Copyright	(C) 2013 Richard Eisenberg
License	BSD-style (see LICENSE)
Maintainer	Ryan Scott
Stability	experimental
Portability	non-portable
Safe Haskell	None
Language	Haskell2010

Prelude.Singletons

Contents

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

Description

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

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

Synopsis

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)
data SMaybe :: forall (a :: Type). Maybe a -> Type where
- SNothing :: forall (a :: Type). SMaybe ('Nothing :: Maybe (a :: Type))
- SJust :: forall (a :: Type) (n :: a). (Sing n) -> SMaybe ('Just n :: Maybe (a :: Type))
maybe_ :: b -> (a -> b) -> Maybe a -> b
type family Maybe_ (a :: b) (a :: (~>) a b) (a :: Maybe a) :: b where ...
sMaybe_ :: forall b a (t :: b) (t :: (~>) a b) (t :: Maybe a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Maybe_Sym0 t) t) t :: b)
data SEither :: forall (a :: Type) (b :: Type). Either a b -> Type where
- SLeft :: forall (a :: Type) (b :: Type) (n :: a). (Sing n) -> SEither ('Left n :: Either (a :: Type) (b :: Type))
- SRight :: forall (a :: Type) (b :: Type) (n :: b). (Sing n) -> SEither ('Right n :: Either (a :: Type) (b :: Type))
either_ :: (a -> c) -> (b -> c) -> Either a b -> c
type family Either_ (a :: (~>) a c) (a :: (~>) b c) (a :: Either a b) :: c where ...
sEither_ :: forall a c b (t :: (~>) a c) (t :: (~>) b c) (t :: Either a b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Either_Sym0 t) t) t :: c)
data SOrdering :: Ordering -> Type where
- SLT :: SOrdering ('LT :: Ordering)
- SEQ :: SOrdering ('EQ :: Ordering)
- SGT :: SOrdering ('GT :: Ordering)
type SChar = Symbol
data Symbol
data SList :: forall (a :: Type). [a] -> Type where
- SNil :: forall (a :: Type). SList ('[] :: [a :: Type])
- SCons :: forall (a :: Type) (n :: a) (n :: [a]). (Sing n) -> (Sing n) -> SList ('(:) n n :: [a :: Type])
data STuple0 :: () -> Type where
- STuple0 :: STuple0 ('() :: ())
data STuple2 :: forall (a :: Type) (b :: Type). (a, b) -> Type where
- STuple2 :: forall (a :: Type) (b :: Type) (n :: a) (n :: b). (Sing n) -> (Sing n) -> STuple2 ('(n, n) :: (a :: Type, b :: Type))
data STuple3 :: forall (a :: Type) (b :: Type) (c :: Type). (a, b, c) -> Type where
- STuple3 :: forall (a :: Type) (b :: Type) (c :: Type) (n :: a) (n :: b) (n :: c). (Sing n) -> (Sing n) -> (Sing n) -> STuple3 ('(n, n, n) :: (a :: Type, b :: Type, c :: Type))
data STuple4 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type). (a, b, c, d) -> Type where
- STuple4 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (n :: a) (n :: b) (n :: c) (n :: d). (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> STuple4 ('(n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type))
data STuple5 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type). (a, b, c, d, e) -> Type where
- STuple5 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e). (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> STuple5 ('(n, n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type))
data STuple6 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type). (a, b, c, d, e, f) -> Type where
- STuple6 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e) (n :: f). (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> STuple6 ('(n, n, n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))
data STuple7 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type) (g :: Type). (a, b, c, d, e, f, g) -> Type where
- STuple7 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type) (g :: Type) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e) (n :: f) (n :: g). (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> STuple7 ('(n, n, n, n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))
type family Fst (a :: (a, b)) :: a where ...
sFst :: forall a b (t :: (a, b)). Sing t -> Sing (Apply FstSym0 t :: a)
type family Snd (a :: (a, b)) :: b where ...
sSnd :: forall a b (t :: (a, b)). Sing t -> Sing (Apply SndSym0 t :: b)
type family Curry (a :: (~>) (a, b) c) (a :: a) (a :: b) :: c where ...
sCurry :: forall a b c (t :: (~>) (a, b) c) (t :: a) (t :: b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply CurrySym0 t) t) t :: c)
type family Uncurry (a :: (~>) a ((~>) b c)) (a :: (a, b)) :: c where ...
sUncurry :: forall a b c (t :: (~>) a ((~>) b c)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply UncurrySym0 t) t :: c)
class PEq a where
- type (arg :: a) == (arg :: a) :: Bool
- type (arg :: a) /= (arg :: a) :: Bool
class SEq a where
- (%==) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t :: Bool)
- (%/=) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t :: Bool)
class POrd a where
- type Compare (arg :: a) (arg :: a) :: Ordering
- type (arg :: a) < (arg :: a) :: Bool
- type (arg :: a) <= (arg :: a) :: Bool
- type (arg :: a) > (arg :: a) :: Bool
- type (arg :: a) >= (arg :: a) :: Bool
- type Max (arg :: a) (arg :: a) :: a
- type Min (arg :: a) (arg :: a) :: a
class SEq a => SOrd a where
- sCompare :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t :: Ordering)
- (%<) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t :: Bool)
- (%<=) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t :: Bool)
- (%>) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t :: Bool)
- (%>=) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t :: Bool)
- sMax :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t :: a)
- sMin :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t :: a)
class PEnum a where
- type ToEnum (arg :: Nat) :: a
- type FromEnum (arg :: a) :: Nat
- type EnumFromTo (arg :: a) (arg :: a) :: [a]
- type EnumFromThenTo (arg :: a) (arg :: a) (arg :: a) :: [a]
class SEnum a where
- sToEnum :: forall (t :: Nat). Sing t -> Sing (Apply ToEnumSym0 t :: a)
- sFromEnum :: forall (t :: a). Sing t -> Sing (Apply FromEnumSym0 t :: Nat)
- sEnumFromTo :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t :: [a])
- sEnumFromThenTo :: forall (t :: a) (t :: a) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t :: [a])
class PBounded a where
- type MinBound :: a
- type MaxBound :: a
class SBounded a where
- sMinBound :: Sing (MinBoundSym0 :: a)
- sMaxBound :: Sing (MaxBoundSym0 :: a)
class PNum a where
- type (arg :: a) + (arg :: a) :: a
- type (arg :: a) - (arg :: a) :: a
- type (arg :: a) * (arg :: a) :: a
- type Negate (arg :: a) :: a
- type Abs (arg :: a) :: a
- type Signum (arg :: a) :: a
- type FromInteger (arg :: Nat) :: a
class SNum a where
- (%+) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t :: a)
- (%-) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (-@#@$) t) t :: a)
- (%*) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (*@#@$) t) t :: a)
- sNegate :: forall (t :: a). Sing t -> Sing (Apply NegateSym0 t :: a)
- sAbs :: forall (t :: a). Sing t -> Sing (Apply AbsSym0 t :: a)
- sSignum :: forall (t :: a). Sing t -> Sing (Apply SignumSym0 t :: a)
- sFromInteger :: forall (t :: Nat). Sing t -> Sing (Apply FromIntegerSym0 t :: a)
type family Subtract (a :: a) (a :: a) :: a where ...
sSubtract :: forall a (t :: a) (t :: a). SNum a => Sing t -> Sing t -> Sing (Apply (Apply SubtractSym0 t) t :: a)
class PSemigroup a where
- type (arg :: a) <> (arg :: a) :: a
class SSemigroup a where
- (%<>) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t :: a)
class PMonoid a where
- type Mempty :: a
- type Mappend (arg :: a) (arg :: a) :: a
- type Mconcat (arg :: [a]) :: a
class SSemigroup a => SMonoid a where
- sMempty :: Sing (MemptySym0 :: a)
- sMappend :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t :: a)
- sMconcat :: forall (t :: [a]). Sing t -> Sing (Apply MconcatSym0 t :: a)
class PFunctor f where
- type Fmap (arg :: (~>) a b) (arg :: f a) :: f b
- type (arg :: a) <$ (arg :: f b) :: f a
class SFunctor f where
- sFmap :: forall a b (t :: (~>) a b) (t :: f a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t :: f b)
- (%<$) :: forall a b (t :: a) (t :: f b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t :: f a)
type family (a :: (~>) a b) <$> (a :: f a) :: f b where ...
(%<$>) :: forall a b f (t :: (~>) a b) (t :: f a). SFunctor f => Sing t -> Sing t -> Sing (Apply (Apply (<$>@#@$) t) t :: f b)
class PApplicative f where
- type Pure (arg :: a) :: f a
- type (arg :: f ((~>) a b)) <*> (arg :: f a) :: f b
- type (arg :: f a) *> (arg :: f b) :: f b
- type (arg :: f a) <* (arg :: f b) :: f a
class SFunctor f => SApplicative f where
- sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t :: f a)
- (%<*>) :: forall a b (t :: f ((~>) a b)) (t :: f a). Sing t -> Sing t -> Sing (Apply (Apply (<*>@#@$) t) t :: f b)
- (%*>) :: forall a b (t :: f a) (t :: f b). Sing t -> Sing t -> Sing (Apply (Apply (*>@#@$) t) t :: f b)
- (%<*) :: forall a b (t :: f a) (t :: f b). Sing t -> Sing t -> Sing (Apply (Apply (<*@#@$) t) t :: f a)
class PMonad m where
- type (arg :: m a) >>= (arg :: (~>) a (m b)) :: m b
- type (arg :: m a) >> (arg :: m b) :: m b
- type Return (arg :: a) :: m a
class SApplicative m => SMonad m where
- (%>>=) :: forall a b (t :: m a) (t :: (~>) a (m b)). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t :: m b)
- (%>>) :: forall a b (t :: m a) (t :: m b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t :: m b)
- sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t :: m a)
class PMonadFail m where
- type Fail (arg :: [Char]) :: m a
class SMonad m => SMonadFail m where
- sFail :: forall a (t :: [Char]). Sing t -> Sing (Apply FailSym0 t :: m a)
type family MapM_ (a :: (~>) a (m b)) (a :: t a) :: m () where ...
sMapM_ :: forall a m b t (t :: (~>) a (m b)) (t :: t a). (SFoldable t, SMonad m) => Sing t -> Sing t -> Sing (Apply (Apply MapM_Sym0 t) t :: m ())
type family Sequence_ (a :: t (m a)) :: m () where ...
sSequence_ :: forall t m a (t :: t (m a)). (SFoldable t, SMonad m) => Sing t -> Sing (Apply Sequence_Sym0 t :: m ())
type family (a :: (~>) a (m b)) =<< (a :: m a) :: m b where ...
(%=<<) :: forall a m b (t :: (~>) a (m b)) (t :: m a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply (=<<@#@$) t) t :: m b)
class PFoldable t where
- type FoldMap (arg :: (~>) a m) (arg :: t a) :: m
- type Foldr (arg :: (~>) a ((~>) b b)) (arg :: b) (arg :: t a) :: b
- type Foldl (arg :: (~>) b ((~>) a b)) (arg :: b) (arg :: t a) :: b
- type Foldr1 (arg :: (~>) a ((~>) a a)) (arg :: t a) :: a
- type Foldl1 (arg :: (~>) a ((~>) a a)) (arg :: t a) :: a
- type Elem (arg :: a) (arg :: t a) :: Bool
- type Maximum (arg :: t a) :: a
- type Minimum (arg :: t a) :: a
- type Sum (arg :: t a) :: a
- type Product (arg :: t a) :: a
class SFoldable t where
- sFoldMap :: forall a m (t :: (~>) a m) (t :: t a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t :: m)
- sFoldr :: forall a b (t :: (~>) a ((~>) b b)) (t :: b) (t :: t a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t :: b)
- sFoldl :: forall b a (t :: (~>) b ((~>) a b)) (t :: b) (t :: t a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t :: b)
- sFoldr1 :: forall a (t :: (~>) a ((~>) a a)) (t :: t a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t :: a)
- sFoldl1 :: forall a (t :: (~>) a ((~>) a a)) (t :: t a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t :: a)
- sElem :: forall a (t :: a) (t :: t a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t :: Bool)
- sMaximum :: forall a (t :: t a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t :: a)
- sMinimum :: forall a (t :: t a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t :: a)
- sSum :: forall a (t :: t a). SNum a => Sing t -> Sing (Apply SumSym0 t :: a)
- sProduct :: forall a (t :: t a). SNum a => Sing t -> Sing (Apply ProductSym0 t :: a)
class PTraversable t where
- type Traverse (arg :: (~>) a (f b)) (arg :: t a) :: f (t b)
- type SequenceA (arg :: t (f a)) :: f (t a)
- type MapM (arg :: (~>) a (m b)) (arg :: t a) :: m (t b)
- type Sequence (arg :: t (m a)) :: m (t a)
class (SFunctor t, SFoldable t) => STraversable t where
- sTraverse :: forall a f b (t :: (~>) a (f b)) (t :: t a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t :: f (t b))
- sSequenceA :: forall f a (t :: t (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t :: f (t a))
- sMapM :: forall a m b (t :: (~>) a (m b)) (t :: t a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t :: m (t b))
- sSequence :: forall m a (t :: t (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t :: m (t a))
type family Id (a :: a) :: a where ...
sId :: forall a (t :: a). Sing t -> Sing (Apply IdSym0 t :: a)
type family Const (a :: a) (a :: b) :: a where ...
sConst :: forall a b (t :: a) (t :: b). Sing t -> Sing t -> Sing (Apply (Apply ConstSym0 t) t :: a)
type family ((a :: (~>) b c) . (a :: (~>) a b)) (a :: a) :: c where ...
(%.) :: forall b c a (t :: (~>) b c) (t :: (~>) a b) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply (.@#@$) t) t) t :: c)
type family Flip (a :: (~>) a ((~>) b c)) (a :: b) (a :: a) :: c where ...
sFlip :: forall a b c (t :: (~>) a ((~>) b c)) (t :: b) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FlipSym0 t) t) t :: c)
type family (a :: (~>) a b) $ (a :: a) :: b where ...
(%$) :: forall a b (t :: (~>) a b) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply ($@#@$) t) t :: b)
type family Until (a :: (~>) a Bool) (a :: (~>) a a) (a :: a) :: a where ...
sUntil :: forall a (t :: (~>) a Bool) (t :: (~>) a a) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply UntilSym0 t) t) t :: a)
type family AsTypeOf (a :: a) (a :: a) :: a where ...
sAsTypeOf :: forall a (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply AsTypeOfSym0 t) t :: a)
type family Error (str :: k0) :: k where ...
sError :: HasCallStack => Sing (str :: Symbol) -> a
type family ErrorWithoutStackTrace (str :: k0) :: k where ...
sErrorWithoutStackTrace :: Sing (str :: Symbol) -> a
type family Undefined :: k where ...
sUndefined :: HasCallStack => a
type family Seq (a :: a) (a :: b) :: b where ...
sSeq :: forall a b (t :: a) (t :: b). Sing t -> Sing t -> Sing (Apply (Apply SeqSym0 t) t :: b)
type family (a :: (~>) a b) $! (a :: a) :: b where ...
(%$!) :: forall a b (t :: (~>) a b) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply ($!@#@$) t) t :: b)
type family Map (a :: (~>) a b) (a :: [a]) :: [b] where ...
sMap :: forall a b (t :: (~>) a b) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply MapSym0 t) t :: [b])
type family (a :: [a]) ++ (a :: [a]) :: [a] where ...
(%++) :: forall a (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply (++@#@$) t) t :: [a])
type family Filter (a :: (~>) a Bool) (a :: [a]) :: [a] where ...
sFilter :: forall a (t :: (~>) a Bool) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply FilterSym0 t) t :: [a])
type family Head (a :: [a]) :: a where ...
sHead :: forall a (t :: [a]). Sing t -> Sing (Apply HeadSym0 t :: a)
type family Last (a :: [a]) :: a where ...
sLast :: forall a (t :: [a]). Sing t -> Sing (Apply LastSym0 t :: a)
type family Tail (a :: [a]) :: [a] where ...
sTail :: forall a (t :: [a]). Sing t -> Sing (Apply TailSym0 t :: [a])
type family Init (a :: [a]) :: [a] where ...
sInit :: forall a (t :: [a]). Sing t -> Sing (Apply InitSym0 t :: [a])
type family (a :: [a]) !! (a :: Nat) :: a where ...
(%!!) :: forall a (t :: [a]) (t :: Nat). Sing t -> Sing t -> Sing (Apply (Apply (!!@#@$) t) t :: a)
type family Null (arg :: t a) :: Bool
sNull :: forall a (t :: t a). SFoldable t => Sing t -> Sing (Apply NullSym0 t :: Bool)
type family Length (arg :: t a) :: Nat
sLength :: forall a (t :: t a). SFoldable t => Sing t -> Sing (Apply LengthSym0 t :: Nat)
type family Reverse (a :: [a]) :: [a] where ...
sReverse :: forall a (t :: [a]). Sing t -> Sing (Apply ReverseSym0 t :: [a])
type family And (a :: t Bool) :: Bool where ...
sAnd :: forall t (t :: t Bool). SFoldable t => Sing t -> Sing (Apply AndSym0 t :: Bool)
type family Or (a :: t Bool) :: Bool where ...
sOr :: forall t (t :: t Bool). SFoldable t => Sing t -> Sing (Apply OrSym0 t :: Bool)
type family Any (a :: (~>) a Bool) (a :: t a) :: Bool where ...
sAny :: forall a t (t :: (~>) a Bool) (t :: t a). SFoldable t => Sing t -> Sing t -> Sing (Apply (Apply AnySym0 t) t :: Bool)
type family All (a :: (~>) a Bool) (a :: t a) :: Bool where ...
sAll :: forall a t (t :: (~>) a Bool) (t :: t a). SFoldable t => Sing t -> Sing t -> Sing (Apply (Apply AllSym0 t) t :: Bool)
type family Concat (a :: t [a]) :: [a] where ...
sConcat :: forall t a (t :: t [a]). SFoldable t => Sing t -> Sing (Apply ConcatSym0 t :: [a])
type family ConcatMap (a :: (~>) a [b]) (a :: t a) :: [b] where ...
sConcatMap :: forall a b t (t :: (~>) a [b]) (t :: t a). SFoldable t => Sing t -> Sing t -> Sing (Apply (Apply ConcatMapSym0 t) t :: [b])
type family Scanl (a :: (~>) b ((~>) a b)) (a :: b) (a :: [a]) :: [b] where ...
sScanl :: forall b a (t :: (~>) b ((~>) a b)) (t :: b) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ScanlSym0 t) t) t :: [b])
type family Scanl1 (a :: (~>) a ((~>) a a)) (a :: [a]) :: [a] where ...
sScanl1 :: forall a (t :: (~>) a ((~>) a a)) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply Scanl1Sym0 t) t :: [a])
type family Scanr (a :: (~>) a ((~>) b b)) (a :: b) (a :: [a]) :: [b] where ...
sScanr :: forall a b (t :: (~>) a ((~>) b b)) (t :: b) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ScanrSym0 t) t) t :: [b])
type family Scanr1 (a :: (~>) a ((~>) a a)) (a :: [a]) :: [a] where ...
