Copyright	(C) 2013 Richard Eisenberg
License	BSD-style (see LICENSE)
Maintainer	Ryan Scott
Stability	experimental
Portability	non-portable
Safe Haskell	Safe-Inferred
Language	GHC2021

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

module Data.Singletons
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) :: Type
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 (t :: b) (t :: (~>) a b) (t :: Maybe a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Maybe_Sym0 t) t) t :: b) :: Type
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 (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) :: Type
data SOrdering :: Ordering -> Type where
- SLT :: SOrdering ('LT :: Ordering)
- SEQ :: SOrdering ('EQ :: Ordering)
- SGT :: SOrdering ('GT :: Ordering)
data SChar (s :: 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 (t :: (a, b)). Sing t -> Sing (Apply FstSym0 t :: a) :: Type
type family Snd (a :: (a, b)) :: b where ...
sSnd :: forall (t :: (a, b)). Sing t -> Sing (Apply SndSym0 t :: b) :: Type
type family Curry (a :: (~>) (a, b) c) (a :: a) (a :: b) :: c where ...
sCurry :: forall (t :: (~>) (a, b) c) (t :: a) (t :: b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply CurrySym0 t) t) t :: c) :: Type
type family Uncurry (a :: (~>) a ((~>) b c)) (a :: (a, b)) :: c where ...
sUncurry :: forall (t :: (~>) a ((~>) b c)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply UncurrySym0 t) t :: c) :: Type
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 (==@#@$) t) t :: Bool) :: Type
- (%/=) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t :: Bool) :: Type
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) :: Type
- (%<) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t :: Bool) :: Type
- (%<=) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t :: Bool) :: Type
- (%>) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t :: Bool) :: Type
- (%>=) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t :: Bool) :: Type
- sMax :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t :: a) :: Type
- sMin :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t :: a) :: Type
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) :: Type
- sFromEnum :: forall (t :: a). Sing t -> Sing (Apply FromEnumSym0 t :: Natural) :: Type
- sEnumFromTo :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t :: [a]) :: Type
- sEnumFromThenTo :: forall (t :: a) (t :: a) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t :: [a]) :: Type
class PBounded a where
- type MinBound :: a
- type MaxBound :: a
class SBounded a where
- sMinBound :: Sing (MinBoundSym0 :: a) :: Type
- sMaxBound :: Sing (MaxBoundSym0 :: a) :: Type
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 (+@#@$) t) t :: a) :: Type
- (%-) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (-@#@$) t) t :: a) :: Type
- (%*) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (*@#@$) t) t :: a) :: Type
- sNegate :: forall (t :: a). Sing t -> Sing (Apply NegateSym0 t :: a) :: Type
- sAbs :: forall (t :: a). Sing t -> Sing (Apply AbsSym0 t :: a) :: Type
- sSignum :: forall (t :: a). Sing t -> Sing (Apply SignumSym0 t :: a) :: Type
- sFromInteger :: forall (t :: Natural). Sing t -> Sing (Apply FromIntegerSym0 t :: a) :: Type
type family Subtract (a :: a) (a :: a) :: a where ...
sSubtract :: forall (t :: a) (t :: a). SNum a => Sing t -> Sing t -> Sing (Apply (Apply SubtractSym0 t) t :: a) :: Type
class PSemigroup a where
- type (arg :: a) <> (arg :: a) :: a
class SSemigroup a where
- (%<>) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t :: a) :: Type
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) :: Type
- sMappend :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t :: a) :: Type
- sMconcat :: forall (t :: [a]). Sing t -> Sing (Apply MconcatSym0 t :: a) :: Type
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 (t :: (~>) a b) (t :: f a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t :: f b) :: Type
- (%<$) :: forall (t :: a) (t :: f b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t :: f a) :: Type
type family (a :: (~>) a b) <$> (a :: f a) :: f b where ...
(%<$>) :: forall (t :: (~>) a b) (t :: f a). SFunctor f => Sing t -> Sing t -> Sing (Apply (Apply (<$>@#@$) t) t :: f b) :: Type
class PApplicative f where
- type Pure (arg :: a) :: f a
- type (arg :: f ((~>) a b)) <*> (arg :: f a) :: f b
- type LiftA2 (arg :: (~>) a ((~>) b c)) (arg :: f a) (arg :: f b) :: f c
- type (arg :: f a) *> (arg :: f b) :: f b
- type (arg :: f a) <* (arg :: f b) :: f a
class SFunctor f => SApplicative f where
- sPure :: forall (t :: a). Sing t -> Sing (Apply PureSym0 t :: f a) :: Type
- (%<*>) :: forall (t :: f ((~>) a b)) (t :: f a). Sing t -> Sing t -> Sing (Apply (Apply (<*>@#@$) t) t :: f b) :: Type
- sLiftA2 :: forall (t :: (~>) a ((~>) b c)) (t :: f a) (t :: f b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t :: f c) :: Type
- (%*>) :: forall (t :: f a) (t :: f b). Sing t -> Sing t -> Sing (Apply (Apply (*>@#@$) t) t :: f b) :: Type
- (%<*) :: forall (t :: f a) (t :: f b). Sing t -> Sing t -> Sing (Apply (Apply (<*@#@$) t) t :: f a) :: Type
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 (t :: a). Sing t -> Sing (Apply ReturnSym0 t :: m a) :: Type
class PMonadFail m where
- type Fail (arg :: [Char]) :: m a
class SMonad m => SMonadFail m where
- sFail :: forall (t :: [Char]). Sing t -> Sing (Apply FailSym0 t :: m a) :: Type
type family MapM_ (a :: (~>) a (m b)) (a :: t a) :: m () where ...
sMapM_ :: forall (t :: (~>) a (m b)) (t :: t a). (SFoldable t, SMonad m) => Sing t -> Sing t -> Sing (Apply (Apply MapM_Sym0 t) t :: m ()) :: Type
type family Sequence_ (a :: t (m a)) :: m () where ...
sSequence_ :: forall (t :: t (m a)). (SFoldable t, SMonad m) => Sing t -> Sing (Apply Sequence_Sym0 t :: m ()) :: Type
type family (a :: (~>) a (m b)) =<< (a :: m a) :: m b where ...
(%=<<) :: forall (t :: (~>) a (m b)) (t :: m a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply (=<<@#@$) t) t :: m b) :: Type
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 (t :: (~>) a m) (t :: t a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t :: m) :: Type
- sFoldr :: forall (t :: (~>) a ((~>) b b)) (t :: b) (t :: t a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t :: b) :: Type
- sFoldl :: forall (t :: (~>) b ((~>) a b)) (t :: b) (t :: t a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t :: b) :: Type
- sFoldr1 :: forall (t :: (~>) a ((~>) a a)) (t :: t a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t :: a) :: Type
- sFoldl1 :: forall (t :: (~>) a ((~>) a a)) (t :: t a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t :: a) :: Type
- sElem :: forall (t :: a) (t :: t a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t :: Bool) :: Type
- 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 (t :: t a). SNum a => Sing t -> Sing (Apply SumSym0 t :: a) :: Type
- sProduct :: forall (t :: t a). SNum a => Sing t -> Sing (Apply ProductSym0 t :: a) :: Type
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 (t :: (~>) a (f b)) (t :: t a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t :: f (t b)) :: Type
- sSequenceA :: forall (t :: t (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t :: f (t a)) :: Type
- sMapM :: forall (t :: (~>) a (m b)) (t :: t a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t :: m (t b)) :: Type
- sSequence :: forall (t :: t (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t :: m (t a)) :: Type
type family Id (a :: a) :: a where ...
sId :: forall (t :: a). Sing t -> Sing (Apply IdSym0 t :: a) :: Type
type family Const (a :: a) (a :: b) :: a where ...
sConst :: forall (t :: a) (t :: b). Sing t -> Sing t -> Sing (Apply (Apply ConstSym0 t) t :: a) :: Type
type family ((a :: (~>) b c) . (a :: (~>) a b)) (a :: a) :: c where ...
(%.) :: forall (t :: (~>) b c) (t :: (~>) a b) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply (.@#@$) t) t) t :: c) :: Type
type family Flip (a :: (~>) a ((~>) b c)) (a :: b) (a :: a) :: c where ...
sFlip :: forall (t :: (~>) a ((~>) b c)) (t :: b) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FlipSym0 t) t) t :: c) :: Type
type family (a :: (~>) a b) $ (a :: a) :: b where ...
(%$) :: forall (t :: (~>) a b) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply ($@#@$) t) t :: b) :: Type
type family Until (a :: (~>) a Bool) (a :: (~>) a a) (a :: a) :: a where ...
sUntil :: forall (t :: (~>) a Bool) (t :: (~>) a a) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply UntilSym0 t) t) t :: a) :: Type
type family AsTypeOf (a :: a) (a :: a) :: a where ...
sAsTypeOf :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply AsTypeOfSym0 t) t :: a) :: Type
type family Error (str :: Symbol) :: a where ...
sError :: HasCallStack => Sing (str :: Symbol) -> a
type family ErrorWithoutStackTrace (str :: Symbol) :: a where ...
sErrorWithoutStackTrace :: Sing (str :: Symbol) -> a
type family Undefined :: a where ...
sUndefined :: HasCallStack => a
type family Seq (a :: a) (a :: b) :: b where ...
sSeq :: forall (t :: a) (t :: b). Sing t -> Sing t -> Sing (Apply (Apply SeqSym0 t) t :: b) :: Type
type family (a :: (~>) a b) $! (a :: a) :: b where ...
(%$!) :: forall (t :: (~>) a b) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply ($!@#@$) t) t :: b) :: Type
type family Map (a :: (~>) a b) (a :: [a]) :: [b] where ...
sMap :: forall (t :: (~>) a b) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply MapSym0 t) t :: [b]) :: Type
type family (a :: [a]) ++ (a :: [a]) :: [a] where ...
(%++) :: forall (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply (++@#@$) t) t :: [a]) :: Type
type family Filter (a :: (~>) a Bool) (a :: [a]) :: [a] where ...
sFilter :: forall (t :: (~>) a Bool) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply FilterSym0 t) t :: [a]) :: Type
type family Head (a :: [a]) :: a where ...
sHead :: forall (t :: [a]). Sing t -> Sing (Apply HeadSym0 t :: a) :: Type
type family Last (a :: [a]) :: a where ...
sLast :: forall (t :: [a]). Sing t -> Sing (Apply LastSym0 t :: a) :: Type
type family Tail (a :: [a]) :: [a] where ...
sTail :: forall (t :: [a]). Sing t -> Sing (Apply TailSym0 t :: [a]) :: Type
type family Init (a :: [a]) :: [a] where ...
sInit :: forall (t :: [a]). Sing t -> Sing (Apply InitSym0 t :: [a]) :: Type
type family (a :: [a]) !! (a :: Natural) :: a where ...
(%!!) :: forall (t :: [a]) (t :: Natural). Sing t -> Sing t -> Sing (Apply (Apply (!!@#@$) t) t :: a) :: Type
type family Null (arg :: t a) :: Bool
sNull :: SFoldable t => forall (t :: t a). Sing t -> Sing (Apply NullSym0 t :: Bool) :: Type
type family Length (arg :: t a) :: Natural
sLength :: SFoldable t => forall (t :: t a). Sing t -> Sing (Apply LengthSym0 t :: Natural) :: Type
type family Reverse (a :: [a]) :: [a] where ...
sReverse :: forall (t :: [a]). Sing t -> Sing (Apply ReverseSym0 t :: [a]) :: Type
type family And (a :: t Bool) :: Bool where ...
sAnd :: forall (t :: t Bool). SFoldable t => Sing t -> Sing (Apply AndSym0 t :: Bool) :: Type
type family Or (a :: t Bool) :: Bool where ...
sOr :: forall (t :: t Bool). SFoldable t => Sing t -> Sing (Apply OrSym0 t :: Bool) :: Type
type family Any (a :: (~>) a Bool) (a :: t a) :: Bool where ...
sAny :: forall (t :: (~>) a Bool) (t :: t a). SFoldable t => Sing t -> Sing t -> Sing (Apply (Apply AnySym0 t) t :: Bool) :: Type
type family All (a :: (~>) a Bool) (a :: t a) :: Bool where ...
sAll :: forall (t :: (~>) a Bool) (t :: t a). SFoldable t => Sing t -> Sing t -> Sing (Apply (Apply AllSym0 t) t :: Bool) :: Type
type family Concat (a :: t [a]) :: [a] where ...
sConcat :: forall (t :: t [a]). SFoldable t => Sing t -> Sing (Apply ConcatSym0 t :: [a]) :: Type
type family ConcatMap (a :: (~>) a [b]) (a :: t a) :: [b] where ...
sConcatMap :: forall (t :: (~>) a [b]) (t :: t a). SFoldable t => Sing t -> Sing t -> Sing (Apply (Apply ConcatMapSym0 t) t :: [b]) :: Type
type family Scanl (a :: (~>) b ((~>) a b)) (a :: b) (a :: [a]) :: [b] where ...
sScanl :: forall (t :: (~>) b ((~>) a b)) (t :: b) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ScanlSym0 t) t) t :: [b]) :: Type
type family Scanl1 (a :: (~>) a ((~>) a a)) (a :: [a]) :: [a] where ...
sScanl1 :: forall (t :: (~>) a ((~>) a a)) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply Scanl1Sym0 t) t :: [a]) :: Type
type family Scanr (a :: (~>) a ((~>) b b)) (a :: b) (a :: [a]) :: [b] where ...
sScanr :: forall (t :: (~>) a ((~>) b b)) (t :: b) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ScanrSym0 t) t) t :: [b]) :: Type
type family Scanr1 (a :: (~>) a ((~>) a a)) (a :: [a]) :: [a] where ...
sScanr1 :: forall (t :: (~>) a ((~>) a a)) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply Scanr1Sym0 t) t :: [a]) :: Type
type family Replicate (a :: Natural) (a :: a) :: [a] where ...
sReplicate :: forall (t :: Natural) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply ReplicateSym0 t) t :: [a]) :: Type
type family Take (a :: Natural) (a :: [a]) :: [a] where ...
sTake :: forall (t :: Natural) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply TakeSym0 t) t :: [a]) :: Type
type family Drop (a :: Natural) (a :: [a]) :: [a] where ...
sDrop :: forall (t :: Natural) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply DropSym0 t) t :: [a]) :: Type
type family TakeWhile (a :: (~>) a Bool) (a :: [a]) :: [a] where ...
sTakeWhile :: forall (t :: (~>) a Bool) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply TakeWhileSym0 t) t :: [a]) :: Type
type family DropWhile (a :: (~>) a Bool) (a :: [a]) :: [a] where ...
sDropWhile :: forall (t :: (~>) a Bool) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply DropWhileSym0 t) t :: [a]) :: Type
type family Span (a :: (~>) a Bool) (a :: [a]) :: ([a], [a]) where ...
sSpan :: forall (t :: (~>) a Bool) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply SpanSym0 t) t :: ([a], [a])) :: Type
type family Break (a :: (~>) a Bool) (a :: [a]) :: ([a], [a]) where ...
sBreak :: forall (t :: (~>) a Bool) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply BreakSym0 t) t :: ([a], [a])) :: Type
type family SplitAt (a :: Natural) (a :: [a]) :: ([a], [a]) where ...
sSplitAt :: forall (t :: Natural) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply SplitAtSym0 t) t :: ([a], [a])) :: Type
type family NotElem (a :: a) (a :: t a) :: Bool where ...
sNotElem :: forall (t :: a) (t :: t a). (SFoldable t, SEq a) => Sing t -> Sing t -> Sing (Apply (Apply NotElemSym0 t) t :: Bool) :: Type
type family Lookup (a :: a) (a :: [(a, b)]) :: Maybe b where ...
sLookup :: forall (t :: a) (t :: [(a, b)]). SEq a => Sing t -> Sing t -> Sing (Apply (Apply LookupSym0 t) t :: Maybe b) :: Type
type family Zip (a :: [a]) (a :: [b]) :: [(a, b)] where ...
sZip :: forall (t :: [a]) (t :: [b]). Sing t -> Sing t -> Sing (Apply (Apply ZipSym0 t) t :: [(a, b)]) :: Type
type family Zip3 (a :: [a]) (a :: [b]) (a :: [c]) :: [(a, b, c)] where ...
sZip3 :: forall (t :: [a]) (t :: [b]) (t :: [c]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Zip3Sym0 t) t) t :: [(a, b, c)]) :: Type
type family ZipWith (a :: (~>) a ((~>) b c)) (a :: [a]) (a :: [b]) :: [c] where ...
sZipWith :: forall (t :: (~>) a ((~>) b c)) (t :: [a]) (t :: [b]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ZipWithSym0 t) t) t :: [c]) :: Type
type family ZipWith3 (a :: (~>) a ((~>) b ((~>) c d))) (a :: [a]) (a :: [b]) (a :: [c]) :: [d] where ...
sZipWith3 :: forall (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
type family Unzip (a :: [(a, b)]) :: ([a], [b]) where ...
sUnzip :: forall (t :: [(a, b)]). Sing t -> Sing (Apply UnzipSym0 t :: ([a], [b])) :: Type
type family Unzip3 (a :: [(a, b, c)]) :: ([a], [b], [c]) where ...
sUnzip3 :: forall (t :: [(a, b, c)]). Sing t -> Sing (Apply Unzip3Sym0 t :: ([a], [b], [c])) :: Type
type family Unlines (a :: [Symbol]) :: Symbol where ...
sUnlines :: forall (t :: [Symbol]). Sing t -> Sing (Apply UnlinesSym0 t :: Symbol) :: Type
type family Unwords (a :: [Symbol]) :: Symbol where ...
sUnwords :: forall (t :: [Symbol]). Sing t -> Sing (Apply UnwordsSym0 t :: Symbol) :: Type
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) :: Type
- sShow_ :: forall (t :: a). Sing t -> Sing (Apply Show_Sym0 t :: Symbol) :: Type
- sShowList :: forall (t :: [a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t :: Symbol) :: Type
type family Shows (a :: a) (a :: Symbol) :: Symbol where ...
sShows :: forall (t :: a) (t :: Symbol). SShow a => Sing t -> Sing t -> Sing (Apply (Apply ShowsSym0 t) t :: Symbol) :: Type
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
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
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
type family FalseSym0 :: Bool where ...
type family TrueSym0 :: Bool where ...
data IfSym0 :: (~>) Bool ((~>) k ((~>) k k))
data IfSym1 (a6989586621679106255 :: Bool) :: (~>) k ((~>) k k)
data IfSym2 (a6989586621679106255 :: Bool) (a6989586621679106256 :: k) :: (~>) k k
type family IfSym3 (a6989586621679106255 :: Bool) (a6989586621679106256 :: k) (a6989586621679106257 :: k) :: k where ...
data (&&@#@$) :: (~>) Bool ((~>) Bool Bool)
data (&&@#@$$) (a6989586621679105336 :: Bool) :: (~>) Bool Bool
type family (a6989586621679105336 :: Bool) &&@#@$$$ (a6989586621679105337 :: Bool) :: Bool where ...
data (||@#@$) :: (~>) Bool ((~>) Bool Bool)
data (||@#@$$) (a6989586621679105694 :: Bool) :: (~>) Bool Bool
type family (a6989586621679105694 :: Bool) ||@#@$$$ (a6989586621679105695 :: Bool) :: Bool where ...
data NotSym0 :: (~>) Bool Bool
type family NotSym1 (a6989586621679106035 :: Bool) :: Bool where ...
type family OtherwiseSym0 :: Bool where ...
type family NothingSym0 :: Maybe (a :: Type) where ...
data JustSym0 :: (~>) a (Maybe (a :: Type))
type family JustSym1 (a6989586621679037528 :: a) :: Maybe (a :: Type) where ...
data Maybe_Sym0 :: (~>) b ((~>) ((~>) a b) ((~>) (Maybe a) b))
data Maybe_Sym1 (a6989586621679466255 :: b) :: (~>) ((~>) a b) ((~>) (Maybe a) b)
data Maybe_Sym2 (a6989586621679466255 :: b) (a6989586621679466256 :: (~>) a b) :: (~>) (Maybe a) b
type family Maybe_Sym3 (a6989586621679466255 :: b) (a6989586621679466256 :: (~>) a b) (a6989586621679466257 :: Maybe a) :: b where ...
data LeftSym0 :: (~>) a (Either (a :: Type) (b :: Type))
type family LeftSym1 (a6989586621679037600 :: a) :: Either (a :: Type) (b :: Type) where ...
data RightSym0 :: (~>) b (Either (a :: Type) (b :: Type))
type family RightSym1 (a6989586621679037602 :: b) :: Either (a :: Type) (b :: Type) where ...
data Either_Sym0 :: (~>) ((~>) a c) ((~>) ((~>) b c) ((~>) (Either a b) c))
data Either_Sym1 (a6989586621679264752 :: (~>) a c) :: (~>) ((~>) b c) ((~>) (Either a b) c)
data Either_Sym2 (a6989586621679264752 :: (~>) a c) (a6989586621679264753 :: (~>) b c) :: (~>) (Either a b) c
type family Either_Sym3 (a6989586621679264752 :: (~>) a c) (a6989586621679264753 :: (~>) b c) (a6989586621679264754 :: 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 (:@#@$$) (a6989586621679037552 :: a) :: (~>) [a] [a :: Type]
type family (a6989586621679037552 :: a) :@#@$$$ (a6989586621679037553 :: [a]) :: [a :: Type] where ...
type family NilSym0 :: [a :: Type] where ...
type family Tuple0Sym0 :: () where ...
data Tuple2Sym0 :: (~>) a ((~>) b (a :: Type, b :: Type))
data Tuple2Sym1 (a6989586621679038044 :: a) :: (~>) b (a :: Type, b :: Type)
type family Tuple2Sym2 (a6989586621679038044 :: a) (a6989586621679038045 :: b) :: (a :: Type, b :: Type) where ...
data Tuple3Sym0 :: (~>) a ((~>) b ((~>) c (a :: Type, b :: Type, c :: Type)))
data Tuple3Sym1 (a6989586621679038075 :: a) :: (~>) b ((~>) c (a :: Type, b :: Type, c :: Type))
data Tuple3Sym2 (a6989586621679038075 :: a) (a6989586621679038076 :: b) :: (~>) c (a :: Type, b :: Type, c :: Type)
type family Tuple3Sym3 (a6989586621679038075 :: a) (a6989586621679038076 :: b) (a6989586621679038077 :: c) :: (a :: Type, b :: Type, c :: Type) where ...
data Tuple4Sym0 :: (~>) a ((~>) b ((~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type))))
data Tuple4Sym1 (a6989586621679038124 :: a) :: (~>) b ((~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type)))
data Tuple4Sym2 (a6989586621679038124 :: a) (a6989586621679038125 :: b) :: (~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type))
data Tuple4Sym3 (a6989586621679038124 :: a) (a6989586621679038125 :: b) (a6989586621679038126 :: c) :: (~>) d (a :: Type, b :: Type, c :: Type, d :: Type)
type family Tuple4Sym4 (a6989586621679038124 :: a) (a6989586621679038125 :: b) (a6989586621679038126 :: c) (a6989586621679038127 :: 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 (a6989586621679038193 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type))))
data Tuple5Sym2 (a6989586621679038193 :: a) (a6989586621679038194 :: b) :: (~>) c ((~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type)))
data Tuple5Sym3 (a6989586621679038193 :: a) (a6989586621679038194 :: b) (a6989586621679038195 :: c) :: (~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type))
data Tuple5Sym4 (a6989586621679038193 :: a) (a6989586621679038194 :: b) (a6989586621679038195 :: c) (a6989586621679038196 :: d) :: (~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type)
type family Tuple5Sym5 (a6989586621679038193 :: a) (a6989586621679038194 :: b) (a6989586621679038195 :: c) (a6989586621679038196 :: d) (a6989586621679038197 :: 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 (a6989586621679038284 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)))))
data Tuple6Sym2 (a6989586621679038284 :: a) (a6989586621679038285 :: b) :: (~>) c ((~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))))
data Tuple6Sym3 (a6989586621679038284 :: a) (a6989586621679038285 :: b) (a6989586621679038286 :: c) :: (~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)))
data Tuple6Sym4 (a6989586621679038284 :: a) (a6989586621679038285 :: b) (a6989586621679038286 :: c) (a6989586621679038287 :: d) :: (~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))
data Tuple6Sym5 (a6989586621679038284 :: a) (a6989586621679038285 :: b) (a6989586621679038286 :: c) (a6989586621679038287 :: d) (a6989586621679038288 :: e) :: (~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)
type family Tuple6Sym6 (a6989586621679038284 :: a) (a6989586621679038285 :: b) (a6989586621679038286 :: c) (a6989586621679038287 :: d) (a6989586621679038288 :: e) (a6989586621679038289 :: 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 (a6989586621679038399 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))))))
data Tuple7Sym2 (a6989586621679038399 :: a) (a6989586621679038400 :: b) :: (~>) c ((~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)))))
data Tuple7Sym3 (a6989586621679038399 :: a) (a6989586621679038400 :: b) (a6989586621679038401 :: c) :: (~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))))
data Tuple7Sym4 (a6989586621679038399 :: a) (a6989586621679038400 :: b) (a6989586621679038401 :: c) (a6989586621679038402 :: d) :: (~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)))
data Tuple7Sym5 (a6989586621679038399 :: a) (a6989586621679038400 :: b) (a6989586621679038401 :: c) (a6989586621679038402 :: d) (a6989586621679038403 :: e) :: (~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))
data Tuple7Sym6 (a6989586621679038399 :: a) (a6989586621679038400 :: b) (a6989586621679038401 :: c) (a6989586621679038402 :: d) (a6989586621679038403 :: e) (a6989586621679038404 :: f) :: (~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)
type family Tuple7Sym7 (a6989586621679038399 :: a) (a6989586621679038400 :: b) (a6989586621679038401 :: c) (a6989586621679038402 :: d) (a6989586621679038403 :: e) (a6989586621679038404 :: f) (a6989586621679038405 :: g) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type) where ...
data FstSym0 :: (~>) (a, b) a
type family FstSym1 (a6989586621679137835 :: (a, b)) :: a where ...
data SndSym0 :: (~>) (a, b) b
type family SndSym1 (a6989586621679137831 :: (a, b)) :: b where ...
data CurrySym0 :: (~>) ((~>) (a, b) c) ((~>) a ((~>) b c))
data CurrySym1 (a6989586621679137823 :: (~>) (a, b) c) :: (~>) a ((~>) b c)
data CurrySym2 (a6989586621679137823 :: (~>) (a, b) c) (a6989586621679137824 :: a) :: (~>) b c
type family CurrySym3 (a6989586621679137823 :: (~>) (a, b) c) (a6989586621679137824 :: a) (a6989586621679137825 :: b) :: c where ...
data UncurrySym0 :: (~>) ((~>) a ((~>) b c)) ((~>) (a, b) c)
data UncurrySym1 (a6989586621679137815 :: (~>) a ((~>) b c)) :: (~>) (a, b) c
type family UncurrySym2 (a6989586621679137815 :: (~>) a ((~>) b c)) (a6989586621679137816 :: (a, b)) :: c where ...
data (==@#@$) :: (~>) a ((~>) a Bool)
data (==@#@$$) (a6989586621679109583 :: a) :: (~>) a Bool
type family (a6989586621679109583 :: a) ==@#@$$$ (a6989586621679109584 :: a) :: Bool where ...
data (/=@#@$) :: (~>) a ((~>) a Bool)
data (/=@#@$$) (a6989586621679109588 :: a) :: (~>) a Bool
type family (a6989586621679109588 :: a) /=@#@$$$ (a6989586621679109589 :: a) :: Bool where ...
data CompareSym0 :: (~>) a ((~>) a Ordering)
data CompareSym1 (a6989586621679190369 :: a) :: (~>) a Ordering
type family CompareSym2 (a6989586621679190369 :: a) (a6989586621679190370 :: a) :: Ordering where ...
data (<@#@$) :: (~>) a ((~>) a Bool)
data (<@#@$$) (a6989586621679190374 :: a) :: (~>) a Bool
type family (a6989586621679190374 :: a) <@#@$$$ (a6989586621679190375 :: a) :: Bool where ...
data (<=@#@$) :: (~>) a ((~>) a Bool)
data (<=@#@$$) (a6989586621679190379 :: a) :: (~>) a Bool
type family (a6989586621679190379 :: a) <=@#@$$$ (a6989586621679190380 :: a) :: Bool where ...
data (>@#@$) :: (~>) a ((~>) a Bool)
data (>@#@$$) (a6989586621679190384 :: a) :: (~>) a Bool
type family (a6989586621679190384 :: a) >@#@$$$ (a6989586621679190385 :: a) :: Bool where ...
data (>=@#@$) :: (~>) a ((~>) a Bool)
data (>=@#@$$) (a6989586621679190389 :: a) :: (~>) a Bool
type family (a6989586621679190389 :: a) >=@#@$$$ (a6989586621679190390 :: a) :: Bool where ...
data MaxSym0 :: (~>) a ((~>) a a)
data MaxSym1 (a6989586621679190394 :: a) :: (~>) a a
type family MaxSym2 (a6989586621679190394 :: a) (a6989586621679190395 :: a) :: a where ...
data MinSym0 :: (~>) a ((~>) a a)
data MinSym1 (a6989586621679190399 :: a) :: (~>) a a
type family MinSym2 (a6989586621679190399 :: a) (a6989586621679190400 :: a) :: a where ...
data ToEnumSym0 :: (~>) Natural a
type family ToEnumSym1 (a6989586621679496118 :: Natural) :: a where ...
data FromEnumSym0 :: (~>) a Natural
type family FromEnumSym1 (a6989586621679496121 :: a) :: Natural where ...
data EnumFromToSym0 :: (~>) a ((~>) a [a])
data EnumFromToSym1 (a6989586621679496125 :: a) :: (~>) a [a]
type family EnumFromToSym2 (a6989586621679496125 :: a) (a6989586621679496126 :: a) :: [a] where ...
data EnumFromThenToSym0 :: (~>) a ((~>) a ((~>) a [a]))
data EnumFromThenToSym1 (a6989586621679496131 :: a) :: (~>) a ((~>) a [a])
data EnumFromThenToSym2 (a6989586621679496131 :: a) (a6989586621679496132 :: a) :: (~>) a [a]
type family EnumFromThenToSym3 (a6989586621679496131 :: a) (a6989586621679496132 :: a) (a6989586621679496133 :: a) :: [a] where ...
type family MinBoundSym0 :: a where ...
type family MaxBoundSym0 :: a where ...
data (+@#@$) :: (~>) a ((~>) a a)
data (+@#@$$) (a6989586621679477080 :: a) :: (~>) a a
type family (a6989586621679477080 :: a) +@#@$$$ (a6989586621679477081 :: a) :: a where ...
data (-@#@$) :: (~>) a ((~>) a a)
data (-@#@$$) (a6989586621679477085 :: a) :: (~>) a a
type family (a6989586621679477085 :: a) -@#@$$$ (a6989586621679477086 :: a) :: a where ...
data (*@#@$) :: (~>) a ((~>) a a)
data (*@#@$$) (a6989586621679477090 :: a) :: (~>) a a
type family (a6989586621679477090 :: a) *@#@$$$ (a6989586621679477091 :: a) :: a where ...
data NegateSym0 :: (~>) a a
type family NegateSym1 (a6989586621679477094 :: a) :: a where ...
data AbsSym0 :: (~>) a a
type family AbsSym1 (a6989586621679477097 :: a) :: a where ...
data SignumSym0 :: (~>) a a
type family SignumSym1 (a6989586621679477100 :: a) :: a where ...
data FromIntegerSym0 :: (~>) Natural a
type family FromIntegerSym1 (a6989586621679477103 :: Natural) :: a where ...
data SubtractSym0 :: (~>) a ((~>) a a)
data SubtractSym1 (a6989586621679477073 :: a) :: (~>) a a
type family SubtractSym2 (a6989586621679477073 :: a) (a6989586621679477074 :: a) :: a where ...
data (<>@#@$) :: (~>) a ((~>) a a)
data (<>@#@$$) (a6989586621679166895 :: a) :: (~>) a a
type family (a6989586621679166895 :: a) <>@#@$$$ (a6989586621679166896 :: a) :: a where ...
type family MemptySym0 :: a where ...
data MappendSym0 :: (~>) a ((~>) a a)
data MappendSym1 (a6989586621680031457 :: a) :: (~>) a a
type family MappendSym2 (a6989586621680031457 :: a) (a6989586621680031458 :: a) :: a where ...
data MconcatSym0 :: (~>) [a] a
type family MconcatSym1 (a6989586621680031461 :: [a]) :: a where ...
data FmapSym0 :: (~>) ((~>) a b) ((~>) (f a) (f b))
data FmapSym1 (a6989586621679276541 :: (~>) a b) :: (~>) (f a) (f b)
type family FmapSym2 (a6989586621679276541 :: (~>) a b) (a6989586621679276542 :: f a) :: f b where ...
data (<$@#@$) :: (~>) a ((~>) (f b) (f a))
data (<$@#@$$) (a6989586621679276546 :: a) :: (~>) (f b) (f a)
type family (a6989586621679276546 :: a) <$@#@$$$ (a6989586621679276547 :: f b) :: f a where ...
data (<$>@#@$) :: (~>) ((~>) a b) ((~>) (f a) (f b))
data (<$>@#@$$) (a6989586621679430465 :: (~>) a b) :: (~>) (f a) (f b)
type family (a6989586621679430465 :: (~>) a b) <$>@#@$$$ (a6989586621679430466 :: f a) :: f b where ...
data PureSym0 :: (~>) a (f a)
type family PureSym1 (a6989586621679276565 :: a) :: f a where ...
data (<*>@#@$) :: (~>) (f ((~>) a b)) ((~>) (f a) (f b))
data (<*>@#@$$) (a6989586621679276569 :: f ((~>) a b)) :: (~>) (f a) (f b)
type family (a6989586621679276569 :: f ((~>) a b)) <*>@#@$$$ (a6989586621679276570 :: f a) :: f b where ...
data (*>@#@$) :: (~>) (f a) ((~>) (f b) (f b))
data (*>@#@$$) (a6989586621679276581 :: f a) :: (~>) (f b) (f b)
type family (a6989586621679276581 :: f a) *>@#@$$$ (a6989586621679276582 :: f b) :: f b where ...
data (<*@#@$) :: (~>) (f a) ((~>) (f b) (f a))
data (<*@#@$$) (a6989586621679276586 :: f a) :: (~>) (f b) (f a)
type family (a6989586621679276586 :: f a) <*@#@$$$ (a6989586621679276587 :: f b) :: f a where ...
data LiftA2Sym0 :: (~>) ((~>) a ((~>) b c)) ((~>) (f a) ((~>) (f b) (f c)))
data LiftA2Sym1 (a6989586621679276575 :: (~>) a ((~>) b c)) :: (~>) (f a) ((~>) (f b) (f c))
data LiftA2Sym2 (a6989586621679276575 :: (~>) a ((~>) b c)) (a6989586621679276576 :: f a) :: (~>) (f b) (f c)
type family LiftA2Sym3 (a6989586621679276575 :: (~>) a ((~>) b c)) (a6989586621679276576 :: f a) (a6989586621679276577 :: f b) :: f c where ...
data (>>=@#@$) :: (~>) (m a) ((~>) ((~>) a (m b)) (m b))
data (>>=@#@$$) (a6989586621679276649 :: m a) :: (~>) ((~>) a (m b)) (m b)
type family (a6989586621679276649 :: m a) >>=@#@$$$ (a6989586621679276650 :: (~>) a (m b)) :: m b where ...
data (>>@#@$) :: (~>) (m a) ((~>) (m b) (m b))
data (>>@#@$$) (a6989586621679276654 :: m a) :: (~>) (m b) (m b)
type family (a6989586621679276654 :: m a) >>@#@$$$ (a6989586621679276655 :: m b) :: m b where ...
data ReturnSym0 :: (~>) a (m a)
type family ReturnSym1 (a6989586621679276658 :: a) :: m a where ...
data FailSym0 :: (~>) [Char] (m a)
type family FailSym1 (a6989586621679444078 :: [Char]) :: m a where ...
data MapM_Sym0 :: (~>) ((~>) a (m b)) ((~>) (t a) (m ()))
data MapM_Sym1 (a6989586621680110487 :: (~>) a (m b)) :: (~>) (t a) (m ())
type family MapM_Sym2 (a6989586621680110487 :: (~>) a (m b)) (a6989586621680110488 :: t a) :: m () where ...
data Sequence_Sym0 :: (~>) (t (m a)) (m ())
type family Sequence_Sym1 (a6989586621680110463 :: t (m a)) :: m () where ...
data (=<<@#@$) :: (~>) ((~>) a (m b)) ((~>) (m a) (m b))
data (=<<@#@$$) (a6989586621679276494 :: (~>) a (m b)) :: (~>) (m a) (m b)
type family (a6989586621679276494 :: (~>) a (m b)) =<<@#@$$$ (a6989586621679276495 :: m a) :: m b where ...
data ElemSym0 :: (~>) a ((~>) (t a) Bool)
data ElemSym1 (a6989586621680110605 :: a) :: (~>) (t a) Bool
type family ElemSym2 (a6989586621680110605 :: a) (a6989586621680110606 :: t a) :: Bool where ...
data FoldMapSym0 :: (~>) ((~>) a m) ((~>) (t a) m)
data FoldMapSym1 (a6989586621680110553 :: (~>) a m) :: (~>) (t a) m
type family FoldMapSym2 (a6989586621680110553 :: (~>) a m) (a6989586621680110554 :: t a) :: m where ...
data FoldrSym0 :: (~>) ((~>) a ((~>) b b)) ((~>) b ((~>) (t a) b))
data FoldrSym1 (a6989586621680110559 :: (~>) a ((~>) b b)) :: (~>) b ((~>) (t a) b)
data FoldrSym2 (a6989586621680110559 :: (~>) a ((~>) b b)) (a6989586621680110560 :: b) :: (~>) (t a) b
type family FoldrSym3 (a6989586621680110559 :: (~>) a ((~>) b b)) (a6989586621680110560 :: b) (a6989586621680110561 :: t a) :: b where ...
data FoldlSym0 :: (~>) ((~>) b ((~>) a b)) ((~>) b ((~>) (t a) b))
data FoldlSym1 (a6989586621680110573 :: (~>) b ((~>) a b)) :: (~>) b ((~>) (t a) b)
data FoldlSym2 (a6989586621680110573 :: (~>) b ((~>) a b)) (a6989586621680110574 :: b) :: (~>) (t a) b
type family FoldlSym3 (a6989586621680110573 :: (~>) b ((~>) a b)) (a6989586621680110574 :: b) (a6989586621680110575 :: t a) :: b where ...
data Foldr1Sym0 :: (~>) ((~>) a ((~>) a a)) ((~>) (t a) a)
data Foldr1Sym1 (a6989586621680110586 :: (~>) a ((~>) a a)) :: (~>) (t a) a
type family Foldr1Sym2 (a6989586621680110586 :: (~>) a ((~>) a a)) (a6989586621680110587 :: t a) :: a where ...
data Foldl1Sym0 :: (~>) ((~>) a ((~>) a a)) ((~>) (t a) a)
data Foldl1Sym1 (a6989586621680110591 :: (~>) a ((~>) a a)) :: (~>) (t a) a
type family Foldl1Sym2 (a6989586621680110591 :: (~>) a ((~>) a a)) (a6989586621680110592 :: t a) :: a where ...
data MaximumSym0 :: (~>) (t a) a
type family MaximumSym1 (a6989586621680110609 :: t a) :: a where ...
data MinimumSym0 :: (~>) (t a) a
type family MinimumSym1 (a6989586621680110612 :: t a) :: a where ...
data ProductSym0 :: (~>) (t a) a
type family ProductSym1 (a6989586621680110618 :: t a) :: a where ...
data SumSym0 :: (~>) (t a) a
type family SumSym1 (a6989586621680110615 :: t a) :: a where ...
data TraverseSym0 :: (~>) ((~>) a (f b)) ((~>) (t a) (f (t b)))
data TraverseSym1 (a6989586621680379945 :: (~>) a (f b)) :: (~>) (t a) (f (t b))
type family TraverseSym2 (a6989586621680379945 :: (~>) a (f b)) (a6989586621680379946 :: t a) :: f (t b) where ...
data SequenceASym0 :: (~>) (t (f a)) (f (t a))
type family SequenceASym1 (a6989586621680379949 :: t (f a)) :: f (t a) where ...
data MapMSym0 :: (~>) ((~>) a (m b)) ((~>) (t a) (m (t b)))
data MapMSym1 (a6989586621680379953 :: (~>) a (m b)) :: (~>) (t a) (m (t b))
type family MapMSym2 (a6989586621680379953 :: (~>) a (m b)) (a6989586621680379954 :: t a) :: m (t b) where ...
data SequenceSym0 :: (~>) (t (m a)) (m (t a))
type family SequenceSym1 (a6989586621680379957 :: t (m a)) :: m (t a) where ...
data IdSym0 :: (~>) a a
type family IdSym1 (a6989586621679144192 :: a) :: a where ...
data ConstSym0 :: (~>) a ((~>) b a)
data ConstSym1 (a6989586621679144187 :: a) :: (~>) b a
type family ConstSym2 (a6989586621679144187 :: a) (a6989586621679144188 :: b) :: a where ...
data (.@#@$) :: (~>) ((~>) b c) ((~>) ((~>) a b) ((~>) a c))
data (.@#@$$) (a6989586621679144174 :: (~>) b c) :: (~>) ((~>) a b) ((~>) a c)
data (a6989586621679144174 :: (~>) b c) .@#@$$$ (a6989586621679144175 :: (~>) a b) :: (~>) a c
type family ((a6989586621679144174 :: (~>) b c) .@#@$$$$ (a6989586621679144175 :: (~>) a b)) (a6989586621679144176 :: a) :: c where ...
data FlipSym0 :: (~>) ((~>) a ((~>) b c)) ((~>) b ((~>) a c))
data FlipSym1 (a6989586621679144162 :: (~>) a ((~>) b c)) :: (~>) b ((~>) a c)
data FlipSym2 (a6989586621679144162 :: (~>) a ((~>) b c)) (a6989586621679144163 :: b) :: (~>) a c
type family FlipSym3 (a6989586621679144162 :: (~>) a ((~>) b c)) (a6989586621679144163 :: b) (a6989586621679144164 :: a) :: c where ...
data ($@#@$) :: (~>) ((~>) a b) ((~>) a b)
data ($@#@$$) (a6989586621679144143 :: (~>) a b) :: (~>) a b
type family (a6989586621679144143 :: (~>) a b) $@#@$$$ (a6989586621679144144 :: a) :: b where ...
data UntilSym0 :: (~>) ((~>) a Bool) ((~>) ((~>) a a) ((~>) a a))
data UntilSym1 (a6989586621679144116 :: (~>) a Bool) :: (~>) ((~>) a a) ((~>) a a)
data UntilSym2 (a6989586621679144116 :: (~>) a Bool) (a6989586621679144117 :: (~>) a a) :: (~>) a a
type family UntilSym3 (a6989586621679144116 :: (~>) a Bool) (a6989586621679144117 :: (~>) a a) (a6989586621679144118 :: a) :: a where ...
data AsTypeOfSym0 :: (~>) a ((~>) a a)
data AsTypeOfSym1 (a6989586621679144154 :: a) :: (~>) a a
type family AsTypeOfSym2 (a6989586621679144154 :: a) (a6989586621679144155 :: a) :: a where ...
data ErrorSym0 :: (~>) Symbol a
type family ErrorSym1 (a6989586621679450964 :: Symbol) :: a where ...
data ErrorWithoutStackTraceSym0 :: (~>) Symbol a
type family ErrorWithoutStackTraceSym1 (a6989586621679451222 :: Symbol) :: a where ...
type family UndefinedSym0 :: a where ...
data SeqSym0 :: (~>) a ((~>) b b)
data SeqSym1 (a6989586621679144107 :: a) :: (~>) b b
type family SeqSym2 (a6989586621679144107 :: a) (a6989586621679144108 :: b) :: b where ...
data ($!@#@$) :: (~>) ((~>) a b) ((~>) a b)
data ($!@#@$$) (a6989586621679144134 :: (~>) a b) :: (~>) a b
type family (a6989586621679144134 :: (~>) a b) $!@#@$$$ (a6989586621679144135 :: a) :: b where ...
data MapSym0 :: (~>) ((~>) a b) ((~>) [a] [b])
data MapSym1 (a6989586621679144206 :: (~>) a b) :: (~>) [a] [b]
type family MapSym2 (a6989586621679144206 :: (~>) a b) (a6989586621679144207 :: [a]) :: [b] where ...
data (++@#@$) :: (~>) [a] ((~>) [a] [a])
data (++@#@$$) (a6989586621679144197 :: [a]) :: (~>) [a] [a]
type family (a6989586621679144197 :: [a]) ++@#@$$$ (a6989586621679144198 :: [a]) :: [a] where ...
data FilterSym0 :: (~>) ((~>) a Bool) ((~>) [a] [a])
data FilterSym1 (a6989586621679653530 :: (~>) a Bool) :: (~>) [a] [a]
type family FilterSym2 (a6989586621679653530 :: (~>) a Bool) (a6989586621679653531 :: [a]) :: [a] where ...
data HeadSym0 :: (~>) [a] a
type family HeadSym1 (a6989586621679654300 :: [a]) :: a where ...
data LastSym0 :: (~>) [a] a
type family LastSym1 (a6989586621679654294 :: [a]) :: a where ...
data TailSym0 :: (~>) [a] [a]
type family TailSym1 (a6989586621679654290 :: [a]) :: [a] where ...
data InitSym0 :: (~>) [a] [a]
type family InitSym1 (a6989586621679654278 :: [a]) :: [a] where ...
data (!!@#@$) :: (~>) [a] ((~>) Natural a)
data (!!@#@$$) (a6989586621679653138 :: [a]) :: (~>) Natural a
type family (a6989586621679653138 :: [a]) !!@#@$$$ (a6989586621679653139 :: Natural) :: a where ...
data NullSym0 :: (~>) (t a) Bool
type family NullSym1 (a6989586621680110598 :: t a) :: Bool where ...
data LengthSym0 :: (~>) (t a) Natural
type family LengthSym1 (a6989586621680110601 :: t a) :: Natural where ...
data ReverseSym0 :: (~>) [a] [a]
type family ReverseSym1 (a6989586621679654263 :: [a]) :: [a] where ...
data AndSym0 :: (~>) (t Bool) Bool
type family AndSym1 (a6989586621680110424 :: t Bool) :: Bool where ...
data OrSym0 :: (~>) (t Bool) Bool
type family OrSym1 (a6989586621680110418 :: t Bool) :: Bool where ...
data AnySym0 :: (~>) ((~>) a Bool) ((~>) (t a) Bool)
data AnySym1 (a6989586621680110410 :: (~>) a Bool) :: (~>) (t a) Bool
type family AnySym2 (a6989586621680110410 :: (~>) a Bool) (a6989586621680110411 :: t a) :: Bool where ...
data AllSym0 :: (~>) ((~>) a Bool) ((~>) (t a) Bool)
data AllSym1 (a6989586621680110401 :: (~>) a Bool) :: (~>) (t a) Bool
type family AllSym2 (a6989586621680110401 :: (~>) a Bool) (a6989586621680110402 :: t a) :: Bool where ...
data ConcatSym0 :: (~>) (t [a]) [a]
type family ConcatSym1 (a6989586621680110440 :: t [a]) :: [a] where ...
data ConcatMapSym0 :: (~>) ((~>) a [b]) ((~>) (t a) [b])
data ConcatMapSym1 (a6989586621680110429 :: (~>) a [b]) :: (~>) (t a) [b]
type family ConcatMapSym2 (a6989586621680110429 :: (~>) a [b]) (a6989586621680110430 :: t a) :: [b] where ...
data ScanlSym0 :: (~>) ((~>) b ((~>) a b)) ((~>) b ((~>) [a] [b]))
data ScanlSym1 (a6989586621679654068 :: (~>) b ((~>) a b)) :: (~>) b ((~>) [a] [b])
data ScanlSym2 (a6989586621679654068 :: (~>) b ((~>) a b)) (a6989586621679654069 :: b) :: (~>) [a] [b]
type family ScanlSym3 (a6989586621679654068 :: (~>) b ((~>) a b)) (a6989586621679654069 :: b) (a6989586621679654070 :: [a]) :: [b] where ...
data Scanl1Sym0 :: (~>) ((~>) a ((~>) a a)) ((~>) [a] [a])
data Scanl1Sym1 (a6989586621679654059 :: (~>) a ((~>) a a)) :: (~>) [a] [a]
type family Scanl1Sym2 (a6989586621679654059 :: (~>) a ((~>) a a)) (a6989586621679654060 :: [a]) :: [a] where ...
data ScanrSym0 :: (~>) ((~>) a ((~>) b b)) ((~>) b ((~>) [a] [b]))
data ScanrSym1 (a6989586621679654041 :: (~>) a ((~>) b b)) :: (~>) b ((~>) [a] [b])
data ScanrSym2 (a6989586621679654041 :: (~>) a ((~>) b b)) (a6989586621679654042 :: b) :: (~>) [a] [b]
type family ScanrSym3 (a6989586621679654041 :: (~>) a ((~>) b b)) (a6989586621679654042 :: b) (a6989586621679654043 :: [a]) :: [b] where ...
data Scanr1Sym0 :: (~>) ((~>) a ((~>) a a)) ((~>) [a] [a])
data Scanr1Sym1 (a6989586621679654021 :: (~>) a ((~>) a a)) :: (~>) [a] [a]
type family Scanr1Sym2 (a6989586621679654021 :: (~>) a ((~>) a a)) (a6989586621679654022 :: [a]) :: [a] where ...
data ReplicateSym0 :: (~>) Natural ((~>) a [a])
data ReplicateSym1 (a6989586621679653158 :: Natural) :: (~>) a [a]
type family ReplicateSym2 (a6989586621679653158 :: Natural) (a6989586621679653159 :: a) :: [a] where ...
data TakeSym0 :: (~>) Natural ((~>) [a] [a])
data TakeSym1 (a6989586621679653313 :: Natural) :: (~>) [a] [a]
type family TakeSym2 (a6989586621679653313 :: Natural) (a6989586621679653314 :: [a]) :: [a] where ...
data DropSym0 :: (~>) Natural ((~>) [a] [a])
data DropSym1 (a6989586621679653300 :: Natural) :: (~>) [a] [a]
type family DropSym2 (a6989586621679653300 :: Natural) (a6989586621679653301 :: [a]) :: [a] where ...
data TakeWhileSym0 :: (~>) ((~>) a Bool) ((~>) [a] [a])
data TakeWhileSym1 (a6989586621679653430 :: (~>) a Bool) :: (~>) [a] [a]
type family TakeWhileSym2 (a6989586621679653430 :: (~>) a Bool) (a6989586621679653431 :: [a]) :: [a] where ...
data DropWhileSym0 :: (~>) ((~>) a Bool) ((~>) [a] [a])
data DropWhileSym1 (a6989586621679653415 :: (~>) a Bool) :: (~>) [a] [a]
type family DropWhileSym2 (a6989586621679653415 :: (~>) a Bool) (a6989586621679653416 :: [a]) :: [a] where ...
data DropWhileEndSym0 :: (~>) ((~>) a Bool) ((~>) [a] [a])
data DropWhileEndSym1 (a6989586621679653398 :: (~>) a Bool) :: (~>) [a] [a]
type family DropWhileEndSym2 (a6989586621679653398 :: (~>) a Bool) (a6989586621679653399 :: [a]) :: [a] where ...
data SpanSym0 :: (~>) ((~>) a Bool) ((~>) [a] ([a], [a]))
data SpanSym1 (a6989586621679653361 :: (~>) a Bool) :: (~>) [a] ([a], [a])
type family SpanSym2 (a6989586621679653361 :: (~>) a Bool) (a6989586621679653362 :: [a]) :: ([a], [a]) where ...
data BreakSym0 :: (~>) ((~>) a Bool) ((~>) [a] ([a], [a]))
data BreakSym1 (a6989586621679653326 :: (~>) a Bool) :: (~>) [a] ([a], [a])
type family BreakSym2 (a6989586621679653326 :: (~>) a Bool) (a6989586621679653327 :: [a]) :: ([a], [a]) where ...
data SplitAtSym0 :: (~>) Natural ((~>) [a] ([a], [a]))
data SplitAtSym1 (a6989586621679653293 :: Natural) :: (~>) [a] ([a], [a])
type family SplitAtSym2 (a6989586621679653293 :: Natural) (a6989586621679653294 :: [a]) :: ([a], [a]) where ...
data NotElemSym0 :: (~>) a ((~>) (t a) Bool)
data NotElemSym1 (a6989586621680110352 :: a) :: (~>) (t a) Bool
type family NotElemSym2 (a6989586621680110352 :: a) (a6989586621680110353 :: t a) :: Bool where ...
data LookupSym0 :: (~>) a ((~>) [(a, b)] (Maybe b))
data LookupSym1 (a6989586621679653221 :: a) :: (~>) [(a, b)] (Maybe b)
type family LookupSym2 (a6989586621679653221 :: a) (a6989586621679653222 :: [(a, b)]) :: Maybe b where ...
data ZipSym0 :: (~>) [a] ((~>) [b] [(a, b)])
data ZipSym1 (a6989586621679653848 :: [a]) :: (~>) [b] [(a, b)]
type family ZipSym2 (a6989586621679653848 :: [a]) (a6989586621679653849 :: [b]) :: [(a, b)] where ...
data Zip3Sym0 :: (~>) [a] ((~>) [b] ((~>) [c] [(a, b, c)]))
data Zip3Sym1 (a6989586621679653836 :: [a]) :: (~>) [b] ((~>) [c] [(a, b, c)])
data Zip3Sym2 (a6989586621679653836 :: [a]) (a6989586621679653837 :: [b]) :: (~>) [c] [(a, b, c)]
type family Zip3Sym3 (a6989586621679653836 :: [a]) (a6989586621679653837 :: [b]) (a6989586621679653838 :: [c]) :: [(a, b, c)] where ...
data ZipWithSym0 :: (~>) ((~>) a ((~>) b c)) ((~>) [a] ((~>) [b] [c]))
data ZipWithSym1 (a6989586621679653824 :: (~>) a ((~>) b c)) :: (~>) [a] ((~>) [b] [c])
data ZipWithSym2 (a6989586621679653824 :: (~>) a ((~>) b c)) (a6989586621679653825 :: [a]) :: (~>) [b] [c]
type family ZipWithSym3 (a6989586621679653824 :: (~>) a ((~>) b c)) (a6989586621679653825 :: [a]) (a6989586621679653826 :: [b]) :: [c] where ...
data ZipWith3Sym0 :: (~>) ((~>) a ((~>) b ((~>) c d))) ((~>) [a] ((~>) [b] ((~>) [c] [d])))
data ZipWith3Sym1 (a6989586621679653809 :: (~>) a ((~>) b ((~>) c d))) :: (~>) [a] ((~>) [b] ((~>) [c] [d]))
data ZipWith3Sym2 (a6989586621679653809 :: (~>) a ((~>) b ((~>) c d))) (a6989586621679653810 :: [a]) :: (~>) [b] ((~>) [c] [d])
data ZipWith3Sym3 (a6989586621679653809 :: (~>) a ((~>) b ((~>) c d))) (a6989586621679653810 :: [a]) (a6989586621679653811 :: [b]) :: (~>) [c] [d]
data UnzipSym0 :: (~>) [(a, b)] ([a], [b])
type family UnzipSym1 (a6989586621679653790 :: [(a, b)]) :: ([a], [b]) where ...
data Unzip3Sym0 :: (~>) [(a, b, c)] ([a], [b], [c])
type family Unzip3Sym1 (a6989586621679653772 :: [(a, b, c)]) :: ([a], [b], [c]) where ...
data UnlinesSym0 :: (~>) [Symbol] Symbol
type family UnlinesSym1 (a6989586621679653675 :: [Symbol]) :: Symbol where ...
data UnwordsSym0 :: (~>) [Symbol] Symbol
type family UnwordsSym1 (a6989586621679653665 :: [Symbol]) :: Symbol where ...
data ShowsPrecSym0 :: (~>) Natural ((~>) a ((~>) Symbol Symbol))
data ShowsPrecSym1 (a6989586621679965742 :: Natural) :: (~>) a ((~>) Symbol Symbol)
data ShowsPrecSym2 (a6989586621679965742 :: Natural) (a6989586621679965743 :: a) :: (~>) Symbol Symbol
type family ShowsPrecSym3 (a6989586621679965742 :: Natural) (a6989586621679965743 :: a) (a6989586621679965744 :: Symbol) :: Symbol where ...
data ShowListSym0 :: (~>) [a] ((~>) Symbol Symbol)
data ShowListSym1 (a6989586621679965751 :: [a]) :: (~>) Symbol Symbol
type family ShowListSym2 (a6989586621679965751 :: [a]) (a6989586621679965752 :: Symbol) :: Symbol where ...
data Show_Sym0 :: (~>) a Symbol
type family Show_Sym1 (a6989586621679965747 :: a) :: Symbol where ...
data ShowsSym0 :: (~>) a ((~>) Symbol Symbol)
data ShowsSym1 (a6989586621679965734 :: a) :: (~>) Symbol Symbol
type family ShowsSym2 (a6989586621679965734 :: a) (a6989586621679965735 :: Symbol) :: Symbol where ...
data ShowCharSym0 :: (~>) Char ((~>) Symbol Symbol)
data ShowCharSym1 (a6989586621679965708 :: Char) :: (~>) Symbol Symbol
type family ShowCharSym2 (a6989586621679965708 :: Char) (a6989586621679965709 :: Symbol) :: Symbol where ...
data ShowStringSym0 :: (~>) Symbol ((~>) Symbol Symbol)
data ShowStringSym1 (a6989586621679965697 :: Symbol) :: (~>) Symbol Symbol
type family ShowStringSym2 (a6989586621679965697 :: Symbol) (a6989586621679965698 :: Symbol) :: Symbol where ...
data ShowParenSym0 :: (~>) Bool ((~>) ((~>) Symbol Symbol) ((~>) Symbol Symbol))
data ShowParenSym1 (a6989586621679965681 :: Bool) :: (~>) ((~>) Symbol Symbol) ((~>) Symbol Symbol)
data ShowParenSym2 (a6989586621679965681 :: Bool) (a6989586621679965682 :: (~>) Symbol Symbol) :: (~>) Symbol Symbol

