037 :: a) (a6989586621679185038 :: a) :: a where ... Source #

Equations

MaxSym2 a6989586621679185037 a6989586621679185038 = Max a6989586621679185037 a6989586621679185038

data MinSym0 :: (~>) a ((~>) a a) Source #

Instances

Instances details

SOrd a => SingI (MinSym0 :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods sing :: Sing MinSym0
SuppressUnusedWarnings (MinSym0 :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MinSym0 :: TyFun a (a ~> a) -> Type) (a6989586621679185042 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply (MinSym0 :: TyFun a (a ~> a) -> Type) (a6989586621679185042 :: a) = MinSym1 a6989586621679185042

data MinSym1 (a6989586621679185042 :: a) :: (~>) a a Source #

Instances

Instances details

SOrd a => SingI1 (MinSym1 :: a -> TyFun a a -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (MinSym1 x)
(SOrd a, SingI d) => SingI (MinSym1 d :: TyFun a a -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods sing :: Sing (MinSym1 d)
SuppressUnusedWarnings (MinSym1 a6989586621679185042 :: TyFun a a -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MinSym1 a6989586621679185042 :: TyFun a a -> Type) (a6989586621679185043 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply (MinSym1 a6989586621679185042 :: TyFun a a -> Type) (a6989586621679185043 :: a) = Min a6989586621679185042 a6989586621679185043

type family MinSym2 (a6989586621679185042 :: a) (a6989586621679185043 :: a) :: a where ... Source #

Equations

MinSym2 a6989586621679185042 a6989586621679185043 = Min a6989586621679185042 a6989586621679185043

data ToEnumSym0 :: (~>) Natural a Source #

Instances

Instances details

SEnum a => SingI (ToEnumSym0 :: TyFun Natural a -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sing :: Sing ToEnumSym0
SuppressUnusedWarnings (ToEnumSym0 :: TyFun Natural a -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods suppressUnusedWarnings :: () #
type Apply (ToEnumSym0 :: TyFun Natural k2 -> Type) (a6989586621679605385 :: Natural) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (ToEnumSym0 :: TyFun Natural k2 -> Type) (a6989586621679605385 :: Natural) = ToEnum a6989586621679605385 :: k2

type family ToEnumSym1 (a6989586621679605385 :: Natural) :: a where ... Source #

Equations

ToEnumSym1 a6989586621679605385 = ToEnum a6989586621679605385

data FromEnumSym0 :: (~>) a Natural Source #

Instances

Instances details

SEnum a => SingI (FromEnumSym0 :: TyFun a Natural -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sing :: Sing FromEnumSym0
SuppressUnusedWarnings (FromEnumSym0 :: TyFun a Natural -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods suppressUnusedWarnings :: () #
type Apply (FromEnumSym0 :: TyFun a Natural -> Type) (a6989586621679605388 :: a) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (FromEnumSym0 :: TyFun a Natural -> Type) (a6989586621679605388 :: a) = FromEnum a6989586621679605388

type family FromEnumSym1 (a6989586621679605388 :: a) :: Natural where ... Source #

Equations

FromEnumSym1 a6989586621679605388 = FromEnum a6989586621679605388

data EnumFromToSym0 :: (~>) a ((~>) a [a]) Source #

Instances

Instances details

SEnum a => SingI (EnumFromToSym0 :: TyFun a (a ~> [a]) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sing :: Sing EnumFromToSym0
SuppressUnusedWarnings (EnumFromToSym0 :: TyFun a (a ~> [a]) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods suppressUnusedWarnings :: () #
type Apply (EnumFromToSym0 :: TyFun a (a ~> [a]) -> Type) (a6989586621679605392 :: a) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (EnumFromToSym0 :: TyFun a (a ~> [a]) -> Type) (a6989586621679605392 :: a) = EnumFromToSym1 a6989586621679605392

data EnumFromToSym1 (a6989586621679605392 :: a) :: (~>) a [a] Source #

Instances

Instances details

SEnum a => SingI1 (EnumFromToSym1 :: a -> TyFun a [a] -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods liftSing :: forall (x :: k1). Sing x -> Sing (EnumFromToSym1 x)
(SEnum a, SingI d) => SingI (EnumFromToSym1 d :: TyFun a [a] -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sing :: Sing (EnumFromToSym1 d)
SuppressUnusedWarnings (EnumFromToSym1 a6989586621679605392 :: TyFun a [a] -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods suppressUnusedWarnings :: () #
type Apply (EnumFromToSym1 a6989586621679605392 :: TyFun a [a] -> Type) (a6989586621679605393 :: a) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (EnumFromToSym1 a6989586621679605392 :: TyFun a [a] -> Type) (a6989586621679605393 :: a) = EnumFromTo a6989586621679605392 a6989586621679605393

type family EnumFromToSym2 (a6989586621679605392 :: a) (a6989586621679605393 :: a) :: [a] where ... Source #

Equations

EnumFromToSym2 a6989586621679605392 a6989586621679605393 = EnumFromTo a6989586621679605392 a6989586621679605393

data EnumFromThenToSym0 :: (~>) a ((~>) a ((~>) a [a])) Source #

Instances

Instances details

SEnum a => SingI (EnumFromThenToSym0 :: TyFun a (a ~> (a ~> [a])) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sing :: Sing EnumFromThenToSym0
SuppressUnusedWarnings (EnumFromThenToSym0 :: TyFun a (a ~> (a ~> [a])) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods suppressUnusedWarnings :: () #
type Apply (EnumFromThenToSym0 :: TyFun a (a ~> (a ~> [a])) -> Type) (a6989586621679605398 :: a) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (EnumFromThenToSym0 :: TyFun a (a ~> (a ~> [a])) -> Type) (a6989586621679605398 :: a) = EnumFromThenToSym1 a6989586621679605398

data EnumFromThenToSym1 (a6989586621679605398 :: a) :: (~>) a ((~>) a [a]) Source #

Instances

Instances details

SEnum a => SingI1 (EnumFromThenToSym1 :: a -> TyFun a (a ~> [a]) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods liftSing :: forall (x :: k1). Sing x -> Sing (EnumFromThenToSym1 x)
(SEnum a, SingI d) => SingI (EnumFromThenToSym1 d :: TyFun a (a ~> [a]) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sing :: Sing (EnumFromThenToSym1 d)
SuppressUnusedWarnings (EnumFromThenToSym1 a6989586621679605398 :: TyFun a (a ~> [a]) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods suppressUnusedWarnings :: () #
type Apply (EnumFromThenToSym1 a6989586621679605398 :: TyFun a (a ~> [a]) -> Type) (a6989586621679605399 :: a) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (EnumFromThenToSym1 a6989586621679605398 :: TyFun a (a ~> [a]) -> Type) (a6989586621679605399 :: a) = EnumFromThenToSym2 a6989586621679605398 a6989586621679605399

data EnumFromThenToSym2 (a6989586621679605398 :: a) (a6989586621679605399 :: a) :: (~>) a [a] Source #

Instances

Instances details

SEnum a => SingI2 (EnumFromThenToSym2 :: a -> a -> TyFun a [a] -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (EnumFromThenToSym2 x y)
(SEnum a, SingI d) => SingI1 (EnumFromThenToSym2 d :: a -> TyFun a [a] -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods liftSing :: forall (x :: k1). Sing x -> Sing (EnumFromThenToSym2 d x)
(SEnum a, SingI d1, SingI d2) => SingI (EnumFromThenToSym2 d1 d2 :: TyFun a [a] -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sing :: Sing (EnumFromThenToSym2 d1 d2)
SuppressUnusedWarnings (EnumFromThenToSym2 a6989586621679605398 a6989586621679605399 :: TyFun a [a] -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods suppressUnusedWarnings :: () #
type Apply (EnumFromThenToSym2 a6989586621679605398 a6989586621679605399 :: TyFun a [a] -> Type) (a6989586621679605400 :: a) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (EnumFromThenToSym2 a6989586621679605398 a6989586621679605399 :: TyFun a [a] -> Type) (a6989586621679605400 :: a) = EnumFromThenTo a6989586621679605398 a6989586621679605399 a6989586621679605400

type family EnumFromThenToSym3 (a6989586621679605398 :: a) (a6989586621679605399 :: a) (a6989586621679605400 :: a) :: [a] where ... Source #

Equations

EnumFromThenToSym3 a6989586621679605398 a6989586621679605399 a6989586621679605400 = EnumFromThenTo a6989586621679605398 a6989586621679605399 a6989586621679605400

type family MinBoundSym0 :: a where ... Source #

Equations

MinBoundSym0 = MinBound

type family MaxBoundSym0 :: a where ... Source #

Equations

MaxBoundSym0 = MaxBound

Numbers

Numeric type classes

data (+@#@$) :: (~>) a ((~>) a a) infixl 6 Source #

Instances

Instances details

SNum a => SingI ((+@#@$) :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods sing :: Sing (+@#@$)
SuppressUnusedWarnings ((+@#@$) :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((+@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679582928 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply ((+@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679582928 :: a) = (+@#@$$) a6989586621679582928

data (+@#@$$) (a6989586621679582928 :: a) :: (~>) a a infixl 6 Source #

Instances

Instances details

SNum a => SingI1 ((+@#@$$) :: a -> TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing ((+@#@$$) x)
(SNum a, SingI d) => SingI ((+@#@$$) d :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods sing :: Sing ((+@#@$$) d)
SuppressUnusedWarnings ((+@#@$$) a6989586621679582928 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((+@#@$$) a6989586621679582928 :: TyFun a a -> Type) (a6989586621679582929 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply ((+@#@$$) a6989586621679582928 :: TyFun a a -> Type) (a6989586621679582929 :: a) = a6989586621679582928 + a6989586621679582929

type family (a6989586621679582928 :: a) +@#@$$$ (a6989586621679582929 :: a) :: a where ... infixl 6 Source #

Equations

a6989586621679582928 +@#@$$$ a6989586621679582929 = (+) a6989586621679582928 a6989586621679582929

data (-@#@$) :: (~>) a ((~>) a a) infixl 6 Source #

Instances

Instances details

SNum a => SingI ((-@#@$) :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods sing :: Sing (-@#@$)
SuppressUnusedWarnings ((-@#@$) :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((-@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679582933 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply ((-@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679582933 :: a) = (-@#@$$) a6989586621679582933

data (-@#@$$) (a6989586621679582933 :: a) :: (~>) a a infixl 6 Source #

Instances

Instances details

SNum a => SingI1 ((-@#@$$) :: a -> TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing ((-@#@$$) x)
(SNum a, SingI d) => SingI ((-@#@$$) d :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods sing :: Sing ((-@#@$$) d)
SuppressUnusedWarnings ((-@#@$$) a6989586621679582933 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((-@#@$$) a6989586621679582933 :: TyFun a a -> Type) (a6989586621679582934 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply ((-@#@$$) a6989586621679582933 :: TyFun a a -> Type) (a6989586621679582934 :: a) = a6989586621679582933 - a6989586621679582934

type family (a6989586621679582933 :: a) -@#@$$$ (a6989586621679582934 :: a) :: a where ... infixl 6 Source #

Equations

a6989586621679582933 -@#@$$$ a6989586621679582934 = (-) a6989586621679582933 a6989586621679582934

data (*@#@$) :: (~>) a ((~>) a a) infixl 7 Source #

Instances

Instances details

SNum a => SingI ((*@#@$) :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods sing :: Sing (*@#@$)
SuppressUnusedWarnings ((*@#@$) :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((*@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679582938 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply ((@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679582938 :: a) = (@#@$$) a6989586621679582938

data (*@#@$$) (a6989586621679582938 :: a) :: (~>) a a infixl 7 Source #

Instances

Instances details

SNum a => SingI1 ((*@#@$$) :: a -> TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing ((*@#@$$) x)
(SNum a, SingI d) => SingI ((*@#@$$) d :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods sing :: Sing ((*@#@$$) d)
SuppressUnusedWarnings ((*@#@$$) a6989586621679582938 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((*@#@$$) a6989586621679582938 :: TyFun a a -> Type) (a6989586621679582939 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply ((@#@$$) a6989586621679582938 :: TyFun a a -> Type) (a6989586621679582939 :: a) = a6989586621679582938 a6989586621679582939

type family (a6989586621679582938 :: a) *@#@$$$ (a6989586621679582939 :: a) :: a where ... infixl 7 Source #

Equations

a6989586621679582938 *@#@$$$ a6989586621679582939 = * a6989586621679582938 a6989586621679582939

data NegateSym0 :: (~>) a a Source #

Instances

Instances details

SNum a => SingI (NegateSym0 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods sing :: Sing NegateSym0
SuppressUnusedWarnings (NegateSym0 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply (NegateSym0 :: TyFun a a -> Type) (a6989586621679582942 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply (NegateSym0 :: TyFun a a -> Type) (a6989586621679582942 :: a) = Negate a6989586621679582942

type family NegateSym1 (a6989586621679582942 :: a) :: a where ... Source #

Equations

NegateSym1 a6989586621679582942 = Negate a6989586621679582942

data AbsSym0 :: (~>) a a Source #

Instances

Instances details

SNum a => SingI (AbsSym0 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods sing :: Sing AbsSym0
SuppressUnusedWarnings (AbsSym0 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply (AbsSym0 :: TyFun a a -> Type) (a6989586621679582945 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply (AbsSym0 :: TyFun a a -> Type) (a6989586621679582945 :: a) = Abs a6989586621679582945

type family AbsSym1 (a6989586621679582945 :: a) :: a where ... Source #

Equations

AbsSym1 a6989586621679582945 = Abs a6989586621679582945

data SignumSym0 :: (~>) a a Source #

Instances

Instances details

SNum a => SingI (SignumSym0 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods sing :: Sing SignumSym0
SuppressUnusedWarnings (SignumSym0 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply (SignumSym0 :: TyFun a a -> Type) (a6989586621679582948 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply (SignumSym0 :: TyFun a a -> Type) (a6989586621679582948 :: a) = Signum a6989586621679582948

type family SignumSym1 (a6989586621679582948 :: a) :: a where ... Source #

Equations

SignumSym1 a6989586621679582948 = Signum a6989586621679582948

data FromIntegerSym0 :: (~>) Natural a Source #

Instances

Instances details

SNum a => SingI (FromIntegerSym0 :: TyFun Natural a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods sing :: Sing FromIntegerSym0
SuppressUnusedWarnings (FromIntegerSym0 :: TyFun Natural a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FromIntegerSym0 :: TyFun Natural k2 -> Type) (a6989586621679582951 :: Natural) Source #
Instance details Defined in GHC.Num.Singletons type Apply (FromIntegerSym0 :: TyFun Natural k2 -> Type) (a6989586621679582951 :: Natural) = FromInteger a6989586621679582951 :: k2

type family FromIntegerSym1 (a6989586621679582951 :: Natural) :: a where ... Source #

Equations

FromIntegerSym1 a6989586621679582951 = FromInteger a6989586621679582951

Numeric functions

data SubtractSym0 :: (~>) a ((~>) a a) Source #

Instances

Instances details

SNum a => SingI (SubtractSym0 :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods sing :: Sing SubtractSym0
SuppressUnusedWarnings (SubtractSym0 :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply (SubtractSym0 :: TyFun a (a ~> a) -> Type) (a6989586621679582921 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply (SubtractSym0 :: TyFun a (a ~> a) -> Type) (a6989586621679582921 :: a) = SubtractSym1 a6989586621679582921

data SubtractSym1 (a6989586621679582921 :: a) :: (~>) a a Source #

Instances

Instances details

SNum a => SingI1 (SubtractSym1 :: a -> TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (SubtractSym1 x)
(SNum a, SingI d) => SingI (SubtractSym1 d :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods sing :: Sing (SubtractSym1 d)
SuppressUnusedWarnings (SubtractSym1 a6989586621679582921 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply (SubtractSym1 a6989586621679582921 :: TyFun a a -> Type) (a6989586621679582922 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply (SubtractSym1 a6989586621679582921 :: TyFun a a -> Type) (a6989586621679582922 :: a) = Subtract a6989586621679582921 a6989586621679582922

type family SubtractSym2 (a6989586621679582921 :: a) (a6989586621679582922 :: a) :: a where ... Source #

Equations

SubtractSym2 a6989586621679582921 a6989586621679582922 = Subtract a6989586621679582921 a6989586621679582922

Semigroups and Monoids

data (<>@#@$) :: (~>) a ((~>) a a) infixr 6 Source #

Instances

Instances details

SSemigroup a => SingI ((<>@#@$) :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sing :: Sing (<>@#@$)
SuppressUnusedWarnings ((<>@#@$) :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((<>@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679688704 :: a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Apply ((<>@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679688704 :: a) = (<>@#@$$) a6989586621679688704

data (<>@#@$$) (a6989586621679688704 :: a) :: (~>) a a infixr 6 Source #

Instances

Instances details

SSemigroup a => SingI1 ((<>@#@$$) :: a -> TyFun a a -> Type) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing ((<>@#@$$) x)
(SSemigroup a, SingI d) => SingI ((<>@#@$$) d :: TyFun a a -> Type) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sing :: Sing ((<>@#@$$) d)
SuppressUnusedWarnings ((<>@#@$$) a6989586621679688704 :: TyFun a a -> Type) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((<>@#@$$) a6989586621679688704 :: TyFun a a -> Type) (a6989586621679688705 :: a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Apply ((<>@#@$$) a6989586621679688704 :: TyFun a a -> Type) (a6989586621679688705 :: a) = a6989586621679688704 <> a6989586621679688705

type family (a6989586621679688704 :: a) <>@#@$$$ (a6989586621679688705 :: a) :: a where ... infixr 6 Source #

Equations

a6989586621679688704 <>@#@$$$ a6989586621679688705 = (<>) a6989586621679688704 a6989586621679688705

type family MemptySym0 :: a where ... Source #

Equations

MemptySym0 = Mempty

data MappendSym0 :: (~>) a ((~>) a a) Source #

Instances

Instances details

SMonoid a => SingI (MappendSym0 :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in Data.Monoid.Singletons Methods sing :: Sing MappendSym0
SuppressUnusedWarnings (MappendSym0 :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in Data.Monoid.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MappendSym0 :: TyFun a (a ~> a) -> Type) (a6989586621680329555 :: a) Source #
Instance details Defined in Data.Monoid.Singletons type Apply (MappendSym0 :: TyFun a (a ~> a) -> Type) (a6989586621680329555 :: a) = MappendSym1 a6989586621680329555

data MappendSym1 (a6989586621680329555 :: a) :: (~>) a a Source #

Instances

Instances details

SMonoid a => SingI1 (MappendSym1 :: a -> TyFun a a -> Type) Source #
Instance details Defined in Data.Monoid.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (MappendSym1 x)
(SMonoid a, SingI d) => SingI (MappendSym1 d :: TyFun a a -> Type) Source #
Instance details Defined in Data.Monoid.Singletons Methods sing :: Sing (MappendSym1 d)
SuppressUnusedWarnings (MappendSym1 a6989586621680329555 :: TyFun a a -> Type) Source #
Instance details Defined in Data.Monoid.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MappendSym1 a6989586621680329555 :: TyFun a a -> Type) (a6989586621680329556 :: a) Source #
Instance details Defined in Data.Monoid.Singletons type Apply (MappendSym1 a6989586621680329555 :: TyFun a a -> Type) (a6989586621680329556 :: a) = Mappend a6989586621680329555 a6989586621680329556

type family MappendSym2 (a6989586621680329555 :: a) (a6989586621680329556 :: a) :: a where ... Source #