sScanr1 :: forall a (t :: (~>) a ((~>) a a)) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply Scanr1Sym0 t) t :: [a])
type family Replicate (a :: Nat) (a :: a) :: [a] where ...
sReplicate :: forall a (t :: Nat) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply ReplicateSym0 t) t :: [a])
type family Take (a :: Nat) (a :: [a]) :: [a] where ...
sTake :: forall a (t :: Nat) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply TakeSym0 t) t :: [a])
type family Drop (a :: Nat) (a :: [a]) :: [a] where ...
sDrop :: forall a (t :: Nat) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply DropSym0 t) t :: [a])
type family TakeWhile (a :: (~>) a Bool) (a :: [a]) :: [a] where ...
sTakeWhile :: forall a (t :: (~>) a Bool) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply TakeWhileSym0 t) t :: [a])
type family DropWhile (a :: (~>) a Bool) (a :: [a]) :: [a] where ...
sDropWhile :: forall a (t :: (~>) a Bool) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply DropWhileSym0 t) t :: [a])
type family Span (a :: (~>) a Bool) (a :: [a]) :: ([a], [a]) where ...
sSpan :: forall a (t :: (~>) a Bool) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply SpanSym0 t) t :: ([a], [a]))
type family Break (a :: (~>) a Bool) (a :: [a]) :: ([a], [a]) where ...
sBreak :: forall a (t :: (~>) a Bool) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply BreakSym0 t) t :: ([a], [a]))
type family SplitAt (a :: Nat) (a :: [a]) :: ([a], [a]) where ...
sSplitAt :: forall a (t :: Nat) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply SplitAtSym0 t) t :: ([a], [a]))
type family NotElem (a :: a) (a :: t a) :: Bool where ...
sNotElem :: forall a t (t :: a) (t :: t a). (SFoldable t, SEq a) => Sing t -> Sing t -> Sing (Apply (Apply NotElemSym0 t) t :: Bool)
type family Lookup (a :: a) (a :: [(a, b)]) :: Maybe b where ...
sLookup :: forall a b (t :: a) (t :: [(a, b)]). SEq a => Sing t -> Sing t -> Sing (Apply (Apply LookupSym0 t) t :: Maybe b)
type family Zip (a :: [a]) (a :: [b]) :: [(a, b)] where ...
sZip :: forall a b (t :: [a]) (t :: [b]). Sing t -> Sing t -> Sing (Apply (Apply ZipSym0 t) t :: [(a, b)])
type family Zip3 (a :: [a]) (a :: [b]) (a :: [c]) :: [(a, b, c)] where ...
sZip3 :: forall a b c (t :: [a]) (t :: [b]) (t :: [c]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Zip3Sym0 t) t) t :: [(a, b, c)])
type family ZipWith (a :: (~>) a ((~>) b c)) (a :: [a]) (a :: [b]) :: [c] where ...
sZipWith :: forall a b c (t :: (~>) a ((~>) b c)) (t :: [a]) (t :: [b]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ZipWithSym0 t) t) t :: [c])
type family ZipWith3 (a :: (~>) a ((~>) b ((~>) c d))) (a :: [a]) (a :: [b]) (a :: [c]) :: [d] where ...
sZipWith3 :: forall a b c d (t :: (~>) a ((~>) b ((~>) c d))) (t :: [a]) (t :: [b]) (t :: [c]). Sing t -> Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply (Apply ZipWith3Sym0 t) t) t) t :: [d])
type family Unzip (a :: [(a, b)]) :: ([a], [b]) where ...
sUnzip :: forall a b (t :: [(a, b)]). Sing t -> Sing (Apply UnzipSym0 t :: ([a], [b]))
type family Unzip3 (a :: [(a, b, c)]) :: ([a], [b], [c]) where ...
sUnzip3 :: forall a b c (t :: [(a, b, c)]). Sing t -> Sing (Apply Unzip3Sym0 t :: ([a], [b], [c]))
type family Unlines (a :: [Symbol]) :: Symbol where ...
sUnlines :: forall (t :: [Symbol]). Sing t -> Sing (Apply UnlinesSym0 t :: Symbol)
type family Unwords (a :: [Symbol]) :: Symbol where ...
sUnwords :: forall (t :: [Symbol]). Sing t -> Sing (Apply UnwordsSym0 t :: Symbol)
type SymbolS = Symbol -> Symbol
show_ :: Show a => a -> String
class PShow a where
- type ShowsPrec (arg :: Nat) (arg :: a) (arg :: Symbol) :: Symbol
- type Show_ (arg :: a) :: Symbol
- type ShowList (arg :: [a]) (arg :: Symbol) :: Symbol
class SShow a where
- sShowsPrec :: forall (t :: Nat) (t :: a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t :: Symbol)
- sShow_ :: forall (t :: a). Sing t -> Sing (Apply Show_Sym0 t :: Symbol)
- sShowList :: forall (t :: [a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t :: Symbol)
type family Shows (a :: a) (a :: Symbol) :: Symbol where ...
sShows :: forall a (t :: a) (t :: Symbol). SShow a => Sing t -> Sing t -> Sing (Apply (Apply ShowsSym0 t) t :: Symbol)
type family ShowChar (a :: Symbol) (a :: Symbol) :: Symbol where ...
sShowChar :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowCharSym0 t) t :: Symbol)
type family ShowString (a :: Symbol) (a :: Symbol) :: Symbol where ...
sShowString :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowStringSym0 t) t :: Symbol)
type family ShowParen (a :: Bool) (a :: (~>) Symbol Symbol) (a :: Symbol) :: Symbol where ...
sShowParen :: forall (t :: Bool) (t :: (~>) Symbol Symbol) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowParenSym0 t) t) t :: Symbol)
type family FalseSym0 :: Bool where ...
type family TrueSym0 :: Bool where ...
data IfSym0 :: (~>) Bool ((~>) k ((~>) k k))
data IfSym1 (a6989586621679126966 :: Bool) :: (~>) k ((~>) k k)
data IfSym2 (a6989586621679126966 :: Bool) (a6989586621679126967 :: k) :: (~>) k k
type family IfSym3 (a6989586621679126966 :: Bool) (a6989586621679126967 :: k) (a6989586621679126968 :: k) :: k where ...
data (&&@#@$) :: (~>) Bool ((~>) Bool Bool)
data (&&@#@$$) (a6989586621679126062 :: Bool) :: (~>) Bool Bool
type family (a6989586621679126062 :: Bool) &&@#@$$$ (a6989586621679126063 :: Bool) :: Bool where ...
data (||@#@$) :: (~>) Bool ((~>) Bool Bool)
data (||@#@$$) (a6989586621679126411 :: Bool) :: (~>) Bool Bool
type family (a6989586621679126411 :: Bool) ||@#@$$$ (a6989586621679126412 :: Bool) :: Bool where ...
data NotSym0 :: (~>) Bool Bool
type family NotSym1 (a6989586621679126743 :: Bool) :: Bool where ...
type family OtherwiseSym0 :: Bool where ...
type family NothingSym0 :: Maybe (a :: Type) where ...
data JustSym0 :: (~>) a (Maybe (a :: Type))
type family JustSym1 (a6989586621679041801 :: a) :: Maybe (a :: Type) where ...
data Maybe_Sym0 :: (~>) b ((~>) ((~>) a b) ((~>) (Maybe a) b))
data Maybe_Sym1 (a6989586621679537122 :: b) :: (~>) ((~>) a b) ((~>) (Maybe a) b)
data Maybe_Sym2 (a6989586621679537122 :: b) (a6989586621679537123 :: (~>) a b) :: (~>) (Maybe a) b
type family Maybe_Sym3 (a6989586621679537122 :: b) (a6989586621679537123 :: (~>) a b) (a6989586621679537124 :: Maybe a) :: b where ...
data LeftSym0 :: (~>) a (Either (a :: Type) (b :: Type))
type family LeftSym1 (a6989586621679041872 :: a) :: Either (a :: Type) (b :: Type) where ...
data RightSym0 :: (~>) b (Either (a :: Type) (b :: Type))
type family RightSym1 (a6989586621679041874 :: b) :: Either (a :: Type) (b :: Type) where ...
data Either_Sym0 :: (~>) ((~>) a c) ((~>) ((~>) b c) ((~>) (Either a b) c))
data Either_Sym1 (a6989586621679305268 :: (~>) a c) :: (~>) ((~>) b c) ((~>) (Either a b) c)
data Either_Sym2 (a6989586621679305268 :: (~>) a c) (a6989586621679305269 :: (~>) b c) :: (~>) (Either a b) c
type family Either_Sym3 (a6989586621679305268 :: (~>) a c) (a6989586621679305269 :: (~>) b c) (a6989586621679305270 :: 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 (:@#@$$) (a6989586621679041825 :: a) :: (~>) [a] [a :: Type]
type family (a6989586621679041825 :: a) :@#@$$$ (a6989586621679041826 :: [a]) :: [a :: Type] where ...
type family NilSym0 :: [a :: Type] where ...
type family Tuple0Sym0 :: () where ...
data Tuple2Sym0 :: (~>) a ((~>) b (a :: Type, b :: Type))
data Tuple2Sym1 (a6989586621679042302 :: a) :: (~>) b (a :: Type, b :: Type)
type family Tuple2Sym2 (a6989586621679042302 :: a) (a6989586621679042303 :: b) :: (a :: Type, b :: Type) where ...
data Tuple3Sym0 :: (~>) a ((~>) b ((~>) c (a :: Type, b :: Type, c :: Type)))
data Tuple3Sym1 (a6989586621679042332 :: a) :: (~>) b ((~>) c (a :: Type, b :: Type, c :: Type))
data Tuple3Sym2 (a6989586621679042332 :: a) (a6989586621679042333 :: b) :: (~>) c (a :: Type, b :: Type, c :: Type)
type family Tuple3Sym3 (a6989586621679042332 :: a) (a6989586621679042333 :: b) (a6989586621679042334 :: c) :: (a :: Type, b :: Type, c :: Type) where ...
data Tuple4Sym0 :: (~>) a ((~>) b ((~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type))))
data Tuple4Sym1 (a6989586621679042377 :: a) :: (~>) b ((~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type)))
data Tuple4Sym2 (a6989586621679042377 :: a) (a6989586621679042378 :: b) :: (~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type))
data Tuple4Sym3 (a6989586621679042377 :: a) (a6989586621679042378 :: b) (a6989586621679042379 :: c) :: (~>) d (a :: Type, b :: Type, c :: Type, d :: Type)
type family Tuple4Sym4 (a6989586621679042377 :: a) (a6989586621679042378 :: b) (a6989586621679042379 :: c) (a6989586621679042380 :: 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 (a6989586621679042439 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type))))
data Tuple5Sym2 (a6989586621679042439 :: a) (a6989586621679042440 :: b) :: (~>) c ((~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type)))
data Tuple5Sym3 (a6989586621679042439 :: a) (a6989586621679042440 :: b) (a6989586621679042441 :: c) :: (~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type))
data Tuple5Sym4 (a6989586621679042439 :: a) (a6989586621679042440 :: b) (a6989586621679042441 :: c) (a6989586621679042442 :: d) :: (~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type)
type family Tuple5Sym5 (a6989586621679042439 :: a) (a6989586621679042440 :: b) (a6989586621679042441 :: c) (a6989586621679042442 :: d) (a6989586621679042443 :: 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 (a6989586621679042520 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)))))
data Tuple6Sym2 (a6989586621679042520 :: a) (a6989586621679042521 :: b) :: (~>) c ((~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))))
data Tuple6Sym3 (a6989586621679042520 :: a) (a6989586621679042521 :: b) (a6989586621679042522 :: c) :: (~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)))
data Tuple6Sym4 (a6989586621679042520 :: a) (a6989586621679042521 :: b) (a6989586621679042522 :: c) (a6989586621679042523 :: d) :: (~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))
data Tuple6Sym5 (a6989586621679042520 :: a) (a6989586621679042521 :: b) (a6989586621679042522 :: c) (a6989586621679042523 :: d) (a6989586621679042524 :: e) :: (~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)
type family Tuple6Sym6 (a6989586621679042520 :: a) (a6989586621679042521 :: b) (a6989586621679042522 :: c) (a6989586621679042523 :: d) (a6989586621679042524 :: e) (a6989586621679042525 :: 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 (a6989586621679042622 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))))))
data Tuple7Sym2 (a6989586621679042622 :: a) (a6989586621679042623 :: b) :: (~>) c ((~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)))))
data Tuple7Sym3 (a6989586621679042622 :: a) (a6989586621679042623 :: b) (a6989586621679042624 :: c) :: (~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))))
data Tuple7Sym4 (a6989586621679042622 :: a) (a6989586621679042623 :: b) (a6989586621679042624 :: c) (a6989586621679042625 :: d) :: (~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)))
data Tuple7Sym5 (a6989586621679042622 :: a) (a6989586621679042623 :: b) (a6989586621679042624 :: c) (a6989586621679042625 :: d) (a6989586621679042626 :: e) :: (~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))
data Tuple7Sym6 (a6989586621679042622 :: a) (a6989586621679042623 :: b) (a6989586621679042624 :: c) (a6989586621679042625 :: d) (a6989586621679042626 :: e) (a6989586621679042627 :: f) :: (~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)
type family Tuple7Sym7 (a6989586621679042622 :: a) (a6989586621679042623 :: b) (a6989586621679042624 :: c) (a6989586621679042625 :: d) (a6989586621679042626 :: e) (a6989586621679042627 :: f) (a6989586621679042628 :: g) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type) where ...
data FstSym0 :: (~>) (a, b) a
type family FstSym1 (a6989586621679266788 :: (a, b)) :: a where ...
data SndSym0 :: (~>) (a, b) b
type family SndSym1 (a6989586621679266784 :: (a, b)) :: b where ...
data CurrySym0 :: (~>) ((~>) (a, b) c) ((~>) a ((~>) b c))
data CurrySym1 (a6989586621679266776 :: (~>) (a, b) c) :: (~>) a ((~>) b c)
data CurrySym2 (a6989586621679266776 :: (~>) (a, b) c) (a6989586621679266777 :: a) :: (~>) b c
type family CurrySym3 (a6989586621679266776 :: (~>) (a, b) c) (a6989586621679266777 :: a) (a6989586621679266778 :: b) :: c where ...
data UncurrySym0 :: (~>) ((~>) a ((~>) b c)) ((~>) (a, b) c)
data UncurrySym1 (a6989586621679266768 :: (~>) a ((~>) b c)) :: (~>) (a, b) c
type family UncurrySym2 (a6989586621679266768 :: (~>) a ((~>) b c)) (a6989586621679266769 :: (a, b)) :: c where ...
data (==@#@$) :: (~>) a ((~>) a Bool)
data (==@#@$$) (a6989586621679131004 :: a) :: (~>) a Bool
type family (a6989586621679131004 :: a) ==@#@$$$ (a6989586621679131005 :: a) :: Bool where ...
data (/=@#@$) :: (~>) a ((~>) a Bool)
data (/=@#@$$) (a6989586621679131009 :: a) :: (~>) a Bool
type family (a6989586621679131009 :: a) /=@#@$$$ (a6989586621679131010 :: a) :: Bool where ...
data CompareSym0 :: (~>) a ((~>) a Ordering)
data CompareSym1 (a6989586621679170735 :: a) :: (~>) a Ordering
type family CompareSym2 (a6989586621679170735 :: a) (a6989586621679170736 :: a) :: Ordering where ...
data (<@#@$) :: (~>) a ((~>) a Bool)
data (<@#@$$) (a6989586621679170740 :: a) :: (~>) a Bool
type family (a6989586621679170740 :: a) <@#@$$$ (a6989586621679170741 :: a) :: Bool where ...
data (<=@#@$) :: (~>) a ((~>) a Bool)
data (<=@#@$$) (a6989586621679170745 :: a) :: (~>) a Bool
type family (a6989586621679170745 :: a) <=@#@$$$ (a6989586621679170746 :: a) :: Bool where ...
data (>@#@$) :: (~>) a ((~>) a Bool)
data (>@#@$$) (a6989586621679170750 :: a) :: (~>) a Bool
type family (a6989586621679170750 :: a) >@#@$$$ (a6989586621679170751 :: a) :: Bool where ...
data (>=@#@$) :: (~>) a ((~>) a Bool)
data (>=@#@$$) (a6989586621679170755 :: a) :: (~>) a Bool
type family (a6989586621679170755 :: a) >=@#@$$$ (a6989586621679170756 :: a) :: Bool where ...
data MaxSym0 :: (~>) a ((~>) a a)
data MaxSym1 (a6989586621679170760 :: a) :: (~>) a a
type family MaxSym2 (a6989586621679170760 :: a) (a6989586621679170761 :: a) :: a where ...
data MinSym0 :: (~>) a ((~>) a a)
data MinSym1 (a6989586621679170765 :: a) :: (~>) a a
type family MinSym2 (a6989586621679170765 :: a) (a6989586621679170766 :: a) :: a where ...
data ToEnumSym0 :: (~>) Nat a
type family ToEnumSym1 (a6989586621679573385 :: Nat) :: a where ...
data FromEnumSym0 :: (~>) a Nat
type family FromEnumSym1 (a6989586621679573388 :: a) :: Nat where ...
data EnumFromToSym0 :: (~>) a ((~>) a [a])
data EnumFromToSym1 (a6989586621679573392 :: a) :: (~>) a [a]
type family EnumFromToSym2 (a6989586621679573392 :: a) (a6989586621679573393 :: a) :: [a] where ...
data EnumFromThenToSym0 :: (~>) a ((~>) a ((~>) a [a]))
data EnumFromThenToSym1 (a6989586621679573398 :: a) :: (~>) a ((~>) a [a])
data EnumFromThenToSym2 (a6989586621679573398 :: a) (a6989586621679573399 :: a) :: (~>) a [a]
type family EnumFromThenToSym3 (a6989586621679573398 :: a) (a6989586621679573399 :: a) (a6989586621679573400 :: a) :: [a] where ...
type family MinBoundSym0 :: a where ...
type family MaxBoundSym0 :: a where ...
data (+@#@$) :: (~>) a ((~>) a a)
data (+@#@$$) (a6989586621679550129 :: a) :: (~>) a a
type family (a6989586621679550129 :: a) +@#@$$$ (a6989586621679550130 :: a) :: a where ...
data (-@#@$) :: (~>) a ((~>) a a)
data (-@#@$$) (a6989586621679550134 :: a) :: (~>) a a
type family (a6989586621679550134 :: a) -@#@$$$ (a6989586621679550135 :: a) :: a where ...
data (*@#@$) :: (~>) a ((~>) a a)
data (*@#@$$) (a6989586621679550139 :: a) :: (~>) a a
type family (a6989586621679550139 :: a) *@#@$$$ (a6989586621679550140 :: a) :: a where ...
data NegateSym0 :: (~>) a a
type family NegateSym1 (a6989586621679550143 :: a) :: a where ...
data AbsSym0 :: (~>) a a
type family AbsSym1 (a6989586621679550146 :: a) :: a where ...
data SignumSym0 :: (~>) a a
type family SignumSym1 (a6989586621679550149 :: a) :: a where ...
data FromIntegerSym0 :: (~>) Nat a
type family FromIntegerSym1 (a6989586621679550152 :: Nat) :: a where ...
data SubtractSym0 :: (~>) a ((~>) a a)
data SubtractSym1 (a6989586621679550122 :: a) :: (~>) a a
type family SubtractSym2 (a6989586621679550122 :: a) (a6989586621679550123 :: a) :: a where ...
data (<>@#@$) :: (~>) a ((~>) a a)
data (<>@#@$$) (a6989586621679653661 :: a) :: (~>) a a
type family (a6989586621679653661 :: a) <>@#@$$$ (a6989586621679653662 :: a) :: a where ...
type family MemptySym0 :: a where ...
data MappendSym0 :: (~>) a ((~>) a a)
data MappendSym1 (a6989586621680267906 :: a) :: (~>) a a
type family MappendSym2 (a6989586621680267906 :: a) (a6989586621680267907 :: a) :: a where ...
data MconcatSym0 :: (~>) [a] a
type family MconcatSym1 (a6989586621680267910 :: [a]) :: a where ...
data FmapSym0 :: (~>) ((~>) a b) ((~>) (f a) (f b))
data FmapSym1 (a6989586621679319155 :: (~>) a b) :: (~>) (f a) (f b)
type family FmapSym2 (a6989586621679319155 :: (~>) a b) (a6989586621679319156 :: f a) :: f b where ...
data (<$@#@$) :: (~>) a ((~>) (f b) (f a))
data (<$@#@$$) (a6989586621679319160 :: a) :: (~>) (f b) (f a)
type family (a6989586621679319160 :: a) <$@#@$$$ (a6989586621679319161 :: f b) :: f a where ...
data (<$>@#@$) :: (~>) ((~>) a b) ((~>) (f a) (f b))
data (<$>@#@$$) (a6989586621679497631 :: (~>) a b) :: (~>) (f a) (f b)
type family (a6989586621679497631 :: (~>) a b) <$>@#@$$$ (a6989586621679497632 :: f a) :: f b where ...