Basic singleton definitions

module Data.Singletons

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 ... #

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 ... #

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 ... #

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 ... #

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) :: Type 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 (t :: b) (t :: (~>) a b) (t :: Maybe a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Maybe_Sym0 t) t) t :: b) :: Type 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 (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) :: Type 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 (s :: Char) #

Instances

Instances details

TestCoercion SChar
Instance details Defined in GHC.TypeLits Methods testCoercion :: forall (a :: k) (b :: k). SChar a -> SChar b -> Maybe (Coercion a b)
TestEquality SChar
Instance details Defined in GHC.TypeLits Methods testEquality :: forall (a :: k) (b :: k). SChar a -> SChar b -> Maybe (a :~: b)
Show (SChar c)
Instance details Defined in GHC.TypeLits Methods showsPrec :: Int -> SChar c -> ShowS show :: SChar c -> String showList :: [SChar c] -> ShowS

data Symbol #

Instances

Instances details

IsString Symbol
Instance details Defined in GHC.TypeLits.Singletons Methods fromString :: String -> Symbol
Monoid Symbol
Instance details Defined in GHC.TypeLits.Singletons Methods mempty :: Symbol mappend :: Symbol -> Symbol -> Symbol mconcat :: [Symbol] -> Symbol
Semigroup Symbol
Instance details Defined in GHC.TypeLits.Singletons Methods (<>) :: Symbol -> Symbol -> Symbol sconcat :: NonEmpty Symbol -> Symbol stimes :: Integral b => b -> Symbol -> Symbol
SingKind Symbol
Instance details Defined in GHC.Generics Associated Types type DemoteRep Symbol Methods fromSing :: forall (a :: Symbol). Sing a -> DemoteRep Symbol
Show Symbol
Instance details Defined in GHC.TypeLits.Singletons Methods showsPrec :: Int -> Symbol -> ShowS show :: Symbol -> String showList :: [Symbol] -> ShowS
Eq Symbol	This bogus instance is helpful for people who want to define functions over Symbols that will only be used at the type level or as singletons.
Instance details Defined in GHC.TypeLits.Singletons Methods (==) :: Symbol -> Symbol -> Bool (/=) :: Symbol -> Symbol -> Bool
Ord Symbol
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 Source #
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 Source #
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 == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
SEq Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods (%==) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
PMonoid Symbol Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg1 :: a Source # type Mconcat arg :: a Source #
SMonoid Symbol Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
SOrd Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sCompare :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
PSemigroup Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
SSemigroup Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods (%<>) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) 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 arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
SShow Symbol Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Symbol) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Symbol). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Symbol]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
TestCoercion SSymbol
Instance details Defined in GHC.TypeLits Methods testCoercion :: forall (a :: k) (b :: k). SSymbol a -> SSymbol b -> Maybe (Coercion a b)
TestEquality SSymbol
Instance details Defined in GHC.TypeLits Methods testEquality :: forall (a :: k) (b :: k). SSymbol a -> SSymbol b -> Maybe (a :~: b)
KnownSymbol a => SingI (a :: Symbol)
Instance details Defined in GHC.Generics Methods sing :: Sing a
KnownSymbol n => SingI (n :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sing :: Sing n #
SingI2 ('(:$$:) :: ErrorMessage' Symbol -> ErrorMessage' Symbol -> ErrorMessage' Symbol) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (x ':$$: y) #
SingI2 ('(:<>:) :: ErrorMessage' Symbol -> ErrorMessage' Symbol -> ErrorMessage' Symbol) Source #
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) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods liftSing :: forall (x :: k1). Sing x -> Sing ('Text x) #
SingI e1 => SingI1 ('(:$$:) e1 :: ErrorMessage' Symbol -> ErrorMessage' Symbol) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods liftSing :: forall (x :: k1). Sing x -> Sing (e1 ':$$: x) #
SingI e1 => SingI1 ('(:<>:) e1 :: ErrorMessage' Symbol -> ErrorMessage' Symbol) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods liftSing :: forall (x :: k1). Sing x -> Sing (e1 ':<>: x) #
SingI1 ('ShowType :: t -> ErrorMessage' Symbol) Source #
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) Source #
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) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing ('Text t) #
SingI1 ShowParenSym1 Source #
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowParenSym1 x) #
SingI1 ShowCharSym1 Source #
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowCharSym1 x) #
SingI1 ConsSymbolSym1 Source #
Instance details Defined in GHC.TypeLits.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ConsSymbolSym1 x) #
SingI1 ShowStringSym1 Source #
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) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods liftSing :: forall (x :: k1). Sing x -> Sing ((:$$:@#@$$) x) #
SingI1 ((:<>:@#@$$) :: ErrorMessage' Symbol -> TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods liftSing :: forall (x :: k1). Sing x -> Sing ((:<>:@#@$$) x) #
SShow a => SingI1 (ShowsPrecSym1 :: Natural -> TyFun a (Symbol ~> Symbol) -> Type) Source #
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) Source #
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) Source #
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowsPrecSym2 d x) #
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 e1, SingI e2) => SingI (e1 ':$$: e2 :: ErrorMessage' Symbol) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing (e1 ':$$: e2) #
(SingI e1, SingI e2) => SingI (e1 ':<>: e2 :: ErrorMessage' Symbol) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing (e1 ':<>: e2) #
SingI ty => SingI ('ShowType ty :: ErrorMessage' Symbol) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing ('ShowType ty) #
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) #
SingI d => SingI1 (ShowListWithSym2 d :: [a] -> TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ShowListWithSym2 d x) #
SingI ShowParenSym0 Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowParenSym0 #
SingI ShowCharSym0 Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowCharSym0 #
SingI UnlinesSym0 Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing UnlinesSym0 #
SingI UnwordsSym0 Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing UnwordsSym0 #
SingI ShowStringSym0 Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowStringSym0 #
SingI ShowCommaSpaceSym0 Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowCommaSpaceSym0 #
SingI ShowSpaceSym0 Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowSpaceSym0 #
SingI ConsSymbolSym0 Source #
Instance details Defined in GHC.TypeLits.Singletons Methods sing :: Sing ConsSymbolSym0 #
SingI UnconsSymbolSym0 Source #
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 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 :: () #
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 :: () #
SingI d => SingI (ShowParenSym1 d :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowParenSym1 d) #
SingI (ShowListWithSym0 :: TyFun (a ~> (Symbol ~> Symbol)) ([a] ~> (Symbol ~> Symbol)) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowListWithSym0 #
SingI ((:$$:@#@$) :: TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol ~> ErrorMessage' Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing (:$$:@#@$) #
SingI ((:<>:@#@$) :: TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol ~> ErrorMessage' Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing (:<>:@#@$) #
SShow a => SingI (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowsPrecSym0 #
SShow a => SingI (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowListSym0 #
SingI (TextSym0 :: TyFun Symbol (ErrorMessage' Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing TextSym0 #
SingI d => SingI (ShowCharSym1 d :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowCharSym1 d) #
SingI d => SingI (ShowStringSym1 d :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowStringSym1 d) #
SIsString a => SingI (FromStringSym0 :: TyFun Symbol a -> Type) Source #
Instance details Defined in Data.String.Singletons Methods sing :: Sing FromStringSym0 #
SingI (ErrorSym0 :: TyFun Symbol a -> Type) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sing :: Sing ErrorSym0 #
SingI (ErrorWithoutStackTraceSym0 :: TyFun Symbol a -> Type) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sing :: Sing ErrorWithoutStackTraceSym0 #
SShow a => SingI (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowsSym0 #
SShow a => SingI (Show_Sym0 :: TyFun a Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing Show_Sym0 #
SingI (TypeErrorSym0 :: TyFun PErrorMessage a -> Type) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing TypeErrorSym0 #
SingI x => SingI (ConsSymbolSym1 x :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in GHC.TypeLits.Singletons Methods sing :: Sing (ConsSymbolSym1 x) #
SuppressUnusedWarnings (ShowParenSym1 a6989586621679965681 :: 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 (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ConsSymbolSym1 a6989586621679460905 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in GHC.TypeLits.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowCharSym1 a6989586621679965708 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowStringSym1 a6989586621679965697 :: 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 (ErrorSym0 :: TyFun Symbol a -> Type) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ErrorWithoutStackTraceSym0 :: TyFun Symbol a -> Type) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal 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) Source #
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) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing ((:$$:@#@$$) x) #
SingI x => SingI ((:<>:@#@$$) x :: TyFun (ErrorMessage' Symbol) (ErrorMessage' Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing ((:<>:@#@$$) x) #
SingI d => SingI (ShowListWithSym1 d :: TyFun [a] (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowListWithSym1 d) #
(SShow a, SingI d) => SingI (ShowListSym1 d :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowListSym1 d) #
(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) #
(SShow a, SingI d) => SingI (ShowsSym1 d :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowsSym1 d) #
(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) #
SingI (ShowTypeSym0 :: TyFun t (ErrorMessage' Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing ShowTypeSym0 #
SuppressUnusedWarnings (ShowListWithSym1 a6989586621679965716 :: TyFun [a] (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowListSym1 a6989586621679965751 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowParenSym2 a6989586621679965681 a6989586621679965682 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowsSym1 a6989586621679965734 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowsPrecSym1 a6989586621679965742 :: 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) Source #
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) Source #
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) Source #
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) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowsPrecSym2 d1 d2) #
SuppressUnusedWarnings (ShowListWithSym2 a6989586621679965716 a6989586621679965717 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowsPrecSym2 a6989586621679965742 a6989586621679965743 :: 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 Source #
Instance details Defined in Data.Singletons.Base.TypeError type Demote PErrorMessage = ErrorMessage
type Demote Symbol Source #
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 GHC.TypeLits.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 (arg :: Symbol) /= (arg1 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type (arg :: Symbol) /= (arg1 :: 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 (arg :: Symbol) < (arg1 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type (arg :: Symbol) < (arg1 :: Symbol)
type (arg :: Symbol) <= (arg1 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type (arg :: Symbol) <= (arg1 :: Symbol)
type (arg :: Symbol) > (arg1 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type (arg :: Symbol) > (arg1 :: Symbol)
type (arg :: Symbol) >= (arg1 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type (arg :: Symbol) >= (arg1 :: 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 (arg :: Symbol) (arg1 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Max (arg :: Symbol) (arg1 :: Symbol)
type Min (arg :: Symbol) (arg1 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Min (arg :: Symbol) (arg1 :: Symbol)
type (a :: Symbol) <> (b :: Symbol) Source #
Instance details Defined in GHC.TypeLits.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 (a6989586621679457771 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons type Apply KnownSymbolSym0 (a6989586621679457771 :: Symbol) = KnownSymbol a6989586621679457771
type Apply ShowCommaSpaceSym0 (a6989586621679965663 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply ShowCommaSpaceSym0 (a6989586621679965663 :: Symbol) = ShowCommaSpace a6989586621679965663
type Apply ShowSpaceSym0 (a6989586621679965669 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply ShowSpaceSym0 (a6989586621679965669 :: Symbol) = ShowSpace a6989586621679965669
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) (a6989586621679962195 :: PErrorMessage) Source #
Instance details Defined in Data.Singletons.Base.TypeError type Apply (TypeErrorSym0 :: TyFun PErrorMessage k2 -> Type) (a6989586621679962195 :: PErrorMessage) = TypeError a6989586621679962195 :: k2
type Apply (ConsSymbolSym1 a6989586621679460905 :: TyFun Symbol Symbol -> Type) (a6989586621679460906 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons type Apply (ConsSymbolSym1 a6989586621679460905 :: TyFun Symbol Symbol -> Type) (a6989586621679460906 :: Symbol) = ConsSymbol a6989586621679460905 a6989586621679460906
type Apply (ShowCharSym1 a6989586621679965708 :: TyFun Symbol Symbol -> Type) (a6989586621679965709 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowCharSym1 a6989586621679965708 :: TyFun Symbol Symbol -> Type) (a6989586621679965709 :: Symbol) = ShowChar a6989586621679965708 a6989586621679965709
type Apply (ShowStringSym1 a6989586621679965697 :: TyFun Symbol Symbol -> Type) (a6989586621679965698 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowStringSym1 a6989586621679965697 :: TyFun Symbol Symbol -> Type) (a6989586621679965698 :: Symbol) = ShowString a6989586621679965697 a6989586621679965698
type Apply (FromStringSym0 :: TyFun Symbol k2 -> Type) (a6989586621680669107 :: Symbol) Source #
Instance details Defined in Data.String.Singletons type Apply (FromStringSym0 :: TyFun Symbol k2 -> Type) (a6989586621680669107 :: Symbol) = FromString a6989586621680669107 :: k2
type Apply (ErrorSym0 :: TyFun Symbol k2 -> Type) (a6989586621679450964 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Apply (ErrorSym0 :: TyFun Symbol k2 -> Type) (a6989586621679450964 :: Symbol) = Error a6989586621679450964 :: k2
type Apply (ErrorWithoutStackTraceSym0 :: TyFun Symbol k2 -> Type) (a6989586621679451222 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Apply (ErrorWithoutStackTraceSym0 :: TyFun Symbol k2 -> Type) (a6989586621679451222 :: Symbol) = ErrorWithoutStackTrace a6989586621679451222 :: k2
type Apply (Show_Sym0 :: TyFun a Symbol -> Type) (a6989586621679965747 :: a) Source #
Instance details Defined in Text.Show.Singletons type Apply (Show_Sym0 :: TyFun a Symbol -> Type) (a6989586621679965747 :: a) = Show_ a6989586621679965747
type Apply (ShowListSym1 a6989586621679965751 :: TyFun Symbol Symbol -> Type) (a6989586621679965752 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowListSym1 a6989586621679965751 :: TyFun Symbol Symbol -> Type) (a6989586621679965752 :: Symbol) = ShowList a6989586621679965751 a6989586621679965752
type Apply (ShowParenSym2 a6989586621679965681 a6989586621679965682 :: TyFun Symbol Symbol -> Type) (a6989586621679965683 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowParenSym2 a6989586621679965681 a6989586621679965682 :: TyFun Symbol Symbol -> Type) (a6989586621679965683 :: Symbol) = ShowParen a6989586621679965681 a6989586621679965682 a6989586621679965683
type Apply (ShowsSym1 a6989586621679965734 :: TyFun Symbol Symbol -> Type) (a6989586621679965735 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsSym1 a6989586621679965734 :: TyFun Symbol Symbol -> Type) (a6989586621679965735 :: Symbol) = Shows a6989586621679965734 a6989586621679965735
type Apply (ShowListWithSym2 a6989586621679965716 a6989586621679965717 :: TyFun Symbol Symbol -> Type) (a6989586621679965718 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowListWithSym2 a6989586621679965716 a6989586621679965717 :: TyFun Symbol Symbol -> Type) (a6989586621679965718 :: Symbol) = ShowListWith a6989586621679965716 a6989586621679965717 a6989586621679965718
type Apply (ShowsPrecSym2 a6989586621679965742 a6989586621679965743 :: TyFun Symbol Symbol -> Type) (a6989586621679965744 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsPrecSym2 a6989586621679965742 a6989586621679965743 :: TyFun Symbol Symbol -> Type) (a6989586621679965744 :: Symbol) = ShowsPrec a6989586621679965742 a6989586621679965743 a6989586621679965744
type Apply UnconsSymbolSym0 (a6989586621679461421 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons type Apply UnconsSymbolSym0 (a6989586621679461421 :: Symbol) = UnconsSymbol a6989586621679461421
type Apply ShowParenSym0 (a6989586621679965681 :: Bool) Source #
Instance details Defined in Text.Show.Singletons type Apply ShowParenSym0 (a6989586621679965681 :: Bool) = ShowParenSym1 a6989586621679965681
type Apply ConsSymbolSym0 (a6989586621679460905 :: Char) Source #
Instance details Defined in GHC.TypeLits.Singletons type Apply ConsSymbolSym0 (a6989586621679460905 :: Char) = ConsSymbolSym1 a6989586621679460905
type Apply ShowCharSym0 (a6989586621679965708 :: Char) Source #
Instance details Defined in Text.Show.Singletons type Apply ShowCharSym0 (a6989586621679965708 :: Char) = ShowCharSym1 a6989586621679965708
type Apply ShowStringSym0 (a6989586621679965697 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply ShowStringSym0 (a6989586621679965697 :: Symbol) = ShowStringSym1 a6989586621679965697
type Apply (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type) (a6989586621679965742 :: Natural) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type) (a6989586621679965742 :: Natural) = ShowsPrecSym1 a6989586621679965742 :: TyFun a (Symbol ~> Symbol) -> Type
type Apply (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621679965734 :: a) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621679965734 :: a) = ShowsSym1 a6989586621679965734
type Apply (ShowsPrecSym1 a6989586621679965742 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621679965743 :: a) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsPrecSym1 a6989586621679965742 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621679965743 :: a) = ShowsPrecSym2 a6989586621679965742 a6989586621679965743
type Apply UnlinesSym0 (a6989586621679653675 :: [Symbol]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply UnlinesSym0 (a6989586621679653675 :: [Symbol]) = Unlines a6989586621679653675
type Apply UnwordsSym0 (a6989586621679653665 :: [Symbol]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply UnwordsSym0 (a6989586621679653665 :: [Symbol]) = Unwords a6989586621679653665
type Apply (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621679965751 :: [a]) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621679965751 :: [a]) = ShowListSym1 a6989586621679965751
type Apply (ShowListWithSym1 a6989586621679965716 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621679965717 :: [a]) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowListWithSym1 a6989586621679965716 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621679965717 :: [a]) = ShowListWithSym2 a6989586621679965716 a6989586621679965717
type Apply (ShowParenSym1 a6989586621679965681 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) (a6989586621679965682 :: Symbol ~> Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowParenSym1 a6989586621679965681 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) (a6989586621679965682 :: Symbol ~> Symbol) = ShowParenSym2 a6989586621679965681 a6989586621679965682
type Apply (ShowListWithSym0 :: TyFun (a ~> (Symbol ~> Symbol)) ([a] ~> (Symbol ~> Symbol)) -> Type) (a6989586621679965716 :: a ~> (Symbol ~> Symbol)) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowListWithSym0 :: TyFun (a ~> (Symbol ~> Symbol)) ([a] ~> (Symbol ~> Symbol)) -> Type) (a6989586621679965716 :: a ~> (Symbol ~> Symbol)) = ShowListWithSym1 a6989586621679965716