Equations

MappendSym2 a6989586621680329555 a6989586621680329556 = Mappend a6989586621680329555 a6989586621680329556

data MconcatSym0 :: (~>) [a] a Source #

Instances

Instances details

SMonoid a => SingI (MconcatSym0 :: TyFun [a] a -> Type) Source #
Instance details Defined in Data.Monoid.Singletons Methods sing :: Sing MconcatSym0
SuppressUnusedWarnings (MconcatSym0 :: TyFun [a] a -> Type) Source #
Instance details Defined in Data.Monoid.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MconcatSym0 :: TyFun [a] a -> Type) (a6989586621680329559 :: [a]) Source #
Instance details Defined in Data.Monoid.Singletons type Apply (MconcatSym0 :: TyFun [a] a -> Type) (a6989586621680329559 :: [a]) = Mconcat a6989586621680329559

type family MconcatSym1 (a6989586621680329559 :: [a]) :: a where ... Source #

Equations

MconcatSym1 a6989586621680329559 = Mconcat a6989586621680329559

Monads and functors

data FmapSym0 :: (~>) ((~>) a b) ((~>) (f a) (f b)) Source #

Instances

Instances details

SFunctor f => SingI (FmapSym0 :: TyFun (a ~> b) (f a ~> f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing FmapSym0
SuppressUnusedWarnings (FmapSym0 :: TyFun (a ~> b) (f a ~> f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (FmapSym0 :: TyFun (a ~> b) (f a ~> f b) -> Type) (a6989586621679337015 :: a ~> b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (FmapSym0 :: TyFun (a ~> b) (f a ~> f b) -> Type) (a6989586621679337015 :: a ~> b) = FmapSym1 a6989586621679337015 :: TyFun (f a) (f b) -> Type

data FmapSym1 (a6989586621679337015 :: (~>) a b) :: (~>) (f a) (f b) Source #

Instances

Instances details

SFunctor f => SingI1 (FmapSym1 :: (a ~> b) -> TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (FmapSym1 x)
(SFunctor f, SingI d) => SingI (FmapSym1 d :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (FmapSym1 d)
SuppressUnusedWarnings (FmapSym1 a6989586621679337015 :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (FmapSym1 a6989586621679337015 :: TyFun (f a) (f b) -> Type) (a6989586621679337016 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (FmapSym1 a6989586621679337015 :: TyFun (f a) (f b) -> Type) (a6989586621679337016 :: f a) = Fmap a6989586621679337015 a6989586621679337016

type family FmapSym2 (a6989586621679337015 :: (~>) a b) (a6989586621679337016 :: f a) :: f b where ... Source #

Equations

FmapSym2 a6989586621679337015 a6989586621679337016 = Fmap a6989586621679337015 a6989586621679337016

data (<$@#@$) :: (~>) a ((~>) (f b) (f a)) infixl 4 Source #

Instances

Instances details

SFunctor f => SingI ((<$@#@$) :: TyFun a (f b ~> f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (<$@#@$)
SuppressUnusedWarnings ((<$@#@$) :: TyFun a (f b ~> f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((<$@#@$) :: TyFun a (f b ~> f a) -> Type) (a6989586621679337020 :: a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<$@#@$) :: TyFun a (f b ~> f a) -> Type) (a6989586621679337020 :: a) = (<$@#@$$) a6989586621679337020 :: TyFun (f b) (f a) -> Type

data (<$@#@$$) (a6989586621679337020 :: a) :: (~>) (f b) (f a) infixl 4 Source #

Instances

Instances details

SFunctor f => SingI1 ((<$@#@$$) :: a -> TyFun (f b) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing ((<$@#@$$) x)
(SFunctor f, SingI d) => SingI ((<$@#@$$) d :: TyFun (f b) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing ((<$@#@$$) d)
SuppressUnusedWarnings ((<$@#@$$) a6989586621679337020 :: TyFun (f b) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((<$@#@$$) a6989586621679337020 :: TyFun (f b) (f a) -> Type) (a6989586621679337021 :: f b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<$@#@$$) a6989586621679337020 :: TyFun (f b) (f a) -> Type) (a6989586621679337021 :: f b) = a6989586621679337020 <$ a6989586621679337021

type family (a6989586621679337020 :: a) <$@#@$$$ (a6989586621679337021 :: f b) :: f a where ... infixl 4 Source #

Equations

a6989586621679337020 <$@#@$$$ a6989586621679337021 = (<$) a6989586621679337020 a6989586621679337021

data (<$>@#@$) :: (~>) ((~>) a b) ((~>) (f a) (f b)) infixl 4 Source #

Instances

Instances details

SFunctor f => SingI ((<$>@#@$) :: TyFun (a ~> b) (f a ~> f b) -> Type) Source #
Instance details Defined in Data.Functor.Singletons Methods sing :: Sing (<$>@#@$)
SuppressUnusedWarnings ((<$>@#@$) :: TyFun (a ~> b) (f a ~> f b) -> Type) Source #
Instance details Defined in Data.Functor.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((<$>@#@$) :: TyFun (a ~> b) (f a ~> f b) -> Type) (a6989586621679524018 :: a ~> b) Source #
Instance details Defined in Data.Functor.Singletons type Apply ((<$>@#@$) :: TyFun (a ~> b) (f a ~> f b) -> Type) (a6989586621679524018 :: a ~> b) = (<$>@#@$$) a6989586621679524018 :: TyFun (f a) (f b) -> Type

data (<$>@#@$$) (a6989586621679524018 :: (~>) a b) :: (~>) (f a) (f b) infixl 4 Source #

Instances

Instances details

SFunctor f => SingI1 ((<$>@#@$$) :: (a ~> b) -> TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Data.Functor.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing ((<$>@#@$$) x)
(SFunctor f, SingI d) => SingI ((<$>@#@$$) d :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Data.Functor.Singletons Methods sing :: Sing ((<$>@#@$$) d)
SuppressUnusedWarnings ((<$>@#@$$) a6989586621679524018 :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Data.Functor.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((<$>@#@$$) a6989586621679524018 :: TyFun (f a) (f b) -> Type) (a6989586621679524019 :: f a) Source #
Instance details Defined in Data.Functor.Singletons type Apply ((<$>@#@$$) a6989586621679524018 :: TyFun (f a) (f b) -> Type) (a6989586621679524019 :: f a) = a6989586621679524018 <$> a6989586621679524019

type family (a6989586621679524018 :: (~>) a b) <$>@#@$$$ (a6989586621679524019 :: f a) :: f b where ... infixl 4 Source #

Equations

a6989586621679524018 <$>@#@$$$ a6989586621679524019 = (<$>) a6989586621679524018 a6989586621679524019

data PureSym0 :: (~>) a (f a) Source #

Instances

Instances details

SApplicative f => SingI (PureSym0 :: TyFun a (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing PureSym0
SuppressUnusedWarnings (PureSym0 :: TyFun a (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (PureSym0 :: TyFun a (f a) -> Type) (a6989586621679337039 :: a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (PureSym0 :: TyFun a (f a) -> Type) (a6989586621679337039 :: a) = Pure a6989586621679337039 :: f a

type family PureSym1 (a6989586621679337039 :: a) :: f a where ... Source #

Equations

PureSym1 a6989586621679337039 = Pure a6989586621679337039

data (<*>@#@$) :: (~>) (f ((~>) a b)) ((~>) (f a) (f b)) infixl 4 Source #

Instances

Instances details

SApplicative f => SingI ((<*>@#@$) :: TyFun (f (a ~> b)) (f a ~> f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (<*>@#@$)
SuppressUnusedWarnings ((<*>@#@$) :: TyFun (f (a ~> b)) (f a ~> f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((<*>@#@$) :: TyFun (f (a ~> b)) (f a ~> f b) -> Type) (a6989586621679337043 :: f (a ~> b)) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<>@#@$) :: TyFun (f (a ~> b)) (f a ~> f b) -> Type) (a6989586621679337043 :: f (a ~> b)) = (<>@#@$$) a6989586621679337043

data (<*>@#@$$) (a6989586621679337043 :: f ((~>) a b)) :: (~>) (f a) (f b) infixl 4 Source #

Instances

Instances details

SApplicative f => SingI1 ((<*>@#@$$) :: f (a ~> b) -> TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing ((<*>@#@$$) x)
(SApplicative f, SingI d) => SingI ((<*>@#@$$) d :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing ((<*>@#@$$) d)
SuppressUnusedWarnings ((<*>@#@$$) a6989586621679337043 :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((<*>@#@$$) a6989586621679337043 :: TyFun (f a) (f b) -> Type) (a6989586621679337044 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<>@#@$$) a6989586621679337043 :: TyFun (f a) (f b) -> Type) (a6989586621679337044 :: f a) = a6989586621679337043 <> a6989586621679337044

type family (a6989586621679337043 :: f ((~>) a b)) <*>@#@$$$ (a6989586621679337044 :: f a) :: f b where ... infixl 4 Source #

Equations

a6989586621679337043 <*>@#@$$$ a6989586621679337044 = (<*>) a6989586621679337043 a6989586621679337044

data (*>@#@$) :: (~>) (f a) ((~>) (f b) (f b)) infixl 4 Source #

Instances

Instances details

SApplicative f => SingI ((*>@#@$) :: TyFun (f a) (f b ~> f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (*>@#@$)
SuppressUnusedWarnings ((*>@#@$) :: TyFun (f a) (f b ~> f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((*>@#@$) :: TyFun (f a) (f b ~> f b) -> Type) (a6989586621679337055 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>@#@$) :: TyFun (f a) (f b ~> f b) -> Type) (a6989586621679337055 :: f a) = (>@#@$$) a6989586621679337055 :: TyFun (f b) (f b) -> Type

data (*>@#@$$) (a6989586621679337055 :: f a) :: (~>) (f b) (f b) infixl 4 Source #

Instances

Instances details

SApplicative f => SingI1 ((*>@#@$$) :: f a -> TyFun (f b) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing ((*>@#@$$) x)
(SApplicative f, SingI d) => SingI ((*>@#@$$) d :: TyFun (f b) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing ((*>@#@$$) d)
SuppressUnusedWarnings ((*>@#@$$) a6989586621679337055 :: TyFun (f b) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((*>@#@$$) a6989586621679337055 :: TyFun (f b) (f b) -> Type) (a6989586621679337056 :: f b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>@#@$$) a6989586621679337055 :: TyFun (f b) (f b) -> Type) (a6989586621679337056 :: f b) = a6989586621679337055 > a6989586621679337056

type family (a6989586621679337055 :: f a) *>@#@$$$ (a6989586621679337056 :: f b) :: f b where ... infixl 4 Source #

Equations

a6989586621679337055 *>@#@$$$ a6989586621679337056 = (*>) a6989586621679337055 a6989586621679337056

data (<*@#@$) :: (~>) (f a) ((~>) (f b) (f a)) infixl 4 Source #

Instances

Instances details

SApplicative f => SingI ((<*@#@$) :: TyFun (f a) (f b ~> f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (<*@#@$)
SuppressUnusedWarnings ((<*@#@$) :: TyFun (f a) (f b ~> f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((<*@#@$) :: TyFun (f a) (f b ~> f a) -> Type) (a6989586621679337060 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<@#@$) :: TyFun (f a) (f b ~> f a) -> Type) (a6989586621679337060 :: f a) = (<@#@$$) a6989586621679337060 :: TyFun (f b) (f a) -> Type

data (<*@#@$$) (a6989586621679337060 :: f a) :: (~>) (f b) (f a) infixl 4 Source #

Instances

Instances details

SApplicative f => SingI1 ((<*@#@$$) :: f a -> TyFun (f b) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing ((<*@#@$$) x)
(SApplicative f, SingI d) => SingI ((<*@#@$$) d :: TyFun (f b) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing ((<*@#@$$) d)
SuppressUnusedWarnings ((<*@#@$$) a6989586621679337060 :: TyFun (f b) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((<*@#@$$) a6989586621679337060 :: TyFun (f b) (f a) -> Type) (a6989586621679337061 :: f b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<@#@$$) a6989586621679337060 :: TyFun (f b) (f a) -> Type) (a6989586621679337061 :: f b) = a6989586621679337060 < a6989586621679337061

type family (a6989586621679337060 :: f a) <*@#@$$$ (a6989586621679337061 :: f b) :: f a where ... infixl 4 Source #

Equations

a6989586621679337060 <*@#@$$$ a6989586621679337061 = (<*) a6989586621679337060 a6989586621679337061

data (>>=@#@$) :: (~>) (m a) ((~>) ((~>) a (m b)) (m b)) infixl 1 Source #

Instances

Instances details

SMonad m => SingI ((>>=@#@$) :: TyFun (m a) ((a ~> m b) ~> m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (>>=@#@$)
SuppressUnusedWarnings ((>>=@#@$) :: TyFun (m a) ((a ~> m b) ~> m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((>>=@#@$) :: TyFun (m a) ((a ~> m b) ~> m b) -> Type) (a6989586621679337123 :: m a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>>=@#@$) :: TyFun (m a) ((a ~> m b) ~> m b) -> Type) (a6989586621679337123 :: m a) = (>>=@#@$$) a6989586621679337123 :: TyFun (a ~> m b) (m b) -> Type

data (>>=@#@$$) (a6989586621679337123 :: m a) :: (~>) ((~>) a (m b)) (m b) infixl 1 Source #

Instances

Instances details

SMonad m => SingI1 ((>>=@#@$$) :: m a -> TyFun (a ~> m b) (m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing ((>>=@#@$$) x)
(SMonad m, SingI d) => SingI ((>>=@#@$$) d :: TyFun (a ~> m b) (m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing ((>>=@#@$$) d)
SuppressUnusedWarnings ((>>=@#@$$) a6989586621679337123 :: TyFun (a ~> m b) (m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((>>=@#@$$) a6989586621679337123 :: TyFun (a ~> m b) (m b) -> Type) (a6989586621679337124 :: a ~> m b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>>=@#@$$) a6989586621679337123 :: TyFun (a ~> m b) (m b) -> Type) (a6989586621679337124 :: a ~> m b) = a6989586621679337123 >>= a6989586621679337124

type family (a6989586621679337123 :: m a) >>=@#@$$$ (a6989586621679337124 :: (~>) a (m b)) :: m b where ... infixl 1 Source #

Equations

a6989586621679337123 >>=@#@$$$ a6989586621679337124 = (>>=) a6989586621679337123 a6989586621679337124

data (>>@#@$) :: (~>) (m a) ((~>) (m b) (m b)) infixl 1 Source #

Instances

Instances details

SMonad m => SingI ((>>@#@$) :: TyFun (m a) (m b ~> m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (>>@#@$)
SuppressUnusedWarnings ((>>@#@$) :: TyFun (m a) (m b ~> m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((>>@#@$) :: TyFun (m a) (m b ~> m b) -> Type) (a6989586621679337128 :: m a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>>@#@$) :: TyFun (m a) (m b ~> m b) -> Type) (a6989586621679337128 :: m a) = (>>@#@$$) a6989586621679337128 :: TyFun (m b) (m b) -> Type

data (>>@#@$$) (a6989586621679337128 :: m a) :: (~>) (m b) (m b) infixl 1 Source #

Instances

Instances details

SMonad m => SingI1 ((>>@#@$$) :: m a -> TyFun (m b) (m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing ((>>@#@$$) x)
(SMonad m, SingI d) => SingI ((>>@#@$$) d :: TyFun (m b) (m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing ((>>@#@$$) d)
SuppressUnusedWarnings ((>>@#@$$) a6989586621679337128 :: TyFun (m b) (m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((>>@#@$$) a6989586621679337128 :: TyFun (m b) (m b) -> Type) (a6989586621679337129 :: m b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>>@#@$$) a6989586621679337128 :: TyFun (m b) (m b) -> Type) (a6989586621679337129 :: m b) = a6989586621679337128 >> a6989586621679337129

type family (a6989586621679337128 :: m a) >>@#@$$$ (a6989586621679337129 :: m b) :: m b where ... infixl 1 Source #

Equations

a6989586621679337128 >>@#@$$$ a6989586621679337129 = (>>) a6989586621679337128 a6989586621679337129

data ReturnSym0 :: (~>) a (m a) Source #

Instances

Instances details

SMonad m => SingI (ReturnSym0 :: TyFun a (m a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing ReturnSym0
SuppressUnusedWarnings (ReturnSym0 :: TyFun a (m a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ReturnSym0 :: TyFun a (m a) -> Type) (a6989586621679337132 :: a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (ReturnSym0 :: TyFun a (m a) -> Type) (a6989586621679337132 :: a) = Return a6989586621679337132 :: m a

type family ReturnSym1 (a6989586621679337132 :: a) :: m a where ... Source #

Equations

ReturnSym1 a6989586621679337132 = Return a6989586621679337132

data FailSym0 :: (~>) [Char] (m a) Source #

Instances

Instances details

SMonadFail m => SingI (FailSym0 :: TyFun [Char] (m a) -> Type) Source #
Instance details Defined in Control.Monad.Fail.Singletons Methods sing :: Sing FailSym0
SuppressUnusedWarnings (FailSym0 :: TyFun [Char] (m a) -> Type) Source #
Instance details Defined in Control.Monad.Fail.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FailSym0 :: TyFun [Char] (m a) -> Type) (a6989586621679540843 :: [Char]) Source #
Instance details Defined in Control.Monad.Fail.Singletons type Apply (FailSym0 :: TyFun [Char] (m a) -> Type) (a6989586621679540843 :: [Char]) = Fail a6989586621679540843 :: m a

type family FailSym1 (a6989586621679540843 :: [Char]) :: m a where ... Source #

Equations

FailSym1 a6989586621679540843 = Fail a6989586621679540843

data MapM_Sym0 :: (~>) ((~>) a (m b)) ((~>) (t a) (m ())) Source #

Instances

Instances details

(SFoldable t, SMonad m) => SingI (MapM_Sym0 :: TyFun (a ~> m b) (t a ~> m ()) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing MapM_Sym0
SuppressUnusedWarnings (MapM_Sym0 :: TyFun (a ~> m b) (t a ~> m ()) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MapM_Sym0 :: TyFun (a ~> m b) (t a ~> m ()) -> Type) (a6989586621680427168 :: a ~> m b) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (MapM_Sym0 :: TyFun (a ~> m b) (t a ~> m ()) -> Type) (a6989586621680427168 :: a ~> m b) = MapM_Sym1 a6989586621680427168 :: TyFun (t a) (m ()) -> Type

data MapM_Sym1 (a6989586621680427168 :: (~>) a (m b)) :: (~>) (t a) (m ()) Source #

Instances

Instances details

(SFoldable t, SMonad m) => SingI1 (MapM_Sym1 :: (a ~> m b) -> TyFun (t a) (m ()) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (MapM_Sym1 x)
(SFoldable t, SMonad m, SingI d) => SingI (MapM_Sym1 d :: TyFun (t a) (m ()) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing (MapM_Sym1 d)
SuppressUnusedWarnings (MapM_Sym1 a6989586621680427168 :: TyFun (t a) (m ()) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MapM_Sym1 a6989586621680427168 :: TyFun (t a) (m ()) -> Type) (a6989586621680427169 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (MapM_Sym1 a6989586621680427168 :: TyFun (t a) (m ()) -> Type) (a6989586621680427169 :: t a) = MapM_ a6989586621680427168 a6989586621680427169

type family MapM_Sym2 (a6989586621680427168 :: (~>) a (m b)) (a6989586621680427169 :: t a) :: m () where ... Source #