data PureSym0 :: (~>) a (f a)
type family PureSym1 (a6989586621679319179 :: a) :: f a where ...
data (<*>@#@$) :: (~>) (f ((~>) a b)) ((~>) (f a) (f b))
data (<*>@#@$$) (a6989586621679319183 :: f ((~>) a b)) :: (~>) (f a) (f b)
type family (a6989586621679319183 :: f ((~>) a b)) <*>@#@$$$ (a6989586621679319184 :: f a) :: f b where ...
data (*>@#@$) :: (~>) (f a) ((~>) (f b) (f b))
data (*>@#@$$) (a6989586621679319195 :: f a) :: (~>) (f b) (f b)
type family (a6989586621679319195 :: f a) *>@#@$$$ (a6989586621679319196 :: f b) :: f b where ...
data (<*@#@$) :: (~>) (f a) ((~>) (f b) (f a))
data (<*@#@$$) (a6989586621679319200 :: f a) :: (~>) (f b) (f a)
type family (a6989586621679319200 :: f a) <*@#@$$$ (a6989586621679319201 :: f b) :: f a where ...
data (>>=@#@$) :: (~>) (m a) ((~>) ((~>) a (m b)) (m b))
data (>>=@#@$$) (a6989586621679319263 :: m a) :: (~>) ((~>) a (m b)) (m b)
type family (a6989586621679319263 :: m a) >>=@#@$$$ (a6989586621679319264 :: (~>) a (m b)) :: m b where ...
data (>>@#@$) :: (~>) (m a) ((~>) (m b) (m b))
data (>>@#@$$) (a6989586621679319268 :: m a) :: (~>) (m b) (m b)
type family (a6989586621679319268 :: m a) >>@#@$$$ (a6989586621679319269 :: m b) :: m b where ...
data ReturnSym0 :: (~>) a (m a)
type family ReturnSym1 (a6989586621679319272 :: a) :: m a where ...
data FailSym0 :: (~>) [Char] (m a)
type family FailSym1 (a6989586621679514291 :: [Char]) :: m a where ...
data MapM_Sym0 :: (~>) ((~>) a (m b)) ((~>) (t a) (m ()))
data MapM_Sym1 (a6989586621680367213 :: (~>) a (m b)) :: (~>) (t a) (m ())
type family MapM_Sym2 (a6989586621680367213 :: (~>) a (m b)) (a6989586621680367214 :: t a) :: m () where ...
data Sequence_Sym0 :: (~>) (t (m a)) (m ())
type family Sequence_Sym1 (a6989586621680367189 :: t (m a)) :: m () where ...
data (=<<@#@$) :: (~>) ((~>) a (m b)) ((~>) (m a) (m b))
data (=<<@#@$$) (a6989586621679319108 :: (~>) a (m b)) :: (~>) (m a) (m b)
type family (a6989586621679319108 :: (~>) a (m b)) =<<@#@$$$ (a6989586621679319109 :: m a) :: m b where ...
data ElemSym0 :: (~>) a ((~>) (t a) Bool)
data ElemSym1 (a6989586621680367331 :: a) :: (~>) (t a) Bool
type family ElemSym2 (a6989586621680367331 :: a) (a6989586621680367332 :: t a) :: Bool where ...
data FoldMapSym0 :: (~>) ((~>) a m) ((~>) (t a) m)
data FoldMapSym1 (a6989586621680367279 :: (~>) a m) :: (~>) (t a) m
type family FoldMapSym2 (a6989586621680367279 :: (~>) a m) (a6989586621680367280 :: t a) :: m where ...
data FoldrSym0 :: (~>) ((~>) a ((~>) b b)) ((~>) b ((~>) (t a) b))
data FoldrSym1 (a6989586621680367285 :: (~>) a ((~>) b b)) :: (~>) b ((~>) (t a) b)
data FoldrSym2 (a6989586621680367285 :: (~>) a ((~>) b b)) (a6989586621680367286 :: b) :: (~>) (t a) b
type family FoldrSym3 (a6989586621680367285 :: (~>) a ((~>) b b)) (a6989586621680367286 :: b) (a6989586621680367287 :: t a) :: b where ...
data FoldlSym0 :: (~>) ((~>) b ((~>) a b)) ((~>) b ((~>) (t a) b))
data FoldlSym1 (a6989586621680367299 :: (~>) b ((~>) a b)) :: (~>) b ((~>) (t a) b)
data FoldlSym2 (a6989586621680367299 :: (~>) b ((~>) a b)) (a6989586621680367300 :: b) :: (~>) (t a) b
type family FoldlSym3 (a6989586621680367299 :: (~>) b ((~>) a b)) (a6989586621680367300 :: b) (a6989586621680367301 :: t a) :: b where ...
data Foldr1Sym0 :: (~>) ((~>) a ((~>) a a)) ((~>) (t a) a)
data Foldr1Sym1 (a6989586621680367312 :: (~>) a ((~>) a a)) :: (~>) (t a) a
type family Foldr1Sym2 (a6989586621680367312 :: (~>) a ((~>) a a)) (a6989586621680367313 :: t a) :: a where ...
data Foldl1Sym0 :: (~>) ((~>) a ((~>) a a)) ((~>) (t a) a)
data Foldl1Sym1 (a6989586621680367317 :: (~>) a ((~>) a a)) :: (~>) (t a) a
type family Foldl1Sym2 (a6989586621680367317 :: (~>) a ((~>) a a)) (a6989586621680367318 :: t a) :: a where ...
data MaximumSym0 :: (~>) (t a) a
type family MaximumSym1 (a6989586621680367335 :: t a) :: a where ...
data MinimumSym0 :: (~>) (t a) a
type family MinimumSym1 (a6989586621680367338 :: t a) :: a where ...
data ProductSym0 :: (~>) (t a) a
type family ProductSym1 (a6989586621680367344 :: t a) :: a where ...
data SumSym0 :: (~>) (t a) a
type family SumSym1 (a6989586621680367341 :: t a) :: a where ...
data TraverseSym0 :: (~>) ((~>) a (f b)) ((~>) (t a) (f (t b)))
data TraverseSym1 (a6989586621680721206 :: (~>) a (f b)) :: (~>) (t a) (f (t b))
type family TraverseSym2 (a6989586621680721206 :: (~>) a (f b)) (a6989586621680721207 :: t a) :: f (t b) where ...
data SequenceASym0 :: (~>) (t (f a)) (f (t a))
type family SequenceASym1 (a6989586621680721210 :: t (f a)) :: f (t a) where ...
data MapMSym0 :: (~>) ((~>) a (m b)) ((~>) (t a) (m (t b)))
data MapMSym1 (a6989586621680721214 :: (~>) a (m b)) :: (~>) (t a) (m (t b))
type family MapMSym2 (a6989586621680721214 :: (~>) a (m b)) (a6989586621680721215 :: t a) :: m (t b) where ...
data SequenceSym0 :: (~>) (t (m a)) (m (t a))
type family SequenceSym1 (a6989586621680721218 :: t (m a)) :: m (t a) where ...
data IdSym0 :: (~>) a a
type family IdSym1 (a6989586621679274074 :: a) :: a where ...
data ConstSym0 :: (~>) a ((~>) b a)
data ConstSym1 (a6989586621679274069 :: a) :: (~>) b a
type family ConstSym2 (a6989586621679274069 :: a) (a6989586621679274070 :: b) :: a where ...
data (.@#@$) :: (~>) ((~>) b c) ((~>) ((~>) a b) ((~>) a c))
data (.@#@$$) (a6989586621679274056 :: (~>) b c) :: (~>) ((~>) a b) ((~>) a c)
data (a6989586621679274056 :: (~>) b c) .@#@$$$ (a6989586621679274057 :: (~>) a b) :: (~>) a c
type family ((a6989586621679274056 :: (~>) b c) .@#@$$$$ (a6989586621679274057 :: (~>) a b)) (a6989586621679274058 :: a) :: c where ...
data FlipSym0 :: (~>) ((~>) a ((~>) b c)) ((~>) b ((~>) a c))
data FlipSym1 (a6989586621679274044 :: (~>) a ((~>) b c)) :: (~>) b ((~>) a c)
data FlipSym2 (a6989586621679274044 :: (~>) a ((~>) b c)) (a6989586621679274045 :: b) :: (~>) a c
type family FlipSym3 (a6989586621679274044 :: (~>) a ((~>) b c)) (a6989586621679274045 :: b) (a6989586621679274046 :: a) :: c where ...
data ($@#@$) :: (~>) ((~>) a b) ((~>) a b)
data ($@#@$$) (a6989586621679274025 :: (~>) a b) :: (~>) a b
type family (a6989586621679274025 :: (~>) a b) $@#@$$$ (a6989586621679274026 :: a) :: b where ...
data UntilSym0 :: (~>) ((~>) a Bool) ((~>) ((~>) a a) ((~>) a a))
data UntilSym1 (a6989586621679273998 :: (~>) a Bool) :: (~>) ((~>) a a) ((~>) a a)
data UntilSym2 (a6989586621679273998 :: (~>) a Bool) (a6989586621679273999 :: (~>) a a) :: (~>) a a
type family UntilSym3 (a6989586621679273998 :: (~>) a Bool) (a6989586621679273999 :: (~>) a a) (a6989586621679274000 :: a) :: a where ...
data AsTypeOfSym0 :: (~>) a ((~>) a a)
data AsTypeOfSym1 (a6989586621679274036 :: a) :: (~>) a a
type family AsTypeOfSym2 (a6989586621679274036 :: a) (a6989586621679274037 :: a) :: a where ...
data ErrorSym0 :: (~>) k0 k
type family ErrorSym1 (a6989586621679518606 :: k0) :: k where ...
data ErrorWithoutStackTraceSym0 :: (~>) k0 k
type family ErrorWithoutStackTraceSym1 (a6989586621679518903 :: k0) :: k where ...
type family UndefinedSym0 :: k where ...
data SeqSym0 :: (~>) a ((~>) b b)
data SeqSym1 (a6989586621679273989 :: a) :: (~>) b b
type family SeqSym2 (a6989586621679273989 :: a) (a6989586621679273990 :: b) :: b where ...
data ($!@#@$) :: (~>) ((~>) a b) ((~>) a b)
data ($!@#@$$) (a6989586621679274016 :: (~>) a b) :: (~>) a b
type family (a6989586621679274016 :: (~>) a b) $!@#@$$$ (a6989586621679274017 :: a) :: b where ...
data MapSym0 :: (~>) ((~>) a b) ((~>) [a] [b])
data MapSym1 (a6989586621679274088 :: (~>) a b) :: (~>) [a] [b]
type family MapSym2 (a6989586621679274088 :: (~>) a b) (a6989586621679274089 :: [a]) :: [b] where ...
data (++@#@$) :: (~>) [a] ((~>) [a] [a])
data (++@#@$$) (a6989586621679274079 :: [a]) :: (~>) [a] [a]
type family (a6989586621679274079 :: [a]) ++@#@$$$ (a6989586621679274080 :: [a]) :: [a] where ...
data FilterSym0 :: (~>) ((~>) a Bool) ((~>) [a] [a])
data FilterSym1 (a6989586621679814466 :: (~>) a Bool) :: (~>) [a] [a]
type family FilterSym2 (a6989586621679814466 :: (~>) a Bool) (a6989586621679814467 :: [a]) :: [a] where ...
data HeadSym0 :: (~>) [a] a
type family HeadSym1 (a6989586621679815236 :: [a]) :: a where ...
data LastSym0 :: (~>) [a] a
type family LastSym1 (a6989586621679815230 :: [a]) :: a where ...
data TailSym0 :: (~>) [a] [a]
type family TailSym1 (a6989586621679815226 :: [a]) :: [a] where ...
data InitSym0 :: (~>) [a] [a]
type family InitSym1 (a6989586621679815214 :: [a]) :: [a] where ...
data (!!@#@$) :: (~>) [a] ((~>) Nat a)
data (!!@#@$$) (a6989586621679814074 :: [a]) :: (~>) Nat a
type family (a6989586621679814074 :: [a]) !!@#@$$$ (a6989586621679814075 :: Nat) :: a where ...
data NullSym0 :: (~>) (t a) Bool
type family NullSym1 (a6989586621680367324 :: t a) :: Bool where ...
data LengthSym0 :: (~>) (t a) Nat
type family LengthSym1 (a6989586621680367327 :: t a) :: Nat where ...
data ReverseSym0 :: (~>) [a] [a]
type family ReverseSym1 (a6989586621679815199 :: [a]) :: [a] where ...
data AndSym0 :: (~>) (t Bool) Bool
type family AndSym1 (a6989586621680367150 :: t Bool) :: Bool where ...
data OrSym0 :: (~>) (t Bool) Bool
type family OrSym1 (a6989586621680367144 :: t Bool) :: Bool where ...
data AnySym0 :: (~>) ((~>) a Bool) ((~>) (t a) Bool)
data AnySym1 (a6989586621680367136 :: (~>) a Bool) :: (~>) (t a) Bool
type family AnySym2 (a6989586621680367136 :: (~>) a Bool) (a6989586621680367137 :: t a) :: Bool where ...
data AllSym0 :: (~>) ((~>) a Bool) ((~>) (t a) Bool)
data AllSym1 (a6989586621680367127 :: (~>) a Bool) :: (~>) (t a) Bool
type family AllSym2 (a6989586621680367127 :: (~>) a Bool) (a6989586621680367128 :: t a) :: Bool where ...
data ConcatSym0 :: (~>) (t [a]) [a]
type family ConcatSym1 (a6989586621680367166 :: t [a]) :: [a] where ...
data ConcatMapSym0 :: (~>) ((~>) a [b]) ((~>) (t a) [b])
data ConcatMapSym1 (a6989586621680367155 :: (~>) a [b]) :: (~>) (t a) [b]
type family ConcatMapSym2 (a6989586621680367155 :: (~>) a [b]) (a6989586621680367156 :: t a) :: [b] where ...
data ScanlSym0 :: (~>) ((~>) b ((~>) a b)) ((~>) b ((~>) [a] [b]))
data ScanlSym1 (a6989586621679815004 :: (~>) b ((~>) a b)) :: (~>) b ((~>) [a] [b])
data ScanlSym2 (a6989586621679815004 :: (~>) b ((~>) a b)) (a6989586621679815005 :: b) :: (~>) [a] [b]
type family ScanlSym3 (a6989586621679815004 :: (~>) b ((~>) a b)) (a6989586621679815005 :: b) (a6989586621679815006 :: [a]) :: [b] where ...
data Scanl1Sym0 :: (~>) ((~>) a ((~>) a a)) ((~>) [a] [a])
data Scanl1Sym1 (a6989586621679814995 :: (~>) a ((~>) a a)) :: (~>) [a] [a]
type family Scanl1Sym2 (a6989586621679814995 :: (~>) a ((~>) a a)) (a6989586621679814996 :: [a]) :: [a] where ...
data ScanrSym0 :: (~>) ((~>) a ((~>) b b)) ((~>) b ((~>) [a] [b]))
data ScanrSym1 (a6989586621679814977 :: (~>) a ((~>) b b)) :: (~>) b ((~>) [a] [b])
data ScanrSym2 (a6989586621679814977 :: (~>) a ((~>) b b)) (a6989586621679814978 :: b) :: (~>) [a] [b]
type family ScanrSym3 (a6989586621679814977 :: (~>) a ((~>) b b)) (a6989586621679814978 :: b) (a6989586621679814979 :: [a]) :: [b] where ...
data Scanr1Sym0 :: (~>) ((~>) a ((~>) a a)) ((~>) [a] [a])
data Scanr1Sym1 (a6989586621679814957 :: (~>) a ((~>) a a)) :: (~>) [a] [a]
type family Scanr1Sym2 (a6989586621679814957 :: (~>) a ((~>) a a)) (a6989586621679814958 :: [a]) :: [a] where ...
data ReplicateSym0 :: (~>) Nat ((~>) a [a])
data ReplicateSym1 (a6989586621679814094 :: Nat) :: (~>) a [a]
type family ReplicateSym2 (a6989586621679814094 :: Nat) (a6989586621679814095 :: a) :: [a] where ...
data TakeSym0 :: (~>) Nat ((~>) [a] [a])
data TakeSym1 (a6989586621679814249 :: Nat) :: (~>) [a] [a]
type family TakeSym2 (a6989586621679814249 :: Nat) (a6989586621679814250 :: [a]) :: [a] where ...
data DropSym0 :: (~>) Nat ((~>) [a] [a])
data DropSym1 (a6989586621679814236 :: Nat) :: (~>) [a] [a]
type family DropSym2 (a6989586621679814236 :: Nat) (a6989586621679814237 :: [a]) :: [a] where ...
data TakeWhileSym0 :: (~>) ((~>) a Bool) ((~>) [a] [a])
data TakeWhileSym1 (a6989586621679814366 :: (~>) a Bool) :: (~>) [a] [a]
type family TakeWhileSym2 (a6989586621679814366 :: (~>) a Bool) (a6989586621679814367 :: [a]) :: [a] where ...
data DropWhileSym0 :: (~>) ((~>) a Bool) ((~>) [a] [a])
data DropWhileSym1 (a6989586621679814351 :: (~>) a Bool) :: (~>) [a] [a]
type family DropWhileSym2 (a6989586621679814351 :: (~>) a Bool) (a6989586621679814352 :: [a]) :: [a] where ...
data DropWhileEndSym0 :: (~>) ((~>) a Bool) ((~>) [a] [a])
data DropWhileEndSym1 (a6989586621679814334 :: (~>) a Bool) :: (~>) [a] [a]
type family DropWhileEndSym2 (a6989586621679814334 :: (~>) a Bool) (a6989586621679814335 :: [a]) :: [a] where ...
data SpanSym0 :: (~>) ((~>) a Bool) ((~>) [a] ([a], [a]))
data SpanSym1 (a6989586621679814297 :: (~>) a Bool) :: (~>) [a] ([a], [a])
type family SpanSym2 (a6989586621679814297 :: (~>) a Bool) (a6989586621679814298 :: [a]) :: ([a], [a]) where ...
data BreakSym0 :: (~>) ((~>) a Bool) ((~>) [a] ([a], [a]))
data BreakSym1 (a6989586621679814262 :: (~>) a Bool) :: (~>) [a] ([a], [a])
type family BreakSym2 (a6989586621679814262 :: (~>) a Bool) (a6989586621679814263 :: [a]) :: ([a], [a]) where ...
data SplitAtSym0 :: (~>) Nat ((~>) [a] ([a], [a]))
data SplitAtSym1 (a6989586621679814229 :: Nat) :: (~>) [a] ([a], [a])
type family SplitAtSym2 (a6989586621679814229 :: Nat) (a6989586621679814230 :: [a]) :: ([a], [a]) where ...
data NotElemSym0 :: (~>) a ((~>) (t a) Bool)
data NotElemSym1 (a6989586621680367078 :: a) :: (~>) (t a) Bool
type family NotElemSym2 (a6989586621680367078 :: a) (a6989586621680367079 :: t a) :: Bool where ...
data LookupSym0 :: (~>) a ((~>) [(a, b)] (Maybe b))
data LookupSym1 (a6989586621679814157 :: a) :: (~>) [(a, b)] (Maybe b)
type family LookupSym2 (a6989586621679814157 :: a) (a6989586621679814158 :: [(a, b)]) :: Maybe b where ...
data ZipSym0 :: (~>) [a] ((~>) [b] [(a, b)])
data ZipSym1 (a6989586621679814784 :: [a]) :: (~>) [b] [(a, b)]
type family ZipSym2 (a6989586621679814784 :: [a]) (a6989586621679814785 :: [b]) :: [(a, b)] where ...
data Zip3Sym0 :: (~>) [a] ((~>) [b] ((~>) [c] [(a, b, c)]))
data Zip3Sym1 (a6989586621679814772 :: [a]) :: (~>) [b] ((~>) [c] [(a, b, c)])
data Zip3Sym2 (a6989586621679814772 :: [a]) (a6989586621679814773 :: [b]) :: (~>) [c] [(a, b, c)]
type family Zip3Sym3 (a6989586621679814772 :: [a]) (a6989586621679814773 :: [b]) (a6989586621679814774 :: [c]) :: [(a, b, c)] where ...
data ZipWithSym0 :: (~>) ((~>) a ((~>) b c)) ((~>) [a] ((~>) [b] [c]))
data ZipWithSym1 (a6989586621679814760 :: (~>) a ((~>) b c)) :: (~>) [a] ((~>) [b] [c])
data ZipWithSym2 (a6989586621679814760 :: (~>) a ((~>) b c)) (a6989586621679814761 :: [a]) :: (~>) [b] [c]
type family ZipWithSym3 (a6989586621679814760 :: (~>) a ((~>) b c)) (a6989586621679814761 :: [a]) (a6989586621679814762 :: [b]) :: [c] where ...
data ZipWith3Sym0 :: (~>) ((~>) a ((~>) b ((~>) c d))) ((~>) [a] ((~>) [b] ((~>) [c] [d])))
data ZipWith3Sym1 (a6989586621679814745 :: (~>) a ((~>) b ((~>) c d))) :: (~>) [a] ((~>) [b] ((~>) [c] [d]))
data ZipWith3Sym2 (a6989586621679814745 :: (~>) a ((~>) b ((~>) c d))) (a6989586621679814746 :: [a]) :: (~>) [b] ((~>) [c] [d])
data ZipWith3Sym3 (a6989586621679814745 :: (~>) a ((~>) b ((~>) c d))) (a6989586621679814746 :: [a]) (a6989586621679814747 :: [b]) :: (~>) [c] [d]
data UnzipSym0 :: (~>) [(a, b)] ([a], [b])
type family UnzipSym1 (a6989586621679814726 :: [(a, b)]) :: ([a], [b]) where ...
data Unzip3Sym0 :: (~>) [(a, b, c)] ([a], [b], [c])
type family Unzip3Sym1 (a6989586621679814708 :: [(a, b, c)]) :: ([a], [b], [c]) where ...
data UnlinesSym0 :: (~>) [Symbol] Symbol
type family UnlinesSym1 (a6989586621679814611 :: [Symbol]) :: Symbol where ...
data UnwordsSym0 :: (~>) [Symbol] Symbol
type family UnwordsSym1 (a6989586621679814601 :: [Symbol]) :: Symbol where ...
data ShowsPrecSym0 :: (~>) Nat ((~>) a ((~>) Symbol Symbol))
data ShowsPrecSym1 (a6989586621680196507 :: Nat) :: (~>) a ((~>) Symbol Symbol)
data ShowsPrecSym2 (a6989586621680196507 :: Nat) (a6989586621680196508 :: a) :: (~>) Symbol Symbol
type family ShowsPrecSym3 (a6989586621680196507 :: Nat) (a6989586621680196508 :: a) (a6989586621680196509 :: Symbol) :: Symbol where ...
data ShowListSym0 :: (~>) [a] ((~>) Symbol Symbol)
data ShowListSym1 (a6989586621680196516 :: [a]) :: (~>) Symbol Symbol
type family ShowListSym2 (a6989586621680196516 :: [a]) (a6989586621680196517 :: Symbol) :: Symbol where ...
data Show_Sym0 :: (~>) a Symbol
type family Show_Sym1 (a6989586621680196512 :: a) :: Symbol where ...
data ShowsSym0 :: (~>) a ((~>) Symbol Symbol)
data ShowsSym1 (a6989586621680196499 :: a) :: (~>) Symbol Symbol
type family ShowsSym2 (a6989586621680196499 :: a) (a6989586621680196500 :: Symbol) :: Symbol where ...
data ShowCharSym0 :: (~>) Symbol ((~>) Symbol Symbol)
data ShowCharSym1 (a6989586621680196473 :: Symbol) :: (~>) Symbol Symbol
type family ShowCharSym2 (a6989586621680196473 :: Symbol) (a6989586621680196474 :: Symbol) :: Symbol where ...
data ShowStringSym0 :: (~>) Symbol ((~>) Symbol Symbol)
data ShowStringSym1 (a6989586621680196462 :: Symbol) :: (~>) Symbol Symbol
type family ShowStringSym2 (a6989586621680196462 :: Symbol) (a6989586621680196463 :: Symbol) :: Symbol where ...
data ShowParenSym0 :: (~>) Bool ((~>) ((~>) Symbol Symbol) ((~>) Symbol Symbol))
data ShowParenSym1 (a6989586621680196446 :: Bool) :: (~>) ((~>) Symbol Symbol) ((~>) Symbol Symbol)
data ShowParenSym2 (a6989586621680196446 :: Bool) (a6989586621680196447 :: (~>) 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 ... #