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

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

Equations

Snd '(_, y) = y

sSnd :: forall (t :: (a, b)). Sing t -> Sing (Apply SndSym0 t :: b) :: Type 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 (t :: (~>) (a, b) c) (t :: a) (t :: b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply CurrySym0 t) t) t :: c) :: Type 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 (t :: (~>) a ((~>) b c)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply UncurrySym0 t) t :: c) :: Type 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_6989586621679109603Sym0 a) a

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

type a /= a = Apply (Apply TFHelper_6989586621679109592Sym0 a) a

Instances

Instances details

PEq All Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq Any Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq Void Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq Ordering Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq Natural Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq () Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq Bool Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq Char Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (Identity a) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (First a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (Last a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (Down a) Source #
Instance details Defined in Data.Ord.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (First a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (NonEmpty a) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (Maybe a) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (TYPE rep) Source #
Instance details Defined in Data.Singletons.Base.TypeRepTYPE Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq [a] Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (Either a b) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (Arg a b) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (a, b) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (a, b, c) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (a, b, c, d) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (a, b, c, d, e) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (a, b, c, d, e, f) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
PEq (a, b, c, d, e, f, g) Source #
Instance details Defined in Data.Eq.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: 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) :: Type infix 4 Source #

default (%==) :: forall (t :: a) (t :: a). (Apply (Apply (==@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679109603Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t :: Bool) :: Type Source #

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

default (%/=) :: forall (t :: a) (t :: a). (Apply (Apply (/=@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679109592Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t :: Bool) :: Type Source #

Instances

Instances details

SEq Bool => SEq All Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods (%==) :: forall (t1 :: All) (t2 :: All). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: All) (t2 :: All). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq Bool => SEq Any Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods (%==) :: forall (t1 :: Any) (t2 :: Any). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Any) (t2 :: Any). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq Void Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t1 :: Void) (t2 :: Void). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Void) (t2 :: Void). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq Ordering Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t1 :: Ordering) (t2 :: Ordering). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Ordering) (t2 :: Ordering). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq Natural Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods (%==) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq () Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t1 :: ()) (t2 :: ()). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: ()) (t2 :: ()). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq Bool Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t1 :: Bool) (t2 :: Bool). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Bool) (t2 :: Bool). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq Char Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods (%==) :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods (%==) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq a => SEq (Identity a) Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq (Maybe a) => SEq (First a) Source #
Instance details Defined in Data.Monoid.Singletons Methods (%==) :: forall (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq (Maybe a) => SEq (Last a) Source #
Instance details Defined in Data.Monoid.Singletons Methods (%==) :: forall (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq a => SEq (Down a) Source #
Instance details Defined in Data.Ord.Singletons Methods (%==) :: forall (t1 :: Down a) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Down a) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq a => SEq (First a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods (%==) :: forall (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq a => SEq (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods (%==) :: forall (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq a => SEq (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods (%==) :: forall (t1 :: Max a) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Max a) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq a => SEq (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods (%==) :: forall (t1 :: Min a) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Min a) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq m => SEq (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods (%==) :: forall (t1 :: WrappedMonoid m) (t2 :: WrappedMonoid m). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: WrappedMonoid m) (t2 :: WrappedMonoid m). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq a => SEq (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods (%==) :: forall (t1 :: Dual a) (t2 :: Dual a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Dual a) (t2 :: Dual a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq a => SEq (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods (%==) :: forall (t1 :: Product a) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Product a) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq a => SEq (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods (%==) :: forall (t1 :: Sum a) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Sum a) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
(SEq a, SEq [a]) => SEq (NonEmpty a) Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t1 :: NonEmpty a) (t2 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: NonEmpty a) (t2 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq a => SEq (Maybe a) Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t1 :: Maybe a) (t2 :: Maybe a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Maybe a) (t2 :: Maybe a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq (TYPE rep) Source #
Instance details Defined in Data.Singletons.Base.TypeRepTYPE Methods (%==) :: forall (t1 :: TYPE rep) (t2 :: TYPE rep). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: TYPE rep) (t2 :: TYPE rep). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
(SEq a, SEq [a]) => SEq [a] Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t1 :: [a]) (t2 :: [a]). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: [a]) (t2 :: [a]). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
(SEq a, SEq b) => SEq (Either a b) Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t1 :: Either a b) (t2 :: Either a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Either a b) (t2 :: Either a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Methods (%==) :: forall (t1 :: Proxy s) (t2 :: Proxy s). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Proxy s) (t2 :: Proxy s). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq a => SEq (Arg a b) Source #
Instance details Defined in Data.Semigroup.Singletons Methods (%==) :: forall (t1 :: Arg a b) (t2 :: Arg a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Arg a b) (t2 :: Arg a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
(SEq a, SEq b) => SEq (a, b) Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t1 :: (a, b)) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: (a, b)) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
SEq a => SEq (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods (%==) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
(SEq a, SEq b, SEq c) => SEq (a, b, c) Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t1 :: (a, b, c)) (t2 :: (a, b, c)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: (a, b, c)) (t2 :: (a, b, c)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
(SEq a, SEq b, SEq c, SEq d) => SEq (a, b, c, d) Source #
Instance details Defined in Data.Eq.Singletons Methods (%==) :: forall (t1 :: (a, b, c, d)) (t2 :: (a, b, c, d)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: (a, b, c, d)) (t2 :: (a, b, c, d)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) 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 (t1 :: (a, b, c, d, e)) (t2 :: (a, b, c, d, e)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: (a, b, c, d, e)) (t2 :: (a, b, c, d, e)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) 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 (t1 :: (a, b, c, d, e, f)) (t2 :: (a, b, c, d, e, f)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: (a, b, c, d, e, f)) (t2 :: (a, b, c, d, e, f)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) 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 (t1 :: (a, b, c, d, e, f, g)) (t2 :: (a, b, c, d, e, f, g)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: (a, b, c, d, e, f, g)) (t2 :: (a, b, c, d, e, f, g)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #

class POrd a Source #

Associated Types

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

type Compare a a = Apply (Apply Compare_6989586621679190403Sym0 a) a

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

type a < a = Apply (Apply TFHelper_6989586621679190424Sym0 a) a

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

type a <= a = Apply (Apply TFHelper_6989586621679190440Sym0 a) a

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

type a > a = Apply (Apply TFHelper_6989586621679190456Sym0 a) a

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

type a >= a = Apply (Apply TFHelper_6989586621679190472Sym0 a) a

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

type Max a a = Apply (Apply Max_6989586621679190488Sym0 a) a

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

type Min a a = Apply (Apply Min_6989586621679190504Sym0 a) a

Instances

Instances details

POrd All Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd Any Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd Void Source #
Instance details Defined in Data.Ord.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd Ordering Source #
Instance details Defined in Data.Ord.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd Natural Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd () Source #
Instance details Defined in Data.Ord.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd Bool Source #
Instance details Defined in Data.Ord.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd Char Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (Identity a) Source #
Instance details Defined in Data.Ord.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (First a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (Last a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (Down a) Source #
Instance details Defined in Data.Ord.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (First a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (NonEmpty a) Source #
Instance details Defined in Data.Ord.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (Maybe a) Source #
Instance details Defined in Data.Ord.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd [a] Source #
Instance details Defined in Data.Ord.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (Either a b) Source #
Instance details Defined in Data.Ord.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (Arg a b) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (a, b) Source #
Instance details Defined in Data.Ord.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (a, b, c) Source #
Instance details Defined in Data.Ord.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (a, b, c, d) Source #
Instance details Defined in Data.Ord.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (a, b, c, d, e) Source #
Instance details Defined in Data.Ord.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (a, b, c, d, e, f) Source #
Instance details Defined in Data.Ord.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
POrd (a, b, c, d, e, f, g) Source #
Instance details Defined in Data.Ord.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: 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) :: Type Source #

default sCompare :: forall (t :: a) (t :: a). (Apply (Apply CompareSym0 t) t :: Ordering) ~ Apply (Apply Compare_6989586621679190403Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t :: Ordering) :: Type Source #

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

default (%<) :: forall (t :: a) (t :: a). (Apply (Apply (<@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679190424Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t :: Bool) :: Type Source #

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

default (%<=) :: forall (t :: a) (t :: a). (Apply (Apply (<=@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679190440Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t :: Bool) :: Type Source #

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

default (%>) :: forall (t :: a) (t :: a). (Apply (Apply (>@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679190456Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t :: Bool) :: Type Source #

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

default (%>=) :: forall (t :: a) (t :: a). (Apply (Apply (>=@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679190472Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t :: Bool) :: Type Source #

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

default sMax :: forall (t :: a) (t :: a). (Apply (Apply MaxSym0 t) t :: a) ~ Apply (Apply Max_6989586621679190488Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t :: a) :: Type Source #

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

default sMin :: forall (t :: a) (t :: a). (Apply (Apply MinSym0 t) t :: a) ~ Apply (Apply Min_6989586621679190504Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t :: a) :: Type Source #

Instances

Instances details

SOrd Bool => SOrd All Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sCompare :: forall (t1 :: All) (t2 :: All). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: All) (t2 :: All). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: All) (t2 :: All). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: All) (t2 :: All). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: All) (t2 :: All). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: All) (t2 :: All). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: All) (t2 :: All). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd Bool => SOrd Any Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sCompare :: forall (t1 :: Any) (t2 :: Any). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Any) (t2 :: Any). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Any) (t2 :: Any). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Any) (t2 :: Any). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Any) (t2 :: Any). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Any) (t2 :: Any). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Any) (t2 :: Any). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd Void Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t1 :: Void) (t2 :: Void). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Void) (t2 :: Void). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Void) (t2 :: Void). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Void) (t2 :: Void). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Void) (t2 :: Void). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Void) (t2 :: Void). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Void) (t2 :: Void). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd Ordering Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t1 :: Ordering) (t2 :: Ordering). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Ordering) (t2 :: Ordering). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Ordering) (t2 :: Ordering). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Ordering) (t2 :: Ordering). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Ordering) (t2 :: Ordering). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Ordering) (t2 :: Ordering). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Ordering) (t2 :: Ordering). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd Natural Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sCompare :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd () Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t1 :: ()) (t2 :: ()). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: ()) (t2 :: ()). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: ()) (t2 :: ()). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: ()) (t2 :: ()). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: ()) (t2 :: ()). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: ()) (t2 :: ()). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: ()) (t2 :: ()). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd Bool Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t1 :: Bool) (t2 :: Bool). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Bool) (t2 :: Bool). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Bool) (t2 :: Bool). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Bool) (t2 :: Bool). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Bool) (t2 :: Bool). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Bool) (t2 :: Bool). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Bool) (t2 :: Bool). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd Char Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sCompare :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sCompare :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd a => SOrd (Identity a) Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd (Maybe a) => SOrd (First a) Source #
Instance details Defined in Data.Monoid.Singletons Methods sCompare :: forall (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd (Maybe a) => SOrd (Last a) Source #
Instance details Defined in Data.Monoid.Singletons Methods sCompare :: forall (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd a => SOrd (Down a) Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t1 :: Down a) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Down a) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Down a) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Down a) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Down a) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Down a) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Down a) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd a => SOrd (First a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sCompare :: forall (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd a => SOrd (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sCompare :: forall (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd a => SOrd (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sCompare :: forall (t1 :: Max a) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Max a) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Max a) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Max a) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Max a) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Max a) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Max a) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd a => SOrd (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sCompare :: forall (t1 :: Min a) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Min a) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Min a) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Min a) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Min a) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Min a) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Min a) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd m => SOrd (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sCompare :: forall (t1 :: WrappedMonoid m) (t2 :: WrappedMonoid m). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: WrappedMonoid m) (t2 :: WrappedMonoid m). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: WrappedMonoid m) (t2 :: WrappedMonoid m). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: WrappedMonoid m) (t2 :: WrappedMonoid m). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: WrappedMonoid m) (t2 :: WrappedMonoid m). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: WrappedMonoid m) (t2 :: WrappedMonoid m). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: WrappedMonoid m) (t2 :: WrappedMonoid m). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd a => SOrd (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sCompare :: forall (t1 :: Dual a) (t2 :: Dual a). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Dual a) (t2 :: Dual a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Dual a) (t2 :: Dual a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Dual a) (t2 :: Dual a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Dual a) (t2 :: Dual a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Dual a) (t2 :: Dual a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Dual a) (t2 :: Dual a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd a => SOrd (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sCompare :: forall (t1 :: Product a) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Product a) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Product a) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Product a) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Product a) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Product a) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Product a) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd a => SOrd (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sCompare :: forall (t1 :: Sum a) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Sum a) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Sum a) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Sum a) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Sum a) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Sum a) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Sum a) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
(SOrd a, SOrd [a]) => SOrd (NonEmpty a) Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t1 :: NonEmpty a) (t2 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: NonEmpty a) (t2 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: NonEmpty a) (t2 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: NonEmpty a) (t2 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: NonEmpty a) (t2 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: NonEmpty a) (t2 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: NonEmpty a) (t2 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd a => SOrd (Maybe a) Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t1 :: Maybe a) (t2 :: Maybe a). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Maybe a) (t2 :: Maybe a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Maybe a) (t2 :: Maybe a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Maybe a) (t2 :: Maybe a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Maybe a) (t2 :: Maybe a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Maybe a) (t2 :: Maybe a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Maybe a) (t2 :: Maybe a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
(SOrd a, SOrd [a]) => SOrd [a] Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t1 :: [a]) (t2 :: [a]). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: [a]) (t2 :: [a]). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: [a]) (t2 :: [a]). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: [a]) (t2 :: [a]). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: [a]) (t2 :: [a]). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: [a]) (t2 :: [a]). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: [a]) (t2 :: [a]). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
(SOrd a, SOrd b) => SOrd (Either a b) Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t1 :: Either a b) (t2 :: Either a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Either a b) (t2 :: Either a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Either a b) (t2 :: Either a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Either a b) (t2 :: Either a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Either a b) (t2 :: Either a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Either a b) (t2 :: Either a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Either a b) (t2 :: Either a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Methods sCompare :: forall (t1 :: Proxy s) (t2 :: Proxy s). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Proxy s) (t2 :: Proxy s). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Proxy s) (t2 :: Proxy s). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Proxy s) (t2 :: Proxy s). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Proxy s) (t2 :: Proxy s). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Proxy s) (t2 :: Proxy s). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Proxy s) (t2 :: Proxy s). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd a => SOrd (Arg a b) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sCompare :: forall (t1 :: Arg a b) (t2 :: Arg a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Arg a b) (t2 :: Arg a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Arg a b) (t2 :: Arg a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Arg a b) (t2 :: Arg a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Arg a b) (t2 :: Arg a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Arg a b) (t2 :: Arg a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Arg a b) (t2 :: Arg a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
(SOrd a, SOrd b) => SOrd (a, b) Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t1 :: (a, b)) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: (a, b)) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: (a, b)) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: (a, b)) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: (a, b)) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: (a, b)) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: (a, b)) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
SOrd a => SOrd (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sCompare :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
(SOrd a, SOrd b, SOrd c) => SOrd (a, b, c) Source #
Instance details Defined in Data.Ord.Singletons Methods sCompare :: forall (t1 :: (a, b, c)) (t2 :: (a, b, c)). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: (a, b, c)) (t2 :: (a, b, c)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: (a, b, c)) (t2 :: (a, b, c)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: (a, b, c)) (t2 :: (a, b, c)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: (a, b, c)) (t2 :: (a, b, c)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: (a, b, c)) (t2 :: (a, b, c)). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: (a, b, c)) (t2 :: (a, b, c)). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) 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 (t1 :: (a, b, c, d)) (t2 :: (a, b, c, d)). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: (a, b, c, d)) (t2 :: (a, b, c, d)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: (a, b, c, d)) (t2 :: (a, b, c, d)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: (a, b, c, d)) (t2 :: (a, b, c, d)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: (a, b, c, d)) (t2 :: (a, b, c, d)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: (a, b, c, d)) (t2 :: (a, b, c, d)). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: (a, b, c, d)) (t2 :: (a, b, c, d)). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) 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 (t1 :: (a, b, c, d, e)) (t2 :: (a, b, c, d, e)). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: (a, b, c, d, e)) (t2 :: (a, b, c, d, e)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: (a, b, c, d, e)) (t2 :: (a, b, c, d, e)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: (a, b, c, d, e)) (t2 :: (a, b, c, d, e)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: (a, b, c, d, e)) (t2 :: (a, b, c, d, e)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: (a, b, c, d, e)) (t2 :: (a, b, c, d, e)). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: (a, b, c, d, e)) (t2 :: (a, b, c, d, e)). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) 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 (t1 :: (a, b, c, d, e, f)) (t2 :: (a, b, c, d, e, f)). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: (a, b, c, d, e, f)) (t2 :: (a, b, c, d, e, f)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: (a, b, c, d, e, f)) (t2 :: (a, b, c, d, e, f)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: (a, b, c, d, e, f)) (t2 :: (a, b, c, d, e, f)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: (a, b, c, d, e, f)) (t2 :: (a, b, c, d, e, f)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: (a, b, c, d, e, f)) (t2 :: (a, b, c, d, e, f)). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: (a, b, c, d, e, f)) (t2 :: (a, b, c, d, e, f)). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) 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 (t1 :: (a, b, c, d, e, f, g)) (t2 :: (a, b, c, d, e, f, g)). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: (a, b, c, d, e, f, g)) (t2 :: (a, b, c, d, e, f, g)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: (a, b, c, d, e, f, g)) (t2 :: (a, b, c, d, e, f, g)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: (a, b, c, d, e, f, g)) (t2 :: (a, b, c, d, e, f, g)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: (a, b, c, d, e, f, g)) (t2 :: (a, b, c, d, e, f, g)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: (a, b, c, d, e, f, g)) (t2 :: (a, b, c, d, e, f, g)). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: (a, b, c, d, e, f, g)) (t2 :: (a, b, c, d, e, f, g)). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) 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_6989586621679496158Sym0 a) a

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

type EnumFromThenTo a a a = Apply (Apply (Apply EnumFromThenTo_6989586621679496170Sym0 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 arg1 :: [a] Source # type EnumFromThenTo arg arg1 arg2 :: [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 arg1 :: [a] Source # type EnumFromThenTo arg arg1 arg2 :: [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 arg1 :: [a] Source # type EnumFromThenTo arg arg1 arg2 :: [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 arg1 :: [a] Source # type EnumFromThenTo arg arg1 arg2 :: [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 arg1 :: [a] Source # type EnumFromThenTo arg arg1 arg2 :: [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 arg1 :: [a] Source # type EnumFromThenTo arg arg1 arg2 :: [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 arg1 :: [a] Source # type EnumFromThenTo arg arg1 arg2 :: [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 arg1 :: [a] Source # type EnumFromThenTo arg arg1 arg2 :: [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 arg1 :: [a] Source # type EnumFromThenTo arg arg1 arg2 :: [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 arg1 :: [a] Source # type EnumFromThenTo arg arg1 arg2 :: [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 arg1 :: [a] Source # type EnumFromThenTo arg arg1 arg2 :: [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 arg1 :: [a] Source # type EnumFromThenTo arg arg1 arg2 :: [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 arg1 :: [a] Source # type EnumFromThenTo arg arg1 arg2 :: [a] Source #

class SEnum a where Source #

Minimal complete definition

sToEnum, sFromEnum

Methods

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

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

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

default sEnumFromTo :: forall (t :: a) (t :: a). (Apply (Apply EnumFromToSym0 t) t :: [a]) ~ Apply (Apply EnumFromTo_6989586621679496158Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t :: [a]) :: Type Source #

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

default sEnumFromThenTo :: forall (t :: a) (t :: a) (t :: a). (Apply (Apply (Apply EnumFromThenToSym0 t) t) t :: [a]) ~ Apply (Apply (Apply EnumFromThenTo_6989586621679496170Sym0 t) t) t => Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t :: [a]) :: Type 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 (t1 :: Ordering) (t2 :: Ordering). Sing t1 -> Sing t2 -> Sing (Apply (Apply EnumFromToSym0 t1) t2) Source # sEnumFromThenTo :: forall (t1 :: Ordering) (t2 :: Ordering) (t3 :: Ordering). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t1) t2) t3) 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 (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply EnumFromToSym0 t1) t2) Source # sEnumFromThenTo :: forall (t1 :: Natural) (t2 :: Natural) (t3 :: Natural). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t1) t2) t3) 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 (t1 :: ()) (t2 :: ()). Sing t1 -> Sing t2 -> Sing (Apply (Apply EnumFromToSym0 t1) t2) Source # sEnumFromThenTo :: forall (t1 :: ()) (t2 :: ()) (t3 :: ()). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t1) t2) t3) 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 (t1 :: Bool) (t2 :: Bool). Sing t1 -> Sing t2 -> Sing (Apply (Apply EnumFromToSym0 t1) t2) Source # sEnumFromThenTo :: forall (t1 :: Bool) (t2 :: Bool) (t3 :: Bool). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t1) t2) t3) 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 (t1 :: Char) (t2 :: Char). Sing t1 -> Sing t2 -> Sing (Apply (Apply EnumFromToSym0 t1) t2) Source # sEnumFromThenTo :: forall (t1 :: Char) (t2 :: Char) (t3 :: Char). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t1) t2) t3) 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 (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply EnumFromToSym0 t1) t2) Source # sEnumFromThenTo :: forall (t1 :: Identity a) (t2 :: Identity a) (t3 :: Identity a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t1) t2) t3) 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 (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply EnumFromToSym0 t1) t2) Source # sEnumFromThenTo :: forall (t1 :: First a) (t2 :: First a) (t3 :: First a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t1) t2) t3) 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 (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply EnumFromToSym0 t1) t2) Source # sEnumFromThenTo :: forall (t1 :: Last a) (t2 :: Last a) (t3 :: Last a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t1) t2) t3) 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 (t1 :: Max a) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply EnumFromToSym0 t1) t2) Source # sEnumFromThenTo :: forall (t1 :: Max a) (t2 :: Max a) (t3 :: Max a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t1) t2) t3) 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 (t1 :: Min a) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply EnumFromToSym0 t1) t2) Source # sEnumFromThenTo :: forall (t1 :: Min a) (t2 :: Min a) (t3 :: Min a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t1) t2) t3) 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 (t1 :: WrappedMonoid a) (t2 :: WrappedMonoid a). Sing t1 -> Sing t2 -> Sing (Apply (Apply EnumFromToSym0 t1) t2) Source # sEnumFromThenTo :: forall (t1 :: WrappedMonoid a) (t2 :: WrappedMonoid a) (t3 :: WrappedMonoid a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t1) t2) t3) 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 (t1 :: Proxy s) (t2 :: Proxy s). Sing t1 -> Sing t2 -> Sing (Apply (Apply EnumFromToSym0 t1) t2) Source # sEnumFromThenTo :: forall (t1 :: Proxy s) (t2 :: Proxy s) (t3 :: Proxy s). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t1) t2) t3) 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 (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply EnumFromToSym0 t1) t2) Source # sEnumFromThenTo :: forall (t1 :: Const a b) (t2 :: Const a b) (t3 :: Const a b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t1) t2) t3) 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.Wrappers Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded Any Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers 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.Wrappers Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PBounded (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers 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) :: Type Source #

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

Instances

Instances details

SBounded Bool => SBounded All Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded Bool => SBounded Any Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers 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.Wrappers Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded m => SBounded (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers 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_6989586621679477106Sym0 a) a

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

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

type Negate a = Apply Negate_6989586621679477116Sym0 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 + arg1 :: a Source # type arg - arg1 :: a Source # type arg * arg1 :: 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 + arg1 :: a Source # type arg - arg1 :: a Source # type arg * arg1 :: 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 + arg1 :: a Source # type arg - arg1 :: a Source # type arg * arg1 :: 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 + arg1 :: a Source # type arg - arg1 :: a Source # type arg * arg1 :: 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 + arg1 :: a Source # type arg - arg1 :: a Source # type arg * arg1 :: 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.Wrappers Associated Types type arg + arg1 :: a Source # type arg - arg1 :: a Source # type arg * arg1 :: 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.Wrappers Associated Types type arg + arg1 :: a Source # type arg - arg1 :: a Source # type arg * arg1 :: 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 + arg1 :: a Source # type arg - arg1 :: a Source # type arg * arg1 :: 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) :: Type infixl 6 Source #

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

default (%-) :: forall (t :: a) (t :: a). (Apply (Apply (-@#@$) t) t :: a) ~ Apply (Apply TFHelper_6989586621679477106Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (-@#@$) t) t :: a) :: Type Source #

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

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

default sNegate :: forall (t :: a). (Apply NegateSym0 t :: a) ~ Apply Negate_6989586621679477116Sym0 t => Sing t -> Sing (Apply NegateSym0 t :: a) :: Type Source #

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

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

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

Instances

Instances details

SNum Natural Source #
Instance details Defined in GHC.Num.Singletons Methods (%+) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply (+@#@$) t1) t2) Source # (%-) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply (-@#@$) t1) t2) Source # (%) :: forall (t1 :: Natural) (t2 :: Natural). Sing t1 -> Sing t2 -> Sing (Apply (Apply (@#@$) t1) t2) Source # sNegate :: forall (t :: Natural). Sing t -> Sing (Apply NegateSym0 t) Source # sAbs :: forall (t :: Natural). Sing t -> Sing (Apply AbsSym0 t) Source # sSignum :: forall (t :: Natural). Sing t -> Sing (Apply SignumSym0 t) Source # sFromInteger :: forall (t :: Natural). Sing t -> Sing (Apply FromIntegerSym0 t) Source #
SNum a => SNum (Identity a) Source #
Instance details Defined in Data.Functor.Identity.Singletons Methods (%+) :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (+@#@$) t1) t2) Source # (%-) :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (-@#@$) t1) t2) Source # (%) :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (@#@$) t1) t2) 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 (t1 :: Down a) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (+@#@$) t1) t2) Source # (%-) :: forall (t1 :: Down a) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (-@#@$) t1) t2) Source # (%) :: forall (t1 :: Down a) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (@#@$) t1) t2) Source # sNegate :: forall (t :: Down a). Sing t -> Sing (Apply NegateSym0 t) Source # sAbs :: forall (t :: Down a). Sing t -> Sing (Apply AbsSym0 t) Source # sSignum :: forall (t :: Down a). Sing t -> Sing (Apply SignumSym0 t) Source # sFromInteger :: forall (t :: Natural). Sing t -> Sing (Apply FromIntegerSym0 t) Source #
SNum a => SNum (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods (%+) :: forall (t1 :: Max a) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (+@#@$) t1) t2) Source # (%-) :: forall (t1 :: Max a) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (-@#@$) t1) t2) Source # (%) :: forall (t1 :: Max a) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (@#@$) t1) t2) 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 (t1 :: Min a) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (+@#@$) t1) t2) Source # (%-) :: forall (t1 :: Min a) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (-@#@$) t1) t2) Source # (%) :: forall (t1 :: Min a) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (@#@$) t1) t2) Source # sNegate :: forall (t :: Min a). Sing t -> Sing (Apply NegateSym0 t) Source # sAbs :: forall (t :: Min a). Sing t -> Sing (Apply AbsSym0 t) Source # sSignum :: forall (t :: Min a). Sing t -> Sing (Apply SignumSym0 t) Source # sFromInteger :: forall (t :: Natural). Sing t -> Sing (Apply FromIntegerSym0 t) Source #
SNum a => SNum (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods (%+) :: forall (t1 :: Product a) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (+@#@$) t1) t2) Source # (%-) :: forall (t1 :: Product a) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (-@#@$) t1) t2) Source # (%) :: forall (t1 :: Product a) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (@#@$) t1) t2) 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.Wrappers Methods (%+) :: forall (t1 :: Sum a) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (+@#@$) t1) t2) Source # (%-) :: forall (t1 :: Sum a) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (-@#@$) t1) t2) Source # (%) :: forall (t1 :: Sum a) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (@#@$) t1) t2) Source # sNegate :: forall (t :: Sum a). Sing t -> Sing (Apply NegateSym0 t) Source # sAbs :: forall (t :: Sum a). Sing t -> Sing (Apply AbsSym0 t) Source # sSignum :: forall (t :: Sum a). Sing t -> Sing (Apply SignumSym0 t) Source # sFromInteger :: forall (t :: Natural). Sing t -> Sing (Apply FromIntegerSym0 t) Source #
SNum a => SNum (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods (%+) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (+@#@$) t1) t2) Source # (%-) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (-@#@$) t1) t2) Source # (%) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (@#@$) t1) t2) 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 (t :: a) (t :: a). SNum a => Sing t -> Sing t -> Sing (Apply (Apply SubtractSym0 t) t :: a) :: Type 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.Wrappers Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup Any Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup Void Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup Ordering Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup () Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (Identity a) Source #
Instance details Defined in Data.Functor.Identity.Singletons Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (First a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (Last a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (Down a) Source #
Instance details Defined in Data.Ord.Singletons Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (First a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (NonEmpty a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (Maybe a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup [a] Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (Either a b) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (a ~> b) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (a, b) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (a, b, c) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (a, b, c, d) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
PSemigroup (a, b, c, d, e) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Associated Types type arg <> arg1 :: 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) :: Type infixr 6 Source #

Instances

Instances details

SSemigroup All Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods (%<>) :: forall (t1 :: All) (t2 :: All). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sSconcat :: forall (t :: NonEmpty All). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup Any Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods (%<>) :: forall (t1 :: Any) (t2 :: Any). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sSconcat :: forall (t :: NonEmpty Any). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup Void Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Methods (%<>) :: forall (t1 :: Void) (t2 :: Void). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sSconcat :: forall (t :: NonEmpty Void). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup Ordering Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Methods (%<>) :: forall (t1 :: Ordering) (t2 :: Ordering). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sSconcat :: forall (t :: NonEmpty Ordering). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup () Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Methods (%<>) :: forall (t1 :: ()) (t2 :: ()). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sSconcat :: forall (t :: NonEmpty ()). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods (%<>) :: forall (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) 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 (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sSconcat :: forall (t :: NonEmpty (Identity a)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup (First a) Source #
Instance details Defined in Data.Monoid.Singletons Methods (%<>) :: forall (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) 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 (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sSconcat :: forall (t :: NonEmpty (Last a)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup a => SSemigroup (Down a) Source #
Instance details Defined in Data.Ord.Singletons Methods (%<>) :: forall (t1 :: Down a) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) 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 (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sSconcat :: forall (t :: NonEmpty (First a)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods (%<>) :: forall (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) 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 (t1 :: Max a) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sSconcat :: forall (t :: NonEmpty (Max a)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SOrd a => SSemigroup (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods (%<>) :: forall (t1 :: Min a) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) 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 (t1 :: WrappedMonoid m) (t2 :: WrappedMonoid m). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sSconcat :: forall (t :: NonEmpty (WrappedMonoid m)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup a => SSemigroup (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods (%<>) :: forall (t1 :: Dual a) (t2 :: Dual a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) 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.Wrappers Methods (%<>) :: forall (t1 :: Product a) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sSconcat :: forall (t :: NonEmpty (Product a)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SNum a => SSemigroup (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods (%<>) :: forall (t1 :: Sum a) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) 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.Classes Methods (%<>) :: forall (t1 :: NonEmpty a) (t2 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sSconcat :: forall (t :: NonEmpty (NonEmpty a)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup a => SSemigroup (Maybe a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Methods (%<>) :: forall (t1 :: Maybe a) (t2 :: Maybe a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) 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.Classes Methods (%<>) :: forall (t1 :: [a]) (t2 :: [a]). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sSconcat :: forall (t :: NonEmpty [a]). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup (Either a b) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Methods (%<>) :: forall (t1 :: Either a b) (t2 :: Either a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) 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 (t1 :: Proxy s) (t2 :: Proxy s). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sSconcat :: forall (t :: NonEmpty (Proxy s)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup b => SSemigroup (a ~> b) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Methods (%<>) :: forall (t1 :: a ~> b) (t2 :: a ~> b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) 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.Classes Methods (%<>) :: forall (t1 :: (a, b)) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sSconcat :: forall (t :: NonEmpty (a, b)). Sing t -> Sing (Apply SconcatSym0 t) Source #
SSemigroup a => SSemigroup (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods (%<>) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) 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.Classes Methods (%<>) :: forall (t1 :: (a, b, c)) (t2 :: (a, b, c)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sSconcat :: forall (t :: NonEmpty (a, b, c)). Sing t -> Sing (Apply SconcatSym0 t) Source #
(SSemigroup a, SSemigroup b, SSemigroup c, SSemigroup d) => SSemigroup (a, b, c, d) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Methods (%<>) :: forall (t1 :: (a, b, c, d)) (t2 :: (a, b, c, d)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) 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.Classes Methods (%<>) :: forall (t1 :: (a, b, c, d, e)) (t2 :: (a, b, c, d, e)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) 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_6989586621680031464Sym0 a) a

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

type Mconcat a = Apply Mconcat_6989586621680031478Sym0 a

Instances

Instances details

PMonoid All Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: 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 arg1 :: a Source # type Mconcat arg :: a Source #

class SSemigroup a => SMonoid a where Source #

Minimal complete definition

sMempty

Methods

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

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

default sMappend :: forall (t :: a) (t :: a). (Apply (Apply MappendSym0 t) t :: a) ~ Apply (Apply Mappend_6989586621680031464Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t :: a) :: Type Source #

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

default sMconcat :: forall (t :: [a]). (Apply MconcatSym0 t :: a) ~ Apply Mconcat_6989586621680031478Sym0 t => Sing t -> Sing (Apply MconcatSym0 t :: a) :: Type Source #

Instances

Instances details

SMonoid All Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t1 :: All) (t2 :: All). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: Any) (t2 :: Any). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: Ordering) (t2 :: Ordering). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: ()) (t2 :: ()). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: Symbol) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: First a) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: Last a) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: Down a) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: Max a) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: Min a) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: WrappedMonoid m) (t2 :: WrappedMonoid m). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: Dual a) (t2 :: Dual a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: Product a) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: Sum a) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: Maybe a) (t2 :: Maybe a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: [a]) (t2 :: [a]). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: Proxy s) (t2 :: Proxy s). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: a ~> b) (t2 :: a ~> b). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: (a, b)) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: (a, b, c)) (t2 :: (a, b, c)). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: (a, b, c, d)) (t2 :: (a, b, c, d)). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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 (t1 :: (a, b, c, d, e)) (t2 :: (a, b, c, d, e)). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) 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_6989586621679276550Sym0 a) a