Equations

MapM_Sym2 a6989586621680427168 a6989586621680427169 = MapM_ a6989586621680427168 a6989586621680427169

data Sequence_Sym0 :: (~>) (t (m a)) (m ()) Source #

Instances

Instances details

(SFoldable t, SMonad m) => SingI (Sequence_Sym0 :: TyFun (t (m a)) (m ()) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing Sequence_Sym0
SuppressUnusedWarnings (Sequence_Sym0 :: TyFun (t (m a)) (m ()) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Sequence_Sym0 :: TyFun (t (m a)) (m ()) -> Type) (a6989586621680427144 :: t (m a)) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (Sequence_Sym0 :: TyFun (t (m a)) (m ()) -> Type) (a6989586621680427144 :: t (m a)) = Sequence_ a6989586621680427144

type family Sequence_Sym1 (a6989586621680427144 :: t (m a)) :: m () where ... Source #

Equations

Sequence_Sym1 a6989586621680427144 = Sequence_ a6989586621680427144

data (=<<@#@$) :: (~>) ((~>) a (m b)) ((~>) (m a) (m b)) infixr 1 Source #

Instances

Instances details

SMonad m => SingI ((=<<@#@$) :: TyFun (a ~> m b) (m a ~> m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (=<<@#@$)
SuppressUnusedWarnings ((=<<@#@$) :: TyFun (a ~> m b) (m a ~> m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((=<<@#@$) :: TyFun (a ~> m b) (m a ~> m b) -> Type) (a6989586621679336968 :: a ~> m b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((=<<@#@$) :: TyFun (a ~> m b) (m a ~> m b) -> Type) (a6989586621679336968 :: a ~> m b) = (=<<@#@$$) a6989586621679336968

data (=<<@#@$$) (a6989586621679336968 :: (~>) a (m b)) :: (~>) (m a) (m b) infixr 1 Source #

Instances

Instances details

SMonad m => SingI1 ((=<<@#@$$) :: (a ~> m b) -> TyFun (m a) (m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing ((=<<@#@$$) x)
(SMonad m, SingI d) => SingI ((=<<@#@$$) d :: TyFun (m a) (m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing ((=<<@#@$$) d)
SuppressUnusedWarnings ((=<<@#@$$) a6989586621679336968 :: TyFun (m a) (m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((=<<@#@$$) a6989586621679336968 :: TyFun (m a) (m b) -> Type) (a6989586621679336969 :: m a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((=<<@#@$$) a6989586621679336968 :: TyFun (m a) (m b) -> Type) (a6989586621679336969 :: m a) = a6989586621679336968 =<< a6989586621679336969

type family (a6989586621679336968 :: (~>) a (m b)) =<<@#@$$$ (a6989586621679336969 :: m a) :: m b where ... infixr 1 Source #

Equations

a6989586621679336968 =<<@#@$$$ a6989586621679336969 = (=<<) a6989586621679336968 a6989586621679336969

Folds and traversals

data ElemSym0 :: (~>) a ((~>) (t a) Bool) Source #

Instances

Instances details

(SFoldable t, SEq a) => SingI (ElemSym0 :: TyFun a (t a ~> Bool) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing ElemSym0
SuppressUnusedWarnings (ElemSym0 :: TyFun a (t a ~> Bool) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ElemSym0 :: TyFun a (t a ~> Bool) -> Type) (a6989586621680427286 :: a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (ElemSym0 :: TyFun a (t a ~> Bool) -> Type) (a6989586621680427286 :: a) = ElemSym1 a6989586621680427286 :: TyFun (t a) Bool -> Type

data ElemSym1 (a6989586621680427286 :: a) :: (~>) (t a) Bool Source #

Instances

Instances details

(SFoldable t, SEq a) => SingI1 (ElemSym1 :: a -> TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ElemSym1 x)
(SFoldable t, SEq a, SingI d) => SingI (ElemSym1 d :: TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing (ElemSym1 d)
SuppressUnusedWarnings (ElemSym1 a6989586621680427286 :: TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ElemSym1 a6989586621680427286 :: TyFun (t a) Bool -> Type) (a6989586621680427287 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (ElemSym1 a6989586621680427286 :: TyFun (t a) Bool -> Type) (a6989586621680427287 :: t a) = Elem a6989586621680427286 a6989586621680427287

type family ElemSym2 (a6989586621680427286 :: a) (a6989586621680427287 :: t a) :: Bool where ... Source #

Equations

ElemSym2 a6989586621680427286 a6989586621680427287 = Elem a6989586621680427286 a6989586621680427287

data FoldMapSym0 :: (~>) ((~>) a m) ((~>) (t a) m) Source #

Instances

Instances details

(SFoldable t, SMonoid m) => SingI (FoldMapSym0 :: TyFun (a ~> m) (t a ~> m) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing FoldMapSym0
SuppressUnusedWarnings (FoldMapSym0 :: TyFun (a ~> m) (t a ~> m) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FoldMapSym0 :: TyFun (a ~> m) (t a ~> m) -> Type) (a6989586621680427234 :: a ~> m) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldMapSym0 :: TyFun (a ~> m) (t a ~> m) -> Type) (a6989586621680427234 :: a ~> m) = FoldMapSym1 a6989586621680427234 :: TyFun (t a) m -> Type

data FoldMapSym1 (a6989586621680427234 :: (~>) a m) :: (~>) (t a) m Source #

Instances

Instances details

(SFoldable t, SMonoid m) => SingI1 (FoldMapSym1 :: (a ~> m) -> TyFun (t a) m -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (FoldMapSym1 x)
(SFoldable t, SMonoid m, SingI d) => SingI (FoldMapSym1 d :: TyFun (t a) m -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing (FoldMapSym1 d)
SuppressUnusedWarnings (FoldMapSym1 a6989586621680427234 :: TyFun (t a) m -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FoldMapSym1 a6989586621680427234 :: TyFun (t a) m -> Type) (a6989586621680427235 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldMapSym1 a6989586621680427234 :: TyFun (t a) m -> Type) (a6989586621680427235 :: t a) = FoldMap a6989586621680427234 a6989586621680427235

type family FoldMapSym2 (a6989586621680427234 :: (~>) a m) (a6989586621680427235 :: t a) :: m where ... Source #

Equations

FoldMapSym2 a6989586621680427234 a6989586621680427235 = FoldMap a6989586621680427234 a6989586621680427235

data FoldrSym0 :: (~>) ((~>) a ((~>) b b)) ((~>) b ((~>) (t a) b)) Source #

Instances

Instances details

SFoldable t => SingI (FoldrSym0 :: TyFun (a ~> (b ~> b)) (b ~> (t a ~> b)) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing FoldrSym0
SuppressUnusedWarnings (FoldrSym0 :: TyFun (a ~> (b ~> b)) (b ~> (t a ~> b)) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FoldrSym0 :: TyFun (a ~> (b ~> b)) (b ~> (t a ~> b)) -> Type) (a6989586621680427240 :: a ~> (b ~> b)) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldrSym0 :: TyFun (a ~> (b ~> b)) (b ~> (t a ~> b)) -> Type) (a6989586621680427240 :: a ~> (b ~> b)) = FoldrSym1 a6989586621680427240 :: TyFun b (t a ~> b) -> Type

data FoldrSym1 (a6989586621680427240 :: (~>) a ((~>) b b)) :: (~>) b ((~>) (t a) b) Source #

Instances

Instances details

SFoldable t => SingI1 (FoldrSym1 :: (a ~> (b ~> b)) -> TyFun b (t a ~> b) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (FoldrSym1 x)
(SFoldable t, SingI d) => SingI (FoldrSym1 d :: TyFun b (t a ~> b) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing (FoldrSym1 d)
SuppressUnusedWarnings (FoldrSym1 a6989586621680427240 :: TyFun b (t a ~> b) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FoldrSym1 a6989586621680427240 :: TyFun b (t a ~> b) -> Type) (a6989586621680427241 :: b) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldrSym1 a6989586621680427240 :: TyFun b (t a ~> b) -> Type) (a6989586621680427241 :: b) = FoldrSym2 a6989586621680427240 a6989586621680427241 :: TyFun (t a) b -> Type

data FoldrSym2 (a6989586621680427240 :: (~>) a ((~>) b b)) (a6989586621680427241 :: b) :: (~>) (t a) b Source #

Instances

Instances details

(SFoldable t, SingI d) => SingI1 (FoldrSym2 d :: b -> TyFun (t a) b -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (FoldrSym2 d x)
SFoldable t => SingI2 (FoldrSym2 :: (a ~> (b ~> b)) -> b -> TyFun (t a) b -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (FoldrSym2 x y)
(SFoldable t, SingI d1, SingI d2) => SingI (FoldrSym2 d1 d2 :: TyFun (t a) b -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing (FoldrSym2 d1 d2)
SuppressUnusedWarnings (FoldrSym2 a6989586621680427240 a6989586621680427241 :: TyFun (t a) b -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FoldrSym2 a6989586621680427240 a6989586621680427241 :: TyFun (t a) b -> Type) (a6989586621680427242 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldrSym2 a6989586621680427240 a6989586621680427241 :: TyFun (t a) b -> Type) (a6989586621680427242 :: t a) = Foldr a6989586621680427240 a6989586621680427241 a6989586621680427242

type family FoldrSym3 (a6989586621680427240 :: (~>) a ((~>) b b)) (a6989586621680427241 :: b) (a6989586621680427242 :: t a) :: b where ... Source #

Equations

FoldrSym3 a6989586621680427240 a6989586621680427241 a6989586621680427242 = Foldr a6989586621680427240 a6989586621680427241 a6989586621680427242

data FoldlSym0 :: (~>) ((~>) b ((~>) a b)) ((~>) b ((~>) (t a) b)) Source #

Instances

Instances details

SFoldable t => SingI (FoldlSym0 :: TyFun (b ~> (a ~> b)) (b ~> (t a ~> b)) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing FoldlSym0
SuppressUnusedWarnings (FoldlSym0 :: TyFun (b ~> (a ~> b)) (b ~> (t a ~> b)) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FoldlSym0 :: TyFun (b ~> (a ~> b)) (b ~> (t a ~> b)) -> Type) (a6989586621680427254 :: b ~> (a ~> b)) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldlSym0 :: TyFun (b ~> (a ~> b)) (b ~> (t a ~> b)) -> Type) (a6989586621680427254 :: b ~> (a ~> b)) = FoldlSym1 a6989586621680427254 :: TyFun b (t a ~> b) -> Type

data FoldlSym1 (a6989586621680427254 :: (~>) b ((~>) a b)) :: (~>) b ((~>) (t a) b) Source #

Instances

Instances details

SFoldable t => SingI1 (FoldlSym1 :: (b ~> (a ~> b)) -> TyFun b (t a ~> b) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (FoldlSym1 x)
(SFoldable t, SingI d) => SingI (FoldlSym1 d :: TyFun b (t a ~> b) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing (FoldlSym1 d)
SuppressUnusedWarnings (FoldlSym1 a6989586621680427254 :: TyFun b (t a ~> b) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FoldlSym1 a6989586621680427254 :: TyFun b (t a ~> b) -> Type) (a6989586621680427255 :: b) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldlSym1 a6989586621680427254 :: TyFun b (t a ~> b) -> Type) (a6989586621680427255 :: b) = FoldlSym2 a6989586621680427254 a6989586621680427255 :: TyFun (t a) b -> Type

data FoldlSym2 (a6989586621680427254 :: (~>) b ((~>) a b)) (a6989586621680427255 :: b) :: (~>) (t a) b Source #

Instances

Instances details

(SFoldable t, SingI d) => SingI1 (FoldlSym2 d :: b -> TyFun (t a) b -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (FoldlSym2 d x)
SFoldable t => SingI2 (FoldlSym2 :: (b ~> (a ~> b)) -> b -> TyFun (t a) b -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (FoldlSym2 x y)
(SFoldable t, SingI d1, SingI d2) => SingI (FoldlSym2 d1 d2 :: TyFun (t a) b -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing (FoldlSym2 d1 d2)
SuppressUnusedWarnings (FoldlSym2 a6989586621680427254 a6989586621680427255 :: TyFun (t a) b -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FoldlSym2 a6989586621680427254 a6989586621680427255 :: TyFun (t a) b -> Type) (a6989586621680427256 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldlSym2 a6989586621680427254 a6989586621680427255 :: TyFun (t a) b -> Type) (a6989586621680427256 :: t a) = Foldl a6989586621680427254 a6989586621680427255 a6989586621680427256

type family FoldlSym3 (a6989586621680427254 :: (~>) b ((~>) a b)) (a6989586621680427255 :: b) (a6989586621680427256 :: t a) :: b where ... Source #

Equations

FoldlSym3 a6989586621680427254 a6989586621680427255 a6989586621680427256 = Foldl a6989586621680427254 a6989586621680427255 a6989586621680427256

data Foldr1Sym0 :: (~>) ((~>) a ((~>) a a)) ((~>) (t a) a) Source #

Instances

Instances details

SFoldable t => SingI (Foldr1Sym0 :: TyFun (a ~> (a ~> a)) (t a ~> a) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing Foldr1Sym0
SuppressUnusedWarnings (Foldr1Sym0 :: TyFun (a ~> (a ~> a)) (t a ~> a) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Foldr1Sym0 :: TyFun (a ~> (a ~> a)) (t a ~> a) -> Type) (a6989586621680427267 :: a ~> (a ~> a)) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (Foldr1Sym0 :: TyFun (a ~> (a ~> a)) (t a ~> a) -> Type) (a6989586621680427267 :: a ~> (a ~> a)) = Foldr1Sym1 a6989586621680427267 :: TyFun (t a) a -> Type

data Foldr1Sym1 (a6989586621680427267 :: (~>) a ((~>) a a)) :: (~>) (t a) a Source #

Instances

Instances details

SFoldable t => SingI1 (Foldr1Sym1 :: (a ~> (a ~> a)) -> TyFun (t a) a -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (Foldr1Sym1 x)
(SFoldable t, SingI d) => SingI (Foldr1Sym1 d :: TyFun (t a) a -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing (Foldr1Sym1 d)
SuppressUnusedWarnings (Foldr1Sym1 a6989586621680427267 :: TyFun (t a) a -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Foldr1Sym1 a6989586621680427267 :: TyFun (t a) a -> Type) (a6989586621680427268 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (Foldr1Sym1 a6989586621680427267 :: TyFun (t a) a -> Type) (a6989586621680427268 :: t a) = Foldr1 a6989586621680427267 a6989586621680427268

type family Foldr1Sym2 (a6989586621680427267 :: (~>) a ((~>) a a)) (a6989586621680427268 :: t a) :: a where ... Source #

Equations

Foldr1Sym2 a6989586621680427267 a6989586621680427268 = Foldr1 a6989586621680427267 a6989586621680427268

data Foldl1Sym0 :: (~>) ((~>) a ((~>) a a)) ((~>) (t a) a) Source #

Instances

Instances details

SFoldable t => SingI (Foldl1Sym0 :: TyFun (a ~> (a ~> a)) (t a ~> a) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing Foldl1Sym0
SuppressUnusedWarnings (Foldl1Sym0 :: TyFun (a ~> (a ~> a)) (t a ~> a) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Foldl1Sym0 :: TyFun (a ~> (a ~> a)) (t a ~> a) -> Type) (a6989586621680427272 :: a ~> (a ~> a)) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (Foldl1Sym0 :: TyFun (a ~> (a ~> a)) (t a ~> a) -> Type) (a6989586621680427272 :: a ~> (a ~> a)) = Foldl1Sym1 a6989586621680427272 :: TyFun (t a) a -> Type

data Foldl1Sym1 (a6989586621680427272 :: (~>) a ((~>) a a)) :: (~>) (t a) a Source #

Instances

Instances details

SFoldable t => SingI1 (Foldl1Sym1 :: (a ~> (a ~> a)) -> TyFun (t a) a -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (Foldl1Sym1 x)
(SFoldable t, SingI d) => SingI (Foldl1Sym1 d :: TyFun (t a) a -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing (Foldl1Sym1 d)
SuppressUnusedWarnings (Foldl1Sym1 a6989586621680427272 :: TyFun (t a) a -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Foldl1Sym1 a6989586621680427272 :: TyFun (t a) a -> Type) (a6989586621680427273 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (Foldl1Sym1 a6989586621680427272 :: TyFun (t a) a -> Type) (a6989586621680427273 :: t a) = Foldl1 a6989586621680427272 a6989586621680427273

type family Foldl1Sym2 (a6989586621680427272 :: (~>) a ((~>) a a)) (a6989586621680427273 :: t a) :: a where ... Source #

Equations

Foldl1Sym2 a6989586621680427272 a6989586621680427273 = Foldl1 a6989586621680427272 a6989586621680427273

data MaximumSym0 :: (~>) (t a) a Source #

Instances

Instances details

(SFoldable t, SOrd a) => SingI (MaximumSym0 :: TyFun (t a) a -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing MaximumSym0
SuppressUnusedWarnings (MaximumSym0 :: TyFun (t a) a -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MaximumSym0 :: TyFun (t a) a -> Type) (a6989586621680427290 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (MaximumSym0 :: TyFun (t a) a -> Type) (a6989586621680427290 :: t a) = Maximum a6989586621680427290

type family MaximumSym1 (a6989586621680427290 :: t a) :: a where ... Source #

Equations

MaximumSym1 a6989586621680427290 = Maximum a6989586621680427290

data MinimumSym0 :: (~>) (t a) a Source #

Instances

Instances details

(SFoldable t, SOrd a) => SingI (MinimumSym0 :: TyFun (t a) a -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing MinimumSym0
SuppressUnusedWarnings (MinimumSym0 :: TyFun (t a) a -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MinimumSym0 :: TyFun (t a) a -> Type) (a6989586621680427293 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (MinimumSym0 :: TyFun (t a) a -> Type) (a6989586621680427293 :: t a) = Minimum a6989586621680427293

type family MinimumSym1 (a6989586621680427293 :: t a) :: a where ... Source #

Equations

MinimumSym1 a6989586621680427293 = Minimum a6989586621680427293

data ProductSym0 :: (~>) (t a) a Source #

Instances

Instances details

(SFoldable t, SNum a) => SingI (ProductSym0 :: TyFun (t a) a -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing ProductSym0
SuppressUnusedWarnings (ProductSym0 :: TyFun (t a) a -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ProductSym0 :: TyFun (t a) a -> Type) (a6989586621680427299 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (ProductSym0 :: TyFun (t a) a -> Type) (a6989586621680427299 :: t a) = Product a6989586621680427299

type family ProductSym1 (a6989586621680427299 :: t a) :: a where ... Source #

Equations

ProductSym1 a6989586621680427299 = Product a6989586621680427299

data SumSym0 :: (~>) (t a) a Source #

Instances

Instances details

(SFoldable t, SNum a) => SingI (SumSym0 :: TyFun (t a) a -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing SumSym0
SuppressUnusedWarnings (SumSym0 :: TyFun (t a) a -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (SumSym0 :: TyFun (t a) a -> Type) (a6989586621680427296 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (SumSym0 :: TyFun (t a) a -> Type) (a6989586621680427296 :: t a) = Sum a6989586621680427296

type family SumSym1 (a6989586621680427296 :: t a) :: a where ... Source #

Equations

SumSym1 a6989586621680427296 = Sum a6989586621680427296

data TraverseSym0 :: (~>) ((~>) a (f b)) ((~>) (t a) (f (t b))) Source #

Instances

Instances details

(STraversable t, SApplicative f) => SingI (TraverseSym0 :: TyFun (a ~> f b) (t a ~> f (t b)) -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods sing :: Sing TraverseSym0
SuppressUnusedWarnings (TraverseSym0 :: TyFun (a ~> f b) (t a ~> f (t b)) -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (TraverseSym0 :: TyFun (a ~> f b) (t a ~> f (t b)) -> Type) (a6989586621680777174 :: a ~> f b) Source #
Instance details Defined in Data.Traversable.Singletons type Apply (TraverseSym0 :: TyFun (a ~> f b) (t a ~> f (t b)) -> Type) (a6989586621680777174 :: a ~> f b) = TraverseSym1 a6989586621680777174 :: TyFun (t a) (f (t b)) -> Type

data TraverseSym1 (a6989586621680777174 :: (~>) a (f b)) :: (~>) (t a) (f (t b)) Source #