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

Equations

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

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

Conditional over singletons

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

Type-level "and"

Equations

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

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

Conjunction of singletons

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

Type-level "or"

Equations

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

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

Disjunction of singletons

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

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

Since: base-4.7.0.0

Equations

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

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

Negation of a singleton

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

Equations

Otherwise = TrueSym0

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

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

Constructors

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

Instances

Instances details

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

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

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

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

Equations

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

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

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

Constructors

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

Instances

Instances details

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

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

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

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

Equations

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

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

data SOrdering :: Ordering -> Type where Source #

Constructors

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

Instances

Instances details

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

type SChar = Symbol Source #

GHC currently has no notion of type-level Chars, so we fake them with single-character Symbols.

data Symbol #

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

Instances

Instances details

Eq Symbol Source #	This bogus instance is helpful for people who want to define functions over Symbols that will only be used at the type level or as singletons.
Instance details Defined in GHC.TypeLits.Singletons Methods (==) :: Symbol -> Symbol -> Bool # (/=) :: Symbol -> Symbol -> Bool #
Ord Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons Methods compare :: Symbol -> Symbol -> Ordering # (<) :: Symbol -> Symbol -> Bool # (<=) :: Symbol -> Symbol -> Bool # (>) :: Symbol -> Symbol -> Bool # (>=) :: Symbol -> Symbol -> Bool # max :: Symbol -> Symbol -> Symbol # min :: Symbol -> Symbol -> Symbol #
Show Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons Methods showsPrec :: Int -> Symbol -> ShowS # show :: Symbol -> String # showList :: [Symbol] -> ShowS #
IsString Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons Methods fromString :: String -> Symbol #
Semigroup Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons Methods (<>) :: Symbol -> Symbol -> Symbol # sconcat :: NonEmpty Symbol -> Symbol # stimes :: Integral b => b -> Symbol -> Symbol #
Monoid Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons Methods mempty :: Symbol # mappend :: Symbol -> Symbol -> Symbol # mconcat :: [Symbol] -> 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) #
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 #
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	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Associated Types type DemoteRep Symbol Methods fromSing :: forall (a :: Symbol). Sing a -> DemoteRep Symbol
SEq Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods (%==) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t) Source # (%/=) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t) Source #
PEq Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Associated Types type arg == arg :: Bool Source # type arg /= arg :: Bool Source #
SOrd Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sCompare :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) Source # (%<) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) Source # (%<=) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) Source # (%>) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) Source # (%>=) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) Source # sMax :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) Source # sMin :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) Source #
POrd Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Associated Types type Compare arg arg :: Ordering Source # type arg < arg :: Bool Source # type arg <= arg :: Bool Source # type arg > arg :: Bool Source # type arg >= arg :: Bool Source # type Max arg arg :: a Source # type Min arg arg :: a Source #
SSemigroup Symbol Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods (%<>) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) Source # sSconcat :: forall (t :: NonEmpty Symbol). Sing t -> Sing (Apply SconcatSym0 t) Source #
PSemigroup Symbol Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg <> arg :: a Source # type Sconcat arg :: a Source #
SShow Symbol Source #
Instance details Defined in Text.Show.Singletons Methods sShowsPrec :: forall (t :: Nat) (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) Source # sShow_ :: forall (t :: Symbol). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t :: [Symbol]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) Source #
PShow Symbol Source #
Instance details Defined in Text.Show.Singletons Associated Types type ShowsPrec arg arg arg :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg :: Symbol Source #
SMonoid Symbol Source #
Instance details Defined in Data.Monoid.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) Source # sMconcat :: forall (t :: [Symbol]). Sing t -> Sing (Apply MconcatSym0 t) Source #
PMonoid Symbol Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg :: a Source # type Mconcat arg :: a Source #
SIsString Symbol Source #
Instance details Defined in Data.String.Singletons Methods sFromString :: forall (t :: Symbol). Sing t -> Sing (Apply FromStringSym0 t) Source #
PIsString Symbol Source #
Instance details Defined in Data.String.Singletons Associated Types type FromString arg :: a Source #
KnownSymbol n => SingI (n :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sing :: Sing n #
KnownSymbol a => SingI (a :: Symbol)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods sing :: Sing a
SingI t => SingI ('Text t :: ErrorMessage' Symbol) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing ('Text t) #
SingI ty => SingI ('ShowType ty :: ErrorMessage' Symbol) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing ('ShowType ty) #
(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 ShowParenSym0 Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowParenSym0 #
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 ShowSpaceSym0 Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowSpaceSym0 #
SingI ShowCommaSpaceSym0 Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowCommaSpaceSym0 #
SingI ShowCharSym0 Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowCharSym0 #
SingI ShowStringSym0 Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowStringSym0 #
SuppressUnusedWarnings ShowParenSym0 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 KnownSymbolSym0 Source #
Instance details Defined in GHC.TypeLits.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings ShowSpaceSym0 Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings ShowCommaSpaceSym0 Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings ShowCharSym0 Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings ShowStringSym0 Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SingI (TypeErrorSym0 :: TyFun PErrorMessage a -> Type) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing TypeErrorSym0 #
SShow a => SingI (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowListSym0 #
SShow a => SingI (ShowsPrecSym0 :: TyFun Nat (a ~> (Symbol ~> Symbol)) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowsPrecSym0 #
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 (TextSym0 :: TyFun Symbol (ErrorMessage' Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing TextSym0 #
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 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 (:<>:@#@$) #
SuppressUnusedWarnings (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowsPrecSym0 :: TyFun Nat (a ~> (Symbol ~> Symbol)) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowCharSym1 a6989586621680196473 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowStringSym1 a6989586621680196462 :: 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 (Show_Sym0 :: TyFun a Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowParenSym1 a6989586621680196446 :: 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 :: () #
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) #
(SShow a, SingI d) => SingI (ShowsSym1 d :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowsSym1 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) #
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 #
SingI (ShowTypeSym0 :: TyFun t (ErrorMessage' Symbol) -> Type) Source #
Instance details Defined in Data.Singletons.Base.TypeError Methods sing :: Sing ShowTypeSym0 #
(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 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) #
SuppressUnusedWarnings (ShowListWithSym1 a6989586621680196481 :: TyFun [a] (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowListSym1 a6989586621680196516 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowsSym1 a6989586621680196499 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowParenSym2 a6989586621680196446 a6989586621680196447 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowsPrecSym1 a6989586621680196507 :: TyFun a (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
(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) #
(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) #
SuppressUnusedWarnings (ShowsPrecSym2 a6989586621680196507 a6989586621680196508 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
SuppressUnusedWarnings (ShowListWithSym2 a6989586621680196481 a6989586621680196482 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Sing Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Sing = SSymbol
type Sing Source #
Instance details Defined in Data.Singletons.Base.TypeError type Sing = SErrorMessage
type Demote Symbol Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Demote Symbol = Text
type Demote PErrorMessage Source #
Instance details Defined in Data.Singletons.Base.TypeError type Demote PErrorMessage = ErrorMessage
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 Mempty Source #
Instance details Defined in Data.Monoid.Singletons type Mempty
type Sconcat (arg :: NonEmpty Symbol) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sconcat (arg :: NonEmpty Symbol)
type Show_ (arg :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Show_ (arg :: Symbol)
type Mconcat (arg :: [Symbol]) Source #
Instance details Defined in Data.Monoid.Singletons type Mconcat (arg :: [Symbol])
type FromString a Source #
Instance details Defined in Data.String.Singletons type FromString a = a
type (x :: Symbol) == (y :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type (x :: Symbol) == (y :: Symbol) = DefaultEq x y
type (arg1 :: Symbol) /= (arg2 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type (arg1 :: Symbol) /= (arg2 :: Symbol)
type Compare (a :: Symbol) (b :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Compare (a :: Symbol) (b :: Symbol) = CmpSymbol a b
type (arg1 :: Symbol) < (arg2 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type (arg1 :: Symbol) < (arg2 :: Symbol)
type (arg1 :: Symbol) <= (arg2 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type (arg1 :: Symbol) <= (arg2 :: Symbol)
type (arg1 :: Symbol) > (arg2 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type (arg1 :: Symbol) > (arg2 :: Symbol)
type (arg1 :: Symbol) >= (arg2 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type (arg1 :: Symbol) >= (arg2 :: Symbol)
type Max (arg1 :: Symbol) (arg2 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Max (arg1 :: Symbol) (arg2 :: Symbol)
type Min (arg1 :: Symbol) (arg2 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Min (arg1 :: Symbol) (arg2 :: Symbol)
type (a :: Symbol) <> (b :: Symbol) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type (a :: Symbol) <> (b :: Symbol) = AppendSymbol a b
type ShowList (arg1 :: [Symbol]) arg2 Source #
Instance details Defined in Text.Show.Singletons type ShowList (arg1 :: [Symbol]) arg2
type Mappend (arg1 :: Symbol) (arg2 :: Symbol) Source #
Instance details Defined in Data.Monoid.Singletons type Mappend (arg1 :: Symbol) (arg2 :: Symbol)
type Apply KnownSymbolSym0 (a6989586621679528271 :: Symbol) Source #
Instance details Defined in GHC.TypeLits.Singletons type Apply KnownSymbolSym0 (a6989586621679528271 :: Symbol) = KnownSymbol a6989586621679528271
type Apply ShowSpaceSym0 (a6989586621680196434 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply ShowSpaceSym0 (a6989586621680196434 :: Symbol) = ShowSpace a6989586621680196434
type Apply ShowCommaSpaceSym0 (a6989586621680196428 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply ShowCommaSpaceSym0 (a6989586621680196428 :: Symbol) = ShowCommaSpace a6989586621680196428
type ShowsPrec a1 (a2 :: Symbol) a3 Source #
Instance details Defined in Text.Show.Singletons type ShowsPrec a1 (a2 :: Symbol) a3
type Apply (ShowCharSym1 a6989586621680196473 :: TyFun Symbol Symbol -> Type) (a6989586621680196474 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowCharSym1 a6989586621680196473 :: TyFun Symbol Symbol -> Type) (a6989586621680196474 :: Symbol) = ShowChar a6989586621680196473 a6989586621680196474
type Apply (ShowStringSym1 a6989586621680196462 :: TyFun Symbol Symbol -> Type) (a6989586621680196463 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowStringSym1 a6989586621680196462 :: TyFun Symbol Symbol -> Type) (a6989586621680196463 :: Symbol) = ShowString a6989586621680196462 a6989586621680196463
type Apply (FromStringSym0 :: TyFun Symbol k2 -> Type) (a6989586621681219672 :: Symbol) Source #
Instance details Defined in Data.String.Singletons type Apply (FromStringSym0 :: TyFun Symbol k2 -> Type) (a6989586621681219672 :: Symbol) = FromString a6989586621681219672 :: k2
type Apply (Show_Sym0 :: TyFun a Symbol -> Type) (a6989586621680196512 :: a) Source #
Instance details Defined in Text.Show.Singletons type Apply (Show_Sym0 :: TyFun a Symbol -> Type) (a6989586621680196512 :: a) = Show_ a6989586621680196512
type Apply (TypeErrorSym0 :: TyFun PErrorMessage k2 -> Type) (a6989586621679646232 :: PErrorMessage) Source #
Instance details Defined in Data.Singletons.Base.TypeError type Apply (TypeErrorSym0 :: TyFun PErrorMessage k2 -> Type) (a6989586621679646232 :: PErrorMessage) = TypeError a6989586621679646232 :: k2
type Apply (ShowListSym1 a6989586621680196516 :: TyFun Symbol Symbol -> Type) (a6989586621680196517 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowListSym1 a6989586621680196516 :: TyFun Symbol Symbol -> Type) (a6989586621680196517 :: Symbol) = ShowList a6989586621680196516 a6989586621680196517
type Apply (ShowsSym1 a6989586621680196499 :: TyFun Symbol Symbol -> Type) (a6989586621680196500 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsSym1 a6989586621680196499 :: TyFun Symbol Symbol -> Type) (a6989586621680196500 :: Symbol) = Shows a6989586621680196499 a6989586621680196500
type Apply (ShowParenSym2 a6989586621680196446 a6989586621680196447 :: TyFun Symbol Symbol -> Type) (a6989586621680196448 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowParenSym2 a6989586621680196446 a6989586621680196447 :: TyFun Symbol Symbol -> Type) (a6989586621680196448 :: Symbol) = ShowParen a6989586621680196446 a6989586621680196447 a6989586621680196448
type Apply (ShowsPrecSym2 a6989586621680196507 a6989586621680196508 :: TyFun Symbol Symbol -> Type) (a6989586621680196509 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsPrecSym2 a6989586621680196507 a6989586621680196508 :: TyFun Symbol Symbol -> Type) (a6989586621680196509 :: Symbol) = ShowsPrec a6989586621680196507 a6989586621680196508 a6989586621680196509
type Apply (ShowListWithSym2 a6989586621680196481 a6989586621680196482 :: TyFun Symbol Symbol -> Type) (a6989586621680196483 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowListWithSym2 a6989586621680196481 a6989586621680196482 :: TyFun Symbol Symbol -> Type) (a6989586621680196483 :: Symbol) = ShowListWith a6989586621680196481 a6989586621680196482 a6989586621680196483
type Apply ShowParenSym0 (a6989586621680196446 :: Bool) Source #
Instance details Defined in Text.Show.Singletons type Apply ShowParenSym0 (a6989586621680196446 :: Bool) = ShowParenSym1 a6989586621680196446
type Apply ShowCharSym0 (a6989586621680196473 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply ShowCharSym0 (a6989586621680196473 :: Symbol) = ShowCharSym1 a6989586621680196473
type Apply ShowStringSym0 (a6989586621680196462 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply ShowStringSym0 (a6989586621680196462 :: Symbol) = ShowStringSym1 a6989586621680196462
type Apply (ShowsPrecSym0 :: TyFun Nat (a ~> (Symbol ~> Symbol)) -> Type) (a6989586621680196507 :: Nat) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsPrecSym0 :: TyFun Nat (a ~> (Symbol ~> Symbol)) -> Type) (a6989586621680196507 :: Nat) = ShowsPrecSym1 a6989586621680196507 :: TyFun a (Symbol ~> Symbol) -> Type
type Apply (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621680196499 :: a) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621680196499 :: a) = ShowsSym1 a6989586621680196499
type Apply (ShowsPrecSym1 a6989586621680196507 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621680196508 :: a) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsPrecSym1 a6989586621680196507 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621680196508 :: a) = ShowsPrecSym2 a6989586621680196507 a6989586621680196508
type Apply UnlinesSym0 (a6989586621679814611 :: [Symbol]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply UnlinesSym0 (a6989586621679814611 :: [Symbol]) = Unlines a6989586621679814611
type Apply UnwordsSym0 (a6989586621679814601 :: [Symbol]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply UnwordsSym0 (a6989586621679814601 :: [Symbol]) = Unwords a6989586621679814601
type Apply (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621680196516 :: [a]) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621680196516 :: [a]) = ShowListSym1 a6989586621680196516
type Apply (ShowListWithSym1 a6989586621680196481 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621680196482 :: [a]) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowListWithSym1 a6989586621680196481 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621680196482 :: [a]) = ShowListWithSym2 a6989586621680196481 a6989586621680196482
type Apply (ShowParenSym1 a6989586621680196446 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) (a6989586621680196447 :: Symbol ~> Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowParenSym1 a6989586621680196446 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) (a6989586621680196447 :: Symbol ~> Symbol) = ShowParenSym2 a6989586621680196446 a6989586621680196447
type Apply (ShowListWithSym0 :: TyFun (a ~> (Symbol ~> Symbol)) ([a] ~> (Symbol ~> Symbol)) -> Type) (a6989586621680196481 :: a ~> (Symbol ~> Symbol)) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowListWithSym0 :: TyFun (a ~> (Symbol ~> Symbol)) ([a] ~> (Symbol ~> Symbol)) -> Type) (a6989586621680196481 :: a ~> (Symbol ~> Symbol)) = ShowListWithSym1 a6989586621680196481

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

Constructors

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

Instances

Instances details

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

Tuples

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

Constructors

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

Instances

Instances details

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

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

Constructors

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

Instances

Instances details

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

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

Constructors

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

Instances

Instances details

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

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

Constructors

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

Instances

Instances details

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

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

Constructors

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

Instances

Instances details

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

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

Constructors

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

Instances

Instances details

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

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

Constructors

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

Instances

Instances details

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

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

Equations

Fst '(x, _) = x

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

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

Equations

Snd '(_, y) = y

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

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

Equations

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

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

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

Equations

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

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

Basic type classes

class PEq a Source #

Associated Types

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

type a == a = Apply (Apply TFHelper_6989586621679131024Sym0 a) a

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

type a /= a = Apply (Apply TFHelper_6989586621679131013Sym0 a) a

Instances

Instances details

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

class SEq a where Source #

Minimal complete definition

Nothing

Methods

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

default (%==) :: forall (t :: a) (t :: a). (Apply (Apply (==@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679131024Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t :: Bool) Source #

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

default (%/=) :: forall (t :: a) (t :: a). (Apply (Apply (/=@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679131013Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t :: Bool) Source #

Instances

Instances details

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

class POrd a Source #

Associated Types

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

type Compare a a = Apply (Apply Compare_6989586621679170769Sym0 a) a

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

type a < a = Apply (Apply TFHelper_6989586621679170790Sym0 a) a

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

type a <= a = Apply (Apply TFHelper_6989586621679170806Sym0 a) a

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

type a > a = Apply (Apply TFHelper_6989586621679170822Sym0 a) a

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

type a >= a = Apply (Apply TFHelper_6989586621679170838Sym0 a) a

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

type Max a a = Apply (Apply Max_6989586621679170854Sym0 a) a

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

type Min a a = Apply (Apply Min_6989586621679170870Sym0 a) a

Instances

Instances details

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

class SEq a => SOrd a where Source #

Minimal complete definition

Nothing

Methods

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

default sCompare :: forall (t :: a) (t :: a). (Apply (Apply CompareSym0 t) t :: Ordering) ~ Apply (Apply Compare_6989586621679170769Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t :: Ordering) Source #

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

default (%<) :: forall (t :: a) (t :: a). (Apply (Apply (<@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679170790Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t :: Bool) Source #

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

default (%<=) :: forall (t :: a) (t :: a). (Apply (Apply (<=@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679170806Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t :: Bool) Source #

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

default (%>) :: forall (t :: a) (t :: a). (Apply (Apply (>@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679170822Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t :: Bool) Source #

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

default (%>=) :: forall (t :: a) (t :: a). (Apply (Apply (>=@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679170838Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t :: Bool) Source #

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

default sMax :: forall (t :: a) (t :: a). (Apply (Apply MaxSym0 t) t :: a) ~ Apply (Apply Max_6989586621679170854Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t :: a) Source #

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

default sMin :: forall (t :: a) (t :: a). (Apply (Apply MinSym0 t) t :: a) ~ Apply (Apply Min_6989586621679170870Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t :: a) Source #

Instances

Instances details

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

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

class PEnum a Source #

Associated Types

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

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

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

type EnumFromTo a a = Apply (Apply EnumFromTo_6989586621679573425Sym0 a) a

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

type EnumFromThenTo a a a = Apply (Apply (Apply EnumFromThenTo_6989586621679573437Sym0 a) a) a

Instances

Instances details

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

class SEnum a where Source #

Minimal complete definition

sToEnum, sFromEnum

Methods

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

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

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

default sEnumFromTo :: forall (t :: a) (t :: a). (Apply (Apply EnumFromToSym0 t) t :: [a]) ~ Apply (Apply EnumFromTo_6989586621679573425Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t :: [a]) Source #

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

default sEnumFromThenTo :: forall (t :: a) (t :: a) (t :: a). (Apply (Apply (Apply EnumFromThenToSym0 t) t) t :: [a]) ~ Apply (Apply (Apply EnumFromThenTo_6989586621679573437Sym0 t) t) t => Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t :: [a]) Source #

Instances

Instances details

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

class PBounded a Source #

Associated Types

type MinBound :: a Source #

type MaxBound :: a Source #

Instances

Instances details

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

class SBounded a where Source #

Methods

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

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

Instances

Instances details

SBounded Bool Source #
Instance details Defined in Data.Singletons.Base.Enum 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 => SBounded All Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded Bool => SBounded Any Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (First a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Last a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded m => SBounded (WrappedMonoid m) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Identity a) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Dual a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SBounded a => SBounded (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
(SBounded a, SBounded b) => SBounded (a, b) Source #
Instance details Defined in Data.Singletons.Base.Enum 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 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 (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 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_6989586621679550155Sym0 a) a

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

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

type Negate a = Apply Negate_6989586621679550165Sym0 a

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

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

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

Instances

Instances details

PNum Nat Source #
Instance details Defined in GHC.Num.Singletons Associated Types type arg + arg :: a Source # type arg - arg :: a Source # type arg * arg :: a Source # type Negate arg :: a Source # type Abs arg :: a Source # type Signum arg :: a Source # type FromInteger arg :: a Source #
PNum (Min a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg + arg :: a Source # type arg - arg :: a Source # type arg * arg :: a Source # type Negate arg :: a Source # type Abs arg :: a Source # type Signum arg :: a Source # type FromInteger arg :: a Source #
PNum (Max a) Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type arg + arg :: a Source # type arg - arg :: a Source # type arg * arg :: a Source # type Negate arg :: a Source # type Abs arg :: a Source # type Signum arg :: a Source # type FromInteger arg :: a Source #
PNum (Identity a) Source #
Instance details Defined in Data.Functor.Identity.Singletons Associated Types type arg + arg :: a Source # type arg - arg :: a Source # type arg * arg :: a Source # type Negate arg :: a Source # type Abs arg :: a Source # type Signum arg :: a Source # type FromInteger arg :: a Source #
PNum (Sum a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg + arg :: a Source # type arg - arg :: a Source # type arg * arg :: a Source # type Negate arg :: a Source # type Abs arg :: a Source # type Signum arg :: a Source # type FromInteger arg :: a Source #
PNum (Product a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Associated Types type arg + arg :: a Source # type arg - arg :: a Source # type arg * arg :: a Source # type Negate arg :: a Source # type Abs arg :: a Source # type Signum arg :: a Source # type FromInteger arg :: a Source #
PNum (Down a) Source #
Instance details Defined in GHC.Num.Singletons Associated Types type arg + arg :: a Source # type arg - arg :: a Source # type arg * arg :: a Source # type Negate arg :: a Source # type Abs arg :: a Source # type Signum arg :: a Source # type FromInteger arg :: a Source #
PNum (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type arg + arg :: a Source # type arg - arg :: a Source # type arg * arg :: a Source # type Negate arg :: a Source # type Abs arg :: a Source # type Signum arg :: a Source # type FromInteger arg :: a Source #

class SNum a where Source #

Minimal complete definition

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

Methods

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

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

default (%-) :: forall (t :: a) (t :: a). (Apply (Apply (-@#@$) t) t :: a) ~ Apply (Apply TFHelper_6989586621679550155Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (-@#@$) t) t :: a) Source #

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

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

default sNegate :: forall (t :: a). (Apply NegateSym0 t :: a) ~ Apply Negate_6989586621679550165Sym0 t => Sing t -> Sing (Apply NegateSym0 t :: a) Source #

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

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

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

Instances

Instances details

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

Numeric functions

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

Equations

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

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

Semigroups and Monoids

class PSemigroup a Source #

Associated Types

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

Instances

Instances details

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

class SSemigroup a where Source #

Methods

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

Instances

Instances details

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

class PMonoid a Source #

Associated Types

type Mempty :: a Source #

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

type Mappend a a = Apply (Apply Mappend_6989586621680267913Sym0 a) a

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

type Mconcat a = Apply Mconcat_6989586621680267927Sym0 a

Instances

Instances details

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

class SSemigroup a => SMonoid a where Source #

Minimal complete definition

sMempty

Methods

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

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

default sMappend :: forall (t :: a) (t :: a). (Apply (Apply MappendSym0 t) t :: a) ~ Apply (Apply Mappend_6989586621680267913Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t :: a) Source #

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

default sMconcat :: forall (t :: [a]). (Apply MconcatSym0 t :: a) ~ Apply Mconcat_6989586621680267927Sym0 t => Sing t -> Sing (Apply MconcatSym0 t :: a) Source #

Instances

Instances details

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

Monads and functors

class PFunctor f Source #

Associated Types

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

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

type a <$ a = Apply (Apply TFHelper_6989586621679319164Sym0 a) a

Instances

Instances details

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

class SFunctor f where Source #

Minimal complete definition

sFmap

Methods

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

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

default (%<$) :: forall a b (t :: a) (t :: f b). (Apply (Apply (<$@#@$) t) t :: f a) ~ Apply (Apply TFHelper_6989586621679319164Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t :: f a) Source #

Instances

Instances details

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

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

Equations

a_6989586621679497624 <$> a_6989586621679497626 = Apply (Apply FmapSym0 a_6989586621679497624) a_6989586621679497626

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

class PApplicative f Source #

Associated Types

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

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

type a <*> a = Apply (Apply TFHelper_6989586621679319204Sym0 a) a

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

type a *> a = Apply (Apply TFHelper_6989586621679319236Sym0 a) a

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

type a <* a = Apply (Apply TFHelper_6989586621679319247Sym0 a) a

Instances

Instances details

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

class SFunctor f => SApplicative f where Source #

Minimal complete definition

sPure

Methods

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

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

default (%<*>) :: forall a b (t :: f ((~>) a b)) (t :: f a). (Apply (Apply (<*>@#@$) t) t :: f b) ~ Apply (Apply TFHelper_6989586621679319204Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<*>@#@$) t) t :: f b) Source #

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

default (%*>) :: forall a b (t :: f a) (t :: f b). (Apply (Apply (*>@#@$) t) t :: f b) ~ Apply (Apply TFHelper_6989586621679319236Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (*>@#@$) t) t :: f b) Source #

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

default (%<*) :: forall a b (t :: f a) (t :: f b). (Apply (Apply (<*@#@$) t) t :: f a) ~ Apply (Apply TFHelper_6989586621679319247Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<*@#@$) t) t :: f a) Source #

Instances

Instances details

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

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_6989586621679319275Sym0 a) a

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

type Return a = Apply Return_6989586621679319292Sym0 a

Instances

Instances details

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

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 (>>@#@$) t) t :: m b) ~ Apply (Apply TFHelper_6989586621679319275Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t :: m b) Source #

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

default sReturn :: forall a (t :: a). (Apply ReturnSym0 t :: m a) ~ Apply Return_6989586621679319292Sym0 t => Sing t -> Sing (Apply ReturnSym0 t :: m a) Source #

Instances

Instances details

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

class PMonadFail m Source #

Associated Types

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

Instances

Instances details

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

class SMonad m => SMonadFail m where Source #

Methods

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

Instances

Instances details

SMonadFail [] Source #
Instance details Defined in Control.Monad.Fail.Singletons Methods sFail :: forall a (t :: [Char]). Sing t -> Sing (Apply FailSym0 t) Source #
SMonadFail Maybe 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_6989586621680367208 = Apply (Apply (Apply FoldrSym0 (Apply (Apply (.@#@$) (>>@#@$)) f)) (Apply ReturnSym0 Tuple0Sym0)) a_6989586621680367208

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

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

Equations

Sequence_ a_6989586621680367185 = Apply (Apply (Apply FoldrSym0 (>>@#@$)) (Apply ReturnSym0 Tuple0Sym0)) a_6989586621680367185

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

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

Equations

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

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

Folds and traversals

class PFoldable t Source #

Associated Types

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

type FoldMap a a = Apply (Apply FoldMap_6989586621680367356Sym0 a) a

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

type Foldr a a a = Apply (Apply (Apply Foldr_6989586621680367370Sym0 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_6989586621680367408Sym0 a) a) a