Instances

Instances details

PFunctor Identity Source #
Instance details Defined in Data.Functor.Identity.Singletons Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor First Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor Last Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor Down Source #
Instance details Defined in Data.Functor.Singletons Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor First Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor Last Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor Max Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor Min Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor Dual Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor Product Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor Sum Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor NonEmpty Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor Maybe Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor List Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor (Either a) Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor (Proxy :: Type -> Type) Source #
Instance details Defined in Data.Proxy.Singletons Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor (Arg a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor ((,) a) Source #
Instance details Defined in Data.Functor.Singletons Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor (Const m :: Type -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor (Product f g) Source #
Instance details Defined in Data.Functor.Product.Singletons Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor (Sum f g) Source #
Instance details Defined in Data.Functor.Sum.Singletons Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
PFunctor (Compose f g) Source #
Instance details Defined in Data.Functor.Compose.Singletons Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #

class SFunctor f where Source #

Minimal complete definition

sFmap

Methods

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

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

default (%<$) :: forall (t :: a) (t :: f b). (Apply (Apply (<$@#@$) t) t :: f a) ~ Apply (Apply TFHelper_6989586621679276550Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t :: f a) :: Type Source #

Instances

Instances details

SFunctor Identity Source #
Instance details Defined in Data.Functor.Identity.Singletons Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: Identity b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
SFunctor First Source #
Instance details Defined in Data.Monoid.Singletons Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: First b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
SFunctor Last Source #
Instance details Defined in Data.Monoid.Singletons Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: Last b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
SFunctor Down Source #
Instance details Defined in Data.Functor.Singletons Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: Down b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
SFunctor First Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: First b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
SFunctor Last Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: Last b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
SFunctor Max Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: Max b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
SFunctor Min Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: Min b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
SFunctor Dual Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: Dual a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: Dual b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
SFunctor Product Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: Product b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
SFunctor Sum Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: Sum b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
SFunctor NonEmpty Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: NonEmpty b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
SFunctor Maybe Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: Maybe a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: Maybe b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
SFunctor List Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: [a]). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: [b]). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
SFunctor (Either a) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sFmap :: forall a0 b (t1 :: a0 ~> b) (t2 :: Either a a0). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a0 b (t1 :: a0) (t2 :: Either a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
SFunctor (Proxy :: Type -> Type) Source #
Instance details Defined in Data.Proxy.Singletons Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: Proxy a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: Proxy b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
SFunctor (Arg a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFmap :: forall a0 b (t1 :: a0 ~> b) (t2 :: Arg a a0). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a0 b (t1 :: a0) (t2 :: Arg a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
SFunctor ((,) a) Source #
Instance details Defined in Data.Functor.Singletons Methods sFmap :: forall a0 b (t1 :: a0 ~> b) (t2 :: (a, a0)). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a0 b (t1 :: a0) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
SFunctor (Const m :: Type -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: Const m a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: Const m b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
(SFunctor f, SFunctor g) => SFunctor (Product f g) Source #
Instance details Defined in Data.Functor.Product.Singletons Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: Product f g a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: Product f g b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
(SFunctor f, SFunctor g) => SFunctor (Sum f g) Source #
Instance details Defined in Data.Functor.Sum.Singletons Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: Sum f g a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: Sum f g b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
(SFunctor f, SFunctor g) => SFunctor (Compose f g) Source #
Instance details Defined in Data.Functor.Compose.Singletons Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: Compose f g a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: Compose f g b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #

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

Equations

a_6989586621679430458 <$> a_6989586621679430460 = Apply (Apply FmapSym0 a_6989586621679430458) a_6989586621679430460

(%<$>) :: forall (t :: (~>) a b) (t :: f a). SFunctor f => Sing t -> Sing t -> Sing (Apply (Apply (<$>@#@$) t) t :: f b) :: Type 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_6989586621679276590Sym0 a) a

type LiftA2 (arg :: (~>) a ((~>) b c)) (arg :: f a) (arg :: f b) :: f c Source #

type LiftA2 a a a = Apply (Apply (Apply LiftA2_6989586621679276606Sym0 a) a) a

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

type a *> a = Apply (Apply TFHelper_6989586621679276622Sym0 a) a

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

type a <* a = Apply (Apply TFHelper_6989586621679276633Sym0 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 <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative First Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative Last Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative Down Source #
Instance details Defined in Control.Applicative.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative First Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative Last Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative Max Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative Min Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative Dual Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative Product Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative Sum Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative NonEmpty Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative Maybe Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative List Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: 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 <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: 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 <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative ((,) a) Source #
Instance details Defined in Control.Applicative.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: 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 <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: 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 <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: 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 <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #

class SFunctor f => SApplicative f where Source #

Minimal complete definition

sPure

Methods

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

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

default (%<*>) :: forall (t :: f ((~>) a b)) (t :: f a). (Apply (Apply (<*>@#@$) t) t :: f b) ~ Apply (Apply TFHelper_6989586621679276590Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<*>@#@$) t) t :: f b) :: Type Source #

sLiftA2 :: forall (t :: (~>) a ((~>) b c)) (t :: f a) (t :: f b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t :: f c) :: Type Source #

default sLiftA2 :: forall (t :: (~>) a ((~>) b c)) (t :: f a) (t :: f b). (Apply (Apply (Apply LiftA2Sym0 t) t) t :: f c) ~ Apply (Apply (Apply LiftA2_6989586621679276606Sym0 t) t) t => Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t :: f c) :: Type Source #

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

default (%*>) :: forall (t :: f a) (t :: f b). (Apply (Apply (*>@#@$) t) t :: f b) ~ Apply (Apply TFHelper_6989586621679276622Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (*>@#@$) t) t :: f b) :: Type Source #

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

default (%<*) :: forall (t :: f a) (t :: f b). (Apply (Apply (<*@#@$) t) t :: f a) ~ Apply (Apply TFHelper_6989586621679276633Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<*@#@$) t) t :: f a) :: Type 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 (t1 :: Identity (a ~> b)) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Identity a) (t3 :: Identity b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Identity a) (t2 :: Identity b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Identity a) (t2 :: Identity b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative First Source #
Instance details Defined in Data.Monoid.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: First (a ~> b)) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: First a) (t3 :: First b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: First a) (t2 :: First b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: First a) (t2 :: First b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) 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 (t1 :: Last (a ~> b)) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Last a) (t3 :: Last b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Last a) (t2 :: Last b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Last a) (t2 :: Last b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative Down Source #
Instance details Defined in Control.Applicative.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Down (a ~> b)) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Down a) (t3 :: Down b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Down a) (t2 :: Down b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Down a) (t2 :: Down b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) 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 (t1 :: First (a ~> b)) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: First a) (t3 :: First b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: First a) (t2 :: First b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: First a) (t2 :: First b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative Last Source #
Instance details Defined in Data.Semigroup.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Last (a ~> b)) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Last a) (t3 :: Last b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Last a) (t2 :: Last b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Last a) (t2 :: Last b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) 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 (t1 :: Max (a ~> b)) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Max a) (t3 :: Max b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Max a) (t2 :: Max b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Max a) (t2 :: Max b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative Min Source #
Instance details Defined in Data.Semigroup.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Min (a ~> b)) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Min a) (t3 :: Min b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Min a) (t2 :: Min b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Min a) (t2 :: Min b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative Dual Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Dual (a ~> b)) (t2 :: Dual a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Dual a) (t3 :: Dual b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Dual a) (t2 :: Dual b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Dual a) (t2 :: Dual b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative Product Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Product (a ~> b)) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Product a) (t3 :: Product b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Product a) (t2 :: Product b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Product a) (t2 :: Product b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative Sum Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Sum (a ~> b)) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Sum a) (t3 :: Sum b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Sum a) (t2 :: Sum b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Sum a) (t2 :: Sum b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative NonEmpty Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: NonEmpty (a ~> b)) (t2 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: NonEmpty a) (t3 :: NonEmpty b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: NonEmpty a) (t2 :: NonEmpty b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: NonEmpty a) (t2 :: NonEmpty b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) 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 (t1 :: Maybe (a ~> b)) (t2 :: Maybe a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Maybe a) (t3 :: Maybe b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Maybe a) (t2 :: Maybe b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Maybe a) (t2 :: Maybe b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative List Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: [a ~> b]) (t2 :: [a]). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: [a]) (t3 :: [b]). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: [a]) (t2 :: [b]). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: [a]) (t2 :: [b]). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) 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 (t1 :: Either e (a ~> b)) (t2 :: Either e a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Either e a) (t3 :: Either e b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Either e a) (t2 :: Either e b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Either e a) (t2 :: Either e b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative (Proxy :: Type -> Type) Source #
Instance details Defined in Data.Proxy.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Proxy (a ~> b)) (t2 :: Proxy a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Proxy a) (t3 :: Proxy b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Proxy a) (t2 :: Proxy b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Proxy a) (t2 :: Proxy b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) 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 (t1 :: (a, a0 ~> b)) (t2 :: (a, a0)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a0 b c (t1 :: a0 ~> (b ~> c)) (t2 :: (a, a0)) (t3 :: (a, b)). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a0 b (t1 :: (a, a0)) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a0 b (t1 :: (a, a0)) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SMonoid m => SApplicative (Const m :: Type -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Const m (a ~> b)) (t2 :: Const m a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Const m a) (t3 :: Const m b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Const m a) (t2 :: Const m b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Const m a) (t2 :: Const m b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) 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 (t1 :: Product f g (a ~> b)) (t2 :: Product f g a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Product f g a) (t3 :: Product f g b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Product f g a) (t2 :: Product f g b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Product f g a) (t2 :: Product f g b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
(SApplicative f, SApplicative g) => SApplicative (Compose f g) Source #
Instance details Defined in Data.Functor.Compose.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Compose f g (a ~> b)) (t2 :: Compose f g a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Compose f g a) (t3 :: Compose f g b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Compose f g a) (t2 :: Compose f g b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Compose f g a) (t2 :: Compose f g b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) 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_6989586621679276661Sym0 a) a

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

type Return a = Apply Return_6989586621679276678Sym0 a

Instances

Instances details

PMonad Identity Source #
Instance details Defined in Data.Functor.Identity.Singletons Associated Types type arg >>= arg1 :: m b Source # type arg >> arg1 :: m b Source # type Return arg :: m a Source #
PMonad First Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type arg >>= arg1 :: m b Source # type arg >> arg1 :: m b Source # type Return arg :: m a Source #
PMonad Last Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type arg >>= arg1 :: m b Source # type arg >> arg1 :: m b Source # type Return arg :: m a Source #
PMonad Down Source #
Instance details Defined in Control.Monad.Singletons Associated Types type arg >>= arg1 :: m b Source # type arg >> arg1 :: m b Source # type Return arg :: m a Source #
PMonad First Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg >>= arg1 :: m b Source # type arg >> arg1 :: m b Source # type Return arg :: m a Source #
PMonad Last Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg >>= arg1 :: m b Source # type arg >> arg1 :: m b Source # type Return arg :: m a Source #
PMonad Max Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg >>= arg1 :: m b Source # type arg >> arg1 :: m b Source # type Return arg :: m a Source #
PMonad Min Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg >>= arg1 :: m b Source # type arg >> arg1 :: m b Source # type Return arg :: m a Source #
PMonad Dual Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type arg >>= arg1 :: m b Source # type arg >> arg1 :: m b Source # type Return arg :: m a Source #
PMonad Product Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type arg >>= arg1 :: m b Source # type arg >> arg1 :: m b Source # type Return arg :: m a Source #
PMonad Sum Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type arg >>= arg1 :: m b Source # type arg >> arg1 :: m b Source # type Return arg :: m a Source #
PMonad NonEmpty Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type arg >>= arg1 :: m b Source # type arg >> arg1 :: m b Source # type Return arg :: m a Source #
PMonad Maybe Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type arg >>= arg1 :: m b Source # type arg >> arg1 :: m b Source # type Return arg :: m a Source #
PMonad List Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type arg >>= arg1 :: m b Source # type arg >> arg1 :: 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 >>= arg1 :: m b Source # type arg >> arg1 :: 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 >>= arg1 :: m b Source # type arg >> arg1 :: m b Source # type Return arg :: m a Source #
PMonad ((,) a) Source #
Instance details Defined in Control.Monad.Singletons Associated Types type arg >>= arg1 :: m b Source # type arg >> arg1 :: 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 >>= arg1 :: m b Source # type arg >> arg1 :: 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 (>>@#@$) t) t :: m b) ~ Apply (Apply TFHelper_6989586621679276661Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t :: m b) Source #

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

default sReturn :: forall (t :: a). (Apply ReturnSym0 t :: m a) ~ Apply Return_6989586621679276678Sym0 t => Sing t -> Sing (Apply ReturnSym0 t :: m a) :: Type Source #

Instances

Instances details

SMonad Identity Source #
Instance details Defined in Data.Functor.Identity.Singletons Methods (%>>=) :: forall a b (t1 :: Identity a) (t2 :: a ~> Identity b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>=@#@$) t1) t2) Source # (%>>) :: forall a b (t1 :: Identity a) (t2 :: Identity b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>@#@$) t1) t2) 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 (t1 :: First a) (t2 :: a ~> First b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>=@#@$) t1) t2) Source # (%>>) :: forall a b (t1 :: First a) (t2 :: First b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>@#@$) t1) t2) 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 (t1 :: Last a) (t2 :: a ~> Last b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>=@#@$) t1) t2) Source # (%>>) :: forall a b (t1 :: Last a) (t2 :: Last b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>@#@$) t1) t2) 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 (t1 :: Down a) (t2 :: a ~> Down b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>=@#@$) t1) t2) Source # (%>>) :: forall a b (t1 :: Down a) (t2 :: Down b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>@#@$) t1) t2) 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 (t1 :: First a) (t2 :: a ~> First b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>=@#@$) t1) t2) Source # (%>>) :: forall a b (t1 :: First a) (t2 :: First b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>@#@$) t1) t2) 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 (t1 :: Last a) (t2 :: a ~> Last b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>=@#@$) t1) t2) Source # (%>>) :: forall a b (t1 :: Last a) (t2 :: Last b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>@#@$) t1) t2) 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 (t1 :: Max a) (t2 :: a ~> Max b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>=@#@$) t1) t2) Source # (%>>) :: forall a b (t1 :: Max a) (t2 :: Max b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>@#@$) t1) t2) 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 (t1 :: Min a) (t2 :: a ~> Min b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>=@#@$) t1) t2) Source # (%>>) :: forall a b (t1 :: Min a) (t2 :: Min b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>@#@$) t1) t2) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonad Dual Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods (%>>=) :: forall a b (t1 :: Dual a) (t2 :: a ~> Dual b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>=@#@$) t1) t2) Source # (%>>) :: forall a b (t1 :: Dual a) (t2 :: Dual b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>@#@$) t1) t2) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonad Product Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods (%>>=) :: forall a b (t1 :: Product a) (t2 :: a ~> Product b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>=@#@$) t1) t2) Source # (%>>) :: forall a b (t1 :: Product a) (t2 :: Product b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>@#@$) t1) t2) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonad Sum Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods (%>>=) :: forall a b (t1 :: Sum a) (t2 :: a ~> Sum b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>=@#@$) t1) t2) Source # (%>>) :: forall a b (t1 :: Sum a) (t2 :: Sum b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>@#@$) t1) t2) 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 (t1 :: NonEmpty a) (t2 :: a ~> NonEmpty b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>=@#@$) t1) t2) Source # (%>>) :: forall a b (t1 :: NonEmpty a) (t2 :: NonEmpty b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>@#@$) t1) t2) 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 (t1 :: Maybe a) (t2 :: a ~> Maybe b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>=@#@$) t1) t2) Source # (%>>) :: forall a b (t1 :: Maybe a) (t2 :: Maybe b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>@#@$) t1) t2) Source # sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t) Source #
SMonad List Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods (%>>=) :: forall a b (t1 :: [a]) (t2 :: a ~> [b]). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>=@#@$) t1) t2) Source # (%>>) :: forall a b (t1 :: [a]) (t2 :: [b]). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>@#@$) t1) t2) 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 (t1 :: Either e a) (t2 :: a ~> Either e b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>=@#@$) t1) t2) Source # (%>>) :: forall a b (t1 :: Either e a) (t2 :: Either e b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>@#@$) t1) t2) 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 (t1 :: Proxy a) (t2 :: a ~> Proxy b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>=@#@$) t1) t2) Source # (%>>) :: forall a b (t1 :: Proxy a) (t2 :: Proxy b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>@#@$) t1) t2) 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 (t1 :: (a, a0)) (t2 :: a0 ~> (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>=@#@$) t1) t2) Source # (%>>) :: forall a0 b (t1 :: (a, a0)) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>@#@$) t1) t2) 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 (t1 :: Product f g a) (t2 :: a ~> Product f g b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>=@#@$) t1) t2) Source # (%>>) :: forall a b (t1 :: Product f g a) (t2 :: Product f g b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>>@#@$) t1) t2) 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 List 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 (t :: [Char]). Sing t -> Sing (Apply FailSym0 t :: m a) :: Type 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 List 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_6989586621680110482 = Apply (Apply (Apply FoldrSym0 (Apply (Apply (.@#@$) (>>@#@$)) f)) (Apply ReturnSym0 Tuple0Sym0)) a_6989586621680110482

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

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

Equations

Sequence_ a_6989586621680110459 = Apply (Apply (Apply FoldrSym0 (>>@#@$)) (Apply ReturnSym0 Tuple0Sym0)) a_6989586621680110459

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

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

Equations

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

(%=<<) :: forall (t :: (~>) a (m b)) (t :: m a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply (=<<@#@$) t) t :: m b) :: Type 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_6989586621680110630Sym0 a) a

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

type Foldr a a a = Apply (Apply (Apply Foldr_6989586621680110644Sym0 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_6989586621680110682Sym0 a) a) a

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

type Foldr1 a a = Apply (Apply Foldr1_6989586621680110719Sym0 a) a

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

type Foldl1 a a = Apply (Apply Foldl1_6989586621680110740Sym0 a) a

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

type Elem a a = Apply (Apply Elem_6989586621680110805Sym0 a) a

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

type Maximum a = Apply Maximum_6989586621680110819Sym0 a

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

type Minimum a = Apply Minimum_6989586621680110834Sym0 a

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

type Sum a = Apply Sum_6989586621680110849Sym0 a

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

type Product a = Apply Product_6989586621680110858Sym0 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
PFoldable List Source #
Instance details Defined in Data.Foldable.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: 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 (t :: (~>) a m) (t :: t a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t :: m) :: Type Source #

default sFoldMap :: forall (t :: (~>) a m) (t :: t a). ((Apply (Apply FoldMapSym0 t) t :: m) ~ Apply (Apply FoldMap_6989586621680110630Sym0 t) t, SMonoid m) => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t :: m) :: Type Source #

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

default sFoldr :: forall (t :: (~>) a ((~>) b b)) (t :: b) (t :: t a). (Apply (Apply (Apply FoldrSym0 t) t) t :: b) ~ Apply (Apply (Apply Foldr_6989586621680110644Sym0 t) t) t => Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t :: b) :: Type Source #

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

default sFoldl :: forall (t :: (~>) b ((~>) a b)) (t :: b) (t :: t a). (Apply (Apply (Apply FoldlSym0 t) t) t :: b) ~ Apply (Apply (Apply Foldl_6989586621680110682Sym0 t) t) t => Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t :: b) :: Type Source #

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

default sFoldr1 :: forall (t :: (~>) a ((~>) a a)) (t :: t a). (Apply (Apply Foldr1Sym0 t) t :: a) ~ Apply (Apply Foldr1_6989586621680110719Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t :: a) :: Type Source #

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

default sFoldl1 :: forall (t :: (~>) a ((~>) a a)) (t :: t a). (Apply (Apply Foldl1Sym0 t) t :: a) ~ Apply (Apply Foldl1_6989586621680110740Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t :: a) :: Type Source #

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

default sElem :: forall (t :: a) (t :: t a). ((Apply (Apply ElemSym0 t) t :: Bool) ~ Apply (Apply Elem_6989586621680110805Sym0 t) t, SEq a) => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t :: Bool) :: Type 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_6989586621680110819Sym0 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_6989586621680110834Sym0 t, SOrd a) => Sing t -> Sing (Apply MinimumSym0 t :: a) Source #

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

default sSum :: forall (t :: t a). ((Apply SumSym0 t :: a) ~ Apply Sum_6989586621680110849Sym0 t, SNum a) => Sing t -> Sing (Apply SumSym0 t :: a) :: Type Source #

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

default sProduct :: forall (t :: t a). ((Apply ProductSym0 t :: a) ~ Apply Product_6989586621680110858Sym0 t, SNum a) => Sing t -> Sing (Apply ProductSym0 t :: a) :: Type Source #

Instances

Instances details

SFoldable Identity Source #
Instance details Defined in Data.Functor.Identity.Singletons Methods sFold :: forall m (t1 :: Identity m). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a m (t1 :: a ~> m) (t2 :: Identity a). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Identity a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Identity a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Identity a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Identity a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a (t1 :: Identity a). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a (t1 :: Identity a). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a (t1 :: Identity a). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a (t1 :: a) (t2 :: Identity a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a (t1 :: Identity a). SOrd a => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a (t1 :: Identity a). SOrd a => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a (t1 :: Identity a). SNum a => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a (t1 :: Identity a). SNum a => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
SFoldable First Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t1 :: First m). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a m (t1 :: a ~> m) (t2 :: First a). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: First a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: First a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: First a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: First a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a (t1 :: First a). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a (t1 :: First a). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a (t1 :: First a). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a (t1 :: a) (t2 :: First a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a (t1 :: First a). SOrd a => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a (t1 :: First a). SOrd a => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a (t1 :: First a). SNum a => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a (t1 :: First a). SNum a => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
SFoldable Last Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t1 :: Last m). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a m (t1 :: a ~> m) (t2 :: Last a). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Last a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Last a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Last a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Last a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a (t1 :: Last a). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a (t1 :: Last a). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a (t1 :: Last a). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a (t1 :: a) (t2 :: Last a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a (t1 :: Last a). SOrd a => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a (t1 :: Last a). SOrd a => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a (t1 :: Last a). SNum a => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a (t1 :: Last a). SNum a => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
SFoldable First Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFold :: forall m (t1 :: First m). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a m (t1 :: a ~> m) (t2 :: First a). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: First a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: First a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: First a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: First a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a (t1 :: First a). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a (t1 :: First a). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a (t1 :: First a). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a (t1 :: a) (t2 :: First a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a (t1 :: First a). SOrd a => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a (t1 :: First a). SOrd a => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a (t1 :: First a). SNum a => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a (t1 :: First a). SNum a => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
SFoldable Last Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFold :: forall m (t1 :: Last m). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a m (t1 :: a ~> m) (t2 :: Last a). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Last a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Last a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Last a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Last a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a (t1 :: Last a). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a (t1 :: Last a). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a (t1 :: Last a). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a (t1 :: a) (t2 :: Last a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a (t1 :: Last a). SOrd a => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a (t1 :: Last a). SOrd a => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a (t1 :: Last a). SNum a => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a (t1 :: Last a). SNum a => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
SFoldable Max Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFold :: forall m (t1 :: Max m). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a m (t1 :: a ~> m) (t2 :: Max a). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Max a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Max a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Max a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Max a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a (t1 :: Max a). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a (t1 :: Max a). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a (t1 :: Max a). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a (t1 :: a) (t2 :: Max a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a (t1 :: Max a). SOrd a => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a (t1 :: Max a). SOrd a => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a (t1 :: Max a). SNum a => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a (t1 :: Max a). SNum a => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
SFoldable Min Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFold :: forall m (t1 :: Min m). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a m (t1 :: a ~> m) (t2 :: Min a). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Min a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Min a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Min a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Min a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a (t1 :: Min a). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a (t1 :: Min a). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a (t1 :: Min a). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a (t1 :: a) (t2 :: Min a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a (t1 :: Min a). SOrd a => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a (t1 :: Min a). SOrd a => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a (t1 :: Min a). SNum a => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a (t1 :: Min a). SNum a => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
SFoldable Dual Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t1 :: Dual m). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a m (t1 :: a ~> m) (t2 :: Dual a). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Dual a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Dual a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Dual a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Dual a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Dual a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Dual a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a (t1 :: Dual a). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a (t1 :: Dual a). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a (t1 :: Dual a). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a (t1 :: a) (t2 :: Dual a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a (t1 :: Dual a). SOrd a => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a (t1 :: Dual a). SOrd a => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a (t1 :: Dual a). SNum a => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a (t1 :: Dual a). SNum a => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
SFoldable Product Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t1 :: Product m). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a m (t1 :: a ~> m) (t2 :: Product a). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Product a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Product a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Product a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Product a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a (t1 :: Product a). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a (t1 :: Product a). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a (t1 :: Product a). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a (t1 :: a) (t2 :: Product a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a (t1 :: Product a). SOrd a => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a (t1 :: Product a). SOrd a => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a (t1 :: Product a). SNum a => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a (t1 :: Product a). SNum a => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
SFoldable Sum Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t1 :: Sum m). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a m (t1 :: a ~> m) (t2 :: Sum a). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Sum a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Sum a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Sum a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Sum a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a (t1 :: Sum a). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a (t1 :: Sum a). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a (t1 :: Sum a). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a (t1 :: a) (t2 :: Sum a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a (t1 :: Sum a). SOrd a => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a (t1 :: Sum a). SOrd a => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a (t1 :: Sum a). SNum a => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a (t1 :: Sum a). SNum a => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
SFoldable NonEmpty Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t1 :: NonEmpty m). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a m (t1 :: a ~> m) (t2 :: NonEmpty a). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a (t1 :: NonEmpty a). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a (t1 :: NonEmpty a). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a (t1 :: NonEmpty a). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a (t1 :: a) (t2 :: NonEmpty a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a (t1 :: NonEmpty a). SOrd a => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a (t1 :: NonEmpty a). SOrd a => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a (t1 :: NonEmpty a). SNum a => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a (t1 :: NonEmpty a). SNum a => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
SFoldable Maybe Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t1 :: Maybe m). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a m (t1 :: a ~> m) (t2 :: Maybe a). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Maybe a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Maybe a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Maybe a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Maybe a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Maybe a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Maybe a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a (t1 :: Maybe a). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a (t1 :: Maybe a). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a (t1 :: Maybe a). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a (t1 :: a) (t2 :: Maybe a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a (t1 :: Maybe a). SOrd a => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a (t1 :: Maybe a). SOrd a => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a (t1 :: Maybe a). SNum a => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a (t1 :: Maybe a). SNum a => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
SFoldable List Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t1 :: [m]). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a m (t1 :: a ~> m) (t2 :: [a]). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: [a]). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: [a]). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: [a]). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: [a]). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: [a]). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: [a]). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a (t1 :: [a]). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a (t1 :: [a]). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a (t1 :: [a]). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a (t1 :: a) (t2 :: [a]). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a (t1 :: [a]). SOrd a => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a (t1 :: [a]). SOrd a => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a (t1 :: [a]). SNum a => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a (t1 :: [a]). SNum a => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
SFoldable (Either a) Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t1 :: Either a m). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a0 m (t1 :: a0 ~> m) (t2 :: Either a a0). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a0 b (t1 :: a0 ~> (b ~> b)) (t2 :: b) (t3 :: Either a a0). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a0 b (t1 :: a0 ~> (b ~> b)) (t2 :: b) (t3 :: Either a a0). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a0 (t1 :: b ~> (a0 ~> b)) (t2 :: b) (t3 :: Either a a0). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a0 (t1 :: b ~> (a0 ~> b)) (t2 :: b) (t3 :: Either a a0). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a0 (t1 :: a0 ~> (a0 ~> a0)) (t2 :: Either a a0). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a0 (t1 :: a0 ~> (a0 ~> a0)) (t2 :: Either a a0). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a0 (t1 :: Either a a0). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a0 (t1 :: Either a a0). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a0 (t1 :: Either a a0). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a0 (t1 :: a0) (t2 :: Either a a0). SEq a0 => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a0 (t1 :: Either a a0). SOrd a0 => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a0 (t1 :: Either a a0). SOrd a0 => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a0 (t1 :: Either a a0). SNum a0 => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a0 (t1 :: Either a a0). SNum a0 => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
SFoldable (Proxy :: Type -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t1 :: Proxy m). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a m (t1 :: a ~> m) (t2 :: Proxy a). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Proxy a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Proxy a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Proxy a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Proxy a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Proxy a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Proxy a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a (t1 :: Proxy a). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a (t1 :: Proxy a). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a (t1 :: Proxy a). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a (t1 :: a) (t2 :: Proxy a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a (t1 :: Proxy a). SOrd a => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a (t1 :: Proxy a). SOrd a => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a (t1 :: Proxy a). SNum a => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a (t1 :: Proxy a). SNum a => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
SFoldable (Arg a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sFold :: forall m (t1 :: Arg a m). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a0 m (t1 :: a0 ~> m) (t2 :: Arg a a0). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a0 b (t1 :: a0 ~> (b ~> b)) (t2 :: b) (t3 :: Arg a a0). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a0 b (t1 :: a0 ~> (b ~> b)) (t2 :: b) (t3 :: Arg a a0). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a0 (t1 :: b ~> (a0 ~> b)) (t2 :: b) (t3 :: Arg a a0). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a0 (t1 :: b ~> (a0 ~> b)) (t2 :: b) (t3 :: Arg a a0). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a0 (t1 :: a0 ~> (a0 ~> a0)) (t2 :: Arg a a0). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a0 (t1 :: a0 ~> (a0 ~> a0)) (t2 :: Arg a a0). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a0 (t1 :: Arg a a0). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a0 (t1 :: Arg a a0). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a0 (t1 :: Arg a a0). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a0 (t1 :: a0) (t2 :: Arg a a0). SEq a0 => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a0 (t1 :: Arg a a0). SOrd a0 => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a0 (t1 :: Arg a a0). SOrd a0 => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a0 (t1 :: Arg a a0). SNum a0 => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a0 (t1 :: Arg a a0). SNum a0 => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
SFoldable ((,) a) Source #
Instance details Defined in Data.Foldable.Singletons Methods sFold :: forall m (t1 :: (a, m)). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a0 m (t1 :: a0 ~> m) (t2 :: (a, a0)). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a0 b (t1 :: a0 ~> (b ~> b)) (t2 :: b) (t3 :: (a, a0)). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a0 b (t1 :: a0 ~> (b ~> b)) (t2 :: b) (t3 :: (a, a0)). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a0 (t1 :: b ~> (a0 ~> b)) (t2 :: b) (t3 :: (a, a0)). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a0 (t1 :: b ~> (a0 ~> b)) (t2 :: b) (t3 :: (a, a0)). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a0 (t1 :: a0 ~> (a0 ~> a0)) (t2 :: (a, a0)). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a0 (t1 :: a0 ~> (a0 ~> a0)) (t2 :: (a, a0)). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a0 (t1 :: (a, a0)). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a0 (t1 :: (a, a0)). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a0 (t1 :: (a, a0)). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a0 (t1 :: a0) (t2 :: (a, a0)). SEq a0 => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a0 (t1 :: (a, a0)). SOrd a0 => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a0 (t1 :: (a, a0)). SOrd a0 => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a0 (t1 :: (a, a0)). SNum a0 => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a0 (t1 :: (a, a0)). SNum a0 => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
SFoldable (Const m :: Type -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sFold :: forall m0 (t1 :: Const m m0). SMonoid m0 => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a m0 (t1 :: a ~> m0) (t2 :: Const m a). SMonoid m0 => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Const m a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Const m a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Const m a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Const m a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Const m a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Const m a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a (t1 :: Const m a). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a (t1 :: Const m a). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a (t1 :: Const m a). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a (t1 :: a) (t2 :: Const m a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a (t1 :: Const m a). SOrd a => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a (t1 :: Const m a). SOrd a => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a (t1 :: Const m a). SNum a => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a (t1 :: Const m a). SNum a => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
(SFoldable f, SFoldable g) => SFoldable (Product f g) Source #
Instance details Defined in Data.Functor.Product.Singletons Methods sFold :: forall m (t1 :: Product f g m). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a m (t1 :: a ~> m) (t2 :: Product f g a). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Product f g a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Product f g a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Product f g a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Product f g a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Product f g a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Product f g a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a (t1 :: Product f g a). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a (t1 :: Product f g a). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a (t1 :: Product f g a). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a (t1 :: a) (t2 :: Product f g a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a (t1 :: Product f g a). SOrd a => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a (t1 :: Product f g a). SOrd a => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a (t1 :: Product f g a). SNum a => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a (t1 :: Product f g a). SNum a => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
(SFoldable f, SFoldable g) => SFoldable (Sum f g) Source #
Instance details Defined in Data.Functor.Sum.Singletons Methods sFold :: forall m (t1 :: Sum f g m). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a m (t1 :: a ~> m) (t2 :: Sum f g a). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Sum f g a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Sum f g a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Sum f g a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Sum f g a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Sum f g a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Sum f g a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a (t1 :: Sum f g a). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a (t1 :: Sum f g a). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a (t1 :: Sum f g a). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a (t1 :: a) (t2 :: Sum f g a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a (t1 :: Sum f g a). SOrd a => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a (t1 :: Sum f g a). SOrd a => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a (t1 :: Sum f g a). SNum a => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a (t1 :: Sum f g a). SNum a => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
(SFoldable f, SFoldable g) => SFoldable (Compose f g) Source #
Instance details Defined in Data.Functor.Compose.Singletons Methods sFold :: forall m (t1 :: Compose f g m). SMonoid m => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a m (t1 :: a ~> m) (t2 :: Compose f g a). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Compose f g a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Compose f g a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Compose f g a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Compose f g a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Compose f g a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Compose f g a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a (t1 :: Compose f g a). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a (t1 :: Compose f g a). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a (t1 :: Compose f g a). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a (t1 :: a) (t2 :: Compose f g a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a (t1 :: Compose f g a). SOrd a => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a (t1 :: Compose f g a). SOrd a => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a (t1 :: Compose f g a). SNum a => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a (t1 :: Compose f g a). SNum a => Sing t1 -> Sing (Apply ProductSym0 t1) 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_6989586621680379960Sym0 a) a

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

type SequenceA a = Apply SequenceA_6989586621680379972Sym0 a

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

type MapM a a = Apply (Apply MapM_6989586621680379982Sym0 a) a

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

type Sequence a = Apply Sequence_6989586621680379996Sym0 a

Instances

Instances details

PTraversable Identity Source #
Instance details Defined in Data.Traversable.Singletons Associated Types type Traverse arg arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: m (t b) Source # type Sequence arg :: m (t a) Source #
PTraversable List Source #
Instance details Defined in Data.Traversable.Singletons Associated Types type Traverse arg arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: 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 (t :: (~>) a (f b)) (t :: t a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t :: f (t b)) :: Type Source #

default sTraverse :: forall (t :: (~>) a (f b)) (t :: t a). ((Apply (Apply TraverseSym0 t) t :: f (t b)) ~ Apply (Apply Traverse_6989586621680379960Sym0 t) t, SApplicative f) => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t :: f (t b)) :: Type Source #

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

default sSequenceA :: forall (t :: t (f a)). ((Apply SequenceASym0 t :: f (t a)) ~ Apply SequenceA_6989586621680379972Sym0 t, SApplicative f) => Sing t -> Sing (Apply SequenceASym0 t :: f (t a)) :: Type Source #

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

default sMapM :: forall (t :: (~>) a (m b)) (t :: t a). ((Apply (Apply MapMSym0 t) t :: m (t b)) ~ Apply (Apply MapM_6989586621680379982Sym0 t) t, SMonad m) => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t :: m (t b)) :: Type Source #

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

default sSequence :: forall (t :: t (m a)). ((Apply SequenceSym0 t :: m (t a)) ~ Apply Sequence_6989586621680379996Sym0 t, SMonad m) => Sing t -> Sing (Apply SequenceSym0 t :: m (t a)) :: Type Source #