Instances

Instances details

(STraversable t, SApplicative f) => SingI1 (TraverseSym1 :: (a ~> f b) -> TyFun (t a) (f (t b)) -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (TraverseSym1 x)
(STraversable t, SApplicative f, SingI d) => SingI (TraverseSym1 d :: TyFun (t a) (f (t b)) -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods sing :: Sing (TraverseSym1 d)
SuppressUnusedWarnings (TraverseSym1 a6989586621680777174 :: TyFun (t a) (f (t b)) -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (TraverseSym1 a6989586621680777174 :: TyFun (t a) (f (t b)) -> Type) (a6989586621680777175 :: t a) Source #
Instance details Defined in Data.Traversable.Singletons type Apply (TraverseSym1 a6989586621680777174 :: TyFun (t a) (f (t b)) -> Type) (a6989586621680777175 :: t a) = Traverse a6989586621680777174 a6989586621680777175

type family TraverseSym2 (a6989586621680777174 :: (~>) a (f b)) (a6989586621680777175 :: t a) :: f (t b) where ... Source #

Equations

TraverseSym2 a6989586621680777174 a6989586621680777175 = Traverse a6989586621680777174 a6989586621680777175

data SequenceASym0 :: (~>) (t (f a)) (f (t a)) Source #

Instances

Instances details

(STraversable t, SApplicative f) => SingI (SequenceASym0 :: TyFun (t (f a)) (f (t a)) -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods sing :: Sing SequenceASym0
SuppressUnusedWarnings (SequenceASym0 :: TyFun (t (f a)) (f (t a)) -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (SequenceASym0 :: TyFun (t (f a)) (f (t a)) -> Type) (a6989586621680777178 :: t (f a)) Source #
Instance details Defined in Data.Traversable.Singletons type Apply (SequenceASym0 :: TyFun (t (f a)) (f (t a)) -> Type) (a6989586621680777178 :: t (f a)) = SequenceA a6989586621680777178

type family SequenceASym1 (a6989586621680777178 :: t (f a)) :: f (t a) where ... Source #

Equations

SequenceASym1 a6989586621680777178 = SequenceA a6989586621680777178

data MapMSym0 :: (~>) ((~>) a (m b)) ((~>) (t a) (m (t b))) Source #

Instances

Instances details

(STraversable t, SMonad m) => SingI (MapMSym0 :: TyFun (a ~> m b) (t a ~> m (t b)) -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods sing :: Sing MapMSym0
SuppressUnusedWarnings (MapMSym0 :: TyFun (a ~> m b) (t a ~> m (t b)) -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MapMSym0 :: TyFun (a ~> m b) (t a ~> m (t b)) -> Type) (a6989586621680777182 :: a ~> m b) Source #
Instance details Defined in Data.Traversable.Singletons type Apply (MapMSym0 :: TyFun (a ~> m b) (t a ~> m (t b)) -> Type) (a6989586621680777182 :: a ~> m b) = MapMSym1 a6989586621680777182 :: TyFun (t a) (m (t b)) -> Type

data MapMSym1 (a6989586621680777182 :: (~>) a (m b)) :: (~>) (t a) (m (t b)) Source #

Instances

Instances details

(STraversable t, SMonad m) => SingI1 (MapMSym1 :: (a ~> m b) -> TyFun (t a) (m (t b)) -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (MapMSym1 x)
(STraversable t, SMonad m, SingI d) => SingI (MapMSym1 d :: TyFun (t a) (m (t b)) -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods sing :: Sing (MapMSym1 d)
SuppressUnusedWarnings (MapMSym1 a6989586621680777182 :: TyFun (t a) (m (t b)) -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MapMSym1 a6989586621680777182 :: TyFun (t a) (m (t b)) -> Type) (a6989586621680777183 :: t a) Source #
Instance details Defined in Data.Traversable.Singletons type Apply (MapMSym1 a6989586621680777182 :: TyFun (t a) (m (t b)) -> Type) (a6989586621680777183 :: t a) = MapM a6989586621680777182 a6989586621680777183

type family MapMSym2 (a6989586621680777182 :: (~>) a (m b)) (a6989586621680777183 :: t a) :: m (t b) where ... Source #

Equations

MapMSym2 a6989586621680777182 a6989586621680777183 = MapM a6989586621680777182 a6989586621680777183

data SequenceSym0 :: (~>) (t (m a)) (m (t a)) Source #

Instances

Instances details

(STraversable t, SMonad m) => SingI (SequenceSym0 :: TyFun (t (m a)) (m (t a)) -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods sing :: Sing SequenceSym0
SuppressUnusedWarnings (SequenceSym0 :: TyFun (t (m a)) (m (t a)) -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (SequenceSym0 :: TyFun (t (m a)) (m (t a)) -> Type) (a6989586621680777186 :: t (m a)) Source #
Instance details Defined in Data.Traversable.Singletons type Apply (SequenceSym0 :: TyFun (t (m a)) (m (t a)) -> Type) (a6989586621680777186 :: t (m a)) = Sequence a6989586621680777186

type family SequenceSym1 (a6989586621680777186 :: t (m a)) :: m (t a) where ... Source #

Equations

SequenceSym1 a6989586621680777186 = Sequence a6989586621680777186

Miscellaneous functions

data IdSym0 :: (~>) a a Source #

Instances

Instances details

SingI (IdSym0 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing IdSym0
SuppressUnusedWarnings (IdSym0 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (IdSym0 :: TyFun a a -> Type) (a6989586621679287767 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (IdSym0 :: TyFun a a -> Type) (a6989586621679287767 :: a) = Id a6989586621679287767

type family IdSym1 (a6989586621679287767 :: a) :: a where ... Source #

Equations

IdSym1 a6989586621679287767 = Id a6989586621679287767

data ConstSym0 :: (~>) a ((~>) b a) Source #

Instances

Instances details

SingI (ConstSym0 :: TyFun a (b ~> a) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing ConstSym0
SuppressUnusedWarnings (ConstSym0 :: TyFun a (b ~> a) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ConstSym0 :: TyFun a (b ~> a) -> Type) (a6989586621679287762 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (ConstSym0 :: TyFun a (b ~> a) -> Type) (a6989586621679287762 :: a) = ConstSym1 a6989586621679287762 :: TyFun b a -> Type

data ConstSym1 (a6989586621679287762 :: a) :: (~>) b a Source #

Instances

Instances details

SingI1 (ConstSym1 :: a -> TyFun b a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ConstSym1 x)
SingI d => SingI (ConstSym1 d :: TyFun b a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (ConstSym1 d)
SuppressUnusedWarnings (ConstSym1 a6989586621679287762 :: TyFun b a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ConstSym1 a6989586621679287762 :: TyFun b a -> Type) (a6989586621679287763 :: b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (ConstSym1 a6989586621679287762 :: TyFun b a -> Type) (a6989586621679287763 :: b) = Const a6989586621679287762 a6989586621679287763

type family ConstSym2 (a6989586621679287762 :: a) (a6989586621679287763 :: b) :: a where ... Source #

Equations

ConstSym2 a6989586621679287762 a6989586621679287763 = Const a6989586621679287762 a6989586621679287763

data (.@#@$) :: (~>) ((~>) b c) ((~>) ((~>) a b) ((~>) a c)) infixr 9 Source #

Instances

Instances details

SingI ((.@#@$) :: TyFun (b ~> c) ((a ~> b) ~> (a ~> c)) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (.@#@$)
SuppressUnusedWarnings ((.@#@$) :: TyFun (b ~> c) ((a ~> b) ~> (a ~> c)) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((.@#@$) :: TyFun (b ~> c) ((a ~> b) ~> (a ~> c)) -> Type) (a6989586621679287749 :: b ~> c) Source #
Instance details Defined in GHC.Base.Singletons type Apply ((.@#@$) :: TyFun (b ~> c) ((a ~> b) ~> (a ~> c)) -> Type) (a6989586621679287749 :: b ~> c) = (.@#@$$) a6989586621679287749 :: TyFun (a ~> b) (a ~> c) -> Type

data (.@#@$$) (a6989586621679287749 :: (~>) b c) :: (~>) ((~>) a b) ((~>) a c) infixr 9 Source #

Instances

Instances details

SingI1 ((.@#@$$) :: (b ~> c) -> TyFun (a ~> b) (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing ((.@#@$$) x)
SingI d => SingI ((.@#@$$) d :: TyFun (a ~> b) (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing ((.@#@$$) d)
SuppressUnusedWarnings ((.@#@$$) a6989586621679287749 :: TyFun (a ~> b) (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((.@#@$$) a6989586621679287749 :: TyFun (a ~> b) (a ~> c) -> Type) (a6989586621679287750 :: a ~> b) Source #
Instance details Defined in GHC.Base.Singletons type Apply ((.@#@$$) a6989586621679287749 :: TyFun (a ~> b) (a ~> c) -> Type) (a6989586621679287750 :: a ~> b) = a6989586621679287749 .@#@$$$ a6989586621679287750

data (a6989586621679287749 :: (~>) b c) .@#@$$$ (a6989586621679287750 :: (~>) a b) :: (~>) a c infixr 9 Source #

Instances

Instances details

SingI2 ((.@#@$$$) :: (b ~> c) -> (a ~> b) -> TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (x .@#@$$$ y)
SingI d => SingI1 ((.@#@$$$) d :: (a ~> b) -> TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (d .@#@$$$ x)
(SingI d1, SingI d2) => SingI (d1 .@#@$$$ d2 :: TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (d1 .@#@$$$ d2)
SuppressUnusedWarnings (a6989586621679287749 .@#@$$$ a6989586621679287750 :: TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (a6989586621679287749 .@#@$$$ a6989586621679287750 :: TyFun a c -> Type) (a6989586621679287751 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (a6989586621679287749 .@#@$$$ a6989586621679287750 :: TyFun a c -> Type) (a6989586621679287751 :: a) = (a6989586621679287749 . a6989586621679287750) a6989586621679287751

type family ((a6989586621679287749 :: (~>) b c) .@#@$$$$ (a6989586621679287750 :: (~>) a b)) (a6989586621679287751 :: a) :: c where ... infixr 9 Source #

Equations

(a6989586621679287749 .@#@$$$$ a6989586621679287750) a6989586621679287751 = (.) a6989586621679287749 a6989586621679287750 a6989586621679287751

data FlipSym0 :: (~>) ((~>) a ((~>) b c)) ((~>) b ((~>) a c)) Source #

Instances

Instances details

SingI (FlipSym0 :: TyFun (a ~> (b ~> c)) (b ~> (a ~> c)) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing FlipSym0
SuppressUnusedWarnings (FlipSym0 :: TyFun (a ~> (b ~> c)) (b ~> (a ~> c)) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FlipSym0 :: TyFun (a ~> (b ~> c)) (b ~> (a ~> c)) -> Type) (a6989586621679287737 :: a ~> (b ~> c)) Source #
Instance details Defined in GHC.Base.Singletons type Apply (FlipSym0 :: TyFun (a ~> (b ~> c)) (b ~> (a ~> c)) -> Type) (a6989586621679287737 :: a ~> (b ~> c)) = FlipSym1 a6989586621679287737

data FlipSym1 (a6989586621679287737 :: (~>) a ((~>) b c)) :: (~>) b ((~>) a c) Source #

Instances

Instances details

SingI1 (FlipSym1 :: (a ~> (b ~> c)) -> TyFun b (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (FlipSym1 x)
SingI d => SingI (FlipSym1 d :: TyFun b (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (FlipSym1 d)
SuppressUnusedWarnings (FlipSym1 a6989586621679287737 :: TyFun b (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FlipSym1 a6989586621679287737 :: TyFun b (a ~> c) -> Type) (a6989586621679287738 :: b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (FlipSym1 a6989586621679287737 :: TyFun b (a ~> c) -> Type) (a6989586621679287738 :: b) = FlipSym2 a6989586621679287737 a6989586621679287738

data FlipSym2 (a6989586621679287737 :: (~>) a ((~>) b c)) (a6989586621679287738 :: b) :: (~>) a c Source #

Instances

Instances details

SingI d => SingI1 (FlipSym2 d :: b -> TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (FlipSym2 d x)
SingI2 (FlipSym2 :: (a ~> (b ~> c)) -> b -> TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (FlipSym2 x y)
(SingI d1, SingI d2) => SingI (FlipSym2 d1 d2 :: TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (FlipSym2 d1 d2)
SuppressUnusedWarnings (FlipSym2 a6989586621679287737 a6989586621679287738 :: TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FlipSym2 a6989586621679287737 a6989586621679287738 :: TyFun a c -> Type) (a6989586621679287739 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (FlipSym2 a6989586621679287737 a6989586621679287738 :: TyFun a c -> Type) (a6989586621679287739 :: a) = Flip a6989586621679287737 a6989586621679287738 a6989586621679287739

type family FlipSym3 (a6989586621679287737 :: (~>) a ((~>) b c)) (a6989586621679287738 :: b) (a6989586621679287739 :: a) :: c where ... Source #

Equations

FlipSym3 a6989586621679287737 a6989586621679287738 a6989586621679287739 = Flip a6989586621679287737 a6989586621679287738 a6989586621679287739

data ($@#@$) :: (~>) ((~>) a b) ((~>) a b) infixr 0 Source #

Instances

Instances details

SingI (($@#@$) :: TyFun (a ~> b) (a ~> b) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing ($@#@$)
SuppressUnusedWarnings (($@#@$) :: TyFun (a ~> b) (a ~> b) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (($@#@$) :: TyFun (a ~> b) (a ~> b) -> Type) (a6989586621679287718 :: a ~> b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (($@#@$) :: TyFun (a ~> b) (a ~> b) -> Type) (a6989586621679287718 :: a ~> b) = ($@#@$$) a6989586621679287718

data ($@#@$$) (a6989586621679287718 :: (~>) a b) :: (~>) a b infixr 0 Source #

Instances

Instances details

SingI1 (($@#@$$) :: (a ~> b) -> TyFun a b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (($@#@$$) x)
SingI d => SingI (($@#@$$) d :: TyFun a b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (($@#@$$) d)
SuppressUnusedWarnings (($@#@$$) a6989586621679287718 :: TyFun a b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (($@#@$$) a6989586621679287718 :: TyFun a b -> Type) (a6989586621679287719 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (($@#@$$) a6989586621679287718 :: TyFun a b -> Type) (a6989586621679287719 :: a) = a6989586621679287718 $ a6989586621679287719

type family (a6989586621679287718 :: (~>) a b) $@#@$$$ (a6989586621679287719 :: a) :: b where ... infixr 0 Source #

Equations

a6989586621679287718 $@#@$$$ a6989586621679287719 = ($) a6989586621679287718 a6989586621679287719

data UntilSym0 :: (~>) ((~>) a Bool) ((~>) ((~>) a a) ((~>) a a)) Source #

Instances

Instances details

SingI (UntilSym0 :: TyFun (a ~> Bool) ((a ~> a) ~> (a ~> a)) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing UntilSym0
SuppressUnusedWarnings (UntilSym0 :: TyFun (a ~> Bool) ((a ~> a) ~> (a ~> a)) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (UntilSym0 :: TyFun (a ~> Bool) ((a ~> a) ~> (a ~> a)) -> Type) (a6989586621679287691 :: a ~> Bool) Source #
Instance details Defined in GHC.Base.Singletons type Apply (UntilSym0 :: TyFun (a ~> Bool) ((a ~> a) ~> (a ~> a)) -> Type) (a6989586621679287691 :: a ~> Bool) = UntilSym1 a6989586621679287691

data UntilSym1 (a6989586621679287691 :: (~>) a Bool) :: (~>) ((~>) a a) ((~>) a a) Source #

Instances

Instances details

SingI d => SingI (UntilSym1 d :: TyFun (a ~> a) (a ~> a) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (UntilSym1 d)
SuppressUnusedWarnings (UntilSym1 a6989586621679287691 :: TyFun (a ~> a) (a ~> a) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
SingI1 (UntilSym1 :: (a ~> Bool) -> TyFun (a ~> a) (a ~> a) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (UntilSym1 x)
type Apply (UntilSym1 a6989586621679287691 :: TyFun (a ~> a) (a ~> a) -> Type) (a6989586621679287692 :: a ~> a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (UntilSym1 a6989586621679287691 :: TyFun (a ~> a) (a ~> a) -> Type) (a6989586621679287692 :: a ~> a) = UntilSym2 a6989586621679287691 a6989586621679287692

data UntilSym2 (a6989586621679287691 :: (~>) a Bool) (a6989586621679287692 :: (~>) a a) :: (~>) a a Source #

Instances

Instances details

SingI d => SingI1 (UntilSym2 d :: (a ~> a) -> TyFun a a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (UntilSym2 d x)
SingI2 (UntilSym2 :: (a ~> Bool) -> (a ~> a) -> TyFun a a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (UntilSym2 x y)
(SingI d1, SingI d2) => SingI (UntilSym2 d1 d2 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (UntilSym2 d1 d2)
SuppressUnusedWarnings (UntilSym2 a6989586621679287691 a6989586621679287692 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (UntilSym2 a6989586621679287691 a6989586621679287692 :: TyFun a a -> Type) (a6989586621679287693 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (UntilSym2 a6989586621679287691 a6989586621679287692 :: TyFun a a -> Type) (a6989586621679287693 :: a) = Until a6989586621679287691 a6989586621679287692 a6989586621679287693

type family UntilSym3 (a6989586621679287691 :: (~>) a Bool) (a6989586621679287692 :: (~>) a a) (a6989586621679287693 :: a) :: a where ... Source #

Equations

UntilSym3 a6989586621679287691 a6989586621679287692 a6989586621679287693 = Until a6989586621679287691 a6989586621679287692 a6989586621679287693

data AsTypeOfSym0 :: (~>) a ((~>) a a) Source #

Instances

Instances details

SingI (AsTypeOfSym0 :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing AsTypeOfSym0
SuppressUnusedWarnings (AsTypeOfSym0 :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (AsTypeOfSym0 :: TyFun a (a ~> a) -> Type) (a6989586621679287729 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (AsTypeOfSym0 :: TyFun a (a ~> a) -> Type) (a6989586621679287729 :: a) = AsTypeOfSym1 a6989586621679287729

data AsTypeOfSym1 (a6989586621679287729 :: a) :: (~>) a a Source #

Instances

Instances details

SingI1 (AsTypeOfSym1 :: a -> TyFun a a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (AsTypeOfSym1 x)
SingI d => SingI (AsTypeOfSym1 d :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (AsTypeOfSym1 d)
SuppressUnusedWarnings (AsTypeOfSym1 a6989586621679287729 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (AsTypeOfSym1 a6989586621679287729 :: TyFun a a -> Type) (a6989586621679287730 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (AsTypeOfSym1 a6989586621679287729 :: TyFun a a -> Type) (a6989586621679287730 :: a) = AsTypeOf a6989586621679287729 a6989586621679287730

type family AsTypeOfSym2 (a6989586621679287729 :: a) (a6989586621679287730 :: a) :: a where ... Source #