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

type Foldr1 a a = Apply (Apply Foldr1_6989586621680367445Sym0 a) a

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

type Foldl1 a a = Apply (Apply Foldl1_6989586621680367466Sym0 a) a

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

type Elem a a = Apply (Apply Elem_6989586621680367531Sym0 a) a

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

type Maximum a = Apply Maximum_6989586621680367545Sym0 a

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

type Minimum a = Apply Minimum_6989586621680367560Sym0 a

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

type Sum a = Apply Sum_6989586621680367575Sym0 a

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

type Product a = Apply Product_6989586621680367584Sym0 a

Instances

Instances details

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

class SFoldable t where Source #

Minimal complete definition

Nothing

Methods

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

default sFoldMap :: forall a m (t :: (~>) a m) (t :: t a). ((Apply (Apply FoldMapSym0 t) t :: m) ~ Apply (Apply FoldMap_6989586621680367356Sym0 t) t, SMonoid m) => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t :: m) Source #

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

default sFoldr :: forall a b (t :: (~>) a ((~>) b b)) (t :: b) (t :: t a). (Apply (Apply (Apply FoldrSym0 t) t) t :: b) ~ Apply (Apply (Apply Foldr_6989586621680367370Sym0 t) t) t => Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t :: b) Source #

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

default sFoldl :: forall b a (t :: (~>) b ((~>) a b)) (t :: b) (t :: t a). (Apply (Apply (Apply FoldlSym0 t) t) t :: b) ~ Apply (Apply (Apply Foldl_6989586621680367408Sym0 t) t) t => Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t :: b) Source #

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

default sFoldr1 :: forall a (t :: (~>) a ((~>) a a)) (t :: t a). (Apply (Apply Foldr1Sym0 t) t :: a) ~ Apply (Apply Foldr1_6989586621680367445Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t :: a) Source #

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

default sFoldl1 :: forall a (t :: (~>) a ((~>) a a)) (t :: t a). (Apply (Apply Foldl1Sym0 t) t :: a) ~ Apply (Apply Foldl1_6989586621680367466Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t :: a) Source #

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

default sElem :: forall a (t :: a) (t :: t a). ((Apply (Apply ElemSym0 t) t :: Bool) ~ Apply (Apply Elem_6989586621680367531Sym0 t) t, SEq a) => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t :: Bool) Source #

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

default sMaximum :: forall a (t :: t a). ((Apply MaximumSym0 t :: a) ~ Apply Maximum_6989586621680367545Sym0 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_6989586621680367560Sym0 t, SOrd a) => Sing t -> Sing (Apply MinimumSym0 t :: a) Source #

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

default sSum :: forall a (t :: t a). ((Apply SumSym0 t :: a) ~ Apply Sum_6989586621680367575Sym0 t, SNum a) => Sing t -> Sing (Apply SumSym0 t :: a) Source #

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

default sProduct :: forall a (t :: t a). ((Apply ProductSym0 t :: a) ~ Apply Product_6989586621680367584Sym0 t, SNum a) => Sing t -> Sing (Apply ProductSym0 t :: a) Source #

Instances

Instances details

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

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_6989586621680721221Sym0 a) a

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

type SequenceA a = Apply SequenceA_6989586621680721233Sym0 a

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

type MapM a a = Apply (Apply MapM_6989586621680721243Sym0 a) a

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

type Sequence a = Apply Sequence_6989586621680721257Sym0 a

Instances

Instances details

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

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

Minimal complete definition

Nothing

Methods

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

default sTraverse :: forall a f b (t :: (~>) a (f b)) (t :: t a). ((Apply (Apply TraverseSym0 t) t :: f (t b)) ~ Apply (Apply Traverse_6989586621680721221Sym0 t) t, SApplicative f) => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t :: f (t b)) Source #

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

default sSequenceA :: forall f a (t :: t (f a)). ((Apply SequenceASym0 t :: f (t a)) ~ Apply SequenceA_6989586621680721233Sym0 t, SApplicative f) => Sing t -> Sing (Apply SequenceASym0 t :: f (t a)) Source #

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

default sMapM :: forall a m b (t :: (~>) a (m b)) (t :: t a). ((Apply (Apply MapMSym0 t) t :: m (t b)) ~ Apply (Apply MapM_6989586621680721243Sym0 t) t, SMonad m) => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t :: m (t b)) Source #

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

default sSequence :: forall m a (t :: t (m a)). ((Apply SequenceSym0 t :: m (t a)) ~ Apply Sequence_6989586621680721257Sym0 t, SMonad m) => Sing t -> Sing (Apply SequenceSym0 t :: m (t a)) Source #

Instances

Instances details

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

Miscellaneous functions

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

Equations

Id x = x

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

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

Equations

Const x _ = x

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

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

Equations

(f . g) a_6989586621679274050 = Apply (Apply (Apply (Apply Lambda_6989586621679274062Sym0 f) g) a_6989586621679274050) a_6989586621679274050

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

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

Equations

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

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

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

Equations

f $ x = Apply f x

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

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

Equations

Until p f a_6989586621679273992 = Apply (Let6989586621679274004GoSym3 p f a_6989586621679273992) a_6989586621679273992

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

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

Equations

AsTypeOf a_6989586621679274029 a_6989586621679274031 = Apply (Apply ConstSym0 a_6989586621679274029) a_6989586621679274031

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

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

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

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

The singleton for error

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

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

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

The singleton for errorWithoutStackTrace.

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

The promotion of undefined.

sUndefined :: HasCallStack => a Source #

The singleton for undefined.

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

Equations

Seq _ x = x

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

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

Equations

f $! x = Apply f (Let6989586621679274020VxSym2 f x)

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

List operations

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

Equations

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

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

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

Equations

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

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

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

Equations

Filter _p '[] = NilSym0
Filter p ('(:) x xs) = Case_6989586621679814474 p x xs (Let6989586621679814472Scrutinee_6989586621679810505Sym3 p x xs)

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

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

Equations

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

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

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

Equations

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

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

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

Equations

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

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

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

Equations

Init '[] = Apply ErrorSym0 "Data.Singletons.List.init: empty list"
Init ('(:) x xs) = Apply (Apply (Let6989586621679815217Init'Sym2 x xs) x) xs

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

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

Equations

'[] !! _ = Apply ErrorSym0 "Data.Singletons.List.!!: index too large"
('(:) x xs) !! n = Case_6989586621679814081 x xs n (Let6989586621679814079Scrutinee_6989586621679810545Sym3 x xs n)

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

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

Instances

Instances details

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

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

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

Instances

Instances details

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

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

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

Equations

Reverse l = Apply (Apply (Let6989586621679815201RevSym1 l) l) NilSym0

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

Special folds

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

Equations

And a_6989586621680367146 = Apply (Apply (Apply (.@#@$) GetAllSym0) (Apply FoldMapSym0 All_Sym0)) a_6989586621680367146

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

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

Equations

Or a_6989586621680367140 = Apply (Apply (Apply (.@#@$) GetAnySym0) (Apply FoldMapSym0 Any_Sym0)) a_6989586621680367140

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

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

Equations

Any p a_6989586621680367131 = Apply (Apply (Apply (.@#@$) GetAnySym0) (Apply FoldMapSym0 (Apply (Apply (.@#@$) Any_Sym0) p))) a_6989586621680367131

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

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

Equations

All p a_6989586621680367122 = Apply (Apply (Apply (.@#@$) GetAllSym0) (Apply FoldMapSym0 (Apply (Apply (.@#@$) All_Sym0) p))) a_6989586621680367122

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

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

Equations

Concat xs = Apply (Apply (Apply FoldrSym0 (Apply Lambda_6989586621680367168Sym0 xs)) NilSym0) xs

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

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

Equations

ConcatMap f xs = Apply (Apply (Apply FoldrSym0 (Apply (Apply Lambda_6989586621680367159Sym0 f) xs)) NilSym0) xs

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

Building lists

Scans

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

Equations

Scanl f q ls = Apply (Apply (:@#@$) q) (Case_6989586621679815010 f q ls ls)

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

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

Equations

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

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

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

Equations

Scanr _ q0 '[] = Apply (Apply (:@#@$) q0) NilSym0
Scanr f q0 ('(:) x xs) = Case_6989586621679814987 f q0 x xs (Let6989586621679814985Scrutinee_6989586621679810435Sym4 f q0 x xs)

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

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

Equations

Scanr1 _ '[] = NilSym0
Scanr1 _ '[x] = Apply (Apply (:@#@$) x) NilSym0
Scanr1 f ('(:) x ('(:) wild_6989586621679810447 wild_6989586621679810449)) = Case_6989586621679814968 f x wild_6989586621679810447 wild_6989586621679810449 (Let6989586621679814966Scrutinee_6989586621679810441Sym4 f x wild_6989586621679810447 wild_6989586621679810449)

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

Infinite lists

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

Equations

Replicate n x = Case_6989586621679814100 n x (Let6989586621679814098Scrutinee_6989586621679810543Sym2 n x)

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

Sublists

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

Equations

Take _ '[] = NilSym0
Take n ('(:) x xs) = Case_6989586621679814256 n x xs (Let6989586621679814254Scrutinee_6989586621679810527Sym3 n x xs)

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

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

Equations

Drop _ '[] = NilSym0
Drop n ('(:) x xs) = Case_6989586621679814243 n x xs (Let6989586621679814241Scrutinee_6989586621679810529Sym3 n x xs)

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

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

Equations

TakeWhile _ '[] = NilSym0
TakeWhile p ('(:) x xs) = Case_6989586621679814373 p x xs (Let6989586621679814371Scrutinee_6989586621679810517Sym3 p x xs)

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

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

Equations

DropWhile _ '[] = NilSym0
DropWhile p ('(:) x xs') = Case_6989586621679814360 p x xs' (Let6989586621679814358Scrutinee_6989586621679810519Sym3 p x xs')

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

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

Equations

Span _ '[] = Apply (Apply Tuple2Sym0 Let6989586621679814299XsSym0) Let6989586621679814299XsSym0
Span p ('(:) x xs') = Case_6989586621679814308 p x xs' (Let6989586621679814306Scrutinee_6989586621679810523Sym3 p x xs')

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

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

Equations

Break _ '[] = Apply (Apply Tuple2Sym0 Let6989586621679814264XsSym0) Let6989586621679814264XsSym0
Break p ('(:) x xs') = Case_6989586621679814273 p x xs' (Let6989586621679814271Scrutinee_6989586621679810525Sym3 p x xs')

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

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

Equations

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

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

Searching lists

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

Equations

NotElem x a_6989586621680367073 = Apply (Apply (Apply (.@#@$) NotSym0) (Apply ElemSym0 x)) a_6989586621680367073

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

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

Equations

Lookup _key '[] = NothingSym0
Lookup key ('(:) '(x, y) xys) = Case_6989586621679814166 key x y xys (Let6989586621679814164Scrutinee_6989586621679810539Sym4 key x y xys)

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

Zipping and unzipping lists

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

Equations

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

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

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

Equations

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

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

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

Equations

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

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

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

Equations

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

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

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

Equations

Unzip xs = Apply (Apply (Apply FoldrSym0 (Apply Lambda_6989586621679814728Sym0 xs)) (Apply (Apply Tuple2Sym0 NilSym0) NilSym0)) xs

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

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

Equations

Unzip3 xs = Apply (Apply (Apply FoldrSym0 (Apply Lambda_6989586621679814710Sym0 xs)) (Apply (Apply (Apply Tuple3Sym0 NilSym0) NilSym0) NilSym0)) xs

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

Functions on `Symbol`s

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

Equations

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

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

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

Equations

Unwords '[] = ""
Unwords ('(:) w ws) = Apply (Apply (<>@#@$) w) (Apply (Let6989586621679814604GoSym2 w ws) ws)

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

Converting to and from `Symbol`

Converting to `Symbol`

type SymbolS = Symbol -> Symbol Source #

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

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

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

class PShow a Source #

Associated Types

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

type ShowsPrec a a a = Apply (Apply (Apply ShowsPrec_6989586621680196521Sym0 a) a) a

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

type Show_ a = Apply Show__6989586621680196533Sym0 a

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

type ShowList a a = Apply (Apply ShowList_6989586621680196541Sym0 a) a

Instances

Instances details

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

class SShow a where Source #

Minimal complete definition

Nothing

Methods

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

default sShowsPrec :: forall (t :: Nat) (t :: a) (t :: Symbol). (Apply (Apply (Apply ShowsPrecSym0 t) t) t :: Symbol) ~ Apply (Apply (Apply ShowsPrec_6989586621680196521Sym0 t) t) t => Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t :: Symbol) Source #

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

default sShow_ :: forall (t :: a). (Apply Show_Sym0 t :: Symbol) ~ Apply Show__6989586621680196533Sym0 t => Sing t -> Sing (Apply Show_Sym0 t :: Symbol) Source #

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

default sShowList :: forall (t :: [a]) (t :: Symbol). (Apply (Apply ShowListSym0 t) t :: Symbol) ~ Apply (Apply ShowList_6989586621680196541Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t :: Symbol) Source #

Instances

Instances details

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

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

Equations

Shows s a_6989586621680196494 = Apply (Apply (Apply ShowsPrecSym0 (FromInteger 0)) s) a_6989586621680196494

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

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

Equations

ShowChar a_6989586621680196466 a_6989586621680196468 = Apply (Apply (<>@#@$) a_6989586621680196466) a_6989586621680196468

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

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

Equations

ShowString a_6989586621680196455 a_6989586621680196457 = Apply (Apply (<>@#@$) a_6989586621680196455) a_6989586621680196457

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

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

Equations

ShowParen b p a_6989586621680196440 = Apply (Case_6989586621680196452 b p a_6989586621680196440 b) a_6989586621680196440

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

Defunctionalization symbols

Basic data types

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

Equations

FalseSym0 = 'False

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

Equations

TrueSym0 = 'True

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

Instances

Instances details

SingI (IfSym0 :: TyFun Bool (k ~> (k ~> k)) -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods sing :: Sing IfSym0 #
SuppressUnusedWarnings (IfSym0 :: TyFun Bool (k ~> (k ~> k)) -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply (IfSym0 :: TyFun Bool (k ~> (k ~> k)) -> Type) (a6989586621679126966 :: Bool) Source #
Instance details Defined in Data.Bool.Singletons type Apply (IfSym0 :: TyFun Bool (k ~> (k ~> k)) -> Type) (a6989586621679126966 :: Bool) = IfSym1 a6989586621679126966 :: TyFun k (k ~> k) -> Type

data IfSym1 (a6989586621679126966 :: Bool) :: (~>) k ((~>) k k) Source #

Instances

Instances details

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 a6989586621679126966 :: TyFun k (k ~> k) -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply (IfSym1 a6989586621679126966 :: TyFun k (k ~> k) -> Type) (a6989586621679126967 :: k) Source #
Instance details Defined in Data.Bool.Singletons type Apply (IfSym1 a6989586621679126966 :: TyFun k (k ~> k) -> Type) (a6989586621679126967 :: k) = IfSym2 a6989586621679126966 a6989586621679126967

data IfSym2 (a6989586621679126966 :: Bool) (a6989586621679126967 :: k) :: (~>) k k Source #

Instances

Instances details

(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 a6989586621679126966 a6989586621679126967 :: TyFun k k -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply (IfSym2 a6989586621679126966 a6989586621679126967 :: TyFun k k -> Type) (a6989586621679126968 :: k) Source #
Instance details Defined in Data.Bool.Singletons type Apply (IfSym2 a6989586621679126966 a6989586621679126967 :: TyFun k k -> Type) (a6989586621679126968 :: k) = If a6989586621679126966 a6989586621679126967 a6989586621679126968

type family IfSym3 (a6989586621679126966 :: Bool) (a6989586621679126967 :: k) (a6989586621679126968 :: k) :: k where ... Source #

Equations

IfSym3 a6989586621679126966 a6989586621679126967 a6989586621679126968 = If a6989586621679126966 a6989586621679126967 a6989586621679126968

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

Instances

Instances details

SingI (&&@#@$) Source #
Instance details Defined in Data.Bool.Singletons Methods sing :: Sing (&&@#@$) #
SuppressUnusedWarnings (&&@#@$) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply (&&@#@$) (a6989586621679126062 :: Bool) Source #
Instance details Defined in Data.Bool.Singletons type Apply (&&@#@$) (a6989586621679126062 :: Bool) = (&&@#@$$) a6989586621679126062

data (&&@#@$$) (a6989586621679126062 :: 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 ((&&@#@$$) a6989586621679126062 :: TyFun Bool Bool -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((&&@#@$$) a6989586621679126062 :: TyFun Bool Bool -> Type) (a6989586621679126063 :: Bool) Source #
Instance details Defined in Data.Bool.Singletons type Apply ((&&@#@$$) a6989586621679126062 :: TyFun Bool Bool -> Type) (a6989586621679126063 :: Bool) = a6989586621679126062 && a6989586621679126063

type family (a6989586621679126062 :: Bool) &&@#@$$$ (a6989586621679126063 :: Bool) :: Bool where ... infixr 3 Source #

Equations

a6989586621679126062 &&@#@$$$ a6989586621679126063 = (&&) a6989586621679126062 a6989586621679126063

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

Instances

Instances details

SingI (\|\|@#@$) Source #
Instance details Defined in Data.Bool.Singletons Methods sing :: Sing (\|\|@#@$) #
SuppressUnusedWarnings (\|\|@#@$) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply (\|\|@#@$) (a6989586621679126411 :: Bool) Source #
Instance details Defined in Data.Bool.Singletons type Apply (\|\|@#@$) (a6989586621679126411 :: Bool) = (\|\|@#@$$) a6989586621679126411

data (||@#@$$) (a6989586621679126411 :: 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 ((\|\|@#@$$) a6989586621679126411 :: TyFun Bool Bool -> Type) Source #
Instance details Defined in Data.Bool.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((\|\|@#@$$) a6989586621679126411 :: TyFun Bool Bool -> Type) (a6989586621679126412 :: Bool) Source #
Instance details Defined in Data.Bool.Singletons type Apply ((\|\|@#@$$) a6989586621679126411 :: TyFun Bool Bool -> Type) (a6989586621679126412 :: Bool) = a6989586621679126411 \|\| a6989586621679126412

type family (a6989586621679126411 :: Bool) ||@#@$$$ (a6989586621679126412 :: Bool) :: Bool where ... infixr 2 Source #

Equations

a6989586621679126411 ||@#@$$$ a6989586621679126412 = (||) a6989586621679126411 a6989586621679126412

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 (a6989586621679126743 :: Bool) Source #
Instance details Defined in Data.Bool.Singletons type Apply NotSym0 (a6989586621679126743 :: Bool) = Not a6989586621679126743

type family NotSym1 (a6989586621679126743 :: Bool) :: Bool where ... Source #

Equations

NotSym1 a6989586621679126743 = Not a6989586621679126743

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) (a6989586621679041801 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (JustSym0 :: TyFun a (Maybe a) -> Type) (a6989586621679041801 :: a) = 'Just a6989586621679041801

type family JustSym1 (a6989586621679041801 :: a) :: Maybe (a :: Type) where ... Source #

Equations

JustSym1 a6989586621679041801 = 'Just a6989586621679041801

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) (a6989586621679537122 :: b) Source #
Instance details Defined in Data.Maybe.Singletons type Apply (Maybe_Sym0 :: TyFun b ((a ~> b) ~> (Maybe a ~> b)) -> Type) (a6989586621679537122 :: b) = Maybe_Sym1 a6989586621679537122 :: TyFun (a ~> b) (Maybe a ~> b) -> Type

data Maybe_Sym1 (a6989586621679537122 :: b) :: (~>) ((~>) a b) ((~>) (Maybe a) b) Source #

Instances

Instances details

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 a6989586621679537122 :: TyFun (a ~> b) (Maybe a ~> b) -> Type) Source #
Instance details Defined in Data.Maybe.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Maybe_Sym1 a6989586621679537122 :: TyFun (a ~> b) (Maybe a ~> b) -> Type) (a6989586621679537123 :: a ~> b) Source #
Instance details Defined in Data.Maybe.Singletons type Apply (Maybe_Sym1 a6989586621679537122 :: TyFun (a ~> b) (Maybe a ~> b) -> Type) (a6989586621679537123 :: a ~> b) = Maybe_Sym2 a6989586621679537122 a6989586621679537123

data Maybe_Sym2 (a6989586621679537122 :: b) (a6989586621679537123 :: (~>) a b) :: (~>) (Maybe a) b Source #

Instances

Instances details

(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 a6989586621679537122 a6989586621679537123 :: TyFun (Maybe a) b -> Type) Source #
Instance details Defined in Data.Maybe.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Maybe_Sym2 a6989586621679537122 a6989586621679537123 :: TyFun (Maybe a) b -> Type) (a6989586621679537124 :: Maybe a) Source #
Instance details Defined in Data.Maybe.Singletons type Apply (Maybe_Sym2 a6989586621679537122 a6989586621679537123 :: TyFun (Maybe a) b -> Type) (a6989586621679537124 :: Maybe a) = Maybe_ a6989586621679537122 a6989586621679537123 a6989586621679537124

type family Maybe_Sym3 (a6989586621679537122 :: b) (a6989586621679537123 :: (~>) a b) (a6989586621679537124 :: Maybe a) :: b where ... Source #

Equations

Maybe_Sym3 a6989586621679537122 a6989586621679537123 a6989586621679537124 = Maybe_ a6989586621679537122 a6989586621679537123 a6989586621679537124

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) (a6989586621679041872 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (LeftSym0 :: TyFun a (Either a b) -> Type) (a6989586621679041872 :: a) = 'Left a6989586621679041872 :: Either a b

type family LeftSym1 (a6989586621679041872 :: a) :: Either (a :: Type) (b :: Type) where ... Source #

Equations

LeftSym1 a6989586621679041872 = 'Left a6989586621679041872

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) (a6989586621679041874 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (RightSym0 :: TyFun b (Either a b) -> Type) (a6989586621679041874 :: b) = 'Right a6989586621679041874 :: Either a b

type family RightSym1 (a6989586621679041874 :: b) :: Either (a :: Type) (b :: Type) where ... Source #

Equations

RightSym1 a6989586621679041874 = 'Right a6989586621679041874

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) (a6989586621679305268 :: a ~> c) Source #
Instance details Defined in Data.Either.Singletons type Apply (Either_Sym0 :: TyFun (a ~> c) ((b ~> c) ~> (Either a b ~> c)) -> Type) (a6989586621679305268 :: a ~> c) = Either_Sym1 a6989586621679305268 :: TyFun (b ~> c) (Either a b ~> c) -> Type

data Either_Sym1 (a6989586621679305268 :: (~>) a c) :: (~>) ((~>) b c) ((~>) (Either a b) c) Source #

Instances

Instances details

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 a6989586621679305268 :: TyFun (b ~> c) (Either a b ~> c) -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Either_Sym1 a6989586621679305268 :: TyFun (b ~> c) (Either a b ~> c) -> Type) (a6989586621679305269 :: b ~> c) Source #
Instance details Defined in Data.Either.Singletons type Apply (Either_Sym1 a6989586621679305268 :: TyFun (b ~> c) (Either a b ~> c) -> Type) (a6989586621679305269 :: b ~> c) = Either_Sym2 a6989586621679305268 a6989586621679305269

data Either_Sym2 (a6989586621679305268 :: (~>) a c) (a6989586621679305269 :: (~>) b c) :: (~>) (Either a b) c Source #