Instances

Instances details

STraversable Identity Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t1 :: a ~> f b) (t2 :: Identity a). SApplicative f => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f :: Type -> Type) a (t1 :: Identity (f a)). SApplicative f => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a (m :: Type -> Type) b (t1 :: a ~> m b) (t2 :: Identity a). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a (t1 :: Identity (m a)). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) Source #
STraversable First Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t1 :: a ~> f b) (t2 :: First a). SApplicative f => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f :: Type -> Type) a (t1 :: First (f a)). SApplicative f => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a (m :: Type -> Type) b (t1 :: a ~> m b) (t2 :: First a). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a (t1 :: First (m a)). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) Source #
STraversable Last Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t1 :: a ~> f b) (t2 :: Last a). SApplicative f => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f :: Type -> Type) a (t1 :: Last (f a)). SApplicative f => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a (m :: Type -> Type) b (t1 :: a ~> m b) (t2 :: Last a). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a (t1 :: Last (m a)). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) Source #
STraversable First Source #
Instance details Defined in Data.Semigroup.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t1 :: a ~> f b) (t2 :: First a). SApplicative f => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f :: Type -> Type) a (t1 :: First (f a)). SApplicative f => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a (m :: Type -> Type) b (t1 :: a ~> m b) (t2 :: First a). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a (t1 :: First (m a)). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) Source #
STraversable Last Source #
Instance details Defined in Data.Semigroup.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t1 :: a ~> f b) (t2 :: Last a). SApplicative f => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f :: Type -> Type) a (t1 :: Last (f a)). SApplicative f => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a (m :: Type -> Type) b (t1 :: a ~> m b) (t2 :: Last a). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a (t1 :: Last (m a)). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) Source #
STraversable Max Source #
Instance details Defined in Data.Semigroup.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t1 :: a ~> f b) (t2 :: Max a). SApplicative f => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f :: Type -> Type) a (t1 :: Max (f a)). SApplicative f => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a (m :: Type -> Type) b (t1 :: a ~> m b) (t2 :: Max a). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a (t1 :: Max (m a)). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) Source #
STraversable Min Source #
Instance details Defined in Data.Semigroup.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t1 :: a ~> f b) (t2 :: Min a). SApplicative f => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f :: Type -> Type) a (t1 :: Min (f a)). SApplicative f => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a (m :: Type -> Type) b (t1 :: a ~> m b) (t2 :: Min a). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a (t1 :: Min (m a)). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) Source #
STraversable Dual Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t1 :: a ~> f b) (t2 :: Dual a). SApplicative f => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f :: Type -> Type) a (t1 :: Dual (f a)). SApplicative f => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a (m :: Type -> Type) b (t1 :: a ~> m b) (t2 :: Dual a). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a (t1 :: Dual (m a)). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) Source #
STraversable Product Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t1 :: a ~> f b) (t2 :: Product a). SApplicative f => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f :: Type -> Type) a (t1 :: Product (f a)). SApplicative f => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a (m :: Type -> Type) b (t1 :: a ~> m b) (t2 :: Product a). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a (t1 :: Product (m a)). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) Source #
STraversable Sum Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t1 :: a ~> f b) (t2 :: Sum a). SApplicative f => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f :: Type -> Type) a (t1 :: Sum (f a)). SApplicative f => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a (m :: Type -> Type) b (t1 :: a ~> m b) (t2 :: Sum a). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a (t1 :: Sum (m a)). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) Source #
STraversable NonEmpty Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t1 :: a ~> f b) (t2 :: NonEmpty a). SApplicative f => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f :: Type -> Type) a (t1 :: NonEmpty (f a)). SApplicative f => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a (m :: Type -> Type) b (t1 :: a ~> m b) (t2 :: NonEmpty a). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a (t1 :: NonEmpty (m a)). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) Source #
STraversable Maybe Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t1 :: a ~> f b) (t2 :: Maybe a). SApplicative f => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f :: Type -> Type) a (t1 :: Maybe (f a)). SApplicative f => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a (m :: Type -> Type) b (t1 :: a ~> m b) (t2 :: Maybe a). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a (t1 :: Maybe (m a)). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) Source #
STraversable List Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t1 :: a ~> f b) (t2 :: [a]). SApplicative f => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f :: Type -> Type) a (t1 :: [f a]). SApplicative f => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a (m :: Type -> Type) b (t1 :: a ~> m b) (t2 :: [a]). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a (t1 :: [m a]). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) Source #
STraversable (Either a) Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a0 (f :: Type -> Type) b (t1 :: a0 ~> f b) (t2 :: Either a a0). SApplicative f => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f :: Type -> Type) a0 (t1 :: Either a (f a0)). SApplicative f => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a0 (m :: Type -> Type) b (t1 :: a0 ~> m b) (t2 :: Either a a0). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a0 (t1 :: Either a (m a0)). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) Source #
STraversable (Proxy :: Type -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t1 :: a ~> f b) (t2 :: Proxy a). SApplicative f => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f :: Type -> Type) a (t1 :: Proxy (f a)). SApplicative f => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a (m :: Type -> Type) b (t1 :: a ~> m b) (t2 :: Proxy a). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a (t1 :: Proxy (m a)). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) Source #
STraversable (Arg a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sTraverse :: forall a0 (f :: Type -> Type) b (t1 :: a0 ~> f b) (t2 :: Arg a a0). SApplicative f => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f :: Type -> Type) a0 (t1 :: Arg a (f a0)). SApplicative f => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a0 (m :: Type -> Type) b (t1 :: a0 ~> m b) (t2 :: Arg a a0). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a0 (t1 :: Arg a (m a0)). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) Source #
STraversable ((,) a) Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a0 (f :: Type -> Type) b (t1 :: a0 ~> f b) (t2 :: (a, a0)). SApplicative f => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f :: Type -> Type) a0 (t1 :: (a, f a0)). SApplicative f => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a0 (m :: Type -> Type) b (t1 :: a0 ~> m b) (t2 :: (a, a0)). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a0 (t1 :: (a, m a0)). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) Source #
STraversable (Const m :: Type -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t1 :: a ~> f b) (t2 :: Const m a). SApplicative f => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f :: Type -> Type) a (t1 :: Const m (f a)). SApplicative f => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a (m0 :: Type -> Type) b (t1 :: a ~> m0 b) (t2 :: Const m a). SMonad m0 => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m0 :: Type -> Type) a (t1 :: Const m (m0 a)). SMonad m0 => Sing t1 -> Sing (Apply SequenceSym0 t1) 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 (t1 :: a ~> f0 b) (t2 :: Product f g a). SApplicative f0 => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f0 :: Type -> Type) a (t1 :: Product f g (f0 a)). SApplicative f0 => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a (m :: Type -> Type) b (t1 :: a ~> m b) (t2 :: Product f g a). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a (t1 :: Product f g (m a)). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) 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 (t1 :: a ~> f0 b) (t2 :: Sum f g a). SApplicative f0 => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f0 :: Type -> Type) a (t1 :: Sum f g (f0 a)). SApplicative f0 => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a (m :: Type -> Type) b (t1 :: a ~> m b) (t2 :: Sum f g a). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a (t1 :: Sum f g (m a)). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) 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 (t1 :: a ~> f0 b) (t2 :: Compose f g a). SApplicative f0 => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f0 :: Type -> Type) a (t1 :: Compose f g (f0 a)). SApplicative f0 => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a (m :: Type -> Type) b (t1 :: a ~> m b) (t2 :: Compose f g a). SMonad m => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m :: Type -> Type) a (t1 :: Compose f g (m a)). SMonad m => Sing t1 -> Sing (Apply SequenceSym0 t1) Source #

Miscellaneous functions

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

Equations

Id x = x

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

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

Equations

Const x _ = x

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

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

Equations

(f . g) a_6989586621679144168 = Apply (Apply (Apply (Apply Lambda_6989586621679144180Sym0 f) g) a_6989586621679144168) a_6989586621679144168

(%.) :: forall (t :: (~>) b c) (t :: (~>) a b) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply (.@#@$) t) t) t :: c) :: Type 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 (t :: (~>) a ((~>) b c)) (t :: b) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FlipSym0 t) t) t :: c) :: Type Source #

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

Equations

f $ x = Apply f x

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

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

Equations

Until p f a_6989586621679144110 = Apply (Let6989586621679144122GoSym3 p f a_6989586621679144110) a_6989586621679144110

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

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

Equations

AsTypeOf a_6989586621679144147 a_6989586621679144149 = Apply (Apply ConstSym0 a_6989586621679144147) a_6989586621679144149

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

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

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

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

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

The singleton for error.

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

The promotion of errorWithoutStackTrace.

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

The singleton for errorWithoutStackTrace.

type family Undefined :: a 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 (t :: a) (t :: b). Sing t -> Sing t -> Sing (Apply (Apply SeqSym0 t) t :: b) :: Type infixr 0 Source #

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

Equations

f $! x = Apply f (Let6989586621679144138VxSym2 f x)

(%$!) :: forall (t :: (~>) a b) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply ($!@#@$) t) t :: b) :: Type 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 (t :: (~>) a b) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply MapSym0 t) t :: [b]) :: Type 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 (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply (++@#@$) t) t :: [a]) :: Type infixr 5 Source #

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

Equations

Filter _p '[] = NilSym0
Filter p ('(:) x xs) = Case_6989586621679653538 p x xs (Let6989586621679653536Scrutinee_6989586621679650067Sym3 p x xs)

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

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

Equations

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

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

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

Equations

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

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

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

Equations

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

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

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

Equations

Init '[] = Apply ErrorSym0 "Data.Singletons.List.init: empty list"
Init ('(:) x xs) = Apply (Apply (Let6989586621679654281Init'Sym2 x xs) x) xs

sInit :: forall (t :: [a]). Sing t -> Sing (Apply InitSym0 t :: [a]) :: Type 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_6989586621679653145 x xs n (Let6989586621679653143Scrutinee_6989586621679650107Sym3 x xs n)

(%!!) :: forall (t :: [a]) (t :: Natural). Sing t -> Sing t -> Sing (Apply (Apply (!!@#@$) t) t :: a) :: Type 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 :: SFoldable t => forall (t :: t a). Sing t -> Sing (Apply NullSym0 t :: Bool) :: Type 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 :: SFoldable t => forall (t :: t a). Sing t -> Sing (Apply LengthSym0 t :: Natural) :: Type Source #

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

Equations

Reverse l = Apply (Apply (Let6989586621679654265RevSym1 l) l) NilSym0

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

Special folds

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

Equations

And a_6989586621680110420 = Apply (Apply (Apply (.@#@$) GetAllSym0) (Apply FoldMapSym0 All_Sym0)) a_6989586621680110420

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

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

Equations

Or a_6989586621680110414 = Apply (Apply (Apply (.@#@$) GetAnySym0) (Apply FoldMapSym0 Any_Sym0)) a_6989586621680110414

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

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

Equations

Any p a_6989586621680110405 = Apply (Apply (Apply (.@#@$) GetAnySym0) (Apply FoldMapSym0 (Apply (Apply (.@#@$) Any_Sym0) p))) a_6989586621680110405

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

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

Equations

All p a_6989586621680110396 = Apply (Apply (Apply (.@#@$) GetAllSym0) (Apply FoldMapSym0 (Apply (Apply (.@#@$) All_Sym0) p))) a_6989586621680110396

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

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

Equations

Concat xs = Apply (Apply (Apply FoldrSym0 (Apply Lambda_6989586621680110442Sym0 xs)) NilSym0) xs

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

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

Equations

ConcatMap f xs = Apply (Apply (Apply FoldrSym0 (Apply (Apply Lambda_6989586621680110433Sym0 f) xs)) NilSym0) xs

sConcatMap :: forall (t :: (~>) a [b]) (t :: t a). SFoldable t => Sing t -> Sing t -> Sing (Apply (Apply ConcatMapSym0 t) t :: [b]) :: Type 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_6989586621679654074 f q ls ls)

sScanl :: forall (t :: (~>) b ((~>) a b)) (t :: b) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ScanlSym0 t) t) t :: [b]) :: Type 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 (t :: (~>) a ((~>) a a)) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply Scanl1Sym0 t) t :: [a]) :: Type 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_6989586621679654051 f q0 x xs (Let6989586621679654049Scrutinee_6989586621679649997Sym4 f q0 x xs)

sScanr :: forall (t :: (~>) a ((~>) b b)) (t :: b) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ScanrSym0 t) t) t :: [b]) :: Type 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_6989586621679650009 wild_6989586621679650011)) = Case_6989586621679654032 f x wild_6989586621679650009 wild_6989586621679650011 (Let6989586621679654030Scrutinee_6989586621679650003Sym4 f x wild_6989586621679650009 wild_6989586621679650011)

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

Infinite lists

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

Equations

Replicate n x = Case_6989586621679653164 n x (Let6989586621679653162Scrutinee_6989586621679650105Sym2 n x)

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

Sublists

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

Equations

Take _ '[] = NilSym0
Take n ('(:) x xs) = Case_6989586621679653320 n x xs (Let6989586621679653318Scrutinee_6989586621679650089Sym3 n x xs)

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

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

Equations

Drop _ '[] = NilSym0
Drop n ('(:) x xs) = Case_6989586621679653307 n x xs (Let6989586621679653305Scrutinee_6989586621679650091Sym3 n x xs)

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

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

Equations

TakeWhile _ '[] = NilSym0
TakeWhile p ('(:) x xs) = Case_6989586621679653437 p x xs (Let6989586621679653435Scrutinee_6989586621679650079Sym3 p x xs)

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

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

Equations

DropWhile _ '[] = NilSym0
DropWhile p ('(:) x xs') = Case_6989586621679653424 p x xs' (Let6989586621679653422Scrutinee_6989586621679650081Sym3 p x xs')

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

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

Equations

Span _ '[] = Apply (Apply Tuple2Sym0 Let6989586621679653363XsSym0) Let6989586621679653363XsSym0
Span p ('(:) x xs') = Case_6989586621679653372 p x xs' (Let6989586621679653370Scrutinee_6989586621679650085Sym3 p x xs')

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

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

Equations

Break _ '[] = Apply (Apply Tuple2Sym0 Let6989586621679653328XsSym0) Let6989586621679653328XsSym0
Break p ('(:) x xs') = Case_6989586621679653337 p x xs' (Let6989586621679653335Scrutinee_6989586621679650087Sym3 p x xs')

sBreak :: forall (t :: (~>) a Bool) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply BreakSym0 t) t :: ([a], [a])) :: Type 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 (t :: Natural) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply SplitAtSym0 t) t :: ([a], [a])) :: Type Source #

Searching lists

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

Equations

NotElem x a_6989586621680110347 = Apply (Apply (Apply (.@#@$) NotSym0) (Apply ElemSym0 x)) a_6989586621680110347

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

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

Equations

Lookup _key '[] = NothingSym0
Lookup key ('(:) '(x, y) xys) = Case_6989586621679653230 key x y xys (Let6989586621679653228Scrutinee_6989586621679650101Sym4 key x y xys)

sLookup :: forall (t :: a) (t :: [(a, b)]). SEq a => Sing t -> Sing t -> Sing (Apply (Apply LookupSym0 t) t :: Maybe b) :: Type 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 (t :: [a]) (t :: [b]). Sing t -> Sing t -> Sing (Apply (Apply ZipSym0 t) t :: [(a, b)]) :: Type 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 (t :: [a]) (t :: [b]) (t :: [c]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Zip3Sym0 t) t) t :: [(a, b, c)]) :: Type 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 (t :: (~>) a ((~>) b c)) (t :: [a]) (t :: [b]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ZipWithSym0 t) t) t :: [c]) :: Type 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 (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 Source #

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

Equations

Unzip xs = Apply (Apply (Apply FoldrSym0 (Apply Lambda_6989586621679653792Sym0 xs)) (Apply (Apply Tuple2Sym0 NilSym0) NilSym0)) xs

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

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

Equations

Unzip3 xs = Apply (Apply (Apply FoldrSym0 (Apply Lambda_6989586621679653774Sym0 xs)) (Apply (Apply (Apply Tuple3Sym0 NilSym0) NilSym0) NilSym0)) xs

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

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

Equations

Unwords '[] = ""
Unwords ('(:) w ws) = Apply (Apply (<>@#@$) w) (Apply (Let6989586621679653668GoSym2 w ws) ws)

sUnwords :: forall (t :: [Symbol]). Sing t -> Sing (Apply UnwordsSym0 t :: Symbol) :: Type 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_6989586621679965756Sym0 a) a) a

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

type Show_ a = Apply Show__6989586621679965768Sym0 a

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

type ShowList a a = Apply (Apply ShowList_6989586621679965776Sym0 a) a

Instances

Instances details

PShow All Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow Any Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow Void Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow Ordering Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow Natural Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow () Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow Bool Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow Char Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow Symbol Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (Identity a) Source #
Instance details Defined in Data.Functor.Identity.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (First a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (Last a) Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (First a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (NonEmpty a) Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (Maybe a) Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow [a] Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (Either a b) Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (Arg a b) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (a, b) Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (a, b, c) Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (a, b, c, d) Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (a, b, c, d, e) Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (a, b, c, d, e, f) Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
PShow (a, b, c, d, e, f, g) Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: 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) :: Type Source #

default sShowsPrec :: forall (t :: Natural) (t :: a) (t :: Symbol). (Apply (Apply (Apply ShowsPrecSym0 t) t) t :: Symbol) ~ Apply (Apply (Apply ShowsPrec_6989586621679965756Sym0 t) t) t => Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t :: Symbol) :: Type Source #

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

default sShow_ :: forall (t :: a). (Apply Show_Sym0 t :: Symbol) ~ Apply Show__6989586621679965768Sym0 t => Sing t -> Sing (Apply Show_Sym0 t :: Symbol) :: Type Source #

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

default sShowList :: forall (t :: [a]) (t :: Symbol). (Apply (Apply ShowListSym0 t) t :: Symbol) ~ Apply (Apply ShowList_6989586621679965776Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t :: Symbol) :: Type Source #

Instances

Instances details

SShow Bool => SShow All Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: All) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: All). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [All]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow Bool => SShow Any Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Any) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Any). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Any]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow Void Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Void) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Void). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Void]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow Ordering Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Ordering) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Ordering). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Ordering]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow Natural Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Natural) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Natural). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Natural]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow () Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: ()) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: ()). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [()]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow Bool Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Bool) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Bool). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Bool]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow Char Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Char) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Char). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Char]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow Symbol Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Symbol) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Symbol). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Symbol]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow a => SShow (Identity a) Source #
Instance details Defined in Data.Functor.Identity.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Identity a) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Identity a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Identity a]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow (Maybe a) => SShow (First a) Source #
Instance details Defined in Data.Monoid.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: First a) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: First a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [First a]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow (Maybe a) => SShow (Last a) Source #
Instance details Defined in Data.Monoid.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Last a) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Last a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Last a]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow a => SShow (First a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: First a) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: First a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [First a]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow a => SShow (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Last a) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Last a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Last a]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow a => SShow (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Max a) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Max a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Max a]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow a => SShow (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Min a) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Min a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Min a]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow m => SShow (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: WrappedMonoid m) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: WrappedMonoid m). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [WrappedMonoid m]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow a => SShow (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Dual a) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Dual a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Dual a]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow a => SShow (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Product a) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Product a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Product a]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow a => SShow (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Sum a) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Sum a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Sum a]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
(SShow a, SShow [a]) => SShow (NonEmpty a) Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: NonEmpty a) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: NonEmpty a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [NonEmpty a]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow a => SShow (Maybe a) Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Maybe a) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Maybe a). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Maybe a]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow a => SShow [a] Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: [a]) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: [a]). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [[a]]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
(SShow a, SShow b) => SShow (Either a b) Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Either a b) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Either a b). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Either a b]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow (Proxy s) Source #
Instance details Defined in Data.Proxy.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Proxy s) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Proxy s). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Proxy s]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
(SShow a, SShow b) => SShow (Arg a b) Source #
Instance details Defined in Data.Semigroup.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Arg a b) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Arg a b). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Arg a b]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
(SShow a, SShow b) => SShow (a, b) Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: (a, b)) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: (a, b)). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [(a, b)]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SShow a => SShow (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Const a b) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Const a b). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Const a b]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
(SShow a, SShow b, SShow c) => SShow (a, b, c) Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: (a, b, c)) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: (a, b, c)). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [(a, b, c)]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) 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 (t1 :: Natural) (t2 :: (a, b, c, d)) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: (a, b, c, d)). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [(a, b, c, d)]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) 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 (t1 :: Natural) (t2 :: (a, b, c, d, e)) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: (a, b, c, d, e)). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [(a, b, c, d, e)]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) 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 (t1 :: Natural) (t2 :: (a, b, c, d, e, f)) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: (a, b, c, d, e, f)). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [(a, b, c, d, e, f)]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) 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 (t1 :: Natural) (t2 :: (a, b, c, d, e, f, g)) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: (a, b, c, d, e, f, g)). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [(a, b, c, d, e, f, g)]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #

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

Equations

Shows s a_6989586621679965729 = Apply (Apply (Apply ShowsPrecSym0 (FromInteger 0)) s) a_6989586621679965729

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

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

Equations

ShowChar a_6989586621679965701 a_6989586621679965703 = Apply (Apply ConsSymbolSym0 a_6989586621679965701) a_6989586621679965703

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

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

Equations

ShowString a_6989586621679965690 a_6989586621679965692 = Apply (Apply (<>@#@$) a_6989586621679965690) a_6989586621679965692

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

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

Equations

ShowParen b p a_6989586621679965675 = Apply (Case_6989586621679965687 b p a_6989586621679965675 b) a_6989586621679965675

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 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) (a6989586621679106255 :: Bool) Source #
Instance details Defined in Data.Bool.Singletons type Apply (IfSym0 :: TyFun Bool (k ~> (k ~> k)) -> Type) (a6989586621679106255 :: Bool) = IfSym1 a6989586621679106255 :: TyFun k (k ~> k) -> Type

data IfSym1 (a6989586621679106255 :: 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 a6989586621679106255 :: TyFun k (k ~> k) -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply (IfSym1 a6989586621679106255 :: TyFun k (k ~> k) -> Type) (a6989586621679106256 :: k) Source #
Instance details Defined in Data.Bool.Singletons type Apply (IfSym1 a6989586621679106255 :: TyFun k (k ~> k) -> Type) (a6989586621679106256 :: k) = IfSym2 a6989586621679106255 a6989586621679106256

data IfSym2 (a6989586621679106255 :: Bool) (a6989586621679106256 :: 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 a6989586621679106255 a6989586621679106256 :: TyFun k k -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply (IfSym2 a6989586621679106255 a6989586621679106256 :: TyFun k k -> Type) (a6989586621679106257 :: k) Source #
Instance details Defined in Data.Bool.Singletons type Apply (IfSym2 a6989586621679106255 a6989586621679106256 :: TyFun k k -> Type) (a6989586621679106257 :: k) = If a6989586621679106255 a6989586621679106256 a6989586621679106257

type family IfSym3 (a6989586621679106255 :: Bool) (a6989586621679106256 :: k) (a6989586621679106257 :: k) :: k where ... Source #

Equations

IfSym3 a6989586621679106255 a6989586621679106256 a6989586621679106257 = If a6989586621679106255 a6989586621679106256 a6989586621679106257

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

Instances

Instances details

SingI (&&@#@$) Source #
Instance details Defined in Data.Bool.Singletons Methods sing :: Sing (&&@#@$) #
SuppressUnusedWarnings (&&@#@$) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply (&&@#@$) (a6989586621679105336 :: Bool) Source #
Instance details Defined in Data.Bool.Singletons type Apply (&&@#@$) (a6989586621679105336 :: Bool) = (&&@#@$$) a6989586621679105336

data (&&@#@$$) (a6989586621679105336 :: 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 ((&&@#@$$) a6989586621679105336 :: TyFun Bool Bool -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((&&@#@$$) a6989586621679105336 :: TyFun Bool Bool -> Type) (a6989586621679105337 :: Bool) Source #
Instance details Defined in Data.Bool.Singletons type Apply ((&&@#@$$) a6989586621679105336 :: TyFun Bool Bool -> Type) (a6989586621679105337 :: Bool) = a6989586621679105336 && a6989586621679105337

type family (a6989586621679105336 :: Bool) &&@#@$$$ (a6989586621679105337 :: Bool) :: Bool where ... infixr 3 Source #

Equations

a6989586621679105336 &&@#@$$$ a6989586621679105337 = (&&) a6989586621679105336 a6989586621679105337

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

Instances

Instances details

SingI (\|\|@#@$) Source #
Instance details Defined in Data.Bool.Singletons Methods sing :: Sing (\|\|@#@$) #
SuppressUnusedWarnings (\|\|@#@$) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply (\|\|@#@$) (a6989586621679105694 :: Bool) Source #
Instance details Defined in Data.Bool.Singletons type Apply (\|\|@#@$) (a6989586621679105694 :: Bool) = (\|\|@#@$$) a6989586621679105694

data (||@#@$$) (a6989586621679105694 :: 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 ((\|\|@#@$$) a6989586621679105694 :: TyFun Bool Bool -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((\|\|@#@$$) a6989586621679105694 :: TyFun Bool Bool -> Type) (a6989586621679105695 :: Bool) Source #
Instance details Defined in Data.Bool.Singletons type Apply ((\|\|@#@$$) a6989586621679105694 :: TyFun Bool Bool -> Type) (a6989586621679105695 :: Bool) = a6989586621679105694 \|\| a6989586621679105695

type family (a6989586621679105694 :: Bool) ||@#@$$$ (a6989586621679105695 :: Bool) :: Bool where ... infixr 2 Source #

Equations

a6989586621679105694 ||@#@$$$ a6989586621679105695 = (||) a6989586621679105694 a6989586621679105695

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 (a6989586621679106035 :: Bool) Source #
Instance details Defined in Data.Bool.Singletons type Apply NotSym0 (a6989586621679106035 :: Bool) = Not a6989586621679106035

type family NotSym1 (a6989586621679106035 :: Bool) :: Bool where ... Source #

Equations

NotSym1 a6989586621679106035 = Not a6989586621679106035

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) (a6989586621679037528 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (JustSym0 :: TyFun a (Maybe a) -> Type) (a6989586621679037528 :: a) = 'Just a6989586621679037528

type family JustSym1 (a6989586621679037528 :: a) :: Maybe (a :: Type) where ... Source #

Equations

JustSym1 a6989586621679037528 = 'Just a6989586621679037528

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) (a6989586621679466255 :: b) Source #
Instance details Defined in Data.Maybe.Singletons type Apply (Maybe_Sym0 :: TyFun b ((a ~> b) ~> (Maybe a ~> b)) -> Type) (a6989586621679466255 :: b) = Maybe_Sym1 a6989586621679466255 :: TyFun (a ~> b) (Maybe a ~> b) -> Type

data Maybe_Sym1 (a6989586621679466255 :: 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 a6989586621679466255 :: TyFun (a ~> b) (Maybe a ~> b) -> Type) Source #
Instance details Defined in Data.Maybe.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Maybe_Sym1 a6989586621679466255 :: TyFun (a ~> b) (Maybe a ~> b) -> Type) (a6989586621679466256 :: a ~> b) Source #
Instance details Defined in Data.Maybe.Singletons type Apply (Maybe_Sym1 a6989586621679466255 :: TyFun (a ~> b) (Maybe a ~> b) -> Type) (a6989586621679466256 :: a ~> b) = Maybe_Sym2 a6989586621679466255 a6989586621679466256

data Maybe_Sym2 (a6989586621679466255 :: b) (a6989586621679466256 :: (~>) 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 a6989586621679466255 a6989586621679466256 :: TyFun (Maybe a) b -> Type) Source #
Instance details Defined in Data.Maybe.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Maybe_Sym2 a6989586621679466255 a6989586621679466256 :: TyFun (Maybe a) b -> Type) (a6989586621679466257 :: Maybe a) Source #
Instance details Defined in Data.Maybe.Singletons type Apply (Maybe_Sym2 a6989586621679466255 a6989586621679466256 :: TyFun (Maybe a) b -> Type) (a6989586621679466257 :: Maybe a) = Maybe_ a6989586621679466255 a6989586621679466256 a6989586621679466257

type family Maybe_Sym3 (a6989586621679466255 :: b) (a6989586621679466256 :: (~>) a b) (a6989586621679466257 :: Maybe a) :: b where ... Source #

Equations

Maybe_Sym3 a6989586621679466255 a6989586621679466256 a6989586621679466257 = Maybe_ a6989586621679466255 a6989586621679466256 a6989586621679466257

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) (a6989586621679037600 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (LeftSym0 :: TyFun a (Either a b) -> Type) (a6989586621679037600 :: a) = 'Left a6989586621679037600 :: Either a b

type family LeftSym1 (a6989586621679037600 :: a) :: Either (a :: Type) (b :: Type) where ... Source #

Equations

LeftSym1 a6989586621679037600 = 'Left a6989586621679037600

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) (a6989586621679037602 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (RightSym0 :: TyFun b (Either a b) -> Type) (a6989586621679037602 :: b) = 'Right a6989586621679037602 :: Either a b

type family RightSym1 (a6989586621679037602 :: b) :: Either (a :: Type) (b :: Type) where ... Source #

Equations

RightSym1 a6989586621679037602 = 'Right a6989586621679037602

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) (a6989586621679264752 :: a ~> c) Source #
Instance details Defined in Data.Either.Singletons type Apply (Either_Sym0 :: TyFun (a ~> c) ((b ~> c) ~> (Either a b ~> c)) -> Type) (a6989586621679264752 :: a ~> c) = Either_Sym1 a6989586621679264752 :: TyFun (b ~> c) (Either a b ~> c) -> Type

data Either_Sym1 (a6989586621679264752 :: (~>) 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 a6989586621679264752 :: TyFun (b ~> c) (Either a b ~> c) -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Either_Sym1 a6989586621679264752 :: TyFun (b ~> c) (Either a b ~> c) -> Type) (a6989586621679264753 :: b ~> c) Source #
Instance details Defined in Data.Either.Singletons type Apply (Either_Sym1 a6989586621679264752 :: TyFun (b ~> c) (Either a b ~> c) -> Type) (a6989586621679264753 :: b ~> c) = Either_Sym2 a6989586621679264752 a6989586621679264753

data Either_Sym2 (a6989586621679264752 :: (~>) a c) (a6989586621679264753 :: (~>) 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 a6989586621679264752 a6989586621679264753 :: TyFun (Either a b) c -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Either_Sym2 a6989586621679264752 a6989586621679264753 :: TyFun (Either a b) c -> Type) (a6989586621679264754 :: Either a b) Source #
Instance details Defined in Data.Either.Singletons type Apply (Either_Sym2 a6989586621679264752 a6989586621679264753 :: TyFun (Either a b) c -> Type) (a6989586621679264754 :: Either a b) = Either_ a6989586621679264752 a6989586621679264753 a6989586621679264754

type family Either_Sym3 (a6989586621679264752 :: (~>) a c) (a6989586621679264753 :: (~>) b c) (a6989586621679264754 :: Either a b) :: c where ... Source #

Equations

Either_Sym3 a6989586621679264752 a6989586621679264753 a6989586621679264754 = Either_ a6989586621679264752 a6989586621679264753 a6989586621679264754

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) (a6989586621679037552 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply ((:@#@$) :: TyFun a ([a] ~> [a]) -> Type) (a6989586621679037552 :: a) = (:@#@$$) a6989586621679037552

data (:@#@$$) (a6989586621679037552 :: 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 ((:@#@$$) a6989586621679037552 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply ((:@#@$$) a6989586621679037552 :: TyFun [a] [a] -> Type) (a6989586621679037553 :: [a]) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply ((:@#@$$) a6989586621679037552 :: TyFun [a] [a] -> Type) (a6989586621679037553 :: [a]) = a6989586621679037552 ': a6989586621679037553

type family (a6989586621679037552 :: a) :@#@$$$ (a6989586621679037553 :: [a]) :: [a :: Type] where ... infixr 5 Source #

Equations

a6989586621679037552 :@#@$$$ a6989586621679037553 = '(:) a6989586621679037552 a6989586621679037553

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) (a6989586621679038044 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple2Sym0 :: TyFun a (b ~> (a, b)) -> Type) (a6989586621679038044 :: a) = Tuple2Sym1 a6989586621679038044 :: TyFun b (a, b) -> Type

data Tuple2Sym1 (a6989586621679038044 :: 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 a6989586621679038044 :: TyFun b (a, b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple2Sym1 a6989586621679038044 :: TyFun k2 (k1, k2) -> Type) (a6989586621679038045 :: k2) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple2Sym1 a6989586621679038044 :: TyFun k2 (k1, k2) -> Type) (a6989586621679038045 :: k2) = '(a6989586621679038044, a6989586621679038045)

type family Tuple2Sym2 (a6989586621679038044 :: a) (a6989586621679038045 :: b) :: (a :: Type, b :: Type) where ... Source #

Equations

Tuple2Sym2 a6989586621679038044 a6989586621679038045 = '(a6989586621679038044, a6989586621679038045)

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) (a6989586621679038075 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple3Sym0 :: TyFun a (b ~> (c ~> (a, b, c))) -> Type) (a6989586621679038075 :: a) = Tuple3Sym1 a6989586621679038075 :: TyFun b (c ~> (a, b, c)) -> Type

data Tuple3Sym1 (a6989586621679038075 :: 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 a6989586621679038075 :: TyFun b (c ~> (a, b, c)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple3Sym1 a6989586621679038075 :: TyFun b (c ~> (a, b, c)) -> Type) (a6989586621679038076 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple3Sym1 a6989586621679038075 :: TyFun b (c ~> (a, b, c)) -> Type) (a6989586621679038076 :: b) = Tuple3Sym2 a6989586621679038075 a6989586621679038076 :: TyFun c (a, b, c) -> Type

data Tuple3Sym2 (a6989586621679038075 :: a) (a6989586621679038076 :: 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 a6989586621679038075 a6989586621679038076 :: TyFun c (a, b, c) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple3Sym2 a6989586621679038075 a6989586621679038076 :: TyFun k3 (k1, k2, k3) -> Type) (a6989586621679038077 :: k3) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple3Sym2 a6989586621679038075 a6989586621679038076 :: TyFun k3 (k1, k2, k3) -> Type) (a6989586621679038077 :: k3) = '(a6989586621679038075, a6989586621679038076, a6989586621679038077)

type family Tuple3Sym3 (a6989586621679038075 :: a) (a6989586621679038076 :: b) (a6989586621679038077 :: c) :: (a :: Type, b :: Type, c :: Type) where ... Source #

Equations

Tuple3Sym3 a6989586621679038075 a6989586621679038076 a6989586621679038077 = '(a6989586621679038075, a6989586621679038076, a6989586621679038077)

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) (a6989586621679038124 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple4Sym0 :: TyFun a (b ~> (c ~> (d ~> (a, b, c, d)))) -> Type) (a6989586621679038124 :: a) = Tuple4Sym1 a6989586621679038124 :: TyFun b (c ~> (d ~> (a, b, c, d))) -> Type

data Tuple4Sym1 (a6989586621679038124 :: 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 a6989586621679038124 :: TyFun b (c ~> (d ~> (a, b, c, d))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple4Sym1 a6989586621679038124 :: TyFun b (c ~> (d ~> (a, b, c, d))) -> Type) (a6989586621679038125 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple4Sym1 a6989586621679038124 :: TyFun b (c ~> (d ~> (a, b, c, d))) -> Type) (a6989586621679038125 :: b) = Tuple4Sym2 a6989586621679038124 a6989586621679038125 :: TyFun c (d ~> (a, b, c, d)) -> Type

data Tuple4Sym2 (a6989586621679038124 :: a) (a6989586621679038125 :: 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 a6989586621679038124 a6989586621679038125 :: TyFun c (d ~> (a, b, c, d)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple4Sym2 a6989586621679038124 a6989586621679038125 :: TyFun c (d ~> (a, b, c, d)) -> Type) (a6989586621679038126 :: c) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple4Sym2 a6989586621679038124 a6989586621679038125 :: TyFun c (d ~> (a, b, c, d)) -> Type) (a6989586621679038126 :: c) = Tuple4Sym3 a6989586621679038124 a6989586621679038125 a6989586621679038126 :: TyFun d (a, b, c, d) -> Type

data Tuple4Sym3 (a6989586621679038124 :: a) (a6989586621679038125 :: b) (a6989586621679038126 :: 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 a6989586621679038124 a6989586621679038125 a6989586621679038126 :: TyFun d (a, b, c, d) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple4Sym3 a6989586621679038124 a6989586621679038125 a6989586621679038126 :: TyFun k4 (k1, k2, k3, k4) -> Type) (a6989586621679038127 :: k4) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple4Sym3 a6989586621679038124 a6989586621679038125 a6989586621679038126 :: TyFun k4 (k1, k2, k3, k4) -> Type) (a6989586621679038127 :: k4) = '(a6989586621679038124, a6989586621679038125, a6989586621679038126, a6989586621679038127)

type family Tuple4Sym4 (a6989586621679038124 :: a) (a6989586621679038125 :: b) (a6989586621679038126 :: c) (a6989586621679038127 :: d) :: (a :: Type, b :: Type, c :: Type, d :: Type) where ... Source #

Equations

Tuple4Sym4 a6989586621679038124 a6989586621679038125 a6989586621679038126 a6989586621679038127 = '(a6989586621679038124, a6989586621679038125, a6989586621679038126, a6989586621679038127)