Equations

AsTypeOfSym2 a6989586621679287729 a6989586621679287730 = AsTypeOf a6989586621679287729 a6989586621679287730

data ErrorSym0 :: (~>) k0 k Source #

Instances

Instances details

SingI (ErrorSym0 :: TyFun Symbol a -> Type) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sing :: Sing ErrorSym0
SuppressUnusedWarnings (ErrorSym0 :: TyFun k0 k -> Type) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ErrorSym0 :: TyFun k0 k2 -> Type) (a6989586621679545715 :: k0) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Apply (ErrorSym0 :: TyFun k0 k2 -> Type) (a6989586621679545715 :: k0) = Error a6989586621679545715 :: k2

type family ErrorSym1 (a6989586621679545715 :: k0) :: k where ... Source #

Equations

ErrorSym1 a6989586621679545715 = Error a6989586621679545715

data ErrorWithoutStackTraceSym0 :: (~>) k0 k Source #

Instances

Instances details

SingI (ErrorWithoutStackTraceSym0 :: TyFun Symbol a -> Type) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sing :: Sing ErrorWithoutStackTraceSym0
SuppressUnusedWarnings (ErrorWithoutStackTraceSym0 :: TyFun k0 k -> Type) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ErrorWithoutStackTraceSym0 :: TyFun k0 k2 -> Type) (a6989586621679545983 :: k0) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Apply (ErrorWithoutStackTraceSym0 :: TyFun k0 k2 -> Type) (a6989586621679545983 :: k0) = ErrorWithoutStackTrace a6989586621679545983 :: k2

type family ErrorWithoutStackTraceSym1 (a6989586621679545983 :: k0) :: k where ... Source #

Equations

ErrorWithoutStackTraceSym1 a6989586621679545983 = ErrorWithoutStackTrace a6989586621679545983

type family UndefinedSym0 :: k where ... Source #

Equations

UndefinedSym0 = Undefined

data SeqSym0 :: (~>) a ((~>) b b) infixr 0 Source #

Instances

Instances details

SingI (SeqSym0 :: TyFun a (b ~> b) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing SeqSym0
SuppressUnusedWarnings (SeqSym0 :: TyFun a (b ~> b) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (SeqSym0 :: TyFun a (b ~> b) -> Type) (a6989586621679287682 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (SeqSym0 :: TyFun a (b ~> b) -> Type) (a6989586621679287682 :: a) = SeqSym1 a6989586621679287682 :: TyFun b b -> Type

data SeqSym1 (a6989586621679287682 :: a) :: (~>) b b infixr 0 Source #

Instances

Instances details

SingI1 (SeqSym1 :: a -> TyFun b b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (SeqSym1 x)
SingI d => SingI (SeqSym1 d :: TyFun b b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (SeqSym1 d)
SuppressUnusedWarnings (SeqSym1 a6989586621679287682 :: TyFun b b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (SeqSym1 a6989586621679287682 :: TyFun b b -> Type) (a6989586621679287683 :: b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (SeqSym1 a6989586621679287682 :: TyFun b b -> Type) (a6989586621679287683 :: b) = Seq a6989586621679287682 a6989586621679287683

type family SeqSym2 (a6989586621679287682 :: a) (a6989586621679287683 :: b) :: b where ... infixr 0 Source #

Equations

SeqSym2 a6989586621679287682 a6989586621679287683 = Seq a6989586621679287682 a6989586621679287683

data ($!@#@$) :: (~>) ((~>) a b) ((~>) a b) infixr 0 Source #

Instances

Instances details

SingI (($!@#@$) :: TyFun (a ~> b) (a ~> b) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing ($!@#@$)
SuppressUnusedWarnings (($!@#@$) :: TyFun (a ~> b) (a ~> b) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (($!@#@$) :: TyFun (a ~> b) (a ~> b) -> Type) (a6989586621679287709 :: a ~> b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (($!@#@$) :: TyFun (a ~> b) (a ~> b) -> Type) (a6989586621679287709 :: a ~> b) = ($!@#@$$) a6989586621679287709

data ($!@#@$$) (a6989586621679287709 :: (~>) a b) :: (~>) a b infixr 0 Source #

Instances

Instances details

SingI1 (($!@#@$$) :: (a ~> b) -> TyFun a b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (($!@#@$$) x)
SingI d => SingI (($!@#@$$) d :: TyFun a b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (($!@#@$$) d)
SuppressUnusedWarnings (($!@#@$$) a6989586621679287709 :: TyFun a b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (($!@#@$$) a6989586621679287709 :: TyFun a b -> Type) (a6989586621679287710 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (($!@#@$$) a6989586621679287709 :: TyFun a b -> Type) (a6989586621679287710 :: a) = a6989586621679287709 $! a6989586621679287710

type family (a6989586621679287709 :: (~>) a b) $!@#@$$$ (a6989586621679287710 :: a) :: b where ... infixr 0 Source #

Equations

a6989586621679287709 $!@#@$$$ a6989586621679287710 = ($!) a6989586621679287709 a6989586621679287710

List operations

data MapSym0 :: (~>) ((~>) a b) ((~>) [a] [b]) Source #

Instances

Instances details

SingI (MapSym0 :: TyFun (a ~> b) ([a] ~> [b]) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing MapSym0
SuppressUnusedWarnings (MapSym0 :: TyFun (a ~> b) ([a] ~> [b]) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MapSym0 :: TyFun (a ~> b) ([a] ~> [b]) -> Type) (a6989586621679287781 :: a ~> b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (MapSym0 :: TyFun (a ~> b) ([a] ~> [b]) -> Type) (a6989586621679287781 :: a ~> b) = MapSym1 a6989586621679287781

data MapSym1 (a6989586621679287781 :: (~>) a b) :: (~>) [a] [b] Source #

Instances

Instances details

SingI1 (MapSym1 :: (a ~> b) -> TyFun [a] [b] -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (MapSym1 x)
SingI d => SingI (MapSym1 d :: TyFun [a] [b] -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (MapSym1 d)
SuppressUnusedWarnings (MapSym1 a6989586621679287781 :: TyFun [a] [b] -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MapSym1 a6989586621679287781 :: TyFun [a] [b] -> Type) (a6989586621679287782 :: [a]) Source #
Instance details Defined in GHC.Base.Singletons type Apply (MapSym1 a6989586621679287781 :: TyFun [a] [b] -> Type) (a6989586621679287782 :: [a]) = Map a6989586621679287781 a6989586621679287782

type family MapSym2 (a6989586621679287781 :: (~>) a b) (a6989586621679287782 :: [a]) :: [b] where ... Source #

Equations

MapSym2 a6989586621679287781 a6989586621679287782 = Map a6989586621679287781 a6989586621679287782

data (++@#@$) :: (~>) [a] ((~>) [a] [a]) infixr 5 Source #

Instances

Instances details

SingI ((++@#@$) :: TyFun [a] ([a] ~> [a]) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (++@#@$)
SuppressUnusedWarnings ((++@#@$) :: TyFun [a] ([a] ~> [a]) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((++@#@$) :: TyFun [a] ([a] ~> [a]) -> Type) (a6989586621679287772 :: [a]) Source #
Instance details Defined in GHC.Base.Singletons type Apply ((++@#@$) :: TyFun [a] ([a] ~> [a]) -> Type) (a6989586621679287772 :: [a]) = (++@#@$$) a6989586621679287772

data (++@#@$$) (a6989586621679287772 :: [a]) :: (~>) [a] [a] infixr 5 Source #

Instances

Instances details

SingI1 ((++@#@$$) :: [a] -> TyFun [a] [a] -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing ((++@#@$$) x)
SingI d => SingI ((++@#@$$) d :: TyFun [a] [a] -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing ((++@#@$$) d)
SuppressUnusedWarnings ((++@#@$$) a6989586621679287772 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((++@#@$$) a6989586621679287772 :: TyFun [a] [a] -> Type) (a6989586621679287773 :: [a]) Source #
Instance details Defined in GHC.Base.Singletons type Apply ((++@#@$$) a6989586621679287772 :: TyFun [a] [a] -> Type) (a6989586621679287773 :: [a]) = a6989586621679287772 ++ a6989586621679287773

type family (a6989586621679287772 :: [a]) ++@#@$$$ (a6989586621679287773 :: [a]) :: [a] where ... infixr 5 Source #

Equations

a6989586621679287772 ++@#@$$$ a6989586621679287773 = (++) a6989586621679287772 a6989586621679287773

data FilterSym0 :: (~>) ((~>) a Bool) ((~>) [a] [a]) Source #

Instances

Instances details

SingI (FilterSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing FilterSym0
SuppressUnusedWarnings (FilterSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (FilterSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) (a6989586621679848419 :: a ~> Bool) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (FilterSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) (a6989586621679848419 :: a ~> Bool) = FilterSym1 a6989586621679848419

data FilterSym1 (a6989586621679848419 :: (~>) a Bool) :: (~>) [a] [a] Source #

Instances

Instances details

SingI d => SingI (FilterSym1 d :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (FilterSym1 d)
SuppressUnusedWarnings (FilterSym1 a6989586621679848419 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
SingI1 (FilterSym1 :: (a ~> Bool) -> TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (FilterSym1 x)
type Apply (FilterSym1 a6989586621679848419 :: TyFun [a] [a] -> Type) (a6989586621679848420 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (FilterSym1 a6989586621679848419 :: TyFun [a] [a] -> Type) (a6989586621679848420 :: [a]) = Filter a6989586621679848419 a6989586621679848420

type family FilterSym2 (a6989586621679848419 :: (~>) a Bool) (a6989586621679848420 :: [a]) :: [a] where ... Source #

Equations

FilterSym2 a6989586621679848419 a6989586621679848420 = Filter a6989586621679848419 a6989586621679848420

data HeadSym0 :: (~>) [a] a Source #

Instances

Instances details

SingI (HeadSym0 :: TyFun [a] a -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing HeadSym0
SuppressUnusedWarnings (HeadSym0 :: TyFun [a] a -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (HeadSym0 :: TyFun [a] a -> Type) (a6989586621679849189 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (HeadSym0 :: TyFun [a] a -> Type) (a6989586621679849189 :: [a]) = Head a6989586621679849189

type family HeadSym1 (a6989586621679849189 :: [a]) :: a where ... Source #

Equations

HeadSym1 a6989586621679849189 = Head a6989586621679849189

data LastSym0 :: (~>) [a] a Source #

Instances

Instances details

SingI (LastSym0 :: TyFun [a] a -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing LastSym0
SuppressUnusedWarnings (LastSym0 :: TyFun [a] a -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (LastSym0 :: TyFun [a] a -> Type) (a6989586621679849183 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (LastSym0 :: TyFun [a] a -> Type) (a6989586621679849183 :: [a]) = Last a6989586621679849183

type family LastSym1 (a6989586621679849183 :: [a]) :: a where ... Source #

Equations

LastSym1 a6989586621679849183 = Last a6989586621679849183

data TailSym0 :: (~>) [a] [a] Source #

Instances

Instances details

SingI (TailSym0 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing TailSym0
SuppressUnusedWarnings (TailSym0 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (TailSym0 :: TyFun [a] [a] -> Type) (a6989586621679849179 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (TailSym0 :: TyFun [a] [a] -> Type) (a6989586621679849179 :: [a]) = Tail a6989586621679849179

type family TailSym1 (a6989586621679849179 :: [a]) :: [a] where ... Source #

Equations

TailSym1 a6989586621679849179 = Tail a6989586621679849179

data InitSym0 :: (~>) [a] [a] Source #

Instances

Instances details

SingI (InitSym0 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing InitSym0
SuppressUnusedWarnings (InitSym0 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (InitSym0 :: TyFun [a] [a] -> Type) (a6989586621679849167 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (InitSym0 :: TyFun [a] [a] -> Type) (a6989586621679849167 :: [a]) = Init a6989586621679849167

type family InitSym1 (a6989586621679849167 :: [a]) :: [a] where ... Source #

Equations

InitSym1 a6989586621679849167 = Init a6989586621679849167

data (!!@#@$) :: (~>) [a] ((~>) Natural a) infixl 9 Source #

Instances

Instances details

SingI ((!!@#@$) :: TyFun [a] (Natural ~> a) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (!!@#@$)
SuppressUnusedWarnings ((!!@#@$) :: TyFun [a] (Natural ~> a) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((!!@#@$) :: TyFun [a] (Natural ~> a) -> Type) (a6989586621679848027 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply ((!!@#@$) :: TyFun [a] (Natural ~> a) -> Type) (a6989586621679848027 :: [a]) = (!!@#@$$) a6989586621679848027

data (!!@#@$$) (a6989586621679848027 :: [a]) :: (~>) Natural a infixl 9 Source #

Instances

Instances details

SingI1 ((!!@#@$$) :: [a] -> TyFun Natural a -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing ((!!@#@$$) x)
SingI d => SingI ((!!@#@$$) d :: TyFun Natural a -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing ((!!@#@$$) d)
SuppressUnusedWarnings ((!!@#@$$) a6989586621679848027 :: TyFun Natural a -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((!!@#@$$) a6989586621679848027 :: TyFun Natural a -> Type) (a6989586621679848028 :: Natural) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply ((!!@#@$$) a6989586621679848027 :: TyFun Natural a -> Type) (a6989586621679848028 :: Natural) = a6989586621679848027 !! a6989586621679848028

type family (a6989586621679848027 :: [a]) !!@#@$$$ (a6989586621679848028 :: Natural) :: a where ... infixl 9 Source #

Equations

a6989586621679848027 !!@#@$$$ a6989586621679848028 = (!!) a6989586621679848027 a6989586621679848028

data NullSym0 :: (~>) (t a) Bool Source #

Instances

Instances details

SFoldable t => SingI (NullSym0 :: TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing NullSym0
SuppressUnusedWarnings (NullSym0 :: TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (NullSym0 :: TyFun (t a) Bool -> Type) (a6989586621680427279 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (NullSym0 :: TyFun (t a) Bool -> Type) (a6989586621680427279 :: t a) = Null a6989586621680427279

type family NullSym1 (a6989586621680427279 :: t a) :: Bool where ... Source #

Equations

NullSym1 a6989586621680427279 = Null a6989586621680427279

data LengthSym0 :: (~>) (t a) Natural Source #

Instances

Instances details

SFoldable t => SingI (LengthSym0 :: TyFun (t a) Natural -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing LengthSym0
SuppressUnusedWarnings (LengthSym0 :: TyFun (t a) Natural -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (LengthSym0 :: TyFun (t a) Natural -> Type) (a6989586621680427282 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (LengthSym0 :: TyFun (t a) Natural -> Type) (a6989586621680427282 :: t a) = Length a6989586621680427282

type family LengthSym1 (a6989586621680427282 :: t a) :: Natural where ... Source #

Equations

LengthSym1 a6989586621680427282 = Length a6989586621680427282

data ReverseSym0 :: (~>) [a] [a] Source #

Instances

Instances details

SingI (ReverseSym0 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing ReverseSym0
SuppressUnusedWarnings (ReverseSym0 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ReverseSym0 :: TyFun [a] [a] -> Type) (a6989586621679849152 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ReverseSym0 :: TyFun [a] [a] -> Type) (a6989586621679849152 :: [a]) = Reverse a6989586621679849152

type family ReverseSym1 (a6989586621679849152 :: [a]) :: [a] where ... Source #

Equations

ReverseSym1 a6989586621679849152 = Reverse a6989586621679849152

Special folds

data AndSym0 :: (~>) (t Bool) Bool Source #

Instances

Instances details

SFoldable t => SingI (AndSym0 :: TyFun (t Bool) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing AndSym0
SuppressUnusedWarnings (AndSym0 :: TyFun (t Bool) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (AndSym0 :: TyFun (t Bool) Bool -> Type) (a6989586621680427105 :: t Bool) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (AndSym0 :: TyFun (t Bool) Bool -> Type) (a6989586621680427105 :: t Bool) = And a6989586621680427105

type family AndSym1 (a6989586621680427105 :: t Bool) :: Bool where ... Source #

Equations

AndSym1 a6989586621680427105 = And a6989586621680427105

data OrSym0 :: (~>) (t Bool) Bool Source #

Instances

Instances details

SFoldable t => SingI (OrSym0 :: TyFun (t Bool) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing OrSym0
SuppressUnusedWarnings (OrSym0 :: TyFun (t Bool) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (OrSym0 :: TyFun (t Bool) Bool -> Type) (a6989586621680427099 :: t Bool) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (OrSym0 :: TyFun (t Bool) Bool -> Type) (a6989586621680427099 :: t Bool) = Or a6989586621680427099

type family OrSym1 (a6989586621680427099 :: t Bool) :: Bool where ... Source #

Equations

OrSym1 a6989586621680427099 = Or a6989586621680427099

data AnySym0 :: (~>) ((~>) a Bool) ((~>) (t a) Bool) Source #

Instances

Instances details

SFoldable t => SingI (AnySym0 :: TyFun (a ~> Bool) (t a ~> Bool) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing AnySym0
SuppressUnusedWarnings (AnySym0 :: TyFun (a ~> Bool) (t a ~> Bool) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (AnySym0 :: TyFun (a ~> Bool) (t a ~> Bool) -> Type) (a6989586621680427091 :: a ~> Bool) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (AnySym0 :: TyFun (a ~> Bool) (t a ~> Bool) -> Type) (a6989586621680427091 :: a ~> Bool) = AnySym1 a6989586621680427091 :: TyFun (t a) Bool -> Type

data AnySym1 (a6989586621680427091 :: (~>) a Bool) :: (~>) (t a) Bool Source #

Instances

Instances details

SFoldable t => SingI1 (AnySym1 :: (a ~> Bool) -> TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (AnySym1 x)
(SFoldable t, SingI d) => SingI (AnySym1 d :: TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing (AnySym1 d)
SuppressUnusedWarnings (AnySym1 a6989586621680427091 :: TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (AnySym1 a6989586621680427091 :: TyFun (t a) Bool -> Type) (a6989586621680427092 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (AnySym1 a6989586621680427091 :: TyFun (t a) Bool -> Type) (a6989586621680427092 :: t a) = Any a6989586621680427091 a6989586621680427092

type family AnySym2 (a6989586621680427091 :: (~>) a Bool) (a6989586621680427092 :: t a) :: Bool where ... Source #

Equations

AnySym2 a6989586621680427091 a6989586621680427092 = Any a6989586621680427091 a6989586621680427092

data AllSym0 :: (~>) ((~>) a Bool) ((~>) (t a) Bool) Source #

Instances

Instances details

SFoldable t => SingI (AllSym0 :: TyFun (a ~> Bool) (t a ~> Bool) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing AllSym0
SuppressUnusedWarnings (AllSym0 :: TyFun (a ~> Bool) (t a ~> Bool) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (AllSym0 :: TyFun (a ~> Bool) (t a ~> Bool) -> Type) (a6989586621680427082 :: a ~> Bool) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (AllSym0 :: TyFun (a ~> Bool) (t a ~> Bool) -> Type) (a6989586621680427082 :: a ~> Bool) = AllSym1 a6989586621680427082 :: TyFun (t a) Bool -> Type

data AllSym1 (a6989586621680427082 :: (~>) a Bool) :: (~>) (t a) Bool Source #

Instances

Instances details

SFoldable t => SingI1 (AllSym1 :: (a ~> Bool) -> TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (AllSym1 x)
(SFoldable t, SingI d) => SingI (AllSym1 d :: TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing (AllSym1 d)
SuppressUnusedWarnings (AllSym1 a6989586621680427082 :: TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (AllSym1 a6989586621680427082 :: TyFun (t a) Bool -> Type) (a6989586621680427083 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (AllSym1 a6989586621680427082 :: TyFun (t a) Bool -> Type) (a6989586621680427083 :: t a) = All a6989586621680427082 a6989586621680427083

type family AllSym2 (a6989586621680427082 :: (~>) a Bool) (a6989586621680427083 :: t a) :: Bool where ... Source #