Instances

Instances details

(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 a6989586621679305268 a6989586621679305269 :: TyFun (Either a b) c -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Either_Sym2 a6989586621679305268 a6989586621679305269 :: TyFun (Either a b) c -> Type) (a6989586621679305270 :: Either a b) Source #
Instance details Defined in Data.Either.Singletons type Apply (Either_Sym2 a6989586621679305268 a6989586621679305269 :: TyFun (Either a b) c -> Type) (a6989586621679305270 :: Either a b) = Either_ a6989586621679305268 a6989586621679305269 a6989586621679305270

type family Either_Sym3 (a6989586621679305268 :: (~>) a c) (a6989586621679305269 :: (~>) b c) (a6989586621679305270 :: Either a b) :: c where ... Source #

Equations

Either_Sym3 a6989586621679305268 a6989586621679305269 a6989586621679305270 = Either_ a6989586621679305268 a6989586621679305269 a6989586621679305270

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) (a6989586621679041825 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply ((:@#@$) :: TyFun a ([a] ~> [a]) -> Type) (a6989586621679041825 :: a) = (:@#@$$) a6989586621679041825

data (:@#@$$) (a6989586621679041825 :: a) :: (~>) [a] [a :: Type] infixr 5 Source #

Instances

Instances details

SingI d => SingI ((:@#@$$) d :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing ((:@#@$$) d) #
SuppressUnusedWarnings ((:@#@$$) a6989586621679041825 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply ((:@#@$$) a6989586621679041825 :: TyFun [a] [a] -> Type) (a6989586621679041826 :: [a]) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply ((:@#@$$) a6989586621679041825 :: TyFun [a] [a] -> Type) (a6989586621679041826 :: [a]) = a6989586621679041825 ': a6989586621679041826

type family (a6989586621679041825 :: a) :@#@$$$ (a6989586621679041826 :: [a]) :: [a :: Type] where ... infixr 5 Source #

Equations

a6989586621679041825 :@#@$$$ a6989586621679041826 = '(:) a6989586621679041825 a6989586621679041826

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) (a6989586621679042302 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple2Sym0 :: TyFun a (b ~> (a, b)) -> Type) (a6989586621679042302 :: a) = Tuple2Sym1 a6989586621679042302 :: TyFun b (a, b) -> Type

data Tuple2Sym1 (a6989586621679042302 :: a) :: (~>) b (a :: Type, b :: Type) Source #

Instances

Instances details

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 a6989586621679042302 :: TyFun b (a, b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple2Sym1 a6989586621679042302 :: TyFun k2 (k1, k2) -> Type) (a6989586621679042303 :: k2) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple2Sym1 a6989586621679042302 :: TyFun k2 (k1, k2) -> Type) (a6989586621679042303 :: k2) = '(a6989586621679042302, a6989586621679042303)

type family Tuple2Sym2 (a6989586621679042302 :: a) (a6989586621679042303 :: b) :: (a :: Type, b :: Type) where ... Source #

Equations

Tuple2Sym2 a6989586621679042302 a6989586621679042303 = '(a6989586621679042302, a6989586621679042303)

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) (a6989586621679042332 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple3Sym0 :: TyFun a (b ~> (c ~> (a, b, c))) -> Type) (a6989586621679042332 :: a) = Tuple3Sym1 a6989586621679042332 :: TyFun b (c ~> (a, b, c)) -> Type

data Tuple3Sym1 (a6989586621679042332 :: a) :: (~>) b ((~>) c (a :: Type, b :: Type, c :: Type)) Source #

Instances

Instances details

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 a6989586621679042332 :: TyFun b (c ~> (a, b, c)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple3Sym1 a6989586621679042332 :: TyFun b (c ~> (a, b, c)) -> Type) (a6989586621679042333 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple3Sym1 a6989586621679042332 :: TyFun b (c ~> (a, b, c)) -> Type) (a6989586621679042333 :: b) = Tuple3Sym2 a6989586621679042332 a6989586621679042333 :: TyFun c (a, b, c) -> Type

data Tuple3Sym2 (a6989586621679042332 :: a) (a6989586621679042333 :: b) :: (~>) c (a :: Type, b :: Type, c :: Type) Source #

Instances

Instances details

(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 a6989586621679042332 a6989586621679042333 :: TyFun c (a, b, c) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple3Sym2 a6989586621679042332 a6989586621679042333 :: TyFun k3 (k1, k2, k3) -> Type) (a6989586621679042334 :: k3) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple3Sym2 a6989586621679042332 a6989586621679042333 :: TyFun k3 (k1, k2, k3) -> Type) (a6989586621679042334 :: k3) = '(a6989586621679042332, a6989586621679042333, a6989586621679042334)

type family Tuple3Sym3 (a6989586621679042332 :: a) (a6989586621679042333 :: b) (a6989586621679042334 :: c) :: (a :: Type, b :: Type, c :: Type) where ... Source #

Equations

Tuple3Sym3 a6989586621679042332 a6989586621679042333 a6989586621679042334 = '(a6989586621679042332, a6989586621679042333, a6989586621679042334)

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) (a6989586621679042377 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple4Sym0 :: TyFun a (b ~> (c ~> (d ~> (a, b, c, d)))) -> Type) (a6989586621679042377 :: a) = Tuple4Sym1 a6989586621679042377 :: TyFun b (c ~> (d ~> (a, b, c, d))) -> Type

data Tuple4Sym1 (a6989586621679042377 :: a) :: (~>) b ((~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type))) Source #

Instances

Instances details

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 a6989586621679042377 :: TyFun b (c ~> (d ~> (a, b, c, d))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple4Sym1 a6989586621679042377 :: TyFun b (c ~> (d ~> (a, b, c, d))) -> Type) (a6989586621679042378 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple4Sym1 a6989586621679042377 :: TyFun b (c ~> (d ~> (a, b, c, d))) -> Type) (a6989586621679042378 :: b) = Tuple4Sym2 a6989586621679042377 a6989586621679042378 :: TyFun c (d ~> (a, b, c, d)) -> Type

data Tuple4Sym2 (a6989586621679042377 :: a) (a6989586621679042378 :: b) :: (~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type)) Source #

Instances

Instances details

(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 a6989586621679042377 a6989586621679042378 :: TyFun c (d ~> (a, b, c, d)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple4Sym2 a6989586621679042377 a6989586621679042378 :: TyFun c (d ~> (a, b, c, d)) -> Type) (a6989586621679042379 :: c) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple4Sym2 a6989586621679042377 a6989586621679042378 :: TyFun c (d ~> (a, b, c, d)) -> Type) (a6989586621679042379 :: c) = Tuple4Sym3 a6989586621679042377 a6989586621679042378 a6989586621679042379 :: TyFun d (a, b, c, d) -> Type

data Tuple4Sym3 (a6989586621679042377 :: a) (a6989586621679042378 :: b) (a6989586621679042379 :: c) :: (~>) d (a :: Type, b :: Type, c :: Type, d :: Type) Source #

Instances

Instances details

(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 a6989586621679042377 a6989586621679042378 a6989586621679042379 :: TyFun d (a, b, c, d) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple4Sym3 a6989586621679042377 a6989586621679042378 a6989586621679042379 :: TyFun k4 (k1, k2, k3, k4) -> Type) (a6989586621679042380 :: k4) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple4Sym3 a6989586621679042377 a6989586621679042378 a6989586621679042379 :: TyFun k4 (k1, k2, k3, k4) -> Type) (a6989586621679042380 :: k4) = '(a6989586621679042377, a6989586621679042378, a6989586621679042379, a6989586621679042380)

type family Tuple4Sym4 (a6989586621679042377 :: a) (a6989586621679042378 :: b) (a6989586621679042379 :: c) (a6989586621679042380 :: d) :: (a :: Type, b :: Type, c :: Type, d :: Type) where ... Source #

Equations

Tuple4Sym4 a6989586621679042377 a6989586621679042378 a6989586621679042379 a6989586621679042380 = '(a6989586621679042377, a6989586621679042378, a6989586621679042379, a6989586621679042380)

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) (a6989586621679042439 :: 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) (a6989586621679042439 :: a) = Tuple5Sym1 a6989586621679042439 :: TyFun b (c ~> (d ~> (e ~> (a, b, c, d, e)))) -> Type

data Tuple5Sym1 (a6989586621679042439 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type)))) Source #

Instances

Instances details

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 a6989586621679042439 :: 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 a6989586621679042439 :: TyFun b (c ~> (d ~> (e ~> (a, b, c, d, e)))) -> Type) (a6989586621679042440 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple5Sym1 a6989586621679042439 :: TyFun b (c ~> (d ~> (e ~> (a, b, c, d, e)))) -> Type) (a6989586621679042440 :: b) = Tuple5Sym2 a6989586621679042439 a6989586621679042440 :: TyFun c (d ~> (e ~> (a, b, c, d, e))) -> Type

data Tuple5Sym2 (a6989586621679042439 :: a) (a6989586621679042440 :: b) :: (~>) c ((~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type))) Source #

Instances

Instances details

(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 a6989586621679042439 a6989586621679042440 :: TyFun c (d ~> (e ~> (a, b, c, d, e))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple5Sym2 a6989586621679042439 a6989586621679042440 :: TyFun c (d ~> (e ~> (a, b, c, d, e))) -> Type) (a6989586621679042441 :: c) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple5Sym2 a6989586621679042439 a6989586621679042440 :: TyFun c (d ~> (e ~> (a, b, c, d, e))) -> Type) (a6989586621679042441 :: c) = Tuple5Sym3 a6989586621679042439 a6989586621679042440 a6989586621679042441 :: TyFun d (e ~> (a, b, c, d, e)) -> Type

data Tuple5Sym3 (a6989586621679042439 :: a) (a6989586621679042440 :: b) (a6989586621679042441 :: c) :: (~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type)) Source #

Instances

Instances details

(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 a6989586621679042439 a6989586621679042440 a6989586621679042441 :: TyFun d (e ~> (a, b, c, d, e)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple5Sym3 a6989586621679042439 a6989586621679042440 a6989586621679042441 :: TyFun d (e ~> (a, b, c, d, e)) -> Type) (a6989586621679042442 :: d) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple5Sym3 a6989586621679042439 a6989586621679042440 a6989586621679042441 :: TyFun d (e ~> (a, b, c, d, e)) -> Type) (a6989586621679042442 :: d) = Tuple5Sym4 a6989586621679042439 a6989586621679042440 a6989586621679042441 a6989586621679042442 :: TyFun e (a, b, c, d, e) -> Type

data Tuple5Sym4 (a6989586621679042439 :: a) (a6989586621679042440 :: b) (a6989586621679042441 :: c) (a6989586621679042442 :: d) :: (~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type) Source #

Instances

Instances details

(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 a6989586621679042439 a6989586621679042440 a6989586621679042441 a6989586621679042442 :: TyFun e (a, b, c, d, e) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple5Sym4 a6989586621679042439 a6989586621679042440 a6989586621679042441 a6989586621679042442 :: TyFun k5 (k1, k2, k3, k4, k5) -> Type) (a6989586621679042443 :: k5) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple5Sym4 a6989586621679042439 a6989586621679042440 a6989586621679042441 a6989586621679042442 :: TyFun k5 (k1, k2, k3, k4, k5) -> Type) (a6989586621679042443 :: k5) = '(a6989586621679042439, a6989586621679042440, a6989586621679042441, a6989586621679042442, a6989586621679042443)

type family Tuple5Sym5 (a6989586621679042439 :: a) (a6989586621679042440 :: b) (a6989586621679042441 :: c) (a6989586621679042442 :: d) (a6989586621679042443 :: e) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type) where ... Source #

Equations

Tuple5Sym5 a6989586621679042439 a6989586621679042440 a6989586621679042441 a6989586621679042442 a6989586621679042443 = '(a6989586621679042439, a6989586621679042440, a6989586621679042441, a6989586621679042442, a6989586621679042443)

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) (a6989586621679042520 :: 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) (a6989586621679042520 :: a) = Tuple6Sym1 a6989586621679042520 :: TyFun b (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f))))) -> Type

data Tuple6Sym1 (a6989586621679042520 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))))) Source #

Instances

Instances details

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 a6989586621679042520 :: 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 a6989586621679042520 :: TyFun b (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f))))) -> Type) (a6989586621679042521 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym1 a6989586621679042520 :: TyFun b (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f))))) -> Type) (a6989586621679042521 :: b) = Tuple6Sym2 a6989586621679042520 a6989586621679042521 :: TyFun c (d ~> (e ~> (f ~> (a, b, c, d, e, f)))) -> Type

data Tuple6Sym2 (a6989586621679042520 :: a) (a6989586621679042521 :: b) :: (~>) c ((~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)))) Source #

Instances

Instances details

(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 a6989586621679042520 a6989586621679042521 :: 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 a6989586621679042520 a6989586621679042521 :: TyFun c (d ~> (e ~> (f ~> (a, b, c, d, e, f)))) -> Type) (a6989586621679042522 :: c) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym2 a6989586621679042520 a6989586621679042521 :: TyFun c (d ~> (e ~> (f ~> (a, b, c, d, e, f)))) -> Type) (a6989586621679042522 :: c) = Tuple6Sym3 a6989586621679042520 a6989586621679042521 a6989586621679042522 :: TyFun d (e ~> (f ~> (a, b, c, d, e, f))) -> Type

data Tuple6Sym3 (a6989586621679042520 :: a) (a6989586621679042521 :: b) (a6989586621679042522 :: c) :: (~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))) Source #

Instances

Instances details

(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 a6989586621679042520 a6989586621679042521 a6989586621679042522 :: 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 a6989586621679042520 a6989586621679042521 a6989586621679042522 :: TyFun d (e ~> (f ~> (a, b, c, d, e, f))) -> Type) (a6989586621679042523 :: d) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym3 a6989586621679042520 a6989586621679042521 a6989586621679042522 :: TyFun d (e ~> (f ~> (a, b, c, d, e, f))) -> Type) (a6989586621679042523 :: d) = Tuple6Sym4 a6989586621679042520 a6989586621679042521 a6989586621679042522 a6989586621679042523 :: TyFun e (f ~> (a, b, c, d, e, f)) -> Type

data Tuple6Sym4 (a6989586621679042520 :: a) (a6989586621679042521 :: b) (a6989586621679042522 :: c) (a6989586621679042523 :: d) :: (~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)) Source #

Instances

Instances details

(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 a6989586621679042520 a6989586621679042521 a6989586621679042522 a6989586621679042523 :: TyFun e (f ~> (a, b, c, d, e, f)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple6Sym4 a6989586621679042520 a6989586621679042521 a6989586621679042522 a6989586621679042523 :: TyFun e (f ~> (a, b, c, d, e, f)) -> Type) (a6989586621679042524 :: e) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym4 a6989586621679042520 a6989586621679042521 a6989586621679042522 a6989586621679042523 :: TyFun e (f ~> (a, b, c, d, e, f)) -> Type) (a6989586621679042524 :: e) = Tuple6Sym5 a6989586621679042520 a6989586621679042521 a6989586621679042522 a6989586621679042523 a6989586621679042524 :: TyFun f (a, b, c, d, e, f) -> Type

data Tuple6Sym5 (a6989586621679042520 :: a) (a6989586621679042521 :: b) (a6989586621679042522 :: c) (a6989586621679042523 :: d) (a6989586621679042524 :: e) :: (~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type) Source #

Instances

Instances details

(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 a6989586621679042520 a6989586621679042521 a6989586621679042522 a6989586621679042523 a6989586621679042524 :: TyFun f (a, b, c, d, e, f) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple6Sym5 a6989586621679042520 a6989586621679042521 a6989586621679042522 a6989586621679042523 a6989586621679042524 :: TyFun k6 (k1, k2, k3, k4, k5, k6) -> Type) (a6989586621679042525 :: k6) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym5 a6989586621679042520 a6989586621679042521 a6989586621679042522 a6989586621679042523 a6989586621679042524 :: TyFun k6 (k1, k2, k3, k4, k5, k6) -> Type) (a6989586621679042525 :: k6) = '(a6989586621679042520, a6989586621679042521, a6989586621679042522, a6989586621679042523, a6989586621679042524, a6989586621679042525)

type family Tuple6Sym6 (a6989586621679042520 :: a) (a6989586621679042521 :: b) (a6989586621679042522 :: c) (a6989586621679042523 :: d) (a6989586621679042524 :: e) (a6989586621679042525 :: f) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type) where ... Source #

Equations

Tuple6Sym6 a6989586621679042520 a6989586621679042521 a6989586621679042522 a6989586621679042523 a6989586621679042524 a6989586621679042525 = '(a6989586621679042520, a6989586621679042521, a6989586621679042522, a6989586621679042523, a6989586621679042524, a6989586621679042525)

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) (a6989586621679042622 :: 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) (a6989586621679042622 :: a) = Tuple7Sym1 a6989586621679042622 :: TyFun b (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))))) -> Type

data Tuple7Sym1 (a6989586621679042622 :: 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 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 a6989586621679042622 :: 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 a6989586621679042622 :: TyFun b (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))))) -> Type) (a6989586621679042623 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym1 a6989586621679042622 :: TyFun b (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))))) -> Type) (a6989586621679042623 :: b) = Tuple7Sym2 a6989586621679042622 a6989586621679042623 :: TyFun c (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))) -> Type

data Tuple7Sym2 (a6989586621679042622 :: a) (a6989586621679042623 :: 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 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 a6989586621679042622 a6989586621679042623 :: 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 a6989586621679042622 a6989586621679042623 :: TyFun c (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))) -> Type) (a6989586621679042624 :: c) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym2 a6989586621679042622 a6989586621679042623 :: TyFun c (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))) -> Type) (a6989586621679042624 :: c) = Tuple7Sym3 a6989586621679042622 a6989586621679042623 a6989586621679042624 :: TyFun d (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))) -> Type

data Tuple7Sym3 (a6989586621679042622 :: a) (a6989586621679042623 :: b) (a6989586621679042624 :: 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, 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 a6989586621679042622 a6989586621679042623 a6989586621679042624 :: 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 a6989586621679042622 a6989586621679042623 a6989586621679042624 :: TyFun d (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))) -> Type) (a6989586621679042625 :: d) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym3 a6989586621679042622 a6989586621679042623 a6989586621679042624 :: TyFun d (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))) -> Type) (a6989586621679042625 :: d) = Tuple7Sym4 a6989586621679042622 a6989586621679042623 a6989586621679042624 a6989586621679042625 :: TyFun e (f ~> (g ~> (a, b, c, d, e, f, g))) -> Type

data Tuple7Sym4 (a6989586621679042622 :: a) (a6989586621679042623 :: b) (a6989586621679042624 :: c) (a6989586621679042625 :: 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, 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 a6989586621679042622 a6989586621679042623 a6989586621679042624 a6989586621679042625 :: 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 a6989586621679042622 a6989586621679042623 a6989586621679042624 a6989586621679042625 :: TyFun e (f ~> (g ~> (a, b, c, d, e, f, g))) -> Type) (a6989586621679042626 :: e) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym4 a6989586621679042622 a6989586621679042623 a6989586621679042624 a6989586621679042625 :: TyFun e (f ~> (g ~> (a, b, c, d, e, f, g))) -> Type) (a6989586621679042626 :: e) = Tuple7Sym5 a6989586621679042622 a6989586621679042623 a6989586621679042624 a6989586621679042625 a6989586621679042626 :: TyFun f (g ~> (a, b, c, d, e, f, g)) -> Type

data Tuple7Sym5 (a6989586621679042622 :: a) (a6989586621679042623 :: b) (a6989586621679042624 :: c) (a6989586621679042625 :: d) (a6989586621679042626 :: 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, 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 a6989586621679042622 a6989586621679042623 a6989586621679042624 a6989586621679042625 a6989586621679042626 :: 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 a6989586621679042622 a6989586621679042623 a6989586621679042624 a6989586621679042625 a6989586621679042626 :: TyFun f (g ~> (a, b, c, d, e, f, g)) -> Type) (a6989586621679042627 :: f) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym5 a6989586621679042622 a6989586621679042623 a6989586621679042624 a6989586621679042625 a6989586621679042626 :: TyFun f (g ~> (a, b, c, d, e, f, g)) -> Type) (a6989586621679042627 :: f) = Tuple7Sym6 a6989586621679042622 a6989586621679042623 a6989586621679042624 a6989586621679042625 a6989586621679042626 a6989586621679042627 :: TyFun g (a, b, c, d, e, f, g) -> Type

data Tuple7Sym6 (a6989586621679042622 :: a) (a6989586621679042623 :: b) (a6989586621679042624 :: c) (a6989586621679042625 :: d) (a6989586621679042626 :: e) (a6989586621679042627 :: 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, 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 a6989586621679042622 a6989586621679042623 a6989586621679042624 a6989586621679042625 a6989586621679042626 a6989586621679042627 :: TyFun g (a, b, c, d, e, f, g) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple7Sym6 a6989586621679042622 a6989586621679042623 a6989586621679042624 a6989586621679042625 a6989586621679042626 a6989586621679042627 :: TyFun k7 (k1, k2, k3, k4, k5, k6, k7) -> Type) (a6989586621679042628 :: k7) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym6 a6989586621679042622 a6989586621679042623 a6989586621679042624 a6989586621679042625 a6989586621679042626 a6989586621679042627 :: TyFun k7 (k1, k2, k3, k4, k5, k6, k7) -> Type) (a6989586621679042628 :: k7) = '(a6989586621679042622, a6989586621679042623, a6989586621679042624, a6989586621679042625, a6989586621679042626, a6989586621679042627, a6989586621679042628)

type family Tuple7Sym7 (a6989586621679042622 :: a) (a6989586621679042623 :: b) (a6989586621679042624 :: c) (a6989586621679042625 :: d) (a6989586621679042626 :: e) (a6989586621679042627 :: f) (a6989586621679042628 :: g) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type) where ... Source #

Equations

Tuple7Sym7 a6989586621679042622 a6989586621679042623 a6989586621679042624 a6989586621679042625 a6989586621679042626 a6989586621679042627 a6989586621679042628 = '(a6989586621679042622, a6989586621679042623, a6989586621679042624, a6989586621679042625, a6989586621679042626, a6989586621679042627, a6989586621679042628)

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) (a6989586621679266788 :: (a, b)) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (FstSym0 :: TyFun (a, b) a -> Type) (a6989586621679266788 :: (a, b)) = Fst a6989586621679266788

type family FstSym1 (a6989586621679266788 :: (a, b)) :: a where ... Source #

Equations

FstSym1 a6989586621679266788 = Fst a6989586621679266788

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) (a6989586621679266784 :: (a, b)) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (SndSym0 :: TyFun (a, b) b -> Type) (a6989586621679266784 :: (a, b)) = Snd a6989586621679266784

type family SndSym1 (a6989586621679266784 :: (a, b)) :: b where ... Source #

Equations

SndSym1 a6989586621679266784 = Snd a6989586621679266784

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) (a6989586621679266776 :: (a, b) ~> c) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (CurrySym0 :: TyFun ((a, b) ~> c) (a ~> (b ~> c)) -> Type) (a6989586621679266776 :: (a, b) ~> c) = CurrySym1 a6989586621679266776

data CurrySym1 (a6989586621679266776 :: (~>) (a, b) c) :: (~>) a ((~>) b c) Source #