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) (a6989586621679038193 :: 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) (a6989586621679038193 :: a) = Tuple5Sym1 a6989586621679038193 :: TyFun b (c ~> (d ~> (e ~> (a, b, c, d, e)))) -> Type

data Tuple5Sym1 (a6989586621679038193 :: 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 a6989586621679038193 :: 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 a6989586621679038193 :: TyFun b (c ~> (d ~> (e ~> (a, b, c, d, e)))) -> Type) (a6989586621679038194 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple5Sym1 a6989586621679038193 :: TyFun b (c ~> (d ~> (e ~> (a, b, c, d, e)))) -> Type) (a6989586621679038194 :: b) = Tuple5Sym2 a6989586621679038193 a6989586621679038194 :: TyFun c (d ~> (e ~> (a, b, c, d, e))) -> Type

data Tuple5Sym2 (a6989586621679038193 :: a) (a6989586621679038194 :: 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 a6989586621679038193 a6989586621679038194 :: TyFun c (d ~> (e ~> (a, b, c, d, e))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple5Sym2 a6989586621679038193 a6989586621679038194 :: TyFun c (d ~> (e ~> (a, b, c, d, e))) -> Type) (a6989586621679038195 :: c) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple5Sym2 a6989586621679038193 a6989586621679038194 :: TyFun c (d ~> (e ~> (a, b, c, d, e))) -> Type) (a6989586621679038195 :: c) = Tuple5Sym3 a6989586621679038193 a6989586621679038194 a6989586621679038195 :: TyFun d (e ~> (a, b, c, d, e)) -> Type

data Tuple5Sym3 (a6989586621679038193 :: a) (a6989586621679038194 :: b) (a6989586621679038195 :: 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 a6989586621679038193 a6989586621679038194 a6989586621679038195 :: TyFun d (e ~> (a, b, c, d, e)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple5Sym3 a6989586621679038193 a6989586621679038194 a6989586621679038195 :: TyFun d (e ~> (a, b, c, d, e)) -> Type) (a6989586621679038196 :: d) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple5Sym3 a6989586621679038193 a6989586621679038194 a6989586621679038195 :: TyFun d (e ~> (a, b, c, d, e)) -> Type) (a6989586621679038196 :: d) = Tuple5Sym4 a6989586621679038193 a6989586621679038194 a6989586621679038195 a6989586621679038196 :: TyFun e (a, b, c, d, e) -> Type

data Tuple5Sym4 (a6989586621679038193 :: a) (a6989586621679038194 :: b) (a6989586621679038195 :: c) (a6989586621679038196 :: 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 a6989586621679038193 a6989586621679038194 a6989586621679038195 a6989586621679038196 :: TyFun e (a, b, c, d, e) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple5Sym4 a6989586621679038193 a6989586621679038194 a6989586621679038195 a6989586621679038196 :: TyFun k5 (k1, k2, k3, k4, k5) -> Type) (a6989586621679038197 :: k5) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple5Sym4 a6989586621679038193 a6989586621679038194 a6989586621679038195 a6989586621679038196 :: TyFun k5 (k1, k2, k3, k4, k5) -> Type) (a6989586621679038197 :: k5) = '(a6989586621679038193, a6989586621679038194, a6989586621679038195, a6989586621679038196, a6989586621679038197)

type family Tuple5Sym5 (a6989586621679038193 :: a) (a6989586621679038194 :: b) (a6989586621679038195 :: c) (a6989586621679038196 :: d) (a6989586621679038197 :: e) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type) where ... Source #

Equations

Tuple5Sym5 a6989586621679038193 a6989586621679038194 a6989586621679038195 a6989586621679038196 a6989586621679038197 = '(a6989586621679038193, a6989586621679038194, a6989586621679038195, a6989586621679038196, a6989586621679038197)

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) (a6989586621679038284 :: 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) (a6989586621679038284 :: a) = Tuple6Sym1 a6989586621679038284 :: TyFun b (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f))))) -> Type

data Tuple6Sym1 (a6989586621679038284 :: 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 a6989586621679038284 :: 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 a6989586621679038284 :: TyFun b (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f))))) -> Type) (a6989586621679038285 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym1 a6989586621679038284 :: TyFun b (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f))))) -> Type) (a6989586621679038285 :: b) = Tuple6Sym2 a6989586621679038284 a6989586621679038285 :: TyFun c (d ~> (e ~> (f ~> (a, b, c, d, e, f)))) -> Type

data Tuple6Sym2 (a6989586621679038284 :: a) (a6989586621679038285 :: 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 a6989586621679038284 a6989586621679038285 :: 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 a6989586621679038284 a6989586621679038285 :: TyFun c (d ~> (e ~> (f ~> (a, b, c, d, e, f)))) -> Type) (a6989586621679038286 :: c) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym2 a6989586621679038284 a6989586621679038285 :: TyFun c (d ~> (e ~> (f ~> (a, b, c, d, e, f)))) -> Type) (a6989586621679038286 :: c) = Tuple6Sym3 a6989586621679038284 a6989586621679038285 a6989586621679038286 :: TyFun d (e ~> (f ~> (a, b, c, d, e, f))) -> Type

data Tuple6Sym3 (a6989586621679038284 :: a) (a6989586621679038285 :: b) (a6989586621679038286 :: 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 a6989586621679038284 a6989586621679038285 a6989586621679038286 :: 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 a6989586621679038284 a6989586621679038285 a6989586621679038286 :: TyFun d (e ~> (f ~> (a, b, c, d, e, f))) -> Type) (a6989586621679038287 :: d) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym3 a6989586621679038284 a6989586621679038285 a6989586621679038286 :: TyFun d (e ~> (f ~> (a, b, c, d, e, f))) -> Type) (a6989586621679038287 :: d) = Tuple6Sym4 a6989586621679038284 a6989586621679038285 a6989586621679038286 a6989586621679038287 :: TyFun e (f ~> (a, b, c, d, e, f)) -> Type

data Tuple6Sym4 (a6989586621679038284 :: a) (a6989586621679038285 :: b) (a6989586621679038286 :: c) (a6989586621679038287 :: 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 a6989586621679038284 a6989586621679038285 a6989586621679038286 a6989586621679038287 :: TyFun e (f ~> (a, b, c, d, e, f)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple6Sym4 a6989586621679038284 a6989586621679038285 a6989586621679038286 a6989586621679038287 :: TyFun e (f ~> (a, b, c, d, e, f)) -> Type) (a6989586621679038288 :: e) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym4 a6989586621679038284 a6989586621679038285 a6989586621679038286 a6989586621679038287 :: TyFun e (f ~> (a, b, c, d, e, f)) -> Type) (a6989586621679038288 :: e) = Tuple6Sym5 a6989586621679038284 a6989586621679038285 a6989586621679038286 a6989586621679038287 a6989586621679038288 :: TyFun f (a, b, c, d, e, f) -> Type

data Tuple6Sym5 (a6989586621679038284 :: a) (a6989586621679038285 :: b) (a6989586621679038286 :: c) (a6989586621679038287 :: d) (a6989586621679038288 :: 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 a6989586621679038284 a6989586621679038285 a6989586621679038286 a6989586621679038287 a6989586621679038288 :: TyFun f (a, b, c, d, e, f) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple6Sym5 a6989586621679038284 a6989586621679038285 a6989586621679038286 a6989586621679038287 a6989586621679038288 :: TyFun k6 (k1, k2, k3, k4, k5, k6) -> Type) (a6989586621679038289 :: k6) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym5 a6989586621679038284 a6989586621679038285 a6989586621679038286 a6989586621679038287 a6989586621679038288 :: TyFun k6 (k1, k2, k3, k4, k5, k6) -> Type) (a6989586621679038289 :: k6) = '(a6989586621679038284, a6989586621679038285, a6989586621679038286, a6989586621679038287, a6989586621679038288, a6989586621679038289)

type family Tuple6Sym6 (a6989586621679038284 :: a) (a6989586621679038285 :: b) (a6989586621679038286 :: c) (a6989586621679038287 :: d) (a6989586621679038288 :: e) (a6989586621679038289 :: f) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type) where ... Source #

Equations

Tuple6Sym6 a6989586621679038284 a6989586621679038285 a6989586621679038286 a6989586621679038287 a6989586621679038288 a6989586621679038289 = '(a6989586621679038284, a6989586621679038285, a6989586621679038286, a6989586621679038287, a6989586621679038288, a6989586621679038289)

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) (a6989586621679038399 :: 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) (a6989586621679038399 :: a) = Tuple7Sym1 a6989586621679038399 :: TyFun b (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))))) -> Type

data Tuple7Sym1 (a6989586621679038399 :: 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 a6989586621679038399 :: 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 a6989586621679038399 :: TyFun b (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))))) -> Type) (a6989586621679038400 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym1 a6989586621679038399 :: TyFun b (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))))) -> Type) (a6989586621679038400 :: b) = Tuple7Sym2 a6989586621679038399 a6989586621679038400 :: TyFun c (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))) -> Type

data Tuple7Sym2 (a6989586621679038399 :: a) (a6989586621679038400 :: 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 a6989586621679038399 a6989586621679038400 :: 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 a6989586621679038399 a6989586621679038400 :: TyFun c (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))) -> Type) (a6989586621679038401 :: c) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym2 a6989586621679038399 a6989586621679038400 :: TyFun c (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))) -> Type) (a6989586621679038401 :: c) = Tuple7Sym3 a6989586621679038399 a6989586621679038400 a6989586621679038401 :: TyFun d (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))) -> Type

data Tuple7Sym3 (a6989586621679038399 :: a) (a6989586621679038400 :: b) (a6989586621679038401 :: 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 a6989586621679038399 a6989586621679038400 a6989586621679038401 :: 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 a6989586621679038399 a6989586621679038400 a6989586621679038401 :: TyFun d (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))) -> Type) (a6989586621679038402 :: d) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym3 a6989586621679038399 a6989586621679038400 a6989586621679038401 :: TyFun d (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))) -> Type) (a6989586621679038402 :: d) = Tuple7Sym4 a6989586621679038399 a6989586621679038400 a6989586621679038401 a6989586621679038402 :: TyFun e (f ~> (g ~> (a, b, c, d, e, f, g))) -> Type

data Tuple7Sym4 (a6989586621679038399 :: a) (a6989586621679038400 :: b) (a6989586621679038401 :: c) (a6989586621679038402 :: 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 a6989586621679038399 a6989586621679038400 a6989586621679038401 a6989586621679038402 :: 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 a6989586621679038399 a6989586621679038400 a6989586621679038401 a6989586621679038402 :: TyFun e (f ~> (g ~> (a, b, c, d, e, f, g))) -> Type) (a6989586621679038403 :: e) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym4 a6989586621679038399 a6989586621679038400 a6989586621679038401 a6989586621679038402 :: TyFun e (f ~> (g ~> (a, b, c, d, e, f, g))) -> Type) (a6989586621679038403 :: e) = Tuple7Sym5 a6989586621679038399 a6989586621679038400 a6989586621679038401 a6989586621679038402 a6989586621679038403 :: TyFun f (g ~> (a, b, c, d, e, f, g)) -> Type

data Tuple7Sym5 (a6989586621679038399 :: a) (a6989586621679038400 :: b) (a6989586621679038401 :: c) (a6989586621679038402 :: d) (a6989586621679038403 :: 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 a6989586621679038399 a6989586621679038400 a6989586621679038401 a6989586621679038402 a6989586621679038403 :: 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 a6989586621679038399 a6989586621679038400 a6989586621679038401 a6989586621679038402 a6989586621679038403 :: TyFun f (g ~> (a, b, c, d, e, f, g)) -> Type) (a6989586621679038404 :: f) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym5 a6989586621679038399 a6989586621679038400 a6989586621679038401 a6989586621679038402 a6989586621679038403 :: TyFun f (g ~> (a, b, c, d, e, f, g)) -> Type) (a6989586621679038404 :: f) = Tuple7Sym6 a6989586621679038399 a6989586621679038400 a6989586621679038401 a6989586621679038402 a6989586621679038403 a6989586621679038404 :: TyFun g (a, b, c, d, e, f, g) -> Type

data Tuple7Sym6 (a6989586621679038399 :: a) (a6989586621679038400 :: b) (a6989586621679038401 :: c) (a6989586621679038402 :: d) (a6989586621679038403 :: e) (a6989586621679038404 :: 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 a6989586621679038399 a6989586621679038400 a6989586621679038401 a6989586621679038402 a6989586621679038403 a6989586621679038404 :: TyFun g (a, b, c, d, e, f, g) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple7Sym6 a6989586621679038399 a6989586621679038400 a6989586621679038401 a6989586621679038402 a6989586621679038403 a6989586621679038404 :: TyFun k7 (k1, k2, k3, k4, k5, k6, k7) -> Type) (a6989586621679038405 :: k7) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym6 a6989586621679038399 a6989586621679038400 a6989586621679038401 a6989586621679038402 a6989586621679038403 a6989586621679038404 :: TyFun k7 (k1, k2, k3, k4, k5, k6, k7) -> Type) (a6989586621679038405 :: k7) = '(a6989586621679038399, a6989586621679038400, a6989586621679038401, a6989586621679038402, a6989586621679038403, a6989586621679038404, a6989586621679038405)

type family Tuple7Sym7 (a6989586621679038399 :: a) (a6989586621679038400 :: b) (a6989586621679038401 :: c) (a6989586621679038402 :: d) (a6989586621679038403 :: e) (a6989586621679038404 :: f) (a6989586621679038405 :: g) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type) where ... Source #

Equations

Tuple7Sym7 a6989586621679038399 a6989586621679038400 a6989586621679038401 a6989586621679038402 a6989586621679038403 a6989586621679038404 a6989586621679038405 = '(a6989586621679038399, a6989586621679038400, a6989586621679038401, a6989586621679038402, a6989586621679038403, a6989586621679038404, a6989586621679038405)

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) (a6989586621679137835 :: (a, b)) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (FstSym0 :: TyFun (a, b) a -> Type) (a6989586621679137835 :: (a, b)) = Fst a6989586621679137835

type family FstSym1 (a6989586621679137835 :: (a, b)) :: a where ... Source #

Equations

FstSym1 a6989586621679137835 = Fst a6989586621679137835

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) (a6989586621679137831 :: (a, b)) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (SndSym0 :: TyFun (a, b) b -> Type) (a6989586621679137831 :: (a, b)) = Snd a6989586621679137831

type family SndSym1 (a6989586621679137831 :: (a, b)) :: b where ... Source #

Equations

SndSym1 a6989586621679137831 = Snd a6989586621679137831

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) (a6989586621679137823 :: (a, b) ~> c) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (CurrySym0 :: TyFun ((a, b) ~> c) (a ~> (b ~> c)) -> Type) (a6989586621679137823 :: (a, b) ~> c) = CurrySym1 a6989586621679137823

data CurrySym1 (a6989586621679137823 :: (~>) (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 a6989586621679137823 :: TyFun a (b ~> c) -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (CurrySym1 a6989586621679137823 :: TyFun a (b ~> c) -> Type) (a6989586621679137824 :: a) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (CurrySym1 a6989586621679137823 :: TyFun a (b ~> c) -> Type) (a6989586621679137824 :: a) = CurrySym2 a6989586621679137823 a6989586621679137824

data CurrySym2 (a6989586621679137823 :: (~>) (a, b) c) (a6989586621679137824 :: 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 a6989586621679137823 a6989586621679137824 :: TyFun b c -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (CurrySym2 a6989586621679137823 a6989586621679137824 :: TyFun b c -> Type) (a6989586621679137825 :: b) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (CurrySym2 a6989586621679137823 a6989586621679137824 :: TyFun b c -> Type) (a6989586621679137825 :: b) = Curry a6989586621679137823 a6989586621679137824 a6989586621679137825

type family CurrySym3 (a6989586621679137823 :: (~>) (a, b) c) (a6989586621679137824 :: a) (a6989586621679137825 :: b) :: c where ... Source #

Equations

CurrySym3 a6989586621679137823 a6989586621679137824 a6989586621679137825 = Curry a6989586621679137823 a6989586621679137824 a6989586621679137825

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) (a6989586621679137815 :: a ~> (b ~> c)) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (UncurrySym0 :: TyFun (a ~> (b ~> c)) ((a, b) ~> c) -> Type) (a6989586621679137815 :: a ~> (b ~> c)) = UncurrySym1 a6989586621679137815

data UncurrySym1 (a6989586621679137815 :: (~>) 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 a6989586621679137815 :: TyFun (a, b) c -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (UncurrySym1 a6989586621679137815 :: TyFun (a, b) c -> Type) (a6989586621679137816 :: (a, b)) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (UncurrySym1 a6989586621679137815 :: TyFun (a, b) c -> Type) (a6989586621679137816 :: (a, b)) = Uncurry a6989586621679137815 a6989586621679137816

type family UncurrySym2 (a6989586621679137815 :: (~>) a ((~>) b c)) (a6989586621679137816 :: (a, b)) :: c where ... Source #

Equations

UncurrySym2 a6989586621679137815 a6989586621679137816 = Uncurry a6989586621679137815 a6989586621679137816

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) (a6989586621679109583 :: a) Source #
Instance details Defined in Data.Eq.Singletons type Apply ((==@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679109583 :: a) = (==@#@$$) a6989586621679109583

data (==@#@$$) (a6989586621679109583 :: 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 ((==@#@$$) a6989586621679109583 :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Eq.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((==@#@$$) a6989586621679109583 :: TyFun a Bool -> Type) (a6989586621679109584 :: a) Source #
Instance details Defined in Data.Eq.Singletons type Apply ((==@#@$$) a6989586621679109583 :: TyFun a Bool -> Type) (a6989586621679109584 :: a) = a6989586621679109583 == a6989586621679109584

type family (a6989586621679109583 :: a) ==@#@$$$ (a6989586621679109584 :: a) :: Bool where ... infix 4 Source #

Equations

a6989586621679109583 ==@#@$$$ a6989586621679109584 = (==) a6989586621679109583 a6989586621679109584

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) (a6989586621679109588 :: a) Source #
Instance details Defined in Data.Eq.Singletons type Apply ((/=@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679109588 :: a) = (/=@#@$$) a6989586621679109588

data (/=@#@$$) (a6989586621679109588 :: 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 ((/=@#@$$) a6989586621679109588 :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Eq.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((/=@#@$$) a6989586621679109588 :: TyFun a Bool -> Type) (a6989586621679109589 :: a) Source #
Instance details Defined in Data.Eq.Singletons type Apply ((/=@#@$$) a6989586621679109588 :: TyFun a Bool -> Type) (a6989586621679109589 :: a) = a6989586621679109588 /= a6989586621679109589

type family (a6989586621679109588 :: a) /=@#@$$$ (a6989586621679109589 :: a) :: Bool where ... infix 4 Source #

Equations

a6989586621679109588 /=@#@$$$ a6989586621679109589 = (/=) a6989586621679109588 a6989586621679109589

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) (a6989586621679190369 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply (CompareSym0 :: TyFun a (a ~> Ordering) -> Type) (a6989586621679190369 :: a) = CompareSym1 a6989586621679190369

data CompareSym1 (a6989586621679190369 :: 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 a6989586621679190369 :: TyFun a Ordering -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply (CompareSym1 a6989586621679190369 :: TyFun a Ordering -> Type) (a6989586621679190370 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply (CompareSym1 a6989586621679190369 :: TyFun a Ordering -> Type) (a6989586621679190370 :: a) = Compare a6989586621679190369 a6989586621679190370

type family CompareSym2 (a6989586621679190369 :: a) (a6989586621679190370 :: a) :: Ordering where ... Source #

Equations

CompareSym2 a6989586621679190369 a6989586621679190370 = Compare a6989586621679190369 a6989586621679190370

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) (a6989586621679190374 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((<@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679190374 :: a) = (<@#@$$) a6989586621679190374

data (<@#@$$) (a6989586621679190374 :: 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 ((<@#@$$) a6989586621679190374 :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((<@#@$$) a6989586621679190374 :: TyFun a Bool -> Type) (a6989586621679190375 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((<@#@$$) a6989586621679190374 :: TyFun a Bool -> Type) (a6989586621679190375 :: a) = a6989586621679190374 < a6989586621679190375

type family (a6989586621679190374 :: a) <@#@$$$ (a6989586621679190375 :: a) :: Bool where ... infix 4 Source #

Equations

a6989586621679190374 <@#@$$$ a6989586621679190375 = (<) a6989586621679190374 a6989586621679190375

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) (a6989586621679190379 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((<=@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679190379 :: a) = (<=@#@$$) a6989586621679190379

data (<=@#@$$) (a6989586621679190379 :: 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 ((<=@#@$$) a6989586621679190379 :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((<=@#@$$) a6989586621679190379 :: TyFun a Bool -> Type) (a6989586621679190380 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((<=@#@$$) a6989586621679190379 :: TyFun a Bool -> Type) (a6989586621679190380 :: a) = a6989586621679190379 <= a6989586621679190380

type family (a6989586621679190379 :: a) <=@#@$$$ (a6989586621679190380 :: a) :: Bool where ... infix 4 Source #

Equations

a6989586621679190379 <=@#@$$$ a6989586621679190380 = (<=) a6989586621679190379 a6989586621679190380

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) (a6989586621679190384 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((>@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679190384 :: a) = (>@#@$$) a6989586621679190384

data (>@#@$$) (a6989586621679190384 :: 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 ((>@#@$$) a6989586621679190384 :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((>@#@$$) a6989586621679190384 :: TyFun a Bool -> Type) (a6989586621679190385 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((>@#@$$) a6989586621679190384 :: TyFun a Bool -> Type) (a6989586621679190385 :: a) = a6989586621679190384 > a6989586621679190385

type family (a6989586621679190384 :: a) >@#@$$$ (a6989586621679190385 :: a) :: Bool where ... infix 4 Source #

Equations

a6989586621679190384 >@#@$$$ a6989586621679190385 = (>) a6989586621679190384 a6989586621679190385

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) (a6989586621679190389 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((>=@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679190389 :: a) = (>=@#@$$) a6989586621679190389

data (>=@#@$$) (a6989586621679190389 :: 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 ((>=@#@$$) a6989586621679190389 :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((>=@#@$$) a6989586621679190389 :: TyFun a Bool -> Type) (a6989586621679190390 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((>=@#@$$) a6989586621679190389 :: TyFun a Bool -> Type) (a6989586621679190390 :: a) = a6989586621679190389 >= a6989586621679190390

type family (a6989586621679190389 :: a) >=@#@$$$ (a6989586621679190390 :: a) :: Bool where ... infix 4 Source #

Equations

a6989586621679190389 >=@#@$$$ a6989586621679190390 = (>=) a6989586621679190389 a6989586621679190390

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) (a6989586621679190394 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply (MaxSym0 :: TyFun a (a ~> a) -> Type) (a6989586621679190394 :: a) = MaxSym1 a6989586621679190394

data MaxSym1 (a6989586621679190394 :: 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 a6989586621679190394 :: TyFun a a -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MaxSym1 a6989586621679190394 :: TyFun a a -> Type) (a6989586621679190395 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply (MaxSym1 a6989586621679190394 :: TyFun a a -> Type) (a6989586621679190395 :: a) = Max a6989586621679190394 a6989586621679190395

type family MaxSym2 (a6989586621679190394 :: a) (a6989586621679190395 :: a) :: a where ... Source #

Equations

MaxSym2 a6989586621679190394 a6989586621679190395 = Max a6989586621679190394 a6989586621679190395

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) (a6989586621679190399 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply (MinSym0 :: TyFun a (a ~> a) -> Type) (a6989586621679190399 :: a) = MinSym1 a6989586621679190399

data MinSym1 (a6989586621679190399 :: 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 a6989586621679190399 :: TyFun a a -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MinSym1 a6989586621679190399 :: TyFun a a -> Type) (a6989586621679190400 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply (MinSym1 a6989586621679190399 :: TyFun a a -> Type) (a6989586621679190400 :: a) = Min a6989586621679190399 a6989586621679190400

type family MinSym2 (a6989586621679190399 :: a) (a6989586621679190400 :: a) :: a where ... Source #

Equations

MinSym2 a6989586621679190399 a6989586621679190400 = Min a6989586621679190399 a6989586621679190400

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) (a6989586621679496118 :: Natural) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (ToEnumSym0 :: TyFun Natural k2 -> Type) (a6989586621679496118 :: Natural) = ToEnum a6989586621679496118 :: k2

type family ToEnumSym1 (a6989586621679496118 :: Natural) :: a where ... Source #

Equations

ToEnumSym1 a6989586621679496118 = ToEnum a6989586621679496118

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) (a6989586621679496121 :: a) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (FromEnumSym0 :: TyFun a Natural -> Type) (a6989586621679496121 :: a) = FromEnum a6989586621679496121

type family FromEnumSym1 (a6989586621679496121 :: a) :: Natural where ... Source #

Equations

FromEnumSym1 a6989586621679496121 = FromEnum a6989586621679496121

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) (a6989586621679496125 :: a) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (EnumFromToSym0 :: TyFun a (a ~> [a]) -> Type) (a6989586621679496125 :: a) = EnumFromToSym1 a6989586621679496125

data EnumFromToSym1 (a6989586621679496125 :: 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 a6989586621679496125 :: TyFun a [a] -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods suppressUnusedWarnings :: () #
type Apply (EnumFromToSym1 a6989586621679496125 :: TyFun a [a] -> Type) (a6989586621679496126 :: a) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (EnumFromToSym1 a6989586621679496125 :: TyFun a [a] -> Type) (a6989586621679496126 :: a) = EnumFromTo a6989586621679496125 a6989586621679496126

type family EnumFromToSym2 (a6989586621679496125 :: a) (a6989586621679496126 :: a) :: [a] where ... Source #

Equations

EnumFromToSym2 a6989586621679496125 a6989586621679496126 = EnumFromTo a6989586621679496125 a6989586621679496126

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) (a6989586621679496131 :: a) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (EnumFromThenToSym0 :: TyFun a (a ~> (a ~> [a])) -> Type) (a6989586621679496131 :: a) = EnumFromThenToSym1 a6989586621679496131

data EnumFromThenToSym1 (a6989586621679496131 :: 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 a6989586621679496131 :: TyFun a (a ~> [a]) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods suppressUnusedWarnings :: () #
type Apply (EnumFromThenToSym1 a6989586621679496131 :: TyFun a (a ~> [a]) -> Type) (a6989586621679496132 :: a) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (EnumFromThenToSym1 a6989586621679496131 :: TyFun a (a ~> [a]) -> Type) (a6989586621679496132 :: a) = EnumFromThenToSym2 a6989586621679496131 a6989586621679496132

data EnumFromThenToSym2 (a6989586621679496131 :: a) (a6989586621679496132 :: 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 a6989586621679496131 a6989586621679496132 :: TyFun a [a] -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods suppressUnusedWarnings :: () #
type Apply (EnumFromThenToSym2 a6989586621679496131 a6989586621679496132 :: TyFun a [a] -> Type) (a6989586621679496133 :: a) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (EnumFromThenToSym2 a6989586621679496131 a6989586621679496132 :: TyFun a [a] -> Type) (a6989586621679496133 :: a) = EnumFromThenTo a6989586621679496131 a6989586621679496132 a6989586621679496133

type family EnumFromThenToSym3 (a6989586621679496131 :: a) (a6989586621679496132 :: a) (a6989586621679496133 :: a) :: [a] where ... Source #

Equations

EnumFromThenToSym3 a6989586621679496131 a6989586621679496132 a6989586621679496133 = EnumFromThenTo a6989586621679496131 a6989586621679496132 a6989586621679496133

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) (a6989586621679477080 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply ((+@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679477080 :: a) = (+@#@$$) a6989586621679477080

data (+@#@$$) (a6989586621679477080 :: 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 ((+@#@$$) a6989586621679477080 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((+@#@$$) a6989586621679477080 :: TyFun a a -> Type) (a6989586621679477081 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply ((+@#@$$) a6989586621679477080 :: TyFun a a -> Type) (a6989586621679477081 :: a) = a6989586621679477080 + a6989586621679477081

type family (a6989586621679477080 :: a) +@#@$$$ (a6989586621679477081 :: a) :: a where ... infixl 6 Source #

Equations

a6989586621679477080 +@#@$$$ a6989586621679477081 = (+) a6989586621679477080 a6989586621679477081

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) (a6989586621679477085 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply ((-@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679477085 :: a) = (-@#@$$) a6989586621679477085

data (-@#@$$) (a6989586621679477085 :: 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 ((-@#@$$) a6989586621679477085 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((-@#@$$) a6989586621679477085 :: TyFun a a -> Type) (a6989586621679477086 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply ((-@#@$$) a6989586621679477085 :: TyFun a a -> Type) (a6989586621679477086 :: a) = a6989586621679477085 - a6989586621679477086

type family (a6989586621679477085 :: a) -@#@$$$ (a6989586621679477086 :: a) :: a where ... infixl 6 Source #

Equations

a6989586621679477085 -@#@$$$ a6989586621679477086 = (-) a6989586621679477085 a6989586621679477086

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) (a6989586621679477090 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply ((@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679477090 :: a) = (@#@$$) a6989586621679477090

data (*@#@$$) (a6989586621679477090 :: 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 ((*@#@$$) a6989586621679477090 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((*@#@$$) a6989586621679477090 :: TyFun a a -> Type) (a6989586621679477091 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply ((@#@$$) a6989586621679477090 :: TyFun a a -> Type) (a6989586621679477091 :: a) = a6989586621679477090 a6989586621679477091

type family (a6989586621679477090 :: a) *@#@$$$ (a6989586621679477091 :: a) :: a where ... infixl 7 Source #

Equations

a6989586621679477090 *@#@$$$ a6989586621679477091 = * a6989586621679477090 a6989586621679477091

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) (a6989586621679477094 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply (NegateSym0 :: TyFun a a -> Type) (a6989586621679477094 :: a) = Negate a6989586621679477094

type family NegateSym1 (a6989586621679477094 :: a) :: a where ... Source #

Equations

NegateSym1 a6989586621679477094 = Negate a6989586621679477094

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) (a6989586621679477097 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply (AbsSym0 :: TyFun a a -> Type) (a6989586621679477097 :: a) = Abs a6989586621679477097

type family AbsSym1 (a6989586621679477097 :: a) :: a where ... Source #

Equations

AbsSym1 a6989586621679477097 = Abs a6989586621679477097

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) (a6989586621679477100 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply (SignumSym0 :: TyFun a a -> Type) (a6989586621679477100 :: a) = Signum a6989586621679477100

type family SignumSym1 (a6989586621679477100 :: a) :: a where ... Source #

Equations

SignumSym1 a6989586621679477100 = Signum a6989586621679477100

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) (a6989586621679477103 :: Natural) Source #
Instance details Defined in GHC.Num.Singletons type Apply (FromIntegerSym0 :: TyFun Natural k2 -> Type) (a6989586621679477103 :: Natural) = FromInteger a6989586621679477103 :: k2

type family FromIntegerSym1 (a6989586621679477103 :: Natural) :: a where ... Source #

Equations

FromIntegerSym1 a6989586621679477103 = FromInteger a6989586621679477103

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) (a6989586621679477073 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply (SubtractSym0 :: TyFun a (a ~> a) -> Type) (a6989586621679477073 :: a) = SubtractSym1 a6989586621679477073

data SubtractSym1 (a6989586621679477073 :: 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 a6989586621679477073 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply (SubtractSym1 a6989586621679477073 :: TyFun a a -> Type) (a6989586621679477074 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply (SubtractSym1 a6989586621679477073 :: TyFun a a -> Type) (a6989586621679477074 :: a) = Subtract a6989586621679477073 a6989586621679477074

type family SubtractSym2 (a6989586621679477073 :: a) (a6989586621679477074 :: a) :: a where ... Source #

Equations

SubtractSym2 a6989586621679477073 a6989586621679477074 = Subtract a6989586621679477073 a6989586621679477074

Semigroups and Monoids

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

Instances

Instances details

SSemigroup a => SingI ((<>@#@$) :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Methods sing :: Sing (<>@#@$) #
SuppressUnusedWarnings ((<>@#@$) :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Methods suppressUnusedWarnings :: () #
type Apply ((<>@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679166895 :: a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes type Apply ((<>@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679166895 :: a) = (<>@#@$$) a6989586621679166895

data (<>@#@$$) (a6989586621679166895 :: a) :: (~>) a a infixr 6 Source #

Instances

Instances details

SSemigroup a => SingI1 ((<>@#@$$) :: a -> TyFun a a -> Type) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Methods liftSing :: forall (x :: k1). Sing x -> Sing ((<>@#@$$) x) #
(SSemigroup a, SingI d) => SingI ((<>@#@$$) d :: TyFun a a -> Type) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Methods sing :: Sing ((<>@#@$$) d) #
SuppressUnusedWarnings ((<>@#@$$) a6989586621679166895 :: TyFun a a -> Type) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes Methods suppressUnusedWarnings :: () #
type Apply ((<>@#@$$) a6989586621679166895 :: TyFun a a -> Type) (a6989586621679166896 :: a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Classes type Apply ((<>@#@$$) a6989586621679166895 :: TyFun a a -> Type) (a6989586621679166896 :: a) = a6989586621679166895 <> a6989586621679166896

type family (a6989586621679166895 :: a) <>@#@$$$ (a6989586621679166896 :: a) :: a where ... infixr 6 Source #

Equations

a6989586621679166895 <>@#@$$$ a6989586621679166896 = (<>) a6989586621679166895 a6989586621679166896

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) (a6989586621680031457 :: a) Source #
Instance details Defined in Data.Monoid.Singletons type Apply (MappendSym0 :: TyFun a (a ~> a) -> Type) (a6989586621680031457 :: a) = MappendSym1 a6989586621680031457

data MappendSym1 (a6989586621680031457 :: 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 a6989586621680031457 :: TyFun a a -> Type) Source #
Instance details Defined in Data.Monoid.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MappendSym1 a6989586621680031457 :: TyFun a a -> Type) (a6989586621680031458 :: a) Source #
Instance details Defined in Data.Monoid.Singletons type Apply (MappendSym1 a6989586621680031457 :: TyFun a a -> Type) (a6989586621680031458 :: a) = Mappend a6989586621680031457 a6989586621680031458

type family MappendSym2 (a6989586621680031457 :: a) (a6989586621680031458 :: a) :: a where ... Source #

Equations

MappendSym2 a6989586621680031457 a6989586621680031458 = Mappend a6989586621680031457 a6989586621680031458

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) (a6989586621680031461 :: [a]) Source #
Instance details Defined in Data.Monoid.Singletons type Apply (MconcatSym0 :: TyFun [a] a -> Type) (a6989586621680031461 :: [a]) = Mconcat a6989586621680031461

type family MconcatSym1 (a6989586621680031461 :: [a]) :: a where ... Source #

Equations

MconcatSym1 a6989586621680031461 = Mconcat a6989586621680031461

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) (a6989586621679276541 :: a ~> b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (FmapSym0 :: TyFun (a ~> b) (f a ~> f b) -> Type) (a6989586621679276541 :: a ~> b) = FmapSym1 a6989586621679276541 :: TyFun (f a) (f b) -> Type

data FmapSym1 (a6989586621679276541 :: (~>) 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 a6989586621679276541 :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (FmapSym1 a6989586621679276541 :: TyFun (f a) (f b) -> Type) (a6989586621679276542 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (FmapSym1 a6989586621679276541 :: TyFun (f a) (f b) -> Type) (a6989586621679276542 :: f a) = Fmap a6989586621679276541 a6989586621679276542

type family FmapSym2 (a6989586621679276541 :: (~>) a b) (a6989586621679276542 :: f a) :: f b where ... Source #

Equations

FmapSym2 a6989586621679276541 a6989586621679276542 = Fmap a6989586621679276541 a6989586621679276542

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) (a6989586621679276546 :: a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<$@#@$) :: TyFun a (f b ~> f a) -> Type) (a6989586621679276546 :: a) = (<$@#@$$) a6989586621679276546 :: TyFun (f b) (f a) -> Type

data (<$@#@$$) (a6989586621679276546 :: 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 ((<$@#@$$) a6989586621679276546 :: TyFun (f b) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((<$@#@$$) a6989586621679276546 :: TyFun (f b) (f a) -> Type) (a6989586621679276547 :: f b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<$@#@$$) a6989586621679276546 :: TyFun (f b) (f a) -> Type) (a6989586621679276547 :: f b) = a6989586621679276546 <$ a6989586621679276547

type family (a6989586621679276546 :: a) <$@#@$$$ (a6989586621679276547 :: f b) :: f a where ... infixl 4 Source #

Equations

a6989586621679276546 <$@#@$$$ a6989586621679276547 = (<$) a6989586621679276546 a6989586621679276547

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) (a6989586621679430465 :: a ~> b) Source #
Instance details Defined in Data.Functor.Singletons type Apply ((<$>@#@$) :: TyFun (a ~> b) (f a ~> f b) -> Type) (a6989586621679430465 :: a ~> b) = (<$>@#@$$) a6989586621679430465 :: TyFun (f a) (f b) -> Type

data (<$>@#@$$) (a6989586621679430465 :: (~>) 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 ((<$>@#@$$) a6989586621679430465 :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Data.Functor.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((<$>@#@$$) a6989586621679430465 :: TyFun (f a) (f b) -> Type) (a6989586621679430466 :: f a) Source #
Instance details Defined in Data.Functor.Singletons type Apply ((<$>@#@$$) a6989586621679430465 :: TyFun (f a) (f b) -> Type) (a6989586621679430466 :: f a) = a6989586621679430465 <$> a6989586621679430466

type family (a6989586621679430465 :: (~>) a b) <$>@#@$$$ (a6989586621679430466 :: f a) :: f b where ... infixl 4 Source #

Equations

a6989586621679430465 <$>@#@$$$ a6989586621679430466 = (<$>) a6989586621679430465 a6989586621679430466