Equations

AllSym2 a6989586621680427082 a6989586621680427083 = All a6989586621680427082 a6989586621680427083

data ConcatSym0 :: (~>) (t [a]) [a] Source #

Instances

Instances details

SFoldable t => SingI (ConcatSym0 :: TyFun (t [a]) [a] -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing ConcatSym0
SuppressUnusedWarnings (ConcatSym0 :: TyFun (t [a]) [a] -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ConcatSym0 :: TyFun (t [a]) [a] -> Type) (a6989586621680427121 :: t [a]) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (ConcatSym0 :: TyFun (t [a]) [a] -> Type) (a6989586621680427121 :: t [a]) = Concat a6989586621680427121

type family ConcatSym1 (a6989586621680427121 :: t [a]) :: [a] where ... Source #

Equations

ConcatSym1 a6989586621680427121 = Concat a6989586621680427121

data ConcatMapSym0 :: (~>) ((~>) a [b]) ((~>) (t a) [b]) Source #

Instances

Instances details

SFoldable t => SingI (ConcatMapSym0 :: TyFun (a ~> [b]) (t a ~> [b]) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing ConcatMapSym0
SuppressUnusedWarnings (ConcatMapSym0 :: TyFun (a ~> [b]) (t a ~> [b]) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ConcatMapSym0 :: TyFun (a ~> [b]) (t a ~> [b]) -> Type) (a6989586621680427110 :: a ~> [b]) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (ConcatMapSym0 :: TyFun (a ~> [b]) (t a ~> [b]) -> Type) (a6989586621680427110 :: a ~> [b]) = ConcatMapSym1 a6989586621680427110 :: TyFun (t a) [b] -> Type

data ConcatMapSym1 (a6989586621680427110 :: (~>) a [b]) :: (~>) (t a) [b] Source #

Instances

Instances details

SFoldable t => SingI1 (ConcatMapSym1 :: (a ~> [b]) -> TyFun (t a) [b] -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ConcatMapSym1 x)
(SFoldable t, SingI d) => SingI (ConcatMapSym1 d :: TyFun (t a) [b] -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing (ConcatMapSym1 d)
SuppressUnusedWarnings (ConcatMapSym1 a6989586621680427110 :: TyFun (t a) [b] -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ConcatMapSym1 a6989586621680427110 :: TyFun (t a) [b] -> Type) (a6989586621680427111 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (ConcatMapSym1 a6989586621680427110 :: TyFun (t a) [b] -> Type) (a6989586621680427111 :: t a) = ConcatMap a6989586621680427110 a6989586621680427111

type family ConcatMapSym2 (a6989586621680427110 :: (~>) a [b]) (a6989586621680427111 :: t a) :: [b] where ... Source #

Equations

ConcatMapSym2 a6989586621680427110 a6989586621680427111 = ConcatMap a6989586621680427110 a6989586621680427111

Building lists

Scans

data ScanlSym0 :: (~>) ((~>) b ((~>) a b)) ((~>) b ((~>) [a] [b])) Source #

Instances

Instances details

SingI (ScanlSym0 :: TyFun (b ~> (a ~> b)) (b ~> ([a] ~> [b])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing ScanlSym0
SuppressUnusedWarnings (ScanlSym0 :: TyFun (b ~> (a ~> b)) (b ~> ([a] ~> [b])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ScanlSym0 :: TyFun (b ~> (a ~> b)) (b ~> ([a] ~> [b])) -> Type) (a6989586621679848957 :: b ~> (a ~> b)) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ScanlSym0 :: TyFun (b ~> (a ~> b)) (b ~> ([a] ~> [b])) -> Type) (a6989586621679848957 :: b ~> (a ~> b)) = ScanlSym1 a6989586621679848957

data ScanlSym1 (a6989586621679848957 :: (~>) b ((~>) a b)) :: (~>) b ((~>) [a] [b]) Source #

Instances

Instances details

SingI1 (ScanlSym1 :: (b ~> (a ~> b)) -> TyFun b ([a] ~> [b]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (ScanlSym1 x)
SingI d => SingI (ScanlSym1 d :: TyFun b ([a] ~> [b]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (ScanlSym1 d)
SuppressUnusedWarnings (ScanlSym1 a6989586621679848957 :: TyFun b ([a] ~> [b]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ScanlSym1 a6989586621679848957 :: TyFun b ([a] ~> [b]) -> Type) (a6989586621679848958 :: b) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ScanlSym1 a6989586621679848957 :: TyFun b ([a] ~> [b]) -> Type) (a6989586621679848958 :: b) = ScanlSym2 a6989586621679848957 a6989586621679848958

data ScanlSym2 (a6989586621679848957 :: (~>) b ((~>) a b)) (a6989586621679848958 :: b) :: (~>) [a] [b] Source #

Instances

Instances details

SingI d => SingI1 (ScanlSym2 d :: b -> TyFun [a] [b] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (ScanlSym2 d x)
SingI2 (ScanlSym2 :: (b ~> (a ~> b)) -> b -> TyFun [a] [b] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (ScanlSym2 x y)
(SingI d1, SingI d2) => SingI (ScanlSym2 d1 d2 :: TyFun [a] [b] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (ScanlSym2 d1 d2)
SuppressUnusedWarnings (ScanlSym2 a6989586621679848957 a6989586621679848958 :: TyFun [a] [b] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ScanlSym2 a6989586621679848957 a6989586621679848958 :: TyFun [a] [b] -> Type) (a6989586621679848959 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ScanlSym2 a6989586621679848957 a6989586621679848958 :: TyFun [a] [b] -> Type) (a6989586621679848959 :: [a]) = Scanl a6989586621679848957 a6989586621679848958 a6989586621679848959

type family ScanlSym3 (a6989586621679848957 :: (~>) b ((~>) a b)) (a6989586621679848958 :: b) (a6989586621679848959 :: [a]) :: [b] where ... Source #

Equations

ScanlSym3 a6989586621679848957 a6989586621679848958 a6989586621679848959 = Scanl a6989586621679848957 a6989586621679848958 a6989586621679848959

data Scanl1Sym0 :: (~>) ((~>) a ((~>) a a)) ((~>) [a] [a]) Source #

Instances

Instances details

SingI (Scanl1Sym0 :: TyFun (a ~> (a ~> a)) ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing Scanl1Sym0
SuppressUnusedWarnings (Scanl1Sym0 :: TyFun (a ~> (a ~> a)) ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (Scanl1Sym0 :: TyFun (a ~> (a ~> a)) ([a] ~> [a]) -> Type) (a6989586621679848948 :: a ~> (a ~> a)) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Scanl1Sym0 :: TyFun (a ~> (a ~> a)) ([a] ~> [a]) -> Type) (a6989586621679848948 :: a ~> (a ~> a)) = Scanl1Sym1 a6989586621679848948

data Scanl1Sym1 (a6989586621679848948 :: (~>) a ((~>) a a)) :: (~>) [a] [a] Source #

Instances

Instances details

SingI d => SingI (Scanl1Sym1 d :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (Scanl1Sym1 d)
SuppressUnusedWarnings (Scanl1Sym1 a6989586621679848948 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
SingI1 (Scanl1Sym1 :: (a ~> (a ~> a)) -> TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (Scanl1Sym1 x)
type Apply (Scanl1Sym1 a6989586621679848948 :: TyFun [a] [a] -> Type) (a6989586621679848949 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Scanl1Sym1 a6989586621679848948 :: TyFun [a] [a] -> Type) (a6989586621679848949 :: [a]) = Scanl1 a6989586621679848948 a6989586621679848949

type family Scanl1Sym2 (a6989586621679848948 :: (~>) a ((~>) a a)) (a6989586621679848949 :: [a]) :: [a] where ... Source #

Equations

Scanl1Sym2 a6989586621679848948 a6989586621679848949 = Scanl1 a6989586621679848948 a6989586621679848949

data ScanrSym0 :: (~>) ((~>) a ((~>) b b)) ((~>) b ((~>) [a] [b])) Source #

Instances

Instances details

SingI (ScanrSym0 :: TyFun (a ~> (b ~> b)) (b ~> ([a] ~> [b])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing ScanrSym0
SuppressUnusedWarnings (ScanrSym0 :: TyFun (a ~> (b ~> b)) (b ~> ([a] ~> [b])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ScanrSym0 :: TyFun (a ~> (b ~> b)) (b ~> ([a] ~> [b])) -> Type) (a6989586621679848930 :: a ~> (b ~> b)) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ScanrSym0 :: TyFun (a ~> (b ~> b)) (b ~> ([a] ~> [b])) -> Type) (a6989586621679848930 :: a ~> (b ~> b)) = ScanrSym1 a6989586621679848930

data ScanrSym1 (a6989586621679848930 :: (~>) a ((~>) b b)) :: (~>) b ((~>) [a] [b]) Source #

Instances

Instances details

SingI1 (ScanrSym1 :: (a ~> (b ~> b)) -> TyFun b ([a] ~> [b]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (ScanrSym1 x)
SingI d => SingI (ScanrSym1 d :: TyFun b ([a] ~> [b]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (ScanrSym1 d)
SuppressUnusedWarnings (ScanrSym1 a6989586621679848930 :: TyFun b ([a] ~> [b]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ScanrSym1 a6989586621679848930 :: TyFun b ([a] ~> [b]) -> Type) (a6989586621679848931 :: b) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ScanrSym1 a6989586621679848930 :: TyFun b ([a] ~> [b]) -> Type) (a6989586621679848931 :: b) = ScanrSym2 a6989586621679848930 a6989586621679848931

data ScanrSym2 (a6989586621679848930 :: (~>) a ((~>) b b)) (a6989586621679848931 :: b) :: (~>) [a] [b] Source #

Instances

Instances details

SingI d => SingI1 (ScanrSym2 d :: b -> TyFun [a] [b] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (ScanrSym2 d x)
SingI2 (ScanrSym2 :: (a ~> (b ~> b)) -> b -> TyFun [a] [b] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (ScanrSym2 x y)
(SingI d1, SingI d2) => SingI (ScanrSym2 d1 d2 :: TyFun [a] [b] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (ScanrSym2 d1 d2)
SuppressUnusedWarnings (ScanrSym2 a6989586621679848930 a6989586621679848931 :: TyFun [a] [b] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ScanrSym2 a6989586621679848930 a6989586621679848931 :: TyFun [a] [b] -> Type) (a6989586621679848932 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ScanrSym2 a6989586621679848930 a6989586621679848931 :: TyFun [a] [b] -> Type) (a6989586621679848932 :: [a]) = Scanr a6989586621679848930 a6989586621679848931 a6989586621679848932

type family ScanrSym3 (a6989586621679848930 :: (~>) a ((~>) b b)) (a6989586621679848931 :: b) (a6989586621679848932 :: [a]) :: [b] where ... Source #

Equations

ScanrSym3 a6989586621679848930 a6989586621679848931 a6989586621679848932 = Scanr a6989586621679848930 a6989586621679848931 a6989586621679848932

data Scanr1Sym0 :: (~>) ((~>) a ((~>) a a)) ((~>) [a] [a]) Source #

Instances

Instances details

SingI (Scanr1Sym0 :: TyFun (a ~> (a ~> a)) ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing Scanr1Sym0
SuppressUnusedWarnings (Scanr1Sym0 :: TyFun (a ~> (a ~> a)) ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (Scanr1Sym0 :: TyFun (a ~> (a ~> a)) ([a] ~> [a]) -> Type) (a6989586621679848910 :: a ~> (a ~> a)) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Scanr1Sym0 :: TyFun (a ~> (a ~> a)) ([a] ~> [a]) -> Type) (a6989586621679848910 :: a ~> (a ~> a)) = Scanr1Sym1 a6989586621679848910

data Scanr1Sym1 (a6989586621679848910 :: (~>) a ((~>) a a)) :: (~>) [a] [a] Source #

Instances

Instances details

SingI d => SingI (Scanr1Sym1 d :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (Scanr1Sym1 d)
SuppressUnusedWarnings (Scanr1Sym1 a6989586621679848910 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
SingI1 (Scanr1Sym1 :: (a ~> (a ~> a)) -> TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (Scanr1Sym1 x)
type Apply (Scanr1Sym1 a6989586621679848910 :: TyFun [a] [a] -> Type) (a6989586621679848911 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Scanr1Sym1 a6989586621679848910 :: TyFun [a] [a] -> Type) (a6989586621679848911 :: [a]) = Scanr1 a6989586621679848910 a6989586621679848911

type family Scanr1Sym2 (a6989586621679848910 :: (~>) a ((~>) a a)) (a6989586621679848911 :: [a]) :: [a] where ... Source #

Equations

Scanr1Sym2 a6989586621679848910 a6989586621679848911 = Scanr1 a6989586621679848910 a6989586621679848911

Infinite lists

data ReplicateSym0 :: (~>) Natural ((~>) a [a]) Source #

Instances

Instances details

SingI (ReplicateSym0 :: TyFun Natural (a ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing ReplicateSym0
SuppressUnusedWarnings (ReplicateSym0 :: TyFun Natural (a ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ReplicateSym0 :: TyFun Natural (a ~> [a]) -> Type) (a6989586621679848047 :: Natural) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ReplicateSym0 :: TyFun Natural (a ~> [a]) -> Type) (a6989586621679848047 :: Natural) = ReplicateSym1 a6989586621679848047 :: TyFun a [a] -> Type

data ReplicateSym1 (a6989586621679848047 :: Natural) :: (~>) a [a] Source #

Instances

Instances details

SingI1 (ReplicateSym1 :: Natural -> TyFun a [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (ReplicateSym1 x)
SingI d => SingI (ReplicateSym1 d :: TyFun a [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (ReplicateSym1 d)
SuppressUnusedWarnings (ReplicateSym1 a6989586621679848047 :: TyFun a [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ReplicateSym1 a6989586621679848047 :: TyFun a [a] -> Type) (a6989586621679848048 :: a) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ReplicateSym1 a6989586621679848047 :: TyFun a [a] -> Type) (a6989586621679848048 :: a) = Replicate a6989586621679848047 a6989586621679848048

type family ReplicateSym2 (a6989586621679848047 :: Natural) (a6989586621679848048 :: a) :: [a] where ... Source #

Equations

ReplicateSym2 a6989586621679848047 a6989586621679848048 = Replicate a6989586621679848047 a6989586621679848048

Sublists

data TakeSym0 :: (~>) Natural ((~>) [a] [a]) Source #

Instances

Instances details

SingI (TakeSym0 :: TyFun Natural ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing TakeSym0
SuppressUnusedWarnings (TakeSym0 :: TyFun Natural ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (TakeSym0 :: TyFun Natural ([a] ~> [a]) -> Type) (a6989586621679848202 :: Natural) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (TakeSym0 :: TyFun Natural ([a] ~> [a]) -> Type) (a6989586621679848202 :: Natural) = TakeSym1 a6989586621679848202 :: TyFun [a] [a] -> Type

data TakeSym1 (a6989586621679848202 :: Natural) :: (~>) [a] [a] Source #

Instances

Instances details

SingI1 (TakeSym1 :: Natural -> TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (TakeSym1 x)
SingI d => SingI (TakeSym1 d :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (TakeSym1 d)
SuppressUnusedWarnings (TakeSym1 a6989586621679848202 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (TakeSym1 a6989586621679848202 :: TyFun [a] [a] -> Type) (a6989586621679848203 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (TakeSym1 a6989586621679848202 :: TyFun [a] [a] -> Type) (a6989586621679848203 :: [a]) = Take a6989586621679848202 a6989586621679848203

type family TakeSym2 (a6989586621679848202 :: Natural) (a6989586621679848203 :: [a]) :: [a] where ... Source #

Equations

TakeSym2 a6989586621679848202 a6989586621679848203 = Take a6989586621679848202 a6989586621679848203

data DropSym0 :: (~>) Natural ((~>) [a] [a]) Source #

Instances

Instances details

SingI (DropSym0 :: TyFun Natural ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing DropSym0
SuppressUnusedWarnings (DropSym0 :: TyFun Natural ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (DropSym0 :: TyFun Natural ([a] ~> [a]) -> Type) (a6989586621679848189 :: Natural) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (DropSym0 :: TyFun Natural ([a] ~> [a]) -> Type) (a6989586621679848189 :: Natural) = DropSym1 a6989586621679848189 :: TyFun [a] [a] -> Type

data DropSym1 (a6989586621679848189 :: Natural) :: (~>) [a] [a] Source #

Instances

Instances details

SingI1 (DropSym1 :: Natural -> TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (DropSym1 x)
SingI d => SingI (DropSym1 d :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (DropSym1 d)
SuppressUnusedWarnings (DropSym1 a6989586621679848189 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (DropSym1 a6989586621679848189 :: TyFun [a] [a] -> Type) (a6989586621679848190 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (DropSym1 a6989586621679848189 :: TyFun [a] [a] -> Type) (a6989586621679848190 :: [a]) = Drop a6989586621679848189 a6989586621679848190

type family DropSym2 (a6989586621679848189 :: Natural) (a6989586621679848190 :: [a]) :: [a] where ... Source #

Equations

DropSym2 a6989586621679848189 a6989586621679848190 = Drop a6989586621679848189 a6989586621679848190

data TakeWhileSym0 :: (~>) ((~>) a Bool) ((~>) [a] [a]) Source #

Instances

Instances details

SingI (TakeWhileSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing TakeWhileSym0
SuppressUnusedWarnings (TakeWhileSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (TakeWhileSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) (a6989586621679848319 :: a ~> Bool) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (TakeWhileSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) (a6989586621679848319 :: a ~> Bool) = TakeWhileSym1 a6989586621679848319

data TakeWhileSym1 (a6989586621679848319 :: (~>) a Bool) :: (~>) [a] [a] Source #

Instances

Instances details

SingI d => SingI (TakeWhileSym1 d :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (TakeWhileSym1 d)
SuppressUnusedWarnings (TakeWhileSym1 a6989586621679848319 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
SingI1 (TakeWhileSym1 :: (a ~> Bool) -> TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (TakeWhileSym1 x)
type Apply (TakeWhileSym1 a6989586621679848319 :: TyFun [a] [a] -> Type) (a6989586621679848320 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (TakeWhileSym1 a6989586621679848319 :: TyFun [a] [a] -> Type) (a6989586621679848320 :: [a]) = TakeWhile a6989586621679848319 a6989586621679848320

type family TakeWhileSym2 (a6989586621679848319 :: (~>) a Bool) (a6989586621679848320 :: [a]) :: [a] where ... Source #