Instances

Instances details

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 a6989586621679266776 :: TyFun a (b ~> c) -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (CurrySym1 a6989586621679266776 :: TyFun a (b ~> c) -> Type) (a6989586621679266777 :: a) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (CurrySym1 a6989586621679266776 :: TyFun a (b ~> c) -> Type) (a6989586621679266777 :: a) = CurrySym2 a6989586621679266776 a6989586621679266777

data CurrySym2 (a6989586621679266776 :: (~>) (a, b) c) (a6989586621679266777 :: a) :: (~>) b c Source #

Instances

Instances details

(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 a6989586621679266776 a6989586621679266777 :: TyFun b c -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (CurrySym2 a6989586621679266776 a6989586621679266777 :: TyFun b c -> Type) (a6989586621679266778 :: b) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (CurrySym2 a6989586621679266776 a6989586621679266777 :: TyFun b c -> Type) (a6989586621679266778 :: b) = Curry a6989586621679266776 a6989586621679266777 a6989586621679266778

type family CurrySym3 (a6989586621679266776 :: (~>) (a, b) c) (a6989586621679266777 :: a) (a6989586621679266778 :: b) :: c where ... Source #

Equations

CurrySym3 a6989586621679266776 a6989586621679266777 a6989586621679266778 = Curry a6989586621679266776 a6989586621679266777 a6989586621679266778

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) (a6989586621679266768 :: a ~> (b ~> c)) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (UncurrySym0 :: TyFun (a ~> (b ~> c)) ((a, b) ~> c) -> Type) (a6989586621679266768 :: a ~> (b ~> c)) = UncurrySym1 a6989586621679266768

data UncurrySym1 (a6989586621679266768 :: (~>) a ((~>) b c)) :: (~>) (a, b) c Source #

Instances

Instances details

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 a6989586621679266768 :: TyFun (a, b) c -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (UncurrySym1 a6989586621679266768 :: TyFun (a, b) c -> Type) (a6989586621679266769 :: (a, b)) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (UncurrySym1 a6989586621679266768 :: TyFun (a, b) c -> Type) (a6989586621679266769 :: (a, b)) = Uncurry a6989586621679266768 a6989586621679266769

type family UncurrySym2 (a6989586621679266768 :: (~>) a ((~>) b c)) (a6989586621679266769 :: (a, b)) :: c where ... Source #

Equations

UncurrySym2 a6989586621679266768 a6989586621679266769 = Uncurry a6989586621679266768 a6989586621679266769

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) (a6989586621679131004 :: a) Source #
Instance details Defined in Data.Eq.Singletons type Apply ((==@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679131004 :: a) = (==@#@$$) a6989586621679131004

data (==@#@$$) (a6989586621679131004 :: a) :: (~>) a Bool infix 4 Source #

Instances

Instances details

(SEq a, SingI d) => SingI ((==@#@$$) d :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Eq.Singletons Methods sing :: Sing ((==@#@$$) d) #
SuppressUnusedWarnings ((==@#@$$) a6989586621679131004 :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Eq.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((==@#@$$) a6989586621679131004 :: TyFun a Bool -> Type) (a6989586621679131005 :: a) Source #
Instance details Defined in Data.Eq.Singletons type Apply ((==@#@$$) a6989586621679131004 :: TyFun a Bool -> Type) (a6989586621679131005 :: a) = a6989586621679131004 == a6989586621679131005

type family (a6989586621679131004 :: a) ==@#@$$$ (a6989586621679131005 :: a) :: Bool where ... infix 4 Source #

Equations

a6989586621679131004 ==@#@$$$ a6989586621679131005 = (==) a6989586621679131004 a6989586621679131005

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) (a6989586621679131009 :: a) Source #
Instance details Defined in Data.Eq.Singletons type Apply ((/=@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679131009 :: a) = (/=@#@$$) a6989586621679131009

data (/=@#@$$) (a6989586621679131009 :: a) :: (~>) a Bool infix 4 Source #

Instances

Instances details

(SEq a, SingI d) => SingI ((/=@#@$$) d :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Eq.Singletons Methods sing :: Sing ((/=@#@$$) d) #
SuppressUnusedWarnings ((/=@#@$$) a6989586621679131009 :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Eq.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((/=@#@$$) a6989586621679131009 :: TyFun a Bool -> Type) (a6989586621679131010 :: a) Source #
Instance details Defined in Data.Eq.Singletons type Apply ((/=@#@$$) a6989586621679131009 :: TyFun a Bool -> Type) (a6989586621679131010 :: a) = a6989586621679131009 /= a6989586621679131010

type family (a6989586621679131009 :: a) /=@#@$$$ (a6989586621679131010 :: a) :: Bool where ... infix 4 Source #

Equations

a6989586621679131009 /=@#@$$$ a6989586621679131010 = (/=) a6989586621679131009 a6989586621679131010

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) (a6989586621679170735 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply (CompareSym0 :: TyFun a (a ~> Ordering) -> Type) (a6989586621679170735 :: a) = CompareSym1 a6989586621679170735

data CompareSym1 (a6989586621679170735 :: a) :: (~>) a Ordering Source #

Instances

Instances details

(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 a6989586621679170735 :: TyFun a Ordering -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply (CompareSym1 a6989586621679170735 :: TyFun a Ordering -> Type) (a6989586621679170736 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply (CompareSym1 a6989586621679170735 :: TyFun a Ordering -> Type) (a6989586621679170736 :: a) = Compare a6989586621679170735 a6989586621679170736

type family CompareSym2 (a6989586621679170735 :: a) (a6989586621679170736 :: a) :: Ordering where ... Source #

Equations

CompareSym2 a6989586621679170735 a6989586621679170736 = Compare a6989586621679170735 a6989586621679170736

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) (a6989586621679170740 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((<@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679170740 :: a) = (<@#@$$) a6989586621679170740

data (<@#@$$) (a6989586621679170740 :: a) :: (~>) a Bool infix 4 Source #

Instances

Instances details

(SOrd a, SingI d) => SingI ((<@#@$$) d :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods sing :: Sing ((<@#@$$) d) #
SuppressUnusedWarnings ((<@#@$$) a6989586621679170740 :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((<@#@$$) a6989586621679170740 :: TyFun a Bool -> Type) (a6989586621679170741 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((<@#@$$) a6989586621679170740 :: TyFun a Bool -> Type) (a6989586621679170741 :: a) = a6989586621679170740 < a6989586621679170741

type family (a6989586621679170740 :: a) <@#@$$$ (a6989586621679170741 :: a) :: Bool where ... infix 4 Source #

Equations

a6989586621679170740 <@#@$$$ a6989586621679170741 = (<) a6989586621679170740 a6989586621679170741

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) (a6989586621679170745 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((<=@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679170745 :: a) = (<=@#@$$) a6989586621679170745

data (<=@#@$$) (a6989586621679170745 :: a) :: (~>) a Bool infix 4 Source #

Instances

Instances details

(SOrd a, SingI d) => SingI ((<=@#@$$) d :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods sing :: Sing ((<=@#@$$) d) #
SuppressUnusedWarnings ((<=@#@$$) a6989586621679170745 :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((<=@#@$$) a6989586621679170745 :: TyFun a Bool -> Type) (a6989586621679170746 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((<=@#@$$) a6989586621679170745 :: TyFun a Bool -> Type) (a6989586621679170746 :: a) = a6989586621679170745 <= a6989586621679170746

type family (a6989586621679170745 :: a) <=@#@$$$ (a6989586621679170746 :: a) :: Bool where ... infix 4 Source #

Equations

a6989586621679170745 <=@#@$$$ a6989586621679170746 = (<=) a6989586621679170745 a6989586621679170746

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) (a6989586621679170750 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((>@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679170750 :: a) = (>@#@$$) a6989586621679170750

data (>@#@$$) (a6989586621679170750 :: a) :: (~>) a Bool infix 4 Source #

Instances

Instances details

(SOrd a, SingI d) => SingI ((>@#@$$) d :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods sing :: Sing ((>@#@$$) d) #
SuppressUnusedWarnings ((>@#@$$) a6989586621679170750 :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((>@#@$$) a6989586621679170750 :: TyFun a Bool -> Type) (a6989586621679170751 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((>@#@$$) a6989586621679170750 :: TyFun a Bool -> Type) (a6989586621679170751 :: a) = a6989586621679170750 > a6989586621679170751

type family (a6989586621679170750 :: a) >@#@$$$ (a6989586621679170751 :: a) :: Bool where ... infix 4 Source #

Equations

a6989586621679170750 >@#@$$$ a6989586621679170751 = (>) a6989586621679170750 a6989586621679170751

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) (a6989586621679170755 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((>=@#@$) :: TyFun a (a ~> Bool) -> Type) (a6989586621679170755 :: a) = (>=@#@$$) a6989586621679170755

data (>=@#@$$) (a6989586621679170755 :: a) :: (~>) a Bool infix 4 Source #

Instances

Instances details

(SOrd a, SingI d) => SingI ((>=@#@$$) d :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods sing :: Sing ((>=@#@$$) d) #
SuppressUnusedWarnings ((>=@#@$$) a6989586621679170755 :: TyFun a Bool -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((>=@#@$$) a6989586621679170755 :: TyFun a Bool -> Type) (a6989586621679170756 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply ((>=@#@$$) a6989586621679170755 :: TyFun a Bool -> Type) (a6989586621679170756 :: a) = a6989586621679170755 >= a6989586621679170756

type family (a6989586621679170755 :: a) >=@#@$$$ (a6989586621679170756 :: a) :: Bool where ... infix 4 Source #

Equations

a6989586621679170755 >=@#@$$$ a6989586621679170756 = (>=) a6989586621679170755 a6989586621679170756

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) (a6989586621679170760 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply (MaxSym0 :: TyFun a (a ~> a) -> Type) (a6989586621679170760 :: a) = MaxSym1 a6989586621679170760

data MaxSym1 (a6989586621679170760 :: a) :: (~>) a a Source #

Instances

Instances details

(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 a6989586621679170760 :: TyFun a a -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MaxSym1 a6989586621679170760 :: TyFun a a -> Type) (a6989586621679170761 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply (MaxSym1 a6989586621679170760 :: TyFun a a -> Type) (a6989586621679170761 :: a) = Max a6989586621679170760 a6989586621679170761

type family MaxSym2 (a6989586621679170760 :: a) (a6989586621679170761 :: a) :: a where ... Source #

Equations

MaxSym2 a6989586621679170760 a6989586621679170761 = Max a6989586621679170760 a6989586621679170761

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) (a6989586621679170765 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply (MinSym0 :: TyFun a (a ~> a) -> Type) (a6989586621679170765 :: a) = MinSym1 a6989586621679170765

data MinSym1 (a6989586621679170765 :: a) :: (~>) a a Source #

Instances

Instances details

(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 a6989586621679170765 :: TyFun a a -> Type) Source #
Instance details Defined in Data.Ord.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MinSym1 a6989586621679170765 :: TyFun a a -> Type) (a6989586621679170766 :: a) Source #
Instance details Defined in Data.Ord.Singletons type Apply (MinSym1 a6989586621679170765 :: TyFun a a -> Type) (a6989586621679170766 :: a) = Min a6989586621679170765 a6989586621679170766

type family MinSym2 (a6989586621679170765 :: a) (a6989586621679170766 :: a) :: a where ... Source #

Equations

MinSym2 a6989586621679170765 a6989586621679170766 = Min a6989586621679170765 a6989586621679170766

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

Instances

Instances details

SEnum a => SingI (ToEnumSym0 :: TyFun Nat a -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sing :: Sing ToEnumSym0 #
SuppressUnusedWarnings (ToEnumSym0 :: TyFun Nat a -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods suppressUnusedWarnings :: () #
type Apply (ToEnumSym0 :: TyFun Nat k2 -> Type) (a6989586621679573385 :: Nat) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (ToEnumSym0 :: TyFun Nat k2 -> Type) (a6989586621679573385 :: Nat) = ToEnum a6989586621679573385 :: k2

type family ToEnumSym1 (a6989586621679573385 :: Nat) :: a where ... Source #

Equations

ToEnumSym1 a6989586621679573385 = ToEnum a6989586621679573385

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

Instances

Instances details

SEnum a => SingI (FromEnumSym0 :: TyFun a Nat -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods sing :: Sing FromEnumSym0 #
SuppressUnusedWarnings (FromEnumSym0 :: TyFun a Nat -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods suppressUnusedWarnings :: () #
type Apply (FromEnumSym0 :: TyFun a Nat -> Type) (a6989586621679573388 :: a) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (FromEnumSym0 :: TyFun a Nat -> Type) (a6989586621679573388 :: a) = FromEnum a6989586621679573388

type family FromEnumSym1 (a6989586621679573388 :: a) :: Nat where ... Source #

Equations

FromEnumSym1 a6989586621679573388 = FromEnum a6989586621679573388

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) (a6989586621679573392 :: a) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (EnumFromToSym0 :: TyFun a (a ~> [a]) -> Type) (a6989586621679573392 :: a) = EnumFromToSym1 a6989586621679573392

data EnumFromToSym1 (a6989586621679573392 :: a) :: (~>) a [a] Source #

Instances

Instances details

(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 a6989586621679573392 :: TyFun a [a] -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods suppressUnusedWarnings :: () #
type Apply (EnumFromToSym1 a6989586621679573392 :: TyFun a [a] -> Type) (a6989586621679573393 :: a) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (EnumFromToSym1 a6989586621679573392 :: TyFun a [a] -> Type) (a6989586621679573393 :: a) = EnumFromTo a6989586621679573392 a6989586621679573393

type family EnumFromToSym2 (a6989586621679573392 :: a) (a6989586621679573393 :: a) :: [a] where ... Source #

Equations

EnumFromToSym2 a6989586621679573392 a6989586621679573393 = EnumFromTo a6989586621679573392 a6989586621679573393

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) (a6989586621679573398 :: a) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (EnumFromThenToSym0 :: TyFun a (a ~> (a ~> [a])) -> Type) (a6989586621679573398 :: a) = EnumFromThenToSym1 a6989586621679573398

data EnumFromThenToSym1 (a6989586621679573398 :: a) :: (~>) a ((~>) a [a]) Source #

Instances

Instances details

(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 a6989586621679573398 :: TyFun a (a ~> [a]) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods suppressUnusedWarnings :: () #
type Apply (EnumFromThenToSym1 a6989586621679573398 :: TyFun a (a ~> [a]) -> Type) (a6989586621679573399 :: a) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (EnumFromThenToSym1 a6989586621679573398 :: TyFun a (a ~> [a]) -> Type) (a6989586621679573399 :: a) = EnumFromThenToSym2 a6989586621679573398 a6989586621679573399

data EnumFromThenToSym2 (a6989586621679573398 :: a) (a6989586621679573399 :: a) :: (~>) a [a] Source #

Instances

Instances details

(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 a6989586621679573398 a6989586621679573399 :: TyFun a [a] -> Type) Source #
Instance details Defined in Data.Singletons.Base.Enum Methods suppressUnusedWarnings :: () #
type Apply (EnumFromThenToSym2 a6989586621679573398 a6989586621679573399 :: TyFun a [a] -> Type) (a6989586621679573400 :: a) Source #
Instance details Defined in Data.Singletons.Base.Enum type Apply (EnumFromThenToSym2 a6989586621679573398 a6989586621679573399 :: TyFun a [a] -> Type) (a6989586621679573400 :: a) = EnumFromThenTo a6989586621679573398 a6989586621679573399 a6989586621679573400

type family EnumFromThenToSym3 (a6989586621679573398 :: a) (a6989586621679573399 :: a) (a6989586621679573400 :: a) :: [a] where ... Source #

Equations

EnumFromThenToSym3 a6989586621679573398 a6989586621679573399 a6989586621679573400 = EnumFromThenTo a6989586621679573398 a6989586621679573399 a6989586621679573400

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) (a6989586621679550129 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply ((+@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679550129 :: a) = (+@#@$$) a6989586621679550129

data (+@#@$$) (a6989586621679550129 :: a) :: (~>) a a infixl 6 Source #

Instances

Instances details

(SNum a, SingI d) => SingI ((+@#@$$) d :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods sing :: Sing ((+@#@$$) d) #
SuppressUnusedWarnings ((+@#@$$) a6989586621679550129 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((+@#@$$) a6989586621679550129 :: TyFun a a -> Type) (a6989586621679550130 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply ((+@#@$$) a6989586621679550129 :: TyFun a a -> Type) (a6989586621679550130 :: a) = a6989586621679550129 + a6989586621679550130

type family (a6989586621679550129 :: a) +@#@$$$ (a6989586621679550130 :: a) :: a where ... infixl 6 Source #

Equations

a6989586621679550129 +@#@$$$ a6989586621679550130 = (+) a6989586621679550129 a6989586621679550130

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) (a6989586621679550134 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply ((-@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679550134 :: a) = (-@#@$$) a6989586621679550134

data (-@#@$$) (a6989586621679550134 :: a) :: (~>) a a infixl 6 Source #

Instances

Instances details

(SNum a, SingI d) => SingI ((-@#@$$) d :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods sing :: Sing ((-@#@$$) d) #
SuppressUnusedWarnings ((-@#@$$) a6989586621679550134 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((-@#@$$) a6989586621679550134 :: TyFun a a -> Type) (a6989586621679550135 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply ((-@#@$$) a6989586621679550134 :: TyFun a a -> Type) (a6989586621679550135 :: a) = a6989586621679550134 - a6989586621679550135

type family (a6989586621679550134 :: a) -@#@$$$ (a6989586621679550135 :: a) :: a where ... infixl 6 Source #

Equations

a6989586621679550134 -@#@$$$ a6989586621679550135 = (-) a6989586621679550134 a6989586621679550135

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) (a6989586621679550139 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply ((@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679550139 :: a) = (@#@$$) a6989586621679550139

data (*@#@$$) (a6989586621679550139 :: a) :: (~>) a a infixl 7 Source #

Instances

Instances details

(SNum a, SingI d) => SingI ((*@#@$$) d :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods sing :: Sing ((*@#@$$) d) #
SuppressUnusedWarnings ((*@#@$$) a6989586621679550139 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((*@#@$$) a6989586621679550139 :: TyFun a a -> Type) (a6989586621679550140 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply ((@#@$$) a6989586621679550139 :: TyFun a a -> Type) (a6989586621679550140 :: a) = a6989586621679550139 a6989586621679550140

type family (a6989586621679550139 :: a) *@#@$$$ (a6989586621679550140 :: a) :: a where ... infixl 7 Source #

Equations

a6989586621679550139 *@#@$$$ a6989586621679550140 = * a6989586621679550139 a6989586621679550140

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) (a6989586621679550143 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply (NegateSym0 :: TyFun a a -> Type) (a6989586621679550143 :: a) = Negate a6989586621679550143

type family NegateSym1 (a6989586621679550143 :: a) :: a where ... Source #

Equations

NegateSym1 a6989586621679550143 = Negate a6989586621679550143

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) (a6989586621679550146 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply (AbsSym0 :: TyFun a a -> Type) (a6989586621679550146 :: a) = Abs a6989586621679550146

type family AbsSym1 (a6989586621679550146 :: a) :: a where ... Source #

Equations

AbsSym1 a6989586621679550146 = Abs a6989586621679550146

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) (a6989586621679550149 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply (SignumSym0 :: TyFun a a -> Type) (a6989586621679550149 :: a) = Signum a6989586621679550149

type family SignumSym1 (a6989586621679550149 :: a) :: a where ... Source #

Equations

SignumSym1 a6989586621679550149 = Signum a6989586621679550149

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

Instances

Instances details

SNum a => SingI (FromIntegerSym0 :: TyFun Nat a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods sing :: Sing FromIntegerSym0 #
SuppressUnusedWarnings (FromIntegerSym0 :: TyFun Nat a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FromIntegerSym0 :: TyFun Nat k2 -> Type) (a6989586621679550152 :: Nat) Source #
Instance details Defined in GHC.Num.Singletons type Apply (FromIntegerSym0 :: TyFun Nat k2 -> Type) (a6989586621679550152 :: Nat) = FromInteger a6989586621679550152 :: k2

type family FromIntegerSym1 (a6989586621679550152 :: Nat) :: a where ... Source #

Equations

FromIntegerSym1 a6989586621679550152 = FromInteger a6989586621679550152

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) (a6989586621679550122 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply (SubtractSym0 :: TyFun a (a ~> a) -> Type) (a6989586621679550122 :: a) = SubtractSym1 a6989586621679550122

data SubtractSym1 (a6989586621679550122 :: a) :: (~>) a a Source #

Instances

Instances details

(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 a6989586621679550122 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Num.Singletons Methods suppressUnusedWarnings :: () #
type Apply (SubtractSym1 a6989586621679550122 :: TyFun a a -> Type) (a6989586621679550123 :: a) Source #
Instance details Defined in GHC.Num.Singletons type Apply (SubtractSym1 a6989586621679550122 :: TyFun a a -> Type) (a6989586621679550123 :: a) = Subtract a6989586621679550122 a6989586621679550123

type family SubtractSym2 (a6989586621679550122 :: a) (a6989586621679550123 :: a) :: a where ... Source #

Equations

SubtractSym2 a6989586621679550122 a6989586621679550123 = Subtract a6989586621679550122 a6989586621679550123

Semigroups and Monoids

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

Instances

Instances details

SSemigroup a => SingI ((<>@#@$) :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sing :: Sing (<>@#@$) #
SuppressUnusedWarnings ((<>@#@$) :: TyFun a (a ~> a) -> Type) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((<>@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679653661 :: a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Apply ((<>@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679653661 :: a) = (<>@#@$$) a6989586621679653661

data (<>@#@$$) (a6989586621679653661 :: a) :: (~>) a a infixr 6 Source #

Instances

Instances details

(SSemigroup a, SingI d) => SingI ((<>@#@$$) d :: TyFun a a -> Type) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods sing :: Sing ((<>@#@$$) d) #
SuppressUnusedWarnings ((<>@#@$$) a6989586621679653661 :: TyFun a a -> Type) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((<>@#@$$) a6989586621679653661 :: TyFun a a -> Type) (a6989586621679653662 :: a) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Apply ((<>@#@$$) a6989586621679653661 :: TyFun a a -> Type) (a6989586621679653662 :: a) = a6989586621679653661 <> a6989586621679653662

type family (a6989586621679653661 :: a) <>@#@$$$ (a6989586621679653662 :: a) :: a where ... infixr 6 Source #

Equations

a6989586621679653661 <>@#@$$$ a6989586621679653662 = (<>) a6989586621679653661 a6989586621679653662