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) (a6989586621679276565 :: a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (PureSym0 :: TyFun a (f a) -> Type) (a6989586621679276565 :: a) = Pure a6989586621679276565 :: f a

type family PureSym1 (a6989586621679276565 :: a) :: f a where ... Source #

Equations

PureSym1 a6989586621679276565 = Pure a6989586621679276565

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) (a6989586621679276569 :: f (a ~> b)) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<>@#@$) :: TyFun (f (a ~> b)) (f a ~> f b) -> Type) (a6989586621679276569 :: f (a ~> b)) = (<>@#@$$) a6989586621679276569

data (<*>@#@$$) (a6989586621679276569 :: 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 ((<*>@#@$$) a6989586621679276569 :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((<*>@#@$$) a6989586621679276569 :: TyFun (f a) (f b) -> Type) (a6989586621679276570 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<>@#@$$) a6989586621679276569 :: TyFun (f a) (f b) -> Type) (a6989586621679276570 :: f a) = a6989586621679276569 <> a6989586621679276570

type family (a6989586621679276569 :: f ((~>) a b)) <*>@#@$$$ (a6989586621679276570 :: f a) :: f b where ... infixl 4 Source #

Equations

a6989586621679276569 <*>@#@$$$ a6989586621679276570 = (<*>) a6989586621679276569 a6989586621679276570

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) (a6989586621679276581 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>@#@$) :: TyFun (f a) (f b ~> f b) -> Type) (a6989586621679276581 :: f a) = (>@#@$$) a6989586621679276581 :: TyFun (f b) (f b) -> Type

data (*>@#@$$) (a6989586621679276581 :: 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 ((*>@#@$$) a6989586621679276581 :: TyFun (f b) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((*>@#@$$) a6989586621679276581 :: TyFun (f b) (f b) -> Type) (a6989586621679276582 :: f b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>@#@$$) a6989586621679276581 :: TyFun (f b) (f b) -> Type) (a6989586621679276582 :: f b) = a6989586621679276581 > a6989586621679276582

type family (a6989586621679276581 :: f a) *>@#@$$$ (a6989586621679276582 :: f b) :: f b where ... infixl 4 Source #

Equations

a6989586621679276581 *>@#@$$$ a6989586621679276582 = (*>) a6989586621679276581 a6989586621679276582

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) (a6989586621679276586 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<@#@$) :: TyFun (f a) (f b ~> f a) -> Type) (a6989586621679276586 :: f a) = (<@#@$$) a6989586621679276586 :: TyFun (f b) (f a) -> Type

data (<*@#@$$) (a6989586621679276586 :: 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 ((<*@#@$$) a6989586621679276586 :: TyFun (f b) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((<*@#@$$) a6989586621679276586 :: TyFun (f b) (f a) -> Type) (a6989586621679276587 :: f b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<@#@$$) a6989586621679276586 :: TyFun (f b) (f a) -> Type) (a6989586621679276587 :: f b) = a6989586621679276586 < a6989586621679276587

type family (a6989586621679276586 :: f a) <*@#@$$$ (a6989586621679276587 :: f b) :: f a where ... infixl 4 Source #

Equations

a6989586621679276586 <*@#@$$$ a6989586621679276587 = (<*) a6989586621679276586 a6989586621679276587

data LiftA2Sym0 :: (~>) ((~>) a ((~>) b c)) ((~>) (f a) ((~>) (f b) (f c))) Source #

Instances

Instances details

SApplicative f => SingI (LiftA2Sym0 :: TyFun (a ~> (b ~> c)) (f a ~> (f b ~> f c)) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing LiftA2Sym0 #
SuppressUnusedWarnings (LiftA2Sym0 :: TyFun (a ~> (b ~> c)) (f a ~> (f b ~> f c)) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (LiftA2Sym0 :: TyFun (a ~> (b ~> c)) (f a ~> (f b ~> f c)) -> Type) (a6989586621679276575 :: a ~> (b ~> c)) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (LiftA2Sym0 :: TyFun (a ~> (b ~> c)) (f a ~> (f b ~> f c)) -> Type) (a6989586621679276575 :: a ~> (b ~> c)) = LiftA2Sym1 a6989586621679276575 :: TyFun (f a) (f b ~> f c) -> Type

data LiftA2Sym1 (a6989586621679276575 :: (~>) a ((~>) b c)) :: (~>) (f a) ((~>) (f b) (f c)) Source #

Instances

Instances details

SApplicative f => SingI1 (LiftA2Sym1 :: (a ~> (b ~> c)) -> TyFun (f a) (f b ~> f c) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (LiftA2Sym1 x) #
(SApplicative f, SingI d) => SingI (LiftA2Sym1 d :: TyFun (f a) (f b ~> f c) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (LiftA2Sym1 d) #
SuppressUnusedWarnings (LiftA2Sym1 a6989586621679276575 :: TyFun (f a) (f b ~> f c) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (LiftA2Sym1 a6989586621679276575 :: TyFun (f a) (f b ~> f c) -> Type) (a6989586621679276576 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (LiftA2Sym1 a6989586621679276575 :: TyFun (f a) (f b ~> f c) -> Type) (a6989586621679276576 :: f a) = LiftA2Sym2 a6989586621679276575 a6989586621679276576

data LiftA2Sym2 (a6989586621679276575 :: (~>) a ((~>) b c)) (a6989586621679276576 :: f a) :: (~>) (f b) (f c) Source #

Instances

Instances details

(SApplicative f, SingI d) => SingI1 (LiftA2Sym2 d :: f a -> TyFun (f b) (f c) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (LiftA2Sym2 d x) #
SApplicative f => SingI2 (LiftA2Sym2 :: (a ~> (b ~> c)) -> f a -> TyFun (f b) (f c) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (LiftA2Sym2 x y) #
(SApplicative f, SingI d1, SingI d2) => SingI (LiftA2Sym2 d1 d2 :: TyFun (f b) (f c) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (LiftA2Sym2 d1 d2) #
SuppressUnusedWarnings (LiftA2Sym2 a6989586621679276575 a6989586621679276576 :: TyFun (f b) (f c) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (LiftA2Sym2 a6989586621679276575 a6989586621679276576 :: TyFun (f b) (f c) -> Type) (a6989586621679276577 :: f b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (LiftA2Sym2 a6989586621679276575 a6989586621679276576 :: TyFun (f b) (f c) -> Type) (a6989586621679276577 :: f b) = LiftA2 a6989586621679276575 a6989586621679276576 a6989586621679276577

type family LiftA2Sym3 (a6989586621679276575 :: (~>) a ((~>) b c)) (a6989586621679276576 :: f a) (a6989586621679276577 :: f b) :: f c where ... Source #

Equations

LiftA2Sym3 a6989586621679276575 a6989586621679276576 a6989586621679276577 = LiftA2 a6989586621679276575 a6989586621679276576 a6989586621679276577

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) (a6989586621679276649 :: m a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>>=@#@$) :: TyFun (m a) ((a ~> m b) ~> m b) -> Type) (a6989586621679276649 :: m a) = (>>=@#@$$) a6989586621679276649 :: TyFun (a ~> m b) (m b) -> Type

data (>>=@#@$$) (a6989586621679276649 :: 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 ((>>=@#@$$) a6989586621679276649 :: TyFun (a ~> m b) (m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((>>=@#@$$) a6989586621679276649 :: TyFun (a ~> m b) (m b) -> Type) (a6989586621679276650 :: a ~> m b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>>=@#@$$) a6989586621679276649 :: TyFun (a ~> m b) (m b) -> Type) (a6989586621679276650 :: a ~> m b) = a6989586621679276649 >>= a6989586621679276650

type family (a6989586621679276649 :: m a) >>=@#@$$$ (a6989586621679276650 :: (~>) a (m b)) :: m b where ... infixl 1 Source #

Equations

a6989586621679276649 >>=@#@$$$ a6989586621679276650 = (>>=) a6989586621679276649 a6989586621679276650

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) (a6989586621679276654 :: m a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>>@#@$) :: TyFun (m a) (m b ~> m b) -> Type) (a6989586621679276654 :: m a) = (>>@#@$$) a6989586621679276654 :: TyFun (m b) (m b) -> Type

data (>>@#@$$) (a6989586621679276654 :: 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 ((>>@#@$$) a6989586621679276654 :: TyFun (m b) (m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((>>@#@$$) a6989586621679276654 :: TyFun (m b) (m b) -> Type) (a6989586621679276655 :: m b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>>@#@$$) a6989586621679276654 :: TyFun (m b) (m b) -> Type) (a6989586621679276655 :: m b) = a6989586621679276654 >> a6989586621679276655

type family (a6989586621679276654 :: m a) >>@#@$$$ (a6989586621679276655 :: m b) :: m b where ... infixl 1 Source #

Equations

a6989586621679276654 >>@#@$$$ a6989586621679276655 = (>>) a6989586621679276654 a6989586621679276655

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) (a6989586621679276658 :: a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (ReturnSym0 :: TyFun a (m a) -> Type) (a6989586621679276658 :: a) = Return a6989586621679276658 :: m a

type family ReturnSym1 (a6989586621679276658 :: a) :: m a where ... Source #

Equations

ReturnSym1 a6989586621679276658 = Return a6989586621679276658

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) (a6989586621679444078 :: [Char]) Source #
Instance details Defined in Control.Monad.Fail.Singletons type Apply (FailSym0 :: TyFun [Char] (m a) -> Type) (a6989586621679444078 :: [Char]) = Fail a6989586621679444078 :: m a

type family FailSym1 (a6989586621679444078 :: [Char]) :: m a where ... Source #

Equations

FailSym1 a6989586621679444078 = Fail a6989586621679444078

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) (a6989586621680110487 :: a ~> m b) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (MapM_Sym0 :: TyFun (a ~> m b) (t a ~> m ()) -> Type) (a6989586621680110487 :: a ~> m b) = MapM_Sym1 a6989586621680110487 :: TyFun (t a) (m ()) -> Type

data MapM_Sym1 (a6989586621680110487 :: (~>) 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 a6989586621680110487 :: TyFun (t a) (m ()) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MapM_Sym1 a6989586621680110487 :: TyFun (t a) (m ()) -> Type) (a6989586621680110488 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (MapM_Sym1 a6989586621680110487 :: TyFun (t a) (m ()) -> Type) (a6989586621680110488 :: t a) = MapM_ a6989586621680110487 a6989586621680110488

type family MapM_Sym2 (a6989586621680110487 :: (~>) a (m b)) (a6989586621680110488 :: t a) :: m () where ... Source #

Equations

MapM_Sym2 a6989586621680110487 a6989586621680110488 = MapM_ a6989586621680110487 a6989586621680110488

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) (a6989586621680110463 :: t (m a)) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (Sequence_Sym0 :: TyFun (t (m a)) (m ()) -> Type) (a6989586621680110463 :: t (m a)) = Sequence_ a6989586621680110463

type family Sequence_Sym1 (a6989586621680110463 :: t (m a)) :: m () where ... Source #

Equations

Sequence_Sym1 a6989586621680110463 = Sequence_ a6989586621680110463

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) (a6989586621679276494 :: a ~> m b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((=<<@#@$) :: TyFun (a ~> m b) (m a ~> m b) -> Type) (a6989586621679276494 :: a ~> m b) = (=<<@#@$$) a6989586621679276494

data (=<<@#@$$) (a6989586621679276494 :: (~>) 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 ((=<<@#@$$) a6989586621679276494 :: TyFun (m a) (m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((=<<@#@$$) a6989586621679276494 :: TyFun (m a) (m b) -> Type) (a6989586621679276495 :: m a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((=<<@#@$$) a6989586621679276494 :: TyFun (m a) (m b) -> Type) (a6989586621679276495 :: m a) = a6989586621679276494 =<< a6989586621679276495

type family (a6989586621679276494 :: (~>) a (m b)) =<<@#@$$$ (a6989586621679276495 :: m a) :: m b where ... infixr 1 Source #

Equations

a6989586621679276494 =<<@#@$$$ a6989586621679276495 = (=<<) a6989586621679276494 a6989586621679276495

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) (a6989586621680110605 :: a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (ElemSym0 :: TyFun a (t a ~> Bool) -> Type) (a6989586621680110605 :: a) = ElemSym1 a6989586621680110605 :: TyFun (t a) Bool -> Type

data ElemSym1 (a6989586621680110605 :: 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 a6989586621680110605 :: TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ElemSym1 a6989586621680110605 :: TyFun (t a) Bool -> Type) (a6989586621680110606 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (ElemSym1 a6989586621680110605 :: TyFun (t a) Bool -> Type) (a6989586621680110606 :: t a) = Elem a6989586621680110605 a6989586621680110606

type family ElemSym2 (a6989586621680110605 :: a) (a6989586621680110606 :: t a) :: Bool where ... Source #

Equations

ElemSym2 a6989586621680110605 a6989586621680110606 = Elem a6989586621680110605 a6989586621680110606

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) (a6989586621680110553 :: a ~> m) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldMapSym0 :: TyFun (a ~> m) (t a ~> m) -> Type) (a6989586621680110553 :: a ~> m) = FoldMapSym1 a6989586621680110553 :: TyFun (t a) m -> Type

data FoldMapSym1 (a6989586621680110553 :: (~>) 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 a6989586621680110553 :: TyFun (t a) m -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FoldMapSym1 a6989586621680110553 :: TyFun (t a) m -> Type) (a6989586621680110554 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldMapSym1 a6989586621680110553 :: TyFun (t a) m -> Type) (a6989586621680110554 :: t a) = FoldMap a6989586621680110553 a6989586621680110554

type family FoldMapSym2 (a6989586621680110553 :: (~>) a m) (a6989586621680110554 :: t a) :: m where ... Source #

Equations

FoldMapSym2 a6989586621680110553 a6989586621680110554 = FoldMap a6989586621680110553 a6989586621680110554

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) (a6989586621680110559 :: a ~> (b ~> b)) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldrSym0 :: TyFun (a ~> (b ~> b)) (b ~> (t a ~> b)) -> Type) (a6989586621680110559 :: a ~> (b ~> b)) = FoldrSym1 a6989586621680110559 :: TyFun b (t a ~> b) -> Type

data FoldrSym1 (a6989586621680110559 :: (~>) 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 a6989586621680110559 :: TyFun b (t a ~> b) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FoldrSym1 a6989586621680110559 :: TyFun b (t a ~> b) -> Type) (a6989586621680110560 :: b) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldrSym1 a6989586621680110559 :: TyFun b (t a ~> b) -> Type) (a6989586621680110560 :: b) = FoldrSym2 a6989586621680110559 a6989586621680110560 :: TyFun (t a) b -> Type

data FoldrSym2 (a6989586621680110559 :: (~>) a ((~>) b b)) (a6989586621680110560 :: 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 a6989586621680110559 a6989586621680110560 :: TyFun (t a) b -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FoldrSym2 a6989586621680110559 a6989586621680110560 :: TyFun (t a) b -> Type) (a6989586621680110561 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldrSym2 a6989586621680110559 a6989586621680110560 :: TyFun (t a) b -> Type) (a6989586621680110561 :: t a) = Foldr a6989586621680110559 a6989586621680110560 a6989586621680110561

type family FoldrSym3 (a6989586621680110559 :: (~>) a ((~>) b b)) (a6989586621680110560 :: b) (a6989586621680110561 :: t a) :: b where ... Source #

Equations

FoldrSym3 a6989586621680110559 a6989586621680110560 a6989586621680110561 = Foldr a6989586621680110559 a6989586621680110560 a6989586621680110561

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) (a6989586621680110573 :: b ~> (a ~> b)) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldlSym0 :: TyFun (b ~> (a ~> b)) (b ~> (t a ~> b)) -> Type) (a6989586621680110573 :: b ~> (a ~> b)) = FoldlSym1 a6989586621680110573 :: TyFun b (t a ~> b) -> Type

data FoldlSym1 (a6989586621680110573 :: (~>) 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 a6989586621680110573 :: TyFun b (t a ~> b) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FoldlSym1 a6989586621680110573 :: TyFun b (t a ~> b) -> Type) (a6989586621680110574 :: b) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldlSym1 a6989586621680110573 :: TyFun b (t a ~> b) -> Type) (a6989586621680110574 :: b) = FoldlSym2 a6989586621680110573 a6989586621680110574 :: TyFun (t a) b -> Type

data FoldlSym2 (a6989586621680110573 :: (~>) b ((~>) a b)) (a6989586621680110574 :: 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 a6989586621680110573 a6989586621680110574 :: TyFun (t a) b -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FoldlSym2 a6989586621680110573 a6989586621680110574 :: TyFun (t a) b -> Type) (a6989586621680110575 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldlSym2 a6989586621680110573 a6989586621680110574 :: TyFun (t a) b -> Type) (a6989586621680110575 :: t a) = Foldl a6989586621680110573 a6989586621680110574 a6989586621680110575

type family FoldlSym3 (a6989586621680110573 :: (~>) b ((~>) a b)) (a6989586621680110574 :: b) (a6989586621680110575 :: t a) :: b where ... Source #

Equations

FoldlSym3 a6989586621680110573 a6989586621680110574 a6989586621680110575 = Foldl a6989586621680110573 a6989586621680110574 a6989586621680110575

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) (a6989586621680110586 :: a ~> (a ~> a)) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (Foldr1Sym0 :: TyFun (a ~> (a ~> a)) (t a ~> a) -> Type) (a6989586621680110586 :: a ~> (a ~> a)) = Foldr1Sym1 a6989586621680110586 :: TyFun (t a) a -> Type

data Foldr1Sym1 (a6989586621680110586 :: (~>) 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 a6989586621680110586 :: TyFun (t a) a -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Foldr1Sym1 a6989586621680110586 :: TyFun (t a) a -> Type) (a6989586621680110587 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (Foldr1Sym1 a6989586621680110586 :: TyFun (t a) a -> Type) (a6989586621680110587 :: t a) = Foldr1 a6989586621680110586 a6989586621680110587

type family Foldr1Sym2 (a6989586621680110586 :: (~>) a ((~>) a a)) (a6989586621680110587 :: t a) :: a where ... Source #

Equations

Foldr1Sym2 a6989586621680110586 a6989586621680110587 = Foldr1 a6989586621680110586 a6989586621680110587

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) (a6989586621680110591 :: a ~> (a ~> a)) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (Foldl1Sym0 :: TyFun (a ~> (a ~> a)) (t a ~> a) -> Type) (a6989586621680110591 :: a ~> (a ~> a)) = Foldl1Sym1 a6989586621680110591 :: TyFun (t a) a -> Type

data Foldl1Sym1 (a6989586621680110591 :: (~>) 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 a6989586621680110591 :: TyFun (t a) a -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Foldl1Sym1 a6989586621680110591 :: TyFun (t a) a -> Type) (a6989586621680110592 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (Foldl1Sym1 a6989586621680110591 :: TyFun (t a) a -> Type) (a6989586621680110592 :: t a) = Foldl1 a6989586621680110591 a6989586621680110592

type family Foldl1Sym2 (a6989586621680110591 :: (~>) a ((~>) a a)) (a6989586621680110592 :: t a) :: a where ... Source #

Equations

Foldl1Sym2 a6989586621680110591 a6989586621680110592 = Foldl1 a6989586621680110591 a6989586621680110592

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) (a6989586621680110609 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (MaximumSym0 :: TyFun (t a) a -> Type) (a6989586621680110609 :: t a) = Maximum a6989586621680110609

type family MaximumSym1 (a6989586621680110609 :: t a) :: a where ... Source #

Equations

MaximumSym1 a6989586621680110609 = Maximum a6989586621680110609

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) (a6989586621680110612 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (MinimumSym0 :: TyFun (t a) a -> Type) (a6989586621680110612 :: t a) = Minimum a6989586621680110612

type family MinimumSym1 (a6989586621680110612 :: t a) :: a where ... Source #

Equations

MinimumSym1 a6989586621680110612 = Minimum a6989586621680110612

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) (a6989586621680110618 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (ProductSym0 :: TyFun (t a) a -> Type) (a6989586621680110618 :: t a) = Product a6989586621680110618

type family ProductSym1 (a6989586621680110618 :: t a) :: a where ... Source #

Equations

ProductSym1 a6989586621680110618 = Product a6989586621680110618

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) (a6989586621680110615 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (SumSym0 :: TyFun (t a) a -> Type) (a6989586621680110615 :: t a) = Sum a6989586621680110615

type family SumSym1 (a6989586621680110615 :: t a) :: a where ... Source #

Equations

SumSym1 a6989586621680110615 = Sum a6989586621680110615

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) (a6989586621680379945 :: a ~> f b) Source #
Instance details Defined in Data.Traversable.Singletons type Apply (TraverseSym0 :: TyFun (a ~> f b) (t a ~> f (t b)) -> Type) (a6989586621680379945 :: a ~> f b) = TraverseSym1 a6989586621680379945 :: TyFun (t a) (f (t b)) -> Type

data TraverseSym1 (a6989586621680379945 :: (~>) 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 a6989586621680379945 :: TyFun (t a) (f (t b)) -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (TraverseSym1 a6989586621680379945 :: TyFun (t a) (f (t b)) -> Type) (a6989586621680379946 :: t a) Source #
Instance details Defined in Data.Traversable.Singletons type Apply (TraverseSym1 a6989586621680379945 :: TyFun (t a) (f (t b)) -> Type) (a6989586621680379946 :: t a) = Traverse a6989586621680379945 a6989586621680379946

type family TraverseSym2 (a6989586621680379945 :: (~>) a (f b)) (a6989586621680379946 :: t a) :: f (t b) where ... Source #

Equations

TraverseSym2 a6989586621680379945 a6989586621680379946 = Traverse a6989586621680379945 a6989586621680379946

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) (a6989586621680379949 :: t (f a)) Source #
Instance details Defined in Data.Traversable.Singletons type Apply (SequenceASym0 :: TyFun (t (f a)) (f (t a)) -> Type) (a6989586621680379949 :: t (f a)) = SequenceA a6989586621680379949

type family SequenceASym1 (a6989586621680379949 :: t (f a)) :: f (t a) where ... Source #

Equations

SequenceASym1 a6989586621680379949 = SequenceA a6989586621680379949

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) (a6989586621680379953 :: a ~> m b) Source #
Instance details Defined in Data.Traversable.Singletons type Apply (MapMSym0 :: TyFun (a ~> m b) (t a ~> m (t b)) -> Type) (a6989586621680379953 :: a ~> m b) = MapMSym1 a6989586621680379953 :: TyFun (t a) (m (t b)) -> Type

data MapMSym1 (a6989586621680379953 :: (~>) 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 a6989586621680379953 :: TyFun (t a) (m (t b)) -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MapMSym1 a6989586621680379953 :: TyFun (t a) (m (t b)) -> Type) (a6989586621680379954 :: t a) Source #
Instance details Defined in Data.Traversable.Singletons type Apply (MapMSym1 a6989586621680379953 :: TyFun (t a) (m (t b)) -> Type) (a6989586621680379954 :: t a) = MapM a6989586621680379953 a6989586621680379954

type family MapMSym2 (a6989586621680379953 :: (~>) a (m b)) (a6989586621680379954 :: t a) :: m (t b) where ... Source #

Equations

MapMSym2 a6989586621680379953 a6989586621680379954 = MapM a6989586621680379953 a6989586621680379954

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) (a6989586621680379957 :: t (m a)) Source #
Instance details Defined in Data.Traversable.Singletons type Apply (SequenceSym0 :: TyFun (t (m a)) (m (t a)) -> Type) (a6989586621680379957 :: t (m a)) = Sequence a6989586621680379957

type family SequenceSym1 (a6989586621680379957 :: t (m a)) :: m (t a) where ... Source #

Equations

SequenceSym1 a6989586621680379957 = Sequence a6989586621680379957

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) (a6989586621679144192 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (IdSym0 :: TyFun a a -> Type) (a6989586621679144192 :: a) = Id a6989586621679144192

type family IdSym1 (a6989586621679144192 :: a) :: a where ... Source #

Equations

IdSym1 a6989586621679144192 = Id a6989586621679144192

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) (a6989586621679144187 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (ConstSym0 :: TyFun a (b ~> a) -> Type) (a6989586621679144187 :: a) = ConstSym1 a6989586621679144187 :: TyFun b a -> Type

data ConstSym1 (a6989586621679144187 :: 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 a6989586621679144187 :: TyFun b a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ConstSym1 a6989586621679144187 :: TyFun b a -> Type) (a6989586621679144188 :: b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (ConstSym1 a6989586621679144187 :: TyFun b a -> Type) (a6989586621679144188 :: b) = Const a6989586621679144187 a6989586621679144188

type family ConstSym2 (a6989586621679144187 :: a) (a6989586621679144188 :: b) :: a where ... Source #

Equations

ConstSym2 a6989586621679144187 a6989586621679144188 = Const a6989586621679144187 a6989586621679144188

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) (a6989586621679144174 :: b ~> c) Source #
Instance details Defined in GHC.Base.Singletons type Apply ((.@#@$) :: TyFun (b ~> c) ((a ~> b) ~> (a ~> c)) -> Type) (a6989586621679144174 :: b ~> c) = (.@#@$$) a6989586621679144174 :: TyFun (a ~> b) (a ~> c) -> Type

data (.@#@$$) (a6989586621679144174 :: (~>) 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 ((.@#@$$) a6989586621679144174 :: TyFun (a ~> b) (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((.@#@$$) a6989586621679144174 :: TyFun (a ~> b) (a ~> c) -> Type) (a6989586621679144175 :: a ~> b) Source #
Instance details Defined in GHC.Base.Singletons type Apply ((.@#@$$) a6989586621679144174 :: TyFun (a ~> b) (a ~> c) -> Type) (a6989586621679144175 :: a ~> b) = a6989586621679144174 .@#@$$$ a6989586621679144175

data (a6989586621679144174 :: (~>) b c) .@#@$$$ (a6989586621679144175 :: (~>) 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 (a6989586621679144174 .@#@$$$ a6989586621679144175 :: TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (a6989586621679144174 .@#@$$$ a6989586621679144175 :: TyFun a c -> Type) (a6989586621679144176 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (a6989586621679144174 .@#@$$$ a6989586621679144175 :: TyFun a c -> Type) (a6989586621679144176 :: a) = (a6989586621679144174 . a6989586621679144175) a6989586621679144176

type family ((a6989586621679144174 :: (~>) b c) .@#@$$$$ (a6989586621679144175 :: (~>) a b)) (a6989586621679144176 :: a) :: c where ... infixr 9 Source #

Equations

(a6989586621679144174 .@#@$$$$ a6989586621679144175) a6989586621679144176 = (.) a6989586621679144174 a6989586621679144175 a6989586621679144176

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) (a6989586621679144162 :: a ~> (b ~> c)) Source #
Instance details Defined in GHC.Base.Singletons type Apply (FlipSym0 :: TyFun (a ~> (b ~> c)) (b ~> (a ~> c)) -> Type) (a6989586621679144162 :: a ~> (b ~> c)) = FlipSym1 a6989586621679144162

data FlipSym1 (a6989586621679144162 :: (~>) 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 a6989586621679144162 :: TyFun b (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FlipSym1 a6989586621679144162 :: TyFun b (a ~> c) -> Type) (a6989586621679144163 :: b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (FlipSym1 a6989586621679144162 :: TyFun b (a ~> c) -> Type) (a6989586621679144163 :: b) = FlipSym2 a6989586621679144162 a6989586621679144163

data FlipSym2 (a6989586621679144162 :: (~>) a ((~>) b c)) (a6989586621679144163 :: 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 a6989586621679144162 a6989586621679144163 :: TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FlipSym2 a6989586621679144162 a6989586621679144163 :: TyFun a c -> Type) (a6989586621679144164 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (FlipSym2 a6989586621679144162 a6989586621679144163 :: TyFun a c -> Type) (a6989586621679144164 :: a) = Flip a6989586621679144162 a6989586621679144163 a6989586621679144164

type family FlipSym3 (a6989586621679144162 :: (~>) a ((~>) b c)) (a6989586621679144163 :: b) (a6989586621679144164 :: a) :: c where ... Source #

Equations

FlipSym3 a6989586621679144162 a6989586621679144163 a6989586621679144164 = Flip a6989586621679144162 a6989586621679144163 a6989586621679144164

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) (a6989586621679144143 :: a ~> b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (($@#@$) :: TyFun (a ~> b) (a ~> b) -> Type) (a6989586621679144143 :: a ~> b) = ($@#@$$) a6989586621679144143

data ($@#@$$) (a6989586621679144143 :: (~>) 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 (($@#@$$) a6989586621679144143 :: TyFun a b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (($@#@$$) a6989586621679144143 :: TyFun a b -> Type) (a6989586621679144144 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (($@#@$$) a6989586621679144143 :: TyFun a b -> Type) (a6989586621679144144 :: a) = a6989586621679144143 $ a6989586621679144144

type family (a6989586621679144143 :: (~>) a b) $@#@$$$ (a6989586621679144144 :: a) :: b where ... infixr 0 Source #

Equations

a6989586621679144143 $@#@$$$ a6989586621679144144 = ($) a6989586621679144143 a6989586621679144144

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) (a6989586621679144116 :: a ~> Bool) Source #
Instance details Defined in GHC.Base.Singletons type Apply (UntilSym0 :: TyFun (a ~> Bool) ((a ~> a) ~> (a ~> a)) -> Type) (a6989586621679144116 :: a ~> Bool) = UntilSym1 a6989586621679144116

data UntilSym1 (a6989586621679144116 :: (~>) 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 a6989586621679144116 :: 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 a6989586621679144116 :: TyFun (a ~> a) (a ~> a) -> Type) (a6989586621679144117 :: a ~> a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (UntilSym1 a6989586621679144116 :: TyFun (a ~> a) (a ~> a) -> Type) (a6989586621679144117 :: a ~> a) = UntilSym2 a6989586621679144116 a6989586621679144117

data UntilSym2 (a6989586621679144116 :: (~>) a Bool) (a6989586621679144117 :: (~>) 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 a6989586621679144116 a6989586621679144117 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (UntilSym2 a6989586621679144116 a6989586621679144117 :: TyFun a a -> Type) (a6989586621679144118 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (UntilSym2 a6989586621679144116 a6989586621679144117 :: TyFun a a -> Type) (a6989586621679144118 :: a) = Until a6989586621679144116 a6989586621679144117 a6989586621679144118

type family UntilSym3 (a6989586621679144116 :: (~>) a Bool) (a6989586621679144117 :: (~>) a a) (a6989586621679144118 :: a) :: a where ... Source #

Equations

UntilSym3 a6989586621679144116 a6989586621679144117 a6989586621679144118 = Until a6989586621679144116 a6989586621679144117 a6989586621679144118

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) (a6989586621679144154 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (AsTypeOfSym0 :: TyFun a (a ~> a) -> Type) (a6989586621679144154 :: a) = AsTypeOfSym1 a6989586621679144154

data AsTypeOfSym1 (a6989586621679144154 :: 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 a6989586621679144154 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (AsTypeOfSym1 a6989586621679144154 :: TyFun a a -> Type) (a6989586621679144155 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (AsTypeOfSym1 a6989586621679144154 :: TyFun a a -> Type) (a6989586621679144155 :: a) = AsTypeOf a6989586621679144154 a6989586621679144155

type family AsTypeOfSym2 (a6989586621679144154 :: a) (a6989586621679144155 :: a) :: a where ... Source #

Equations

AsTypeOfSym2 a6989586621679144154 a6989586621679144155 = AsTypeOf a6989586621679144154 a6989586621679144155

data ErrorSym0 :: (~>) Symbol a 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 Symbol a -> Type) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ErrorSym0 :: TyFun Symbol k2 -> Type) (a6989586621679450964 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Apply (ErrorSym0 :: TyFun Symbol k2 -> Type) (a6989586621679450964 :: Symbol) = Error a6989586621679450964 :: k2

type family ErrorSym1 (a6989586621679450964 :: Symbol) :: a where ... Source #

Equations

ErrorSym1 a6989586621679450964 = Error a6989586621679450964

data ErrorWithoutStackTraceSym0 :: (~>) Symbol a 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 Symbol a -> Type) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ErrorWithoutStackTraceSym0 :: TyFun Symbol k2 -> Type) (a6989586621679451222 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Apply (ErrorWithoutStackTraceSym0 :: TyFun Symbol k2 -> Type) (a6989586621679451222 :: Symbol) = ErrorWithoutStackTrace a6989586621679451222 :: k2

type family ErrorWithoutStackTraceSym1 (a6989586621679451222 :: Symbol) :: a where ... Source #

Equations

ErrorWithoutStackTraceSym1 a6989586621679451222 = ErrorWithoutStackTrace a6989586621679451222

type family UndefinedSym0 :: a 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) (a6989586621679144107 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (SeqSym0 :: TyFun a (b ~> b) -> Type) (a6989586621679144107 :: a) = SeqSym1 a6989586621679144107 :: TyFun b b -> Type

data SeqSym1 (a6989586621679144107 :: 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 a6989586621679144107 :: TyFun b b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (SeqSym1 a6989586621679144107 :: TyFun b b -> Type) (a6989586621679144108 :: b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (SeqSym1 a6989586621679144107 :: TyFun b b -> Type) (a6989586621679144108 :: b) = Seq a6989586621679144107 a6989586621679144108

type family SeqSym2 (a6989586621679144107 :: a) (a6989586621679144108 :: b) :: b where ... infixr 0 Source #

Equations

SeqSym2 a6989586621679144107 a6989586621679144108 = Seq a6989586621679144107 a6989586621679144108

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) (a6989586621679144134 :: a ~> b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (($!@#@$) :: TyFun (a ~> b) (a ~> b) -> Type) (a6989586621679144134 :: a ~> b) = ($!@#@$$) a6989586621679144134

data ($!@#@$$) (a6989586621679144134 :: (~>) 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 (($!@#@$$) a6989586621679144134 :: TyFun a b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (($!@#@$$) a6989586621679144134 :: TyFun a b -> Type) (a6989586621679144135 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (($!@#@$$) a6989586621679144134 :: TyFun a b -> Type) (a6989586621679144135 :: a) = a6989586621679144134 $! a6989586621679144135

type family (a6989586621679144134 :: (~>) a b) $!@#@$$$ (a6989586621679144135 :: a) :: b where ... infixr 0 Source #

Equations

a6989586621679144134 $!@#@$$$ a6989586621679144135 = ($!) a6989586621679144134 a6989586621679144135

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) (a6989586621679144206 :: a ~> b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (MapSym0 :: TyFun (a ~> b) ([a] ~> [b]) -> Type) (a6989586621679144206 :: a ~> b) = MapSym1 a6989586621679144206

data MapSym1 (a6989586621679144206 :: (~>) 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 a6989586621679144206 :: TyFun [a] [b] -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MapSym1 a6989586621679144206 :: TyFun [a] [b] -> Type) (a6989586621679144207 :: [a]) Source #
Instance details Defined in GHC.Base.Singletons type Apply (MapSym1 a6989586621679144206 :: TyFun [a] [b] -> Type) (a6989586621679144207 :: [a]) = Map a6989586621679144206 a6989586621679144207

type family MapSym2 (a6989586621679144206 :: (~>) a b) (a6989586621679144207 :: [a]) :: [b] where ... Source #

Equations

MapSym2 a6989586621679144206 a6989586621679144207 = Map a6989586621679144206 a6989586621679144207

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) (a6989586621679144197 :: [a]) Source #
Instance details Defined in GHC.Base.Singletons type Apply ((++@#@$) :: TyFun [a] ([a] ~> [a]) -> Type) (a6989586621679144197 :: [a]) = (++@#@$$) a6989586621679144197

data (++@#@$$) (a6989586621679144197 :: [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 ((++@#@$$) a6989586621679144197 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((++@#@$$) a6989586621679144197 :: TyFun [a] [a] -> Type) (a6989586621679144198 :: [a]) Source #
Instance details Defined in GHC.Base.Singletons type Apply ((++@#@$$) a6989586621679144197 :: TyFun [a] [a] -> Type) (a6989586621679144198 :: [a]) = a6989586621679144197 ++ a6989586621679144198

type family (a6989586621679144197 :: [a]) ++@#@$$$ (a6989586621679144198 :: [a]) :: [a] where ... infixr 5 Source #

Equations

a6989586621679144197 ++@#@$$$ a6989586621679144198 = (++) a6989586621679144197 a6989586621679144198

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) (a6989586621679653530 :: a ~> Bool) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (FilterSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) (a6989586621679653530 :: a ~> Bool) = FilterSym1 a6989586621679653530

data FilterSym1 (a6989586621679653530 :: (~>) 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 a6989586621679653530 :: 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 a6989586621679653530 :: TyFun [a] [a] -> Type) (a6989586621679653531 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (FilterSym1 a6989586621679653530 :: TyFun [a] [a] -> Type) (a6989586621679653531 :: [a]) = Filter a6989586621679653530 a6989586621679653531

type family FilterSym2 (a6989586621679653530 :: (~>) a Bool) (a6989586621679653531 :: [a]) :: [a] where ... Source #

Equations

FilterSym2 a6989586621679653530 a6989586621679653531 = Filter a6989586621679653530 a6989586621679653531