Equations

TakeWhileSym2 a6989586621679848319 a6989586621679848320 = TakeWhile a6989586621679848319 a6989586621679848320

data DropWhileSym0 :: (~>) ((~>) a Bool) ((~>) [a] [a]) Source #

Instances

Instances details

SingI (DropWhileSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing DropWhileSym0
SuppressUnusedWarnings (DropWhileSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (DropWhileSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) (a6989586621679848304 :: a ~> Bool) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (DropWhileSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) (a6989586621679848304 :: a ~> Bool) = DropWhileSym1 a6989586621679848304

data DropWhileSym1 (a6989586621679848304 :: (~>) a Bool) :: (~>) [a] [a] Source #

Instances

Instances details

SingI d => SingI (DropWhileSym1 d :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (DropWhileSym1 d)
SuppressUnusedWarnings (DropWhileSym1 a6989586621679848304 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
SingI1 (DropWhileSym1 :: (a ~> Bool) -> TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (DropWhileSym1 x)
type Apply (DropWhileSym1 a6989586621679848304 :: TyFun [a] [a] -> Type) (a6989586621679848305 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (DropWhileSym1 a6989586621679848304 :: TyFun [a] [a] -> Type) (a6989586621679848305 :: [a]) = DropWhile a6989586621679848304 a6989586621679848305

type family DropWhileSym2 (a6989586621679848304 :: (~>) a Bool) (a6989586621679848305 :: [a]) :: [a] where ... Source #

Equations

DropWhileSym2 a6989586621679848304 a6989586621679848305 = DropWhile a6989586621679848304 a6989586621679848305

data DropWhileEndSym0 :: (~>) ((~>) a Bool) ((~>) [a] [a]) Source #

Instances

Instances details

SingI (DropWhileEndSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing DropWhileEndSym0
SuppressUnusedWarnings (DropWhileEndSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (DropWhileEndSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) (a6989586621679848287 :: a ~> Bool) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (DropWhileEndSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) (a6989586621679848287 :: a ~> Bool) = DropWhileEndSym1 a6989586621679848287

data DropWhileEndSym1 (a6989586621679848287 :: (~>) a Bool) :: (~>) [a] [a] Source #

Instances

Instances details

SingI d => SingI (DropWhileEndSym1 d :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (DropWhileEndSym1 d)
SuppressUnusedWarnings (DropWhileEndSym1 a6989586621679848287 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
SingI1 (DropWhileEndSym1 :: (a ~> Bool) -> TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (DropWhileEndSym1 x)
type Apply (DropWhileEndSym1 a6989586621679848287 :: TyFun [a] [a] -> Type) (a6989586621679848288 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (DropWhileEndSym1 a6989586621679848287 :: TyFun [a] [a] -> Type) (a6989586621679848288 :: [a]) = DropWhileEnd a6989586621679848287 a6989586621679848288

type family DropWhileEndSym2 (a6989586621679848287 :: (~>) a Bool) (a6989586621679848288 :: [a]) :: [a] where ... Source #

Equations

DropWhileEndSym2 a6989586621679848287 a6989586621679848288 = DropWhileEnd a6989586621679848287 a6989586621679848288

data SpanSym0 :: (~>) ((~>) a Bool) ((~>) [a] ([a], [a])) Source #

Instances

Instances details

SingI (SpanSym0 :: TyFun (a ~> Bool) ([a] ~> ([a], [a])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing SpanSym0
SuppressUnusedWarnings (SpanSym0 :: TyFun (a ~> Bool) ([a] ~> ([a], [a])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (SpanSym0 :: TyFun (a ~> Bool) ([a] ~> ([a], [a])) -> Type) (a6989586621679848250 :: a ~> Bool) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (SpanSym0 :: TyFun (a ~> Bool) ([a] ~> ([a], [a])) -> Type) (a6989586621679848250 :: a ~> Bool) = SpanSym1 a6989586621679848250

data SpanSym1 (a6989586621679848250 :: (~>) a Bool) :: (~>) [a] ([a], [a]) Source #

Instances

Instances details

SingI d => SingI (SpanSym1 d :: TyFun [a] ([a], [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (SpanSym1 d)
SuppressUnusedWarnings (SpanSym1 a6989586621679848250 :: TyFun [a] ([a], [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
SingI1 (SpanSym1 :: (a ~> Bool) -> TyFun [a] ([a], [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (SpanSym1 x)
type Apply (SpanSym1 a6989586621679848250 :: TyFun [a] ([a], [a]) -> Type) (a6989586621679848251 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (SpanSym1 a6989586621679848250 :: TyFun [a] ([a], [a]) -> Type) (a6989586621679848251 :: [a]) = Span a6989586621679848250 a6989586621679848251

type family SpanSym2 (a6989586621679848250 :: (~>) a Bool) (a6989586621679848251 :: [a]) :: ([a], [a]) where ... Source #

Equations

SpanSym2 a6989586621679848250 a6989586621679848251 = Span a6989586621679848250 a6989586621679848251

data BreakSym0 :: (~>) ((~>) a Bool) ((~>) [a] ([a], [a])) Source #

Instances

Instances details

SingI (BreakSym0 :: TyFun (a ~> Bool) ([a] ~> ([a], [a])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing BreakSym0
SuppressUnusedWarnings (BreakSym0 :: TyFun (a ~> Bool) ([a] ~> ([a], [a])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (BreakSym0 :: TyFun (a ~> Bool) ([a] ~> ([a], [a])) -> Type) (a6989586621679848215 :: a ~> Bool) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (BreakSym0 :: TyFun (a ~> Bool) ([a] ~> ([a], [a])) -> Type) (a6989586621679848215 :: a ~> Bool) = BreakSym1 a6989586621679848215

data BreakSym1 (a6989586621679848215 :: (~>) a Bool) :: (~>) [a] ([a], [a]) Source #

Instances

Instances details

SingI d => SingI (BreakSym1 d :: TyFun [a] ([a], [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (BreakSym1 d)
SuppressUnusedWarnings (BreakSym1 a6989586621679848215 :: TyFun [a] ([a], [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
SingI1 (BreakSym1 :: (a ~> Bool) -> TyFun [a] ([a], [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (BreakSym1 x)
type Apply (BreakSym1 a6989586621679848215 :: TyFun [a] ([a], [a]) -> Type) (a6989586621679848216 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (BreakSym1 a6989586621679848215 :: TyFun [a] ([a], [a]) -> Type) (a6989586621679848216 :: [a]) = Break a6989586621679848215 a6989586621679848216

type family BreakSym2 (a6989586621679848215 :: (~>) a Bool) (a6989586621679848216 :: [a]) :: ([a], [a]) where ... Source #

Equations

BreakSym2 a6989586621679848215 a6989586621679848216 = Break a6989586621679848215 a6989586621679848216

data SplitAtSym0 :: (~>) Natural ((~>) [a] ([a], [a])) Source #

Instances

Instances details

SingI (SplitAtSym0 :: TyFun Natural ([a] ~> ([a], [a])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing SplitAtSym0
SuppressUnusedWarnings (SplitAtSym0 :: TyFun Natural ([a] ~> ([a], [a])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (SplitAtSym0 :: TyFun Natural ([a] ~> ([a], [a])) -> Type) (a6989586621679848182 :: Natural) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (SplitAtSym0 :: TyFun Natural ([a] ~> ([a], [a])) -> Type) (a6989586621679848182 :: Natural) = SplitAtSym1 a6989586621679848182 :: TyFun [a] ([a], [a]) -> Type

data SplitAtSym1 (a6989586621679848182 :: Natural) :: (~>) [a] ([a], [a]) Source #

Instances

Instances details

SingI1 (SplitAtSym1 :: Natural -> TyFun [a] ([a], [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (SplitAtSym1 x)
SingI d => SingI (SplitAtSym1 d :: TyFun [a] ([a], [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (SplitAtSym1 d)
SuppressUnusedWarnings (SplitAtSym1 a6989586621679848182 :: TyFun [a] ([a], [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (SplitAtSym1 a6989586621679848182 :: TyFun [a] ([a], [a]) -> Type) (a6989586621679848183 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (SplitAtSym1 a6989586621679848182 :: TyFun [a] ([a], [a]) -> Type) (a6989586621679848183 :: [a]) = SplitAt a6989586621679848182 a6989586621679848183

type family SplitAtSym2 (a6989586621679848182 :: Natural) (a6989586621679848183 :: [a]) :: ([a], [a]) where ... Source #

Equations

SplitAtSym2 a6989586621679848182 a6989586621679848183 = SplitAt a6989586621679848182 a6989586621679848183

Searching lists

data NotElemSym0 :: (~>) a ((~>) (t a) Bool) Source #

Instances

Instances details

(SFoldable t, SEq a) => SingI (NotElemSym0 :: TyFun a (t a ~> Bool) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing NotElemSym0
SuppressUnusedWarnings (NotElemSym0 :: TyFun a (t a ~> Bool) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (NotElemSym0 :: TyFun a (t a ~> Bool) -> Type) (a6989586621680427033 :: a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (NotElemSym0 :: TyFun a (t a ~> Bool) -> Type) (a6989586621680427033 :: a) = NotElemSym1 a6989586621680427033 :: TyFun (t a) Bool -> Type

data NotElemSym1 (a6989586621680427033 :: a) :: (~>) (t a) Bool Source #

Instances

Instances details

(SFoldable t, SEq a) => SingI1 (NotElemSym1 :: a -> TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (NotElemSym1 x)
(SFoldable t, SEq a, SingI d) => SingI (NotElemSym1 d :: TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing (NotElemSym1 d)
SuppressUnusedWarnings (NotElemSym1 a6989586621680427033 :: TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (NotElemSym1 a6989586621680427033 :: TyFun (t a) Bool -> Type) (a6989586621680427034 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (NotElemSym1 a6989586621680427033 :: TyFun (t a) Bool -> Type) (a6989586621680427034 :: t a) = NotElem a6989586621680427033 a6989586621680427034

type family NotElemSym2 (a6989586621680427033 :: a) (a6989586621680427034 :: t a) :: Bool where ... Source #

Equations

NotElemSym2 a6989586621680427033 a6989586621680427034 = NotElem a6989586621680427033 a6989586621680427034

data LookupSym0 :: (~>) a ((~>) [(a, b)] (Maybe b)) Source #

Instances

Instances details

SEq a => SingI (LookupSym0 :: TyFun a ([(a, b)] ~> Maybe b) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing LookupSym0
SuppressUnusedWarnings (LookupSym0 :: TyFun a ([(a, b)] ~> Maybe b) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (LookupSym0 :: TyFun a ([(a, b)] ~> Maybe b) -> Type) (a6989586621679848110 :: a) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (LookupSym0 :: TyFun a ([(a, b)] ~> Maybe b) -> Type) (a6989586621679848110 :: a) = LookupSym1 a6989586621679848110 :: TyFun [(a, b)] (Maybe b) -> Type

data LookupSym1 (a6989586621679848110 :: a) :: (~>) [(a, b)] (Maybe b) Source #

Instances

Instances details

SEq a => SingI1 (LookupSym1 :: a -> TyFun [(a, b)] (Maybe b) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (LookupSym1 x)
(SEq a, SingI d) => SingI (LookupSym1 d :: TyFun [(a, b)] (Maybe b) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (LookupSym1 d)
SuppressUnusedWarnings (LookupSym1 a6989586621679848110 :: TyFun [(a, b)] (Maybe b) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (LookupSym1 a6989586621679848110 :: TyFun [(a, b)] (Maybe b) -> Type) (a6989586621679848111 :: [(a, b)]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (LookupSym1 a6989586621679848110 :: TyFun [(a, b)] (Maybe b) -> Type) (a6989586621679848111 :: [(a, b)]) = Lookup a6989586621679848110 a6989586621679848111

type family LookupSym2 (a6989586621679848110 :: a) (a6989586621679848111 :: [(a, b)]) :: Maybe b where ... Source #

Equations

LookupSym2 a6989586621679848110 a6989586621679848111 = Lookup a6989586621679848110 a6989586621679848111

Zipping and unzipping lists

data ZipSym0 :: (~>) [a] ((~>) [b] [(a, b)]) Source #

Instances

Instances details

SingI (ZipSym0 :: TyFun [a] ([b] ~> [(a, b)]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing ZipSym0
SuppressUnusedWarnings (ZipSym0 :: TyFun [a] ([b] ~> [(a, b)]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipSym0 :: TyFun [a] ([b] ~> [(a, b)]) -> Type) (a6989586621679848737 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipSym0 :: TyFun [a] ([b] ~> [(a, b)]) -> Type) (a6989586621679848737 :: [a]) = ZipSym1 a6989586621679848737 :: TyFun [b] [(a, b)] -> Type

data ZipSym1 (a6989586621679848737 :: [a]) :: (~>) [b] [(a, b)] Source #

Instances

Instances details

SingI1 (ZipSym1 :: [a] -> TyFun [b] [(a, b)] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (ZipSym1 x)
SingI d => SingI (ZipSym1 d :: TyFun [b] [(a, b)] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (ZipSym1 d)
SuppressUnusedWarnings (ZipSym1 a6989586621679848737 :: TyFun [b] [(a, b)] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipSym1 a6989586621679848737 :: TyFun [b] [(a, b)] -> Type) (a6989586621679848738 :: [b]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipSym1 a6989586621679848737 :: TyFun [b] [(a, b)] -> Type) (a6989586621679848738 :: [b]) = Zip a6989586621679848737 a6989586621679848738

type family ZipSym2 (a6989586621679848737 :: [a]) (a6989586621679848738 :: [b]) :: [(a, b)] where ... Source #

Equations

ZipSym2 a6989586621679848737 a6989586621679848738 = Zip a6989586621679848737 a6989586621679848738

data Zip3Sym0 :: (~>) [a] ((~>) [b] ((~>) [c] [(a, b, c)])) Source #

Instances

Instances details

SingI (Zip3Sym0 :: TyFun [a] ([b] ~> ([c] ~> [(a, b, c)])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing Zip3Sym0
SuppressUnusedWarnings (Zip3Sym0 :: TyFun [a] ([b] ~> ([c] ~> [(a, b, c)])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (Zip3Sym0 :: TyFun [a] ([b] ~> ([c] ~> [(a, b, c)])) -> Type) (a6989586621679848725 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Zip3Sym0 :: TyFun [a] ([b] ~> ([c] ~> [(a, b, c)])) -> Type) (a6989586621679848725 :: [a]) = Zip3Sym1 a6989586621679848725 :: TyFun [b] ([c] ~> [(a, b, c)]) -> Type

data Zip3Sym1 (a6989586621679848725 :: [a]) :: (~>) [b] ((~>) [c] [(a, b, c)]) Source #

Instances

Instances details

SingI1 (Zip3Sym1 :: [a] -> TyFun [b] ([c] ~> [(a, b, c)]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (Zip3Sym1 x)
SingI d => SingI (Zip3Sym1 d :: TyFun [b] ([c] ~> [(a, b, c)]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (Zip3Sym1 d)
SuppressUnusedWarnings (Zip3Sym1 a6989586621679848725 :: TyFun [b] ([c] ~> [(a, b, c)]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (Zip3Sym1 a6989586621679848725 :: TyFun [b] ([c] ~> [(a, b, c)]) -> Type) (a6989586621679848726 :: [b]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Zip3Sym1 a6989586621679848725 :: TyFun [b] ([c] ~> [(a, b, c)]) -> Type) (a6989586621679848726 :: [b]) = Zip3Sym2 a6989586621679848725 a6989586621679848726 :: TyFun [c] [(a, b, c)] -> Type

data Zip3Sym2 (a6989586621679848725 :: [a]) (a6989586621679848726 :: [b]) :: (~>) [c] [(a, b, c)] Source #

Instances

Instances details

SingI2 (Zip3Sym2 :: [a] -> [b] -> TyFun [c] [(a, b, c)] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Zip3Sym2 x y)
SingI d => SingI1 (Zip3Sym2 d :: [b] -> TyFun [c] [(a, b, c)] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (Zip3Sym2 d x)
(SingI d1, SingI d2) => SingI (Zip3Sym2 d1 d2 :: TyFun [c] [(a, b, c)] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (Zip3Sym2 d1 d2)
SuppressUnusedWarnings (Zip3Sym2 a6989586621679848725 a6989586621679848726 :: TyFun [c] [(a, b, c)] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (Zip3Sym2 a6989586621679848725 a6989586621679848726 :: TyFun [c] [(a, b, c)] -> Type) (a6989586621679848727 :: [c]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Zip3Sym2 a6989586621679848725 a6989586621679848726 :: TyFun [c] [(a, b, c)] -> Type) (a6989586621679848727 :: [c]) = Zip3 a6989586621679848725 a6989586621679848726 a6989586621679848727

type family Zip3Sym3 (a6989586621679848725 :: [a]) (a6989586621679848726 :: [b]) (a6989586621679848727 :: [c]) :: [(a, b, c)] where ... Source #

Equations

Zip3Sym3 a6989586621679848725 a6989586621679848726 a6989586621679848727 = Zip3 a6989586621679848725 a6989586621679848726 a6989586621679848727

data ZipWithSym0 :: (~>) ((~>) a ((~>) b c)) ((~>) [a] ((~>) [b] [c])) Source #

Instances

Instances details

SingI (ZipWithSym0 :: TyFun (a ~> (b ~> c)) ([a] ~> ([b] ~> [c])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing ZipWithSym0
SuppressUnusedWarnings (ZipWithSym0 :: TyFun (a ~> (b ~> c)) ([a] ~> ([b] ~> [c])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipWithSym0 :: TyFun (a ~> (b ~> c)) ([a] ~> ([b] ~> [c])) -> Type) (a6989586621679848713 :: a ~> (b ~> c)) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipWithSym0 :: TyFun (a ~> (b ~> c)) ([a] ~> ([b] ~> [c])) -> Type) (a6989586621679848713 :: a ~> (b ~> c)) = ZipWithSym1 a6989586621679848713

data ZipWithSym1 (a6989586621679848713 :: (~>) a ((~>) b c)) :: (~>) [a] ((~>) [b] [c]) Source #

Instances

Instances details

SingI1 (ZipWithSym1 :: (a ~> (b ~> c)) -> TyFun [a] ([b] ~> [c]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (ZipWithSym1 x)
SingI d => SingI (ZipWithSym1 d :: TyFun [a] ([b] ~> [c]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (ZipWithSym1 d)
SuppressUnusedWarnings (ZipWithSym1 a6989586621679848713 :: TyFun [a] ([b] ~> [c]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipWithSym1 a6989586621679848713 :: TyFun [a] ([b] ~> [c]) -> Type) (a6989586621679848714 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipWithSym1 a6989586621679848713 :: TyFun [a] ([b] ~> [c]) -> Type) (a6989586621679848714 :: [a]) = ZipWithSym2 a6989586621679848713 a6989586621679848714

data ZipWithSym2 (a6989586621679848713 :: (~>) a ((~>) b c)) (a6989586621679848714 :: [a]) :: (~>) [b] [c] Source #

Instances

Instances details

SingI d => SingI1 (ZipWithSym2 d :: [a] -> TyFun [b] [c] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (ZipWithSym2 d x)
SingI2 (ZipWithSym2 :: (a ~> (b ~> c)) -> [a] -> TyFun [b] [c] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (ZipWithSym2 x y)
(SingI d1, SingI d2) => SingI (ZipWithSym2 d1 d2 :: TyFun [b] [c] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (ZipWithSym2 d1 d2)
SuppressUnusedWarnings (ZipWithSym2 a6989586621679848713 a6989586621679848714 :: TyFun [b] [c] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipWithSym2 a6989586621679848713 a6989586621679848714 :: TyFun [b] [c] -> Type) (a6989586621679848715 :: [b]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipWithSym2 a6989586621679848713 a6989586621679848714 :: TyFun [b] [c] -> Type) (a6989586621679848715 :: [b]) = ZipWith a6989586621679848713 a6989586621679848714 a6989586621679848715

type family ZipWithSym3 (a6989586621679848713 :: (~>) a ((~>) b c)) (a6989586621679848714 :: [a]) (a6989586621679848715 :: [b]) :: [c] where ... Source #