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) (a6989586621679654300 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (HeadSym0 :: TyFun [a] a -> Type) (a6989586621679654300 :: [a]) = Head a6989586621679654300

type family HeadSym1 (a6989586621679654300 :: [a]) :: a where ... Source #

Equations

HeadSym1 a6989586621679654300 = Head a6989586621679654300

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) (a6989586621679654294 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (LastSym0 :: TyFun [a] a -> Type) (a6989586621679654294 :: [a]) = Last a6989586621679654294

type family LastSym1 (a6989586621679654294 :: [a]) :: a where ... Source #

Equations

LastSym1 a6989586621679654294 = Last a6989586621679654294

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) (a6989586621679654290 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (TailSym0 :: TyFun [a] [a] -> Type) (a6989586621679654290 :: [a]) = Tail a6989586621679654290

type family TailSym1 (a6989586621679654290 :: [a]) :: [a] where ... Source #

Equations

TailSym1 a6989586621679654290 = Tail a6989586621679654290

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) (a6989586621679654278 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (InitSym0 :: TyFun [a] [a] -> Type) (a6989586621679654278 :: [a]) = Init a6989586621679654278

type family InitSym1 (a6989586621679654278 :: [a]) :: [a] where ... Source #

Equations

InitSym1 a6989586621679654278 = Init a6989586621679654278

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) (a6989586621679653138 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply ((!!@#@$) :: TyFun [a] (Natural ~> a) -> Type) (a6989586621679653138 :: [a]) = (!!@#@$$) a6989586621679653138

data (!!@#@$$) (a6989586621679653138 :: [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 ((!!@#@$$) a6989586621679653138 :: TyFun Natural a -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((!!@#@$$) a6989586621679653138 :: TyFun Natural a -> Type) (a6989586621679653139 :: Natural) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply ((!!@#@$$) a6989586621679653138 :: TyFun Natural a -> Type) (a6989586621679653139 :: Natural) = a6989586621679653138 !! a6989586621679653139

type family (a6989586621679653138 :: [a]) !!@#@$$$ (a6989586621679653139 :: Natural) :: a where ... infixl 9 Source #

Equations

a6989586621679653138 !!@#@$$$ a6989586621679653139 = (!!) a6989586621679653138 a6989586621679653139

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) (a6989586621680110598 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (NullSym0 :: TyFun (t a) Bool -> Type) (a6989586621680110598 :: t a) = Null a6989586621680110598

type family NullSym1 (a6989586621680110598 :: t a) :: Bool where ... Source #

Equations

NullSym1 a6989586621680110598 = Null a6989586621680110598

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) (a6989586621680110601 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (LengthSym0 :: TyFun (t a) Natural -> Type) (a6989586621680110601 :: t a) = Length a6989586621680110601

type family LengthSym1 (a6989586621680110601 :: t a) :: Natural where ... Source #

Equations

LengthSym1 a6989586621680110601 = Length a6989586621680110601

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) (a6989586621679654263 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ReverseSym0 :: TyFun [a] [a] -> Type) (a6989586621679654263 :: [a]) = Reverse a6989586621679654263

type family ReverseSym1 (a6989586621679654263 :: [a]) :: [a] where ... Source #

Equations

ReverseSym1 a6989586621679654263 = Reverse a6989586621679654263

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) (a6989586621680110424 :: t Bool) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (AndSym0 :: TyFun (t Bool) Bool -> Type) (a6989586621680110424 :: t Bool) = And a6989586621680110424

type family AndSym1 (a6989586621680110424 :: t Bool) :: Bool where ... Source #

Equations

AndSym1 a6989586621680110424 = And a6989586621680110424

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) (a6989586621680110418 :: t Bool) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (OrSym0 :: TyFun (t Bool) Bool -> Type) (a6989586621680110418 :: t Bool) = Or a6989586621680110418

type family OrSym1 (a6989586621680110418 :: t Bool) :: Bool where ... Source #

Equations

OrSym1 a6989586621680110418 = Or a6989586621680110418

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) (a6989586621680110410 :: a ~> Bool) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (AnySym0 :: TyFun (a ~> Bool) (t a ~> Bool) -> Type) (a6989586621680110410 :: a ~> Bool) = AnySym1 a6989586621680110410 :: TyFun (t a) Bool -> Type

data AnySym1 (a6989586621680110410 :: (~>) 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 a6989586621680110410 :: TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (AnySym1 a6989586621680110410 :: TyFun (t a) Bool -> Type) (a6989586621680110411 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (AnySym1 a6989586621680110410 :: TyFun (t a) Bool -> Type) (a6989586621680110411 :: t a) = Any a6989586621680110410 a6989586621680110411

type family AnySym2 (a6989586621680110410 :: (~>) a Bool) (a6989586621680110411 :: t a) :: Bool where ... Source #

Equations

AnySym2 a6989586621680110410 a6989586621680110411 = Any a6989586621680110410 a6989586621680110411

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) (a6989586621680110401 :: a ~> Bool) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (AllSym0 :: TyFun (a ~> Bool) (t a ~> Bool) -> Type) (a6989586621680110401 :: a ~> Bool) = AllSym1 a6989586621680110401 :: TyFun (t a) Bool -> Type

data AllSym1 (a6989586621680110401 :: (~>) 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 a6989586621680110401 :: TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (AllSym1 a6989586621680110401 :: TyFun (t a) Bool -> Type) (a6989586621680110402 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (AllSym1 a6989586621680110401 :: TyFun (t a) Bool -> Type) (a6989586621680110402 :: t a) = All a6989586621680110401 a6989586621680110402

type family AllSym2 (a6989586621680110401 :: (~>) a Bool) (a6989586621680110402 :: t a) :: Bool where ... Source #

Equations

AllSym2 a6989586621680110401 a6989586621680110402 = All a6989586621680110401 a6989586621680110402

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) (a6989586621680110440 :: t [a]) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (ConcatSym0 :: TyFun (t [a]) [a] -> Type) (a6989586621680110440 :: t [a]) = Concat a6989586621680110440

type family ConcatSym1 (a6989586621680110440 :: t [a]) :: [a] where ... Source #

Equations

ConcatSym1 a6989586621680110440 = Concat a6989586621680110440

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) (a6989586621680110429 :: a ~> [b]) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (ConcatMapSym0 :: TyFun (a ~> [b]) (t a ~> [b]) -> Type) (a6989586621680110429 :: a ~> [b]) = ConcatMapSym1 a6989586621680110429 :: TyFun (t a) [b] -> Type

data ConcatMapSym1 (a6989586621680110429 :: (~>) 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 a6989586621680110429 :: TyFun (t a) [b] -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ConcatMapSym1 a6989586621680110429 :: TyFun (t a) [b] -> Type) (a6989586621680110430 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (ConcatMapSym1 a6989586621680110429 :: TyFun (t a) [b] -> Type) (a6989586621680110430 :: t a) = ConcatMap a6989586621680110429 a6989586621680110430

type family ConcatMapSym2 (a6989586621680110429 :: (~>) a [b]) (a6989586621680110430 :: t a) :: [b] where ... Source #

Equations

ConcatMapSym2 a6989586621680110429 a6989586621680110430 = ConcatMap a6989586621680110429 a6989586621680110430

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) (a6989586621679654068 :: b ~> (a ~> b)) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ScanlSym0 :: TyFun (b ~> (a ~> b)) (b ~> ([a] ~> [b])) -> Type) (a6989586621679654068 :: b ~> (a ~> b)) = ScanlSym1 a6989586621679654068

data ScanlSym1 (a6989586621679654068 :: (~>) 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 a6989586621679654068 :: TyFun b ([a] ~> [b]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ScanlSym1 a6989586621679654068 :: TyFun b ([a] ~> [b]) -> Type) (a6989586621679654069 :: b) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ScanlSym1 a6989586621679654068 :: TyFun b ([a] ~> [b]) -> Type) (a6989586621679654069 :: b) = ScanlSym2 a6989586621679654068 a6989586621679654069

data ScanlSym2 (a6989586621679654068 :: (~>) b ((~>) a b)) (a6989586621679654069 :: 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 a6989586621679654068 a6989586621679654069 :: TyFun [a] [b] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ScanlSym2 a6989586621679654068 a6989586621679654069 :: TyFun [a] [b] -> Type) (a6989586621679654070 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ScanlSym2 a6989586621679654068 a6989586621679654069 :: TyFun [a] [b] -> Type) (a6989586621679654070 :: [a]) = Scanl a6989586621679654068 a6989586621679654069 a6989586621679654070

type family ScanlSym3 (a6989586621679654068 :: (~>) b ((~>) a b)) (a6989586621679654069 :: b) (a6989586621679654070 :: [a]) :: [b] where ... Source #

Equations

ScanlSym3 a6989586621679654068 a6989586621679654069 a6989586621679654070 = Scanl a6989586621679654068 a6989586621679654069 a6989586621679654070

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) (a6989586621679654059 :: a ~> (a ~> a)) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Scanl1Sym0 :: TyFun (a ~> (a ~> a)) ([a] ~> [a]) -> Type) (a6989586621679654059 :: a ~> (a ~> a)) = Scanl1Sym1 a6989586621679654059

data Scanl1Sym1 (a6989586621679654059 :: (~>) 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 a6989586621679654059 :: 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 a6989586621679654059 :: TyFun [a] [a] -> Type) (a6989586621679654060 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Scanl1Sym1 a6989586621679654059 :: TyFun [a] [a] -> Type) (a6989586621679654060 :: [a]) = Scanl1 a6989586621679654059 a6989586621679654060

type family Scanl1Sym2 (a6989586621679654059 :: (~>) a ((~>) a a)) (a6989586621679654060 :: [a]) :: [a] where ... Source #

Equations

Scanl1Sym2 a6989586621679654059 a6989586621679654060 = Scanl1 a6989586621679654059 a6989586621679654060

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) (a6989586621679654041 :: a ~> (b ~> b)) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ScanrSym0 :: TyFun (a ~> (b ~> b)) (b ~> ([a] ~> [b])) -> Type) (a6989586621679654041 :: a ~> (b ~> b)) = ScanrSym1 a6989586621679654041

data ScanrSym1 (a6989586621679654041 :: (~>) 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 a6989586621679654041 :: TyFun b ([a] ~> [b]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ScanrSym1 a6989586621679654041 :: TyFun b ([a] ~> [b]) -> Type) (a6989586621679654042 :: b) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ScanrSym1 a6989586621679654041 :: TyFun b ([a] ~> [b]) -> Type) (a6989586621679654042 :: b) = ScanrSym2 a6989586621679654041 a6989586621679654042

data ScanrSym2 (a6989586621679654041 :: (~>) a ((~>) b b)) (a6989586621679654042 :: 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 a6989586621679654041 a6989586621679654042 :: TyFun [a] [b] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ScanrSym2 a6989586621679654041 a6989586621679654042 :: TyFun [a] [b] -> Type) (a6989586621679654043 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ScanrSym2 a6989586621679654041 a6989586621679654042 :: TyFun [a] [b] -> Type) (a6989586621679654043 :: [a]) = Scanr a6989586621679654041 a6989586621679654042 a6989586621679654043

type family ScanrSym3 (a6989586621679654041 :: (~>) a ((~>) b b)) (a6989586621679654042 :: b) (a6989586621679654043 :: [a]) :: [b] where ... Source #

Equations

ScanrSym3 a6989586621679654041 a6989586621679654042 a6989586621679654043 = Scanr a6989586621679654041 a6989586621679654042 a6989586621679654043

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) (a6989586621679654021 :: a ~> (a ~> a)) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Scanr1Sym0 :: TyFun (a ~> (a ~> a)) ([a] ~> [a]) -> Type) (a6989586621679654021 :: a ~> (a ~> a)) = Scanr1Sym1 a6989586621679654021

data Scanr1Sym1 (a6989586621679654021 :: (~>) 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 a6989586621679654021 :: 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 a6989586621679654021 :: TyFun [a] [a] -> Type) (a6989586621679654022 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Scanr1Sym1 a6989586621679654021 :: TyFun [a] [a] -> Type) (a6989586621679654022 :: [a]) = Scanr1 a6989586621679654021 a6989586621679654022

type family Scanr1Sym2 (a6989586621679654021 :: (~>) a ((~>) a a)) (a6989586621679654022 :: [a]) :: [a] where ... Source #

Equations

Scanr1Sym2 a6989586621679654021 a6989586621679654022 = Scanr1 a6989586621679654021 a6989586621679654022

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) (a6989586621679653158 :: Natural) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ReplicateSym0 :: TyFun Natural (a ~> [a]) -> Type) (a6989586621679653158 :: Natural) = ReplicateSym1 a6989586621679653158 :: TyFun a [a] -> Type

data ReplicateSym1 (a6989586621679653158 :: 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 a6989586621679653158 :: TyFun a [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ReplicateSym1 a6989586621679653158 :: TyFun a [a] -> Type) (a6989586621679653159 :: a) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ReplicateSym1 a6989586621679653158 :: TyFun a [a] -> Type) (a6989586621679653159 :: a) = Replicate a6989586621679653158 a6989586621679653159

type family ReplicateSym2 (a6989586621679653158 :: Natural) (a6989586621679653159 :: a) :: [a] where ... Source #

Equations

ReplicateSym2 a6989586621679653158 a6989586621679653159 = Replicate a6989586621679653158 a6989586621679653159

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) (a6989586621679653313 :: Natural) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (TakeSym0 :: TyFun Natural ([a] ~> [a]) -> Type) (a6989586621679653313 :: Natural) = TakeSym1 a6989586621679653313 :: TyFun [a] [a] -> Type

data TakeSym1 (a6989586621679653313 :: 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 a6989586621679653313 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (TakeSym1 a6989586621679653313 :: TyFun [a] [a] -> Type) (a6989586621679653314 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (TakeSym1 a6989586621679653313 :: TyFun [a] [a] -> Type) (a6989586621679653314 :: [a]) = Take a6989586621679653313 a6989586621679653314

type family TakeSym2 (a6989586621679653313 :: Natural) (a6989586621679653314 :: [a]) :: [a] where ... Source #

Equations

TakeSym2 a6989586621679653313 a6989586621679653314 = Take a6989586621679653313 a6989586621679653314

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) (a6989586621679653300 :: Natural) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (DropSym0 :: TyFun Natural ([a] ~> [a]) -> Type) (a6989586621679653300 :: Natural) = DropSym1 a6989586621679653300 :: TyFun [a] [a] -> Type

data DropSym1 (a6989586621679653300 :: 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 a6989586621679653300 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (DropSym1 a6989586621679653300 :: TyFun [a] [a] -> Type) (a6989586621679653301 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (DropSym1 a6989586621679653300 :: TyFun [a] [a] -> Type) (a6989586621679653301 :: [a]) = Drop a6989586621679653300 a6989586621679653301

type family DropSym2 (a6989586621679653300 :: Natural) (a6989586621679653301 :: [a]) :: [a] where ... Source #

Equations

DropSym2 a6989586621679653300 a6989586621679653301 = Drop a6989586621679653300 a6989586621679653301

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) (a6989586621679653430 :: a ~> Bool) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (TakeWhileSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) (a6989586621679653430 :: a ~> Bool) = TakeWhileSym1 a6989586621679653430

data TakeWhileSym1 (a6989586621679653430 :: (~>) 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 a6989586621679653430 :: 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 a6989586621679653430 :: TyFun [a] [a] -> Type) (a6989586621679653431 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (TakeWhileSym1 a6989586621679653430 :: TyFun [a] [a] -> Type) (a6989586621679653431 :: [a]) = TakeWhile a6989586621679653430 a6989586621679653431

type family TakeWhileSym2 (a6989586621679653430 :: (~>) a Bool) (a6989586621679653431 :: [a]) :: [a] where ... Source #

Equations

TakeWhileSym2 a6989586621679653430 a6989586621679653431 = TakeWhile a6989586621679653430 a6989586621679653431

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) (a6989586621679653415 :: a ~> Bool) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (DropWhileSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) (a6989586621679653415 :: a ~> Bool) = DropWhileSym1 a6989586621679653415

data DropWhileSym1 (a6989586621679653415 :: (~>) 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 a6989586621679653415 :: 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 a6989586621679653415 :: TyFun [a] [a] -> Type) (a6989586621679653416 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (DropWhileSym1 a6989586621679653415 :: TyFun [a] [a] -> Type) (a6989586621679653416 :: [a]) = DropWhile a6989586621679653415 a6989586621679653416

type family DropWhileSym2 (a6989586621679653415 :: (~>) a Bool) (a6989586621679653416 :: [a]) :: [a] where ... Source #

Equations

DropWhileSym2 a6989586621679653415 a6989586621679653416 = DropWhile a6989586621679653415 a6989586621679653416

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) (a6989586621679653398 :: a ~> Bool) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (DropWhileEndSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) (a6989586621679653398 :: a ~> Bool) = DropWhileEndSym1 a6989586621679653398

data DropWhileEndSym1 (a6989586621679653398 :: (~>) 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 a6989586621679653398 :: 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 a6989586621679653398 :: TyFun [a] [a] -> Type) (a6989586621679653399 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (DropWhileEndSym1 a6989586621679653398 :: TyFun [a] [a] -> Type) (a6989586621679653399 :: [a]) = DropWhileEnd a6989586621679653398 a6989586621679653399

type family DropWhileEndSym2 (a6989586621679653398 :: (~>) a Bool) (a6989586621679653399 :: [a]) :: [a] where ... Source #

Equations

DropWhileEndSym2 a6989586621679653398 a6989586621679653399 = DropWhileEnd a6989586621679653398 a6989586621679653399

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) (a6989586621679653361 :: a ~> Bool) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (SpanSym0 :: TyFun (a ~> Bool) ([a] ~> ([a], [a])) -> Type) (a6989586621679653361 :: a ~> Bool) = SpanSym1 a6989586621679653361

data SpanSym1 (a6989586621679653361 :: (~>) 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 a6989586621679653361 :: 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 a6989586621679653361 :: TyFun [a] ([a], [a]) -> Type) (a6989586621679653362 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (SpanSym1 a6989586621679653361 :: TyFun [a] ([a], [a]) -> Type) (a6989586621679653362 :: [a]) = Span a6989586621679653361 a6989586621679653362

type family SpanSym2 (a6989586621679653361 :: (~>) a Bool) (a6989586621679653362 :: [a]) :: ([a], [a]) where ... Source #

Equations

SpanSym2 a6989586621679653361 a6989586621679653362 = Span a6989586621679653361 a6989586621679653362

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) (a6989586621679653326 :: a ~> Bool) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (BreakSym0 :: TyFun (a ~> Bool) ([a] ~> ([a], [a])) -> Type) (a6989586621679653326 :: a ~> Bool) = BreakSym1 a6989586621679653326

data BreakSym1 (a6989586621679653326 :: (~>) 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 a6989586621679653326 :: 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 a6989586621679653326 :: TyFun [a] ([a], [a]) -> Type) (a6989586621679653327 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (BreakSym1 a6989586621679653326 :: TyFun [a] ([a], [a]) -> Type) (a6989586621679653327 :: [a]) = Break a6989586621679653326 a6989586621679653327

type family BreakSym2 (a6989586621679653326 :: (~>) a Bool) (a6989586621679653327 :: [a]) :: ([a], [a]) where ... Source #

Equations

BreakSym2 a6989586621679653326 a6989586621679653327 = Break a6989586621679653326 a6989586621679653327

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) (a6989586621679653293 :: Natural) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (SplitAtSym0 :: TyFun Natural ([a] ~> ([a], [a])) -> Type) (a6989586621679653293 :: Natural) = SplitAtSym1 a6989586621679653293 :: TyFun [a] ([a], [a]) -> Type

data SplitAtSym1 (a6989586621679653293 :: 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 a6989586621679653293 :: TyFun [a] ([a], [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (SplitAtSym1 a6989586621679653293 :: TyFun [a] ([a], [a]) -> Type) (a6989586621679653294 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (SplitAtSym1 a6989586621679653293 :: TyFun [a] ([a], [a]) -> Type) (a6989586621679653294 :: [a]) = SplitAt a6989586621679653293 a6989586621679653294

type family SplitAtSym2 (a6989586621679653293 :: Natural) (a6989586621679653294 :: [a]) :: ([a], [a]) where ... Source #

Equations

SplitAtSym2 a6989586621679653293 a6989586621679653294 = SplitAt a6989586621679653293 a6989586621679653294

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) (a6989586621680110352 :: a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (NotElemSym0 :: TyFun a (t a ~> Bool) -> Type) (a6989586621680110352 :: a) = NotElemSym1 a6989586621680110352 :: TyFun (t a) Bool -> Type

data NotElemSym1 (a6989586621680110352 :: 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 a6989586621680110352 :: TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (NotElemSym1 a6989586621680110352 :: TyFun (t a) Bool -> Type) (a6989586621680110353 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (NotElemSym1 a6989586621680110352 :: TyFun (t a) Bool -> Type) (a6989586621680110353 :: t a) = NotElem a6989586621680110352 a6989586621680110353

type family NotElemSym2 (a6989586621680110352 :: a) (a6989586621680110353 :: t a) :: Bool where ... Source #

Equations

NotElemSym2 a6989586621680110352 a6989586621680110353 = NotElem a6989586621680110352 a6989586621680110353

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) (a6989586621679653221 :: a) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (LookupSym0 :: TyFun a ([(a, b)] ~> Maybe b) -> Type) (a6989586621679653221 :: a) = LookupSym1 a6989586621679653221 :: TyFun [(a, b)] (Maybe b) -> Type

data LookupSym1 (a6989586621679653221 :: 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 a6989586621679653221 :: TyFun [(a, b)] (Maybe b) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (LookupSym1 a6989586621679653221 :: TyFun [(a, b)] (Maybe b) -> Type) (a6989586621679653222 :: [(a, b)]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (LookupSym1 a6989586621679653221 :: TyFun [(a, b)] (Maybe b) -> Type) (a6989586621679653222 :: [(a, b)]) = Lookup a6989586621679653221 a6989586621679653222

type family LookupSym2 (a6989586621679653221 :: a) (a6989586621679653222 :: [(a, b)]) :: Maybe b where ... Source #

Equations

LookupSym2 a6989586621679653221 a6989586621679653222 = Lookup a6989586621679653221 a6989586621679653222

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) (a6989586621679653848 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipSym0 :: TyFun [a] ([b] ~> [(a, b)]) -> Type) (a6989586621679653848 :: [a]) = ZipSym1 a6989586621679653848 :: TyFun [b] [(a, b)] -> Type

data ZipSym1 (a6989586621679653848 :: [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 a6989586621679653848 :: TyFun [b] [(a, b)] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipSym1 a6989586621679653848 :: TyFun [b] [(a, b)] -> Type) (a6989586621679653849 :: [b]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipSym1 a6989586621679653848 :: TyFun [b] [(a, b)] -> Type) (a6989586621679653849 :: [b]) = Zip a6989586621679653848 a6989586621679653849

type family ZipSym2 (a6989586621679653848 :: [a]) (a6989586621679653849 :: [b]) :: [(a, b)] where ... Source #

Equations

ZipSym2 a6989586621679653848 a6989586621679653849 = Zip a6989586621679653848 a6989586621679653849

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) (a6989586621679653836 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Zip3Sym0 :: TyFun [a] ([b] ~> ([c] ~> [(a, b, c)])) -> Type) (a6989586621679653836 :: [a]) = Zip3Sym1 a6989586621679653836 :: TyFun [b] ([c] ~> [(a, b, c)]) -> Type

data Zip3Sym1 (a6989586621679653836 :: [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 a6989586621679653836 :: TyFun [b] ([c] ~> [(a, b, c)]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (Zip3Sym1 a6989586621679653836 :: TyFun [b] ([c] ~> [(a, b, c)]) -> Type) (a6989586621679653837 :: [b]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Zip3Sym1 a6989586621679653836 :: TyFun [b] ([c] ~> [(a, b, c)]) -> Type) (a6989586621679653837 :: [b]) = Zip3Sym2 a6989586621679653836 a6989586621679653837 :: TyFun [c] [(a, b, c)] -> Type

data Zip3Sym2 (a6989586621679653836 :: [a]) (a6989586621679653837 :: [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 a6989586621679653836 a6989586621679653837 :: TyFun [c] [(a, b, c)] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (Zip3Sym2 a6989586621679653836 a6989586621679653837 :: TyFun [c] [(a, b, c)] -> Type) (a6989586621679653838 :: [c]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Zip3Sym2 a6989586621679653836 a6989586621679653837 :: TyFun [c] [(a, b, c)] -> Type) (a6989586621679653838 :: [c]) = Zip3 a6989586621679653836 a6989586621679653837 a6989586621679653838

type family Zip3Sym3 (a6989586621679653836 :: [a]) (a6989586621679653837 :: [b]) (a6989586621679653838 :: [c]) :: [(a, b, c)] where ... Source #

Equations

Zip3Sym3 a6989586621679653836 a6989586621679653837 a6989586621679653838 = Zip3 a6989586621679653836 a6989586621679653837 a6989586621679653838

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) (a6989586621679653824 :: a ~> (b ~> c)) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipWithSym0 :: TyFun (a ~> (b ~> c)) ([a] ~> ([b] ~> [c])) -> Type) (a6989586621679653824 :: a ~> (b ~> c)) = ZipWithSym1 a6989586621679653824

data ZipWithSym1 (a6989586621679653824 :: (~>) 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 a6989586621679653824 :: TyFun [a] ([b] ~> [c]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipWithSym1 a6989586621679653824 :: TyFun [a] ([b] ~> [c]) -> Type) (a6989586621679653825 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipWithSym1 a6989586621679653824 :: TyFun [a] ([b] ~> [c]) -> Type) (a6989586621679653825 :: [a]) = ZipWithSym2 a6989586621679653824 a6989586621679653825

data ZipWithSym2 (a6989586621679653824 :: (~>) a ((~>) b c)) (a6989586621679653825 :: [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 a6989586621679653824 a6989586621679653825 :: TyFun [b] [c] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipWithSym2 a6989586621679653824 a6989586621679653825 :: TyFun [b] [c] -> Type) (a6989586621679653826 :: [b]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipWithSym2 a6989586621679653824 a6989586621679653825 :: TyFun [b] [c] -> Type) (a6989586621679653826 :: [b]) = ZipWith a6989586621679653824 a6989586621679653825 a6989586621679653826

type family ZipWithSym3 (a6989586621679653824 :: (~>) a ((~>) b c)) (a6989586621679653825 :: [a]) (a6989586621679653826 :: [b]) :: [c] where ... Source #

Equations

ZipWithSym3 a6989586621679653824 a6989586621679653825 a6989586621679653826 = ZipWith a6989586621679653824 a6989586621679653825 a6989586621679653826

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) (a6989586621679653809 :: 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) (a6989586621679653809 :: a ~> (b ~> (c ~> d))) = ZipWith3Sym1 a6989586621679653809

data ZipWith3Sym1 (a6989586621679653809 :: (~>) 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 a6989586621679653809 :: TyFun [a] ([b] ~> ([c] ~> [d])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipWith3Sym1 a6989586621679653809 :: TyFun [a] ([b] ~> ([c] ~> [d])) -> Type) (a6989586621679653810 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipWith3Sym1 a6989586621679653809 :: TyFun [a] ([b] ~> ([c] ~> [d])) -> Type) (a6989586621679653810 :: [a]) = ZipWith3Sym2 a6989586621679653809 a6989586621679653810

data ZipWith3Sym2 (a6989586621679653809 :: (~>) a ((~>) b ((~>) c d))) (a6989586621679653810 :: [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 a6989586621679653809 a6989586621679653810 :: TyFun [b] ([c] ~> [d]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipWith3Sym2 a6989586621679653809 a6989586621679653810 :: TyFun [b] ([c] ~> [d]) -> Type) (a6989586621679653811 :: [b]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipWith3Sym2 a6989586621679653809 a6989586621679653810 :: TyFun [b] ([c] ~> [d]) -> Type) (a6989586621679653811 :: [b]) = ZipWith3Sym3 a6989586621679653809 a6989586621679653810 a6989586621679653811

data ZipWith3Sym3 (a6989586621679653809 :: (~>) a ((~>) b ((~>) c d))) (a6989586621679653810 :: [a]) (a6989586621679653811 :: [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 a6989586621679653809 a6989586621679653810 a6989586621679653811 :: TyFun [c] [d] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipWith3Sym3 a6989586621679653809 a6989586621679653810 a6989586621679653811 :: TyFun [c] [d] -> Type) (a6989586621679653812 :: [c]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipWith3Sym3 a6989586621679653809 a6989586621679653810 a6989586621679653811 :: TyFun [c] [d] -> Type) (a6989586621679653812 :: [c]) = ZipWith3 a6989586621679653809 a6989586621679653810 a6989586621679653811 a6989586621679653812

data UnzipSym0 :: (~>) [(a, b)] ([a], [b]) Source #

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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) (a6989586621679653790 :: [(a, b)]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (UnzipSym0 :: TyFun [(a, b)] ([a], [b]) -> Type) (a6989586621679653790 :: [(a, b)]) = Unzip a6989586621679653790

type family UnzipSym1 (a6989586621679653790 :: [(a, b)]) :: ([a], [b]) where ... Source #

Equations

UnzipSym1 a6989586621679653790 = Unzip a6989586621679653790

data Unzip3Sym0 :: (~>) [(a, b, c)] ([a], [b], [c]) Source #

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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) (a6989586621679653772 :: [(a, b, c)]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Unzip3Sym0 :: TyFun [(a, b, c)] ([a], [b], [c]) -> Type) (a6989586621679653772 :: [(a, b, c)]) = Unzip3 a6989586621679653772

type family Unzip3Sym1 (a6989586621679653772 :: [(a, b, c)]) :: ([a], [b], [c]) where ... Source #

Equations

Unzip3Sym1 a6989586621679653772 = Unzip3 a6989586621679653772

Functions on `Symbol`s

data UnlinesSym0 :: (~>) [Symbol] Symbol Source #

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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 (a6989586621679653675 :: [Symbol]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply UnlinesSym0 (a6989586621679653675 :: [Symbol]) = Unlines a6989586621679653675

type family UnlinesSym1 (a6989586621679653675 :: [Symbol]) :: Symbol where ... Source #

Equations

UnlinesSym1 a6989586621679653675 = Unlines a6989586621679653675

data UnwordsSym0 :: (~>) [Symbol] Symbol Source #

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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 (a6989586621679653665 :: [Symbol]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply UnwordsSym0 (a6989586621679653665 :: [Symbol]) = Unwords a6989586621679653665

type family UnwordsSym1 (a6989586621679653665 :: [Symbol]) :: Symbol where ... Source #

Equations

UnwordsSym1 a6989586621679653665 = Unwords a6989586621679653665

Converting to and from `Symbol`

Converting to `Symbol`

data ShowsPrecSym0 :: (~>) Natural ((~>) a ((~>) Symbol Symbol)) Source #

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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) (a6989586621679965742 :: Natural) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsPrecSym0 :: TyFun Natural (a ~> (Symbol ~> Symbol)) -> Type) (a6989586621679965742 :: Natural) = ShowsPrecSym1 a6989586621679965742 :: TyFun a (Symbol ~> Symbol) -> Type

data ShowsPrecSym1 (a6989586621679965742 :: Natural) :: (~>) a ((~>) Symbol Symbol) Source #

Instances

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 a6989586621679965742 :: TyFun a (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowsPrecSym1 a6989586621679965742 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621679965743 :: a) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsPrecSym1 a6989586621679965742 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621679965743 :: a) = ShowsPrecSym2 a6989586621679965742 a6989586621679965743

data ShowsPrecSym2 (a6989586621679965742 :: Natural) (a6989586621679965743 :: 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 a6989586621679965742 a6989586621679965743 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowsPrecSym2 a6989586621679965742 a6989586621679965743 :: TyFun Symbol Symbol -> Type) (a6989586621679965744 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsPrecSym2 a6989586621679965742 a6989586621679965743 :: TyFun Symbol Symbol -> Type) (a6989586621679965744 :: Symbol) = ShowsPrec a6989586621679965742 a6989586621679965743 a6989586621679965744

type family ShowsPrecSym3 (a6989586621679965742 :: Natural) (a6989586621679965743 :: a) (a6989586621679965744 :: Symbol) :: Symbol where ... Source #

Equations

ShowsPrecSym3 a6989586621679965742 a6989586621679965743 a6989586621679965744 = ShowsPrec a6989586621679965742 a6989586621679965743 a6989586621679965744

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) (a6989586621679965751 :: [a]) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621679965751 :: [a]) = ShowListSym1 a6989586621679965751

data ShowListSym1 (a6989586621679965751 :: [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 a6989586621679965751 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowListSym1 a6989586621679965751 :: TyFun Symbol Symbol -> Type) (a6989586621679965752 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowListSym1 a6989586621679965751 :: TyFun Symbol Symbol -> Type) (a6989586621679965752 :: Symbol) = ShowList a6989586621679965751 a6989586621679965752

type family ShowListSym2 (a6989586621679965751 :: [a]) (a6989586621679965752 :: Symbol) :: Symbol where ... Source #

Equations

ShowListSym2 a6989586621679965751 a6989586621679965752 = ShowList a6989586621679965751 a6989586621679965752

data Show_Sym0 :: (~>) a Symbol Source #

Instances

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) (a6989586621679965747 :: a) Source #
Instance details Defined in Text.Show.Singletons type Apply (Show_Sym0 :: TyFun a Symbol -> Type) (a6989586621679965747 :: a) = Show_ a6989586621679965747

type family Show_Sym1 (a6989586621679965747 :: a) :: Symbol where ... Source #

Equations

Show_Sym1 a6989586621679965747 = Show_ a6989586621679965747

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) (a6989586621679965734 :: a) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621679965734 :: a) = ShowsSym1 a6989586621679965734

data ShowsSym1 (a6989586621679965734 :: 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 a6989586621679965734 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowsSym1 a6989586621679965734 :: TyFun Symbol Symbol -> Type) (a6989586621679965735 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsSym1 a6989586621679965734 :: TyFun Symbol Symbol -> Type) (a6989586621679965735 :: Symbol) = Shows a6989586621679965734 a6989586621679965735

type family ShowsSym2 (a6989586621679965734 :: a) (a6989586621679965735 :: Symbol) :: Symbol where ... Source #

Equations

ShowsSym2 a6989586621679965734 a6989586621679965735 = Shows a6989586621679965734 a6989586621679965735

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 (a6989586621679965708 :: Char) Source #
Instance details Defined in Text.Show.Singletons type Apply ShowCharSym0 (a6989586621679965708 :: Char) = ShowCharSym1 a6989586621679965708

data ShowCharSym1 (a6989586621679965708 :: 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 a6989586621679965708 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowCharSym1 a6989586621679965708 :: TyFun Symbol Symbol -> Type) (a6989586621679965709 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowCharSym1 a6989586621679965708 :: TyFun Symbol Symbol -> Type) (a6989586621679965709 :: Symbol) = ShowChar a6989586621679965708 a6989586621679965709

type family ShowCharSym2 (a6989586621679965708 :: Char) (a6989586621679965709 :: Symbol) :: Symbol where ... Source #

Equations

ShowCharSym2 a6989586621679965708 a6989586621679965709 = ShowChar a6989586621679965708 a6989586621679965709

data ShowStringSym0 :: (~>) Symbol ((~>) Symbol Symbol) Source #

Instances

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 (a6989586621679965697 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply ShowStringSym0 (a6989586621679965697 :: Symbol) = ShowStringSym1 a6989586621679965697

data ShowStringSym1 (a6989586621679965697 :: 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 a6989586621679965697 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowStringSym1 a6989586621679965697 :: TyFun Symbol Symbol -> Type) (a6989586621679965698 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowStringSym1 a6989586621679965697 :: TyFun Symbol Symbol -> Type) (a6989586621679965698 :: Symbol) = ShowString a6989586621679965697 a6989586621679965698

type family ShowStringSym2 (a6989586621679965697 :: Symbol) (a6989586621679965698 :: Symbol) :: Symbol where ... Source #

Equations

ShowStringSym2 a6989586621679965697 a6989586621679965698 = ShowString a6989586621679965697 a6989586621679965698

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 (a6989586621679965681 :: Bool) Source #
Instance details Defined in Text.Show.Singletons type Apply ShowParenSym0 (a6989586621679965681 :: Bool) = ShowParenSym1 a6989586621679965681

data ShowParenSym1 (a6989586621679965681 :: 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 a6989586621679965681 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowParenSym1 a6989586621679965681 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) (a6989586621679965682 :: Symbol ~> Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowParenSym1 a6989586621679965681 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) (a6989586621679965682 :: Symbol ~> Symbol) = ShowParenSym2 a6989586621679965681 a6989586621679965682

data ShowParenSym2 (a6989586621679965681 :: Bool) (a6989586621679965682 :: (~>) 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 a6989586621679965681 a6989586621679965682 :: 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 a6989586621679965681 a6989586621679965682 :: TyFun Symbol Symbol -> Type) (a6989586621679965683 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowParenSym2 a6989586621679965681 a6989586621679965682 :: TyFun Symbol Symbol -> Type) (a6989586621679965683 :: Symbol) = ShowParen a6989586621679965681 a6989586621679965682 a6989586621679965683

'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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Numbers

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

Sublists

Searching lists

Zipping and unzipping lists

Functions on Symbols

Converting to and from Symbol

Converting to 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`