Equations

ZipWithSym3 a6989586621679848713 a6989586621679848714 a6989586621679848715 = ZipWith a6989586621679848713 a6989586621679848714 a6989586621679848715

data ZipWith3Sym0 :: (~>) ((~>) a ((~>) b ((~>) c d))) ((~>) [a] ((~>) [b] ((~>) [c] [d]))) Source #

Instances

Instances details

SingI (ZipWith3Sym0 :: TyFun (a ~> (b ~> (c ~> d))) ([a] ~> ([b] ~> ([c] ~> [d]))) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing ZipWith3Sym0
SuppressUnusedWarnings (ZipWith3Sym0 :: TyFun (a ~> (b ~> (c ~> d))) ([a] ~> ([b] ~> ([c] ~> [d]))) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipWith3Sym0 :: TyFun (a ~> (b ~> (c ~> d))) ([a] ~> ([b] ~> ([c] ~> [d]))) -> Type) (a6989586621679848698 :: a ~> (b ~> (c ~> d))) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipWith3Sym0 :: TyFun (a ~> (b ~> (c ~> d))) ([a] ~> ([b] ~> ([c] ~> [d]))) -> Type) (a6989586621679848698 :: a ~> (b ~> (c ~> d))) = ZipWith3Sym1 a6989586621679848698

data ZipWith3Sym1 (a6989586621679848698 :: (~>) a ((~>) b ((~>) c d))) :: (~>) [a] ((~>) [b] ((~>) [c] [d])) Source #

Instances

Instances details

SingI1 (ZipWith3Sym1 :: (a ~> (b ~> (c ~> d))) -> TyFun [a] ([b] ~> ([c] ~> [d])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (ZipWith3Sym1 x)
SingI d2 => SingI (ZipWith3Sym1 d2 :: TyFun [a] ([b] ~> ([c] ~> [d1])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (ZipWith3Sym1 d2)
SuppressUnusedWarnings (ZipWith3Sym1 a6989586621679848698 :: TyFun [a] ([b] ~> ([c] ~> [d])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipWith3Sym1 a6989586621679848698 :: TyFun [a] ([b] ~> ([c] ~> [d])) -> Type) (a6989586621679848699 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipWith3Sym1 a6989586621679848698 :: TyFun [a] ([b] ~> ([c] ~> [d])) -> Type) (a6989586621679848699 :: [a]) = ZipWith3Sym2 a6989586621679848698 a6989586621679848699

data ZipWith3Sym2 (a6989586621679848698 :: (~>) a ((~>) b ((~>) c d))) (a6989586621679848699 :: [a]) :: (~>) [b] ((~>) [c] [d]) Source #

Instances

Instances details

SingI d2 => SingI1 (ZipWith3Sym2 d2 :: [a] -> TyFun [b] ([c] ~> [d1]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (ZipWith3Sym2 d2 x)
SingI2 (ZipWith3Sym2 :: (a ~> (b ~> (c ~> d))) -> [a] -> TyFun [b] ([c] ~> [d]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (ZipWith3Sym2 x y)
(SingI d2, SingI d3) => SingI (ZipWith3Sym2 d2 d3 :: TyFun [b] ([c] ~> [d1]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (ZipWith3Sym2 d2 d3)
SuppressUnusedWarnings (ZipWith3Sym2 a6989586621679848698 a6989586621679848699 :: TyFun [b] ([c] ~> [d]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipWith3Sym2 a6989586621679848698 a6989586621679848699 :: TyFun [b] ([c] ~> [d]) -> Type) (a6989586621679848700 :: [b]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipWith3Sym2 a6989586621679848698 a6989586621679848699 :: TyFun [b] ([c] ~> [d]) -> Type) (a6989586621679848700 :: [b]) = ZipWith3Sym3 a6989586621679848698 a6989586621679848699 a6989586621679848700

data ZipWith3Sym3 (a6989586621679848698 :: (~>) a ((~>) b ((~>) c d))) (a6989586621679848699 :: [a]) (a6989586621679848700 :: [b]) :: (~>) [c] [d] Source #

Instances

Instances details

SingI d2 => SingI2 (ZipWith3Sym3 d2 :: [a] -> [b] -> TyFun [c] [d1] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (ZipWith3Sym3 d2 x y)
(SingI d2, SingI d3) => SingI1 (ZipWith3Sym3 d2 d3 :: [b] -> TyFun [c] [d1] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (ZipWith3Sym3 d2 d3 x)
(SingI d2, SingI d3, SingI d4) => SingI (ZipWith3Sym3 d2 d3 d4 :: TyFun [c] [d1] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (ZipWith3Sym3 d2 d3 d4)
SuppressUnusedWarnings (ZipWith3Sym3 a6989586621679848698 a6989586621679848699 a6989586621679848700 :: TyFun [c] [d] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipWith3Sym3 a6989586621679848698 a6989586621679848699 a6989586621679848700 :: TyFun [c] [d] -> Type) (a6989586621679848701 :: [c]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipWith3Sym3 a6989586621679848698 a6989586621679848699 a6989586621679848700 :: TyFun [c] [d] -> Type) (a6989586621679848701 :: [c]) = ZipWith3 a6989586621679848698 a6989586621679848699 a6989586621679848700 a6989586621679848701

data UnzipSym0 :: (~>) [(a, b)] ([a], [b]) Source #

Instances

Instances details

SingI (UnzipSym0 :: TyFun [(a, b)] ([a], [b]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing UnzipSym0
SuppressUnusedWarnings (UnzipSym0 :: TyFun [(a, b)] ([a], [b]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (UnzipSym0 :: TyFun [(a, b)] ([a], [b]) -> Type) (a6989586621679848679 :: [(a, b)]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (UnzipSym0 :: TyFun [(a, b)] ([a], [b]) -> Type) (a6989586621679848679 :: [(a, b)]) = Unzip a6989586621679848679

type family UnzipSym1 (a6989586621679848679 :: [(a, b)]) :: ([a], [b]) where ... Source #

Equations

UnzipSym1 a6989586621679848679 = Unzip a6989586621679848679

data Unzip3Sym0 :: (~>) [(a, b, c)] ([a], [b], [c]) Source #

Instances

Instances details

SingI (Unzip3Sym0 :: TyFun [(a, b, c)] ([a], [b], [c]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing Unzip3Sym0
SuppressUnusedWarnings (Unzip3Sym0 :: TyFun [(a, b, c)] ([a], [b], [c]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (Unzip3Sym0 :: TyFun [(a, b, c)] ([a], [b], [c]) -> Type) (a6989586621679848661 :: [(a, b, c)]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Unzip3Sym0 :: TyFun [(a, b, c)] ([a], [b], [c]) -> Type) (a6989586621679848661 :: [(a, b, c)]) = Unzip3 a6989586621679848661

type family Unzip3Sym1 (a6989586621679848661 :: [(a, b, c)]) :: ([a], [b], [c]) where ... Source #

Equations

Unzip3Sym1 a6989586621679848661 = Unzip3 a6989586621679848661

Functions on `Symbol`s

data UnlinesSym0 :: (~>) [Symbol] Symbol Source #

Instances

Instances details

SingI UnlinesSym0 Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing UnlinesSym0
SuppressUnusedWarnings UnlinesSym0 Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply UnlinesSym0 (a6989586621679848564 :: [Symbol]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply UnlinesSym0 (a6989586621679848564 :: [Symbol]) = Unlines a6989586621679848564

type family UnlinesSym1 (a6989586621679848564 :: [Symbol]) :: Symbol where ... Source #

Equations

UnlinesSym1 a6989586621679848564 = Unlines a6989586621679848564

data UnwordsSym0 :: (~>) [Symbol] Symbol Source #

Instances

Instances details

SingI UnwordsSym0 Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing UnwordsSym0
SuppressUnusedWarnings UnwordsSym0 Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply UnwordsSym0 (a6989586621679848554 :: [Symbol]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply UnwordsSym0 (a6989586621679848554 :: [Symbol]) = Unwords a6989586621679848554

type family UnwordsSym1 (a6989586621679848554 :: [Symbol]) :: Symbol where ... Source #

Equations

UnwordsSym1 a6989586621679848554 = Unwords a6989586621679848554

Converting to and from `Symbol`

Converting to `Symbol`

data ShowsPrecSym0 :: (~>) Natural ((~>) a ((~>) Symbol Symbol)) Source #

Instances

Instances details

SShow a => SingI (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowsPrecSym0
SuppressUnusedWarnings (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type) (a6989586621680243312 :: Natural) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type) (a6989586621680243312 :: Natural) = ShowsPrecSym1 a6989586621680243312 :: TyFun a (Symbol ~> Symbol) -> Type

data ShowsPrecSym1 (a6989586621680243312 :: Natural) :: (~>) a ((~>) Symbol Symbol) Source #

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Instances details

SShow a => SingI1 (ShowsPrecSym1 :: Natural -> TyFun a (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowsPrecSym1 x)
(SShow a, SingI d) => SingI (ShowsPrecSym1 d :: TyFun a (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowsPrecSym1 d)
SuppressUnusedWarnings (ShowsPrecSym1 a6989586621680243312 :: TyFun a (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowsPrecSym1 a6989586621680243312 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621680243313 :: a) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsPrecSym1 a6989586621680243312 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621680243313 :: a) = ShowsPrecSym2 a6989586621680243312 a6989586621680243313

data ShowsPrecSym2 (a6989586621680243312 :: Natural) (a6989586621680243313 :: a) :: (~>) Symbol Symbol Source #

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Instances details

SShow a => SingI2 (ShowsPrecSym2 :: Natural -> a -> TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (ShowsPrecSym2 x y)
(SShow a, SingI d) => SingI1 (ShowsPrecSym2 d :: a -> TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowsPrecSym2 d x)
(SShow a, SingI d1, SingI d2) => SingI (ShowsPrecSym2 d1 d2 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowsPrecSym2 d1 d2)
SuppressUnusedWarnings (ShowsPrecSym2 a6989586621680243312 a6989586621680243313 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowsPrecSym2 a6989586621680243312 a6989586621680243313 :: TyFun Symbol Symbol -> Type) (a6989586621680243314 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsPrecSym2 a6989586621680243312 a6989586621680243313 :: TyFun Symbol Symbol -> Type) (a6989586621680243314 :: Symbol) = ShowsPrec a6989586621680243312 a6989586621680243313 a6989586621680243314

type family ShowsPrecSym3 (a6989586621680243312 :: Natural) (a6989586621680243313 :: a) (a6989586621680243314 :: Symbol) :: Symbol where ... Source #

Equations

ShowsPrecSym3 a6989586621680243312 a6989586621680243313 a6989586621680243314 = ShowsPrec a6989586621680243312 a6989586621680243313 a6989586621680243314

data ShowListSym0 :: (~>) [a] ((~>) Symbol Symbol) Source #

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Instances details

SShow a => SingI (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowListSym0
SuppressUnusedWarnings (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621680243321 :: [a]) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621680243321 :: [a]) = ShowListSym1 a6989586621680243321

data ShowListSym1 (a6989586621680243321 :: [a]) :: (~>) Symbol Symbol Source #

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Instances details

SShow a => SingI1 (ShowListSym1 :: [a] -> TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowListSym1 x)
(SShow a, SingI d) => SingI (ShowListSym1 d :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowListSym1 d)
SuppressUnusedWarnings (ShowListSym1 a6989586621680243321 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowListSym1 a6989586621680243321 :: TyFun Symbol Symbol -> Type) (a6989586621680243322 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowListSym1 a6989586621680243321 :: TyFun Symbol Symbol -> Type) (a6989586621680243322 :: Symbol) = ShowList a6989586621680243321 a6989586621680243322

type family ShowListSym2 (a6989586621680243321 :: [a]) (a6989586621680243322 :: Symbol) :: Symbol where ... Source #

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ShowListSym2 a6989586621680243321 a6989586621680243322 = ShowList a6989586621680243321 a6989586621680243322

data Show_Sym0 :: (~>) a Symbol Source #

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Instances details

SShow a => SingI (Show_Sym0 :: TyFun a Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing Show_Sym0
SuppressUnusedWarnings (Show_Sym0 :: TyFun a Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Show_Sym0 :: TyFun a Symbol -> Type) (a6989586621680243317 :: a) Source #
Instance details Defined in Text.Show.Singletons type Apply (Show_Sym0 :: TyFun a Symbol -> Type) (a6989586621680243317 :: a) = Show_ a6989586621680243317

type family Show_Sym1 (a6989586621680243317 :: a) :: Symbol where ... Source #

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Show_Sym1 a6989586621680243317 = Show_ a6989586621680243317

data ShowsSym0 :: (~>) a ((~>) Symbol Symbol) Source #

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Instances details

SShow a => SingI (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowsSym0
SuppressUnusedWarnings (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621680243304 :: a) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621680243304 :: a) = ShowsSym1 a6989586621680243304

data ShowsSym1 (a6989586621680243304 :: a) :: (~>) Symbol Symbol Source #

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Instances details

SShow a => SingI1 (ShowsSym1 :: a -> TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowsSym1 x)
(SShow a, SingI d) => SingI (ShowsSym1 d :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowsSym1 d)
SuppressUnusedWarnings (ShowsSym1 a6989586621680243304 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowsSym1 a6989586621680243304 :: TyFun Symbol Symbol -> Type) (a6989586621680243305 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsSym1 a6989586621680243304 :: TyFun Symbol Symbol -> Type) (a6989586621680243305 :: Symbol) = Shows a6989586621680243304 a6989586621680243305

type family ShowsSym2 (a6989586621680243304 :: a) (a6989586621680243305 :: Symbol) :: Symbol where ... Source #

Equations

ShowsSym2 a6989586621680243304 a6989586621680243305 = Shows a6989586621680243304 a6989586621680243305

data ShowCharSym0 :: (~>) Char ((~>) Symbol Symbol) Source #

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Instances details

SingI ShowCharSym0 Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowCharSym0
SuppressUnusedWarnings ShowCharSym0 Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply ShowCharSym0 (a6989586621680243278 :: Char) Source #
Instance details Defined in Text.Show.Singletons type Apply ShowCharSym0 (a6989586621680243278 :: Char) = ShowCharSym1 a6989586621680243278

data ShowCharSym1 (a6989586621680243278 :: Char) :: (~>) Symbol Symbol Source #

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Instances details

SingI1 ShowCharSym1 Source #
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowCharSym1 x)
SingI d => SingI (ShowCharSym1 d :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowCharSym1 d)
SuppressUnusedWarnings (ShowCharSym1 a6989586621680243278 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowCharSym1 a6989586621680243278 :: TyFun Symbol Symbol -> Type) (a6989586621680243279 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowCharSym1 a6989586621680243278 :: TyFun Symbol Symbol -> Type) (a6989586621680243279 :: Symbol) = ShowChar a6989586621680243278 a6989586621680243279

type family ShowCharSym2 (a6989586621680243278 :: Char) (a6989586621680243279 :: Symbol) :: Symbol where ... Source #

Equations

ShowCharSym2 a6989586621680243278 a6989586621680243279 = ShowChar a6989586621680243278 a6989586621680243279

data ShowStringSym0 :: (~>) Symbol ((~>) Symbol Symbol) Source #

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Instances details

SingI ShowStringSym0 Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowStringSym0
SuppressUnusedWarnings ShowStringSym0 Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply ShowStringSym0 (a6989586621680243267 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply ShowStringSym0 (a6989586621680243267 :: Symbol) = ShowStringSym1 a6989586621680243267

data ShowStringSym1 (a6989586621680243267 :: Symbol) :: (~>) Symbol Symbol Source #

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Instances details

SingI1 ShowStringSym1 Source #
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowStringSym1 x)
SingI d => SingI (ShowStringSym1 d :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowStringSym1 d)
SuppressUnusedWarnings (ShowStringSym1 a6989586621680243267 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowStringSym1 a6989586621680243267 :: TyFun Symbol Symbol -> Type) (a6989586621680243268 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowStringSym1 a6989586621680243267 :: TyFun Symbol Symbol -> Type) (a6989586621680243268 :: Symbol) = ShowString a6989586621680243267 a6989586621680243268

type family ShowStringSym2 (a6989586621680243267 :: Symbol) (a6989586621680243268 :: Symbol) :: Symbol where ... Source #

Equations

ShowStringSym2 a6989586621680243267 a6989586621680243268 = ShowString a6989586621680243267 a6989586621680243268

data ShowParenSym0 :: (~>) Bool ((~>) ((~>) Symbol Symbol) ((~>) Symbol Symbol)) Source #

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Instances details

SingI ShowParenSym0 Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowParenSym0
SuppressUnusedWarnings ShowParenSym0 Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply ShowParenSym0 (a6989586621680243251 :: Bool) Source #
Instance details Defined in Text.Show.Singletons type Apply ShowParenSym0 (a6989586621680243251 :: Bool) = ShowParenSym1 a6989586621680243251

data ShowParenSym1 (a6989586621680243251 :: Bool) :: (~>) ((~>) Symbol Symbol) ((~>) Symbol Symbol) Source #

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Instances details

SingI1 ShowParenSym1 Source #
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowParenSym1 x)
SingI d => SingI (ShowParenSym1 d :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowParenSym1 d)
SuppressUnusedWarnings (ShowParenSym1 a6989586621680243251 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowParenSym1 a6989586621680243251 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) (a6989586621680243252 :: Symbol ~> Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowParenSym1 a6989586621680243251 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) (a6989586621680243252 :: Symbol ~> Symbol) = ShowParenSym2 a6989586621680243251 a6989586621680243252

data ShowParenSym2 (a6989586621680243251 :: Bool) (a6989586621680243252 :: (~>) Symbol Symbol) :: (~>) Symbol Symbol Source #

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Instances details

SingI2 ShowParenSym2 Source #
Instance details Defined in Text.Show.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (ShowParenSym2 x y)
(SingI d1, SingI d2) => SingI (ShowParenSym2 d1 d2 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowParenSym2 d1 d2)
SuppressUnusedWarnings (ShowParenSym2 a6989586621680243251 a6989586621680243252 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SingI d => SingI1 (ShowParenSym2 d :: (Symbol ~> Symbol) -> TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowParenSym2 d x)
type Apply (ShowParenSym2 a6989586621680243251 a6989586621680243252 :: TyFun Symbol Symbol -> Type) (a6989586621680243253 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowParenSym2 a6989586621680243251 a6989586621680243252 :: TyFun Symbol Symbol -> Type) (a6989586621680243253 :: Symbol) = ShowParen a6989586621680243251 a6989586621680243252 a6989586621680243253

'False \|\| a = a
'True \|\| a = 'True
a \|\| 'False = a
a \|\| 'True = 'True
a \|\| a = a

Basic singleton definitions

Promoted and singled types, classes, and related functions

Basic data types

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Tuples

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Basic type classes

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Numeric type classes

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Numeric functions

Semigroups and Monoids

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Monads and functors

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Folds and traversals

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Miscellaneous functions

List operations

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Special folds

Building lists

Scans

Infinite lists

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Searching lists

Zipping and unzipping lists

Functions on Symbols

Converting to and from Symbol

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Defunctionalization symbols

Basic data types

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Functions on `Symbol`s

Converting to and from `Symbol`

Converting to `Symbol`