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) (a6989586621680267906 :: a) Source #
Instance details Defined in Data.Monoid.Singletons type Apply (MappendSym0 :: TyFun a (a ~> a) -> Type) (a6989586621680267906 :: a) = MappendSym1 a6989586621680267906

data MappendSym1 (a6989586621680267906 :: a) :: (~>) a a Source #

Instances

Instances details

(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 a6989586621680267906 :: TyFun a a -> Type) Source #
Instance details Defined in Data.Monoid.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MappendSym1 a6989586621680267906 :: TyFun a a -> Type) (a6989586621680267907 :: a) Source #
Instance details Defined in Data.Monoid.Singletons type Apply (MappendSym1 a6989586621680267906 :: TyFun a a -> Type) (a6989586621680267907 :: a) = Mappend a6989586621680267906 a6989586621680267907

type family MappendSym2 (a6989586621680267906 :: a) (a6989586621680267907 :: a) :: a where ... Source #

Equations

MappendSym2 a6989586621680267906 a6989586621680267907 = Mappend a6989586621680267906 a6989586621680267907

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) (a6989586621680267910 :: [a]) Source #
Instance details Defined in Data.Monoid.Singletons type Apply (MconcatSym0 :: TyFun [a] a -> Type) (a6989586621680267910 :: [a]) = Mconcat a6989586621680267910

type family MconcatSym1 (a6989586621680267910 :: [a]) :: a where ... Source #

Equations

MconcatSym1 a6989586621680267910 = Mconcat a6989586621680267910

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) (a6989586621679319155 :: a ~> b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (FmapSym0 :: TyFun (a ~> b) (f a ~> f b) -> Type) (a6989586621679319155 :: a ~> b) = FmapSym1 a6989586621679319155 :: TyFun (f a) (f b) -> Type

data FmapSym1 (a6989586621679319155 :: (~>) a b) :: (~>) (f a) (f b) Source #

Instances

Instances details

(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 a6989586621679319155 :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (FmapSym1 a6989586621679319155 :: TyFun (f a) (f b) -> Type) (a6989586621679319156 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (FmapSym1 a6989586621679319155 :: TyFun (f a) (f b) -> Type) (a6989586621679319156 :: f a) = Fmap a6989586621679319155 a6989586621679319156

type family FmapSym2 (a6989586621679319155 :: (~>) a b) (a6989586621679319156 :: f a) :: f b where ... Source #

Equations

FmapSym2 a6989586621679319155 a6989586621679319156 = Fmap a6989586621679319155 a6989586621679319156

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) (a6989586621679319160 :: a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<$@#@$) :: TyFun a (f b ~> f a) -> Type) (a6989586621679319160 :: a) = (<$@#@$$) a6989586621679319160 :: TyFun (f b) (f a) -> Type

data (<$@#@$$) (a6989586621679319160 :: a) :: (~>) (f b) (f a) infixl 4 Source #

Instances

Instances details

(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 ((<$@#@$$) a6989586621679319160 :: TyFun (f b) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((<$@#@$$) a6989586621679319160 :: TyFun (f b) (f a) -> Type) (a6989586621679319161 :: f b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<$@#@$$) a6989586621679319160 :: TyFun (f b) (f a) -> Type) (a6989586621679319161 :: f b) = a6989586621679319160 <$ a6989586621679319161

type family (a6989586621679319160 :: a) <$@#@$$$ (a6989586621679319161 :: f b) :: f a where ... infixl 4 Source #

Equations

a6989586621679319160 <$@#@$$$ a6989586621679319161 = (<$) a6989586621679319160 a6989586621679319161

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) (a6989586621679497631 :: a ~> b) Source #
Instance details Defined in Data.Functor.Singletons type Apply ((<$>@#@$) :: TyFun (a ~> b) (f a ~> f b) -> Type) (a6989586621679497631 :: a ~> b) = (<$>@#@$$) a6989586621679497631 :: TyFun (f a) (f b) -> Type

data (<$>@#@$$) (a6989586621679497631 :: (~>) a b) :: (~>) (f a) (f b) infixl 4 Source #

Instances

Instances details

(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 ((<$>@#@$$) a6989586621679497631 :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Data.Functor.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((<$>@#@$$) a6989586621679497631 :: TyFun (f a) (f b) -> Type) (a6989586621679497632 :: f a) Source #
Instance details Defined in Data.Functor.Singletons type Apply ((<$>@#@$$) a6989586621679497631 :: TyFun (f a) (f b) -> Type) (a6989586621679497632 :: f a) = a6989586621679497631 <$> a6989586621679497632

type family (a6989586621679497631 :: (~>) a b) <$>@#@$$$ (a6989586621679497632 :: f a) :: f b where ... infixl 4 Source #

Equations

a6989586621679497631 <$>@#@$$$ a6989586621679497632 = (<$>) a6989586621679497631 a6989586621679497632

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) (a6989586621679319179 :: a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (PureSym0 :: TyFun a (f a) -> Type) (a6989586621679319179 :: a) = Pure a6989586621679319179 :: f a

type family PureSym1 (a6989586621679319179 :: a) :: f a where ... Source #

Equations

PureSym1 a6989586621679319179 = Pure a6989586621679319179

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) (a6989586621679319183 :: f (a ~> b)) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<>@#@$) :: TyFun (f (a ~> b)) (f a ~> f b) -> Type) (a6989586621679319183 :: f (a ~> b)) = (<>@#@$$) a6989586621679319183

data (<*>@#@$$) (a6989586621679319183 :: f ((~>) a b)) :: (~>) (f a) (f b) infixl 4 Source #

Instances

Instances details

(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 ((<*>@#@$$) a6989586621679319183 :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((<*>@#@$$) a6989586621679319183 :: TyFun (f a) (f b) -> Type) (a6989586621679319184 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<>@#@$$) a6989586621679319183 :: TyFun (f a) (f b) -> Type) (a6989586621679319184 :: f a) = a6989586621679319183 <> a6989586621679319184

type family (a6989586621679319183 :: f ((~>) a b)) <*>@#@$$$ (a6989586621679319184 :: f a) :: f b where ... infixl 4 Source #

Equations

a6989586621679319183 <*>@#@$$$ a6989586621679319184 = (<*>) a6989586621679319183 a6989586621679319184

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) (a6989586621679319195 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>@#@$) :: TyFun (f a) (f b ~> f b) -> Type) (a6989586621679319195 :: f a) = (>@#@$$) a6989586621679319195 :: TyFun (f b) (f b) -> Type

data (*>@#@$$) (a6989586621679319195 :: f a) :: (~>) (f b) (f b) infixl 4 Source #

Instances

Instances details

(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 ((*>@#@$$) a6989586621679319195 :: TyFun (f b) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((*>@#@$$) a6989586621679319195 :: TyFun (f b) (f b) -> Type) (a6989586621679319196 :: f b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>@#@$$) a6989586621679319195 :: TyFun (f b) (f b) -> Type) (a6989586621679319196 :: f b) = a6989586621679319195 > a6989586621679319196

type family (a6989586621679319195 :: f a) *>@#@$$$ (a6989586621679319196 :: f b) :: f b where ... infixl 4 Source #

Equations

a6989586621679319195 *>@#@$$$ a6989586621679319196 = (*>) a6989586621679319195 a6989586621679319196

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) (a6989586621679319200 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<@#@$) :: TyFun (f a) (f b ~> f a) -> Type) (a6989586621679319200 :: f a) = (<@#@$$) a6989586621679319200 :: TyFun (f b) (f a) -> Type

data (<*@#@$$) (a6989586621679319200 :: f a) :: (~>) (f b) (f a) infixl 4 Source #

Instances

Instances details

(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 ((<*@#@$$) a6989586621679319200 :: TyFun (f b) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((<*@#@$$) a6989586621679319200 :: TyFun (f b) (f a) -> Type) (a6989586621679319201 :: f b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<@#@$$) a6989586621679319200 :: TyFun (f b) (f a) -> Type) (a6989586621679319201 :: f b) = a6989586621679319200 < a6989586621679319201

type family (a6989586621679319200 :: f a) <*@#@$$$ (a6989586621679319201 :: f b) :: f a where ... infixl 4 Source #

Equations

a6989586621679319200 <*@#@$$$ a6989586621679319201 = (<*) a6989586621679319200 a6989586621679319201

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) (a6989586621679319263 :: m a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>>=@#@$) :: TyFun (m a) ((a ~> m b) ~> m b) -> Type) (a6989586621679319263 :: m a) = (>>=@#@$$) a6989586621679319263 :: TyFun (a ~> m b) (m b) -> Type

data (>>=@#@$$) (a6989586621679319263 :: m a) :: (~>) ((~>) a (m b)) (m b) infixl 1 Source #

Instances

Instances details

(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 ((>>=@#@$$) a6989586621679319263 :: TyFun (a ~> m b) (m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((>>=@#@$$) a6989586621679319263 :: TyFun (a ~> m b) (m b) -> Type) (a6989586621679319264 :: a ~> m b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>>=@#@$$) a6989586621679319263 :: TyFun (a ~> m b) (m b) -> Type) (a6989586621679319264 :: a ~> m b) = a6989586621679319263 >>= a6989586621679319264

type family (a6989586621679319263 :: m a) >>=@#@$$$ (a6989586621679319264 :: (~>) a (m b)) :: m b where ... infixl 1 Source #

Equations

a6989586621679319263 >>=@#@$$$ a6989586621679319264 = (>>=) a6989586621679319263 a6989586621679319264

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) (a6989586621679319268 :: m a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>>@#@$) :: TyFun (m a) (m b ~> m b) -> Type) (a6989586621679319268 :: m a) = (>>@#@$$) a6989586621679319268 :: TyFun (m b) (m b) -> Type

data (>>@#@$$) (a6989586621679319268 :: m a) :: (~>) (m b) (m b) infixl 1 Source #

Instances

Instances details

(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 ((>>@#@$$) a6989586621679319268 :: TyFun (m b) (m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((>>@#@$$) a6989586621679319268 :: TyFun (m b) (m b) -> Type) (a6989586621679319269 :: m b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>>@#@$$) a6989586621679319268 :: TyFun (m b) (m b) -> Type) (a6989586621679319269 :: m b) = a6989586621679319268 >> a6989586621679319269

type family (a6989586621679319268 :: m a) >>@#@$$$ (a6989586621679319269 :: m b) :: m b where ... infixl 1 Source #

Equations

a6989586621679319268 >>@#@$$$ a6989586621679319269 = (>>) a6989586621679319268 a6989586621679319269

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) (a6989586621679319272 :: a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (ReturnSym0 :: TyFun a (m a) -> Type) (a6989586621679319272 :: a) = Return a6989586621679319272 :: m a

type family ReturnSym1 (a6989586621679319272 :: a) :: m a where ... Source #

Equations

ReturnSym1 a6989586621679319272 = Return a6989586621679319272

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) (a6989586621679514291 :: [Char]) Source #
Instance details Defined in Control.Monad.Fail.Singletons type Apply (FailSym0 :: TyFun [Char] (m a) -> Type) (a6989586621679514291 :: [Char]) = Fail a6989586621679514291 :: m a

type family FailSym1 (a6989586621679514291 :: [Char]) :: m a where ... Source #

Equations

FailSym1 a6989586621679514291 = Fail a6989586621679514291

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) (a6989586621680367213 :: a ~> m b) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (MapM_Sym0 :: TyFun (a ~> m b) (t a ~> m ()) -> Type) (a6989586621680367213 :: a ~> m b) = MapM_Sym1 a6989586621680367213 :: TyFun (t a) (m ()) -> Type

data MapM_Sym1 (a6989586621680367213 :: (~>) a (m b)) :: (~>) (t a) (m ()) Source #

Instances

Instances details

(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 a6989586621680367213 :: TyFun (t a) (m ()) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MapM_Sym1 a6989586621680367213 :: TyFun (t a) (m ()) -> Type) (a6989586621680367214 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (MapM_Sym1 a6989586621680367213 :: TyFun (t a) (m ()) -> Type) (a6989586621680367214 :: t a) = MapM_ a6989586621680367213 a6989586621680367214

type family MapM_Sym2 (a6989586621680367213 :: (~>) a (m b)) (a6989586621680367214 :: t a) :: m () where ... Source #

Equations

MapM_Sym2 a6989586621680367213 a6989586621680367214 = MapM_ a6989586621680367213 a6989586621680367214

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) (a6989586621680367189 :: t (m a)) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (Sequence_Sym0 :: TyFun (t (m a)) (m ()) -> Type) (a6989586621680367189 :: t (m a)) = Sequence_ a6989586621680367189

type family Sequence_Sym1 (a6989586621680367189 :: t (m a)) :: m () where ... Source #

Equations

Sequence_Sym1 a6989586621680367189 = Sequence_ a6989586621680367189

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) (a6989586621679319108 :: a ~> m b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((=<<@#@$) :: TyFun (a ~> m b) (m a ~> m b) -> Type) (a6989586621679319108 :: a ~> m b) = (=<<@#@$$) a6989586621679319108

data (=<<@#@$$) (a6989586621679319108 :: (~>) a (m b)) :: (~>) (m a) (m b) infixr 1 Source #

Instances

Instances details

(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 ((=<<@#@$$) a6989586621679319108 :: TyFun (m a) (m b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((=<<@#@$$) a6989586621679319108 :: TyFun (m a) (m b) -> Type) (a6989586621679319109 :: m a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((=<<@#@$$) a6989586621679319108 :: TyFun (m a) (m b) -> Type) (a6989586621679319109 :: m a) = a6989586621679319108 =<< a6989586621679319109

type family (a6989586621679319108 :: (~>) a (m b)) =<<@#@$$$ (a6989586621679319109 :: m a) :: m b where ... infixr 1 Source #

Equations

a6989586621679319108 =<<@#@$$$ a6989586621679319109 = (=<<) a6989586621679319108 a6989586621679319109

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) (a6989586621680367331 :: a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (ElemSym0 :: TyFun a (t a ~> Bool) -> Type) (a6989586621680367331 :: a) = ElemSym1 a6989586621680367331 :: TyFun (t a) Bool -> Type

data ElemSym1 (a6989586621680367331 :: a) :: (~>) (t a) Bool Source #

Instances

Instances details

(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 a6989586621680367331 :: TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ElemSym1 a6989586621680367331 :: TyFun (t a) Bool -> Type) (a6989586621680367332 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (ElemSym1 a6989586621680367331 :: TyFun (t a) Bool -> Type) (a6989586621680367332 :: t a) = Elem a6989586621680367331 a6989586621680367332

type family ElemSym2 (a6989586621680367331 :: a) (a6989586621680367332 :: t a) :: Bool where ... Source #

Equations

ElemSym2 a6989586621680367331 a6989586621680367332 = Elem a6989586621680367331 a6989586621680367332

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) (a6989586621680367279 :: a ~> m) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldMapSym0 :: TyFun (a ~> m) (t a ~> m) -> Type) (a6989586621680367279 :: a ~> m) = FoldMapSym1 a6989586621680367279 :: TyFun (t a) m -> Type

data FoldMapSym1 (a6989586621680367279 :: (~>) a m) :: (~>) (t a) m Source #

Instances

Instances details

(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 a6989586621680367279 :: TyFun (t a) m -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FoldMapSym1 a6989586621680367279 :: TyFun (t a) m -> Type) (a6989586621680367280 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldMapSym1 a6989586621680367279 :: TyFun (t a) m -> Type) (a6989586621680367280 :: t a) = FoldMap a6989586621680367279 a6989586621680367280

type family FoldMapSym2 (a6989586621680367279 :: (~>) a m) (a6989586621680367280 :: t a) :: m where ... Source #

Equations

FoldMapSym2 a6989586621680367279 a6989586621680367280 = FoldMap a6989586621680367279 a6989586621680367280

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) (a6989586621680367285 :: a ~> (b ~> b)) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldrSym0 :: TyFun (a ~> (b ~> b)) (b ~> (t a ~> b)) -> Type) (a6989586621680367285 :: a ~> (b ~> b)) = FoldrSym1 a6989586621680367285 :: TyFun b (t a ~> b) -> Type

data FoldrSym1 (a6989586621680367285 :: (~>) a ((~>) b b)) :: (~>) b ((~>) (t a) b) Source #

Instances

Instances details

(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 a6989586621680367285 :: TyFun b (t a ~> b) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FoldrSym1 a6989586621680367285 :: TyFun b (t a ~> b) -> Type) (a6989586621680367286 :: b) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldrSym1 a6989586621680367285 :: TyFun b (t a ~> b) -> Type) (a6989586621680367286 :: b) = FoldrSym2 a6989586621680367285 a6989586621680367286 :: TyFun (t a) b -> Type

data FoldrSym2 (a6989586621680367285 :: (~>) a ((~>) b b)) (a6989586621680367286 :: b) :: (~>) (t a) b Source #

Instances

Instances details

(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 a6989586621680367285 a6989586621680367286 :: TyFun (t a) b -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FoldrSym2 a6989586621680367285 a6989586621680367286 :: TyFun (t a) b -> Type) (a6989586621680367287 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldrSym2 a6989586621680367285 a6989586621680367286 :: TyFun (t a) b -> Type) (a6989586621680367287 :: t a) = Foldr a6989586621680367285 a6989586621680367286 a6989586621680367287

type family FoldrSym3 (a6989586621680367285 :: (~>) a ((~>) b b)) (a6989586621680367286 :: b) (a6989586621680367287 :: t a) :: b where ... Source #

Equations

FoldrSym3 a6989586621680367285 a6989586621680367286 a6989586621680367287 = Foldr a6989586621680367285 a6989586621680367286 a6989586621680367287

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) (a6989586621680367299 :: b ~> (a ~> b)) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldlSym0 :: TyFun (b ~> (a ~> b)) (b ~> (t a ~> b)) -> Type) (a6989586621680367299 :: b ~> (a ~> b)) = FoldlSym1 a6989586621680367299 :: TyFun b (t a ~> b) -> Type

data FoldlSym1 (a6989586621680367299 :: (~>) b ((~>) a b)) :: (~>) b ((~>) (t a) b) Source #

Instances

Instances details

(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 a6989586621680367299 :: TyFun b (t a ~> b) -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FoldlSym1 a6989586621680367299 :: TyFun b (t a ~> b) -> Type) (a6989586621680367300 :: b) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldlSym1 a6989586621680367299 :: TyFun b (t a ~> b) -> Type) (a6989586621680367300 :: b) = FoldlSym2 a6989586621680367299 a6989586621680367300 :: TyFun (t a) b -> Type

data FoldlSym2 (a6989586621680367299 :: (~>) b ((~>) a b)) (a6989586621680367300 :: b) :: (~>) (t a) b Source #

Instances

Instances details

(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 a6989586621680367299 a6989586621680367300 :: TyFun (t a) b -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FoldlSym2 a6989586621680367299 a6989586621680367300 :: TyFun (t a) b -> Type) (a6989586621680367301 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (FoldlSym2 a6989586621680367299 a6989586621680367300 :: TyFun (t a) b -> Type) (a6989586621680367301 :: t a) = Foldl a6989586621680367299 a6989586621680367300 a6989586621680367301

type family FoldlSym3 (a6989586621680367299 :: (~>) b ((~>) a b)) (a6989586621680367300 :: b) (a6989586621680367301 :: t a) :: b where ... Source #

Equations

FoldlSym3 a6989586621680367299 a6989586621680367300 a6989586621680367301 = Foldl a6989586621680367299 a6989586621680367300 a6989586621680367301

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) (a6989586621680367312 :: a ~> (a ~> a)) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (Foldr1Sym0 :: TyFun (a ~> (a ~> a)) (t a ~> a) -> Type) (a6989586621680367312 :: a ~> (a ~> a)) = Foldr1Sym1 a6989586621680367312 :: TyFun (t a) a -> Type

data Foldr1Sym1 (a6989586621680367312 :: (~>) a ((~>) a a)) :: (~>) (t a) a Source #

Instances

Instances details

(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 a6989586621680367312 :: TyFun (t a) a -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Foldr1Sym1 a6989586621680367312 :: TyFun (t a) a -> Type) (a6989586621680367313 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (Foldr1Sym1 a6989586621680367312 :: TyFun (t a) a -> Type) (a6989586621680367313 :: t a) = Foldr1 a6989586621680367312 a6989586621680367313

type family Foldr1Sym2 (a6989586621680367312 :: (~>) a ((~>) a a)) (a6989586621680367313 :: t a) :: a where ... Source #

Equations

Foldr1Sym2 a6989586621680367312 a6989586621680367313 = Foldr1 a6989586621680367312 a6989586621680367313

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) (a6989586621680367317 :: a ~> (a ~> a)) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (Foldl1Sym0 :: TyFun (a ~> (a ~> a)) (t a ~> a) -> Type) (a6989586621680367317 :: a ~> (a ~> a)) = Foldl1Sym1 a6989586621680367317 :: TyFun (t a) a -> Type

data Foldl1Sym1 (a6989586621680367317 :: (~>) a ((~>) a a)) :: (~>) (t a) a Source #

Instances

Instances details

(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 a6989586621680367317 :: TyFun (t a) a -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Foldl1Sym1 a6989586621680367317 :: TyFun (t a) a -> Type) (a6989586621680367318 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (Foldl1Sym1 a6989586621680367317 :: TyFun (t a) a -> Type) (a6989586621680367318 :: t a) = Foldl1 a6989586621680367317 a6989586621680367318

type family Foldl1Sym2 (a6989586621680367317 :: (~>) a ((~>) a a)) (a6989586621680367318 :: t a) :: a where ... Source #

Equations

Foldl1Sym2 a6989586621680367317 a6989586621680367318 = Foldl1 a6989586621680367317 a6989586621680367318

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) (a6989586621680367335 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (MaximumSym0 :: TyFun (t a) a -> Type) (a6989586621680367335 :: t a) = Maximum a6989586621680367335

type family MaximumSym1 (a6989586621680367335 :: t a) :: a where ... Source #

Equations

MaximumSym1 a6989586621680367335 = Maximum a6989586621680367335

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) (a6989586621680367338 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (MinimumSym0 :: TyFun (t a) a -> Type) (a6989586621680367338 :: t a) = Minimum a6989586621680367338

type family MinimumSym1 (a6989586621680367338 :: t a) :: a where ... Source #

Equations

MinimumSym1 a6989586621680367338 = Minimum a6989586621680367338

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) (a6989586621680367344 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (ProductSym0 :: TyFun (t a) a -> Type) (a6989586621680367344 :: t a) = Product a6989586621680367344

type family ProductSym1 (a6989586621680367344 :: t a) :: a where ... Source #

Equations

ProductSym1 a6989586621680367344 = Product a6989586621680367344

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) (a6989586621680367341 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (SumSym0 :: TyFun (t a) a -> Type) (a6989586621680367341 :: t a) = Sum a6989586621680367341

type family SumSym1 (a6989586621680367341 :: t a) :: a where ... Source #

Equations

SumSym1 a6989586621680367341 = Sum a6989586621680367341

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) (a6989586621680721206 :: a ~> f b) Source #
Instance details Defined in Data.Traversable.Singletons type Apply (TraverseSym0 :: TyFun (a ~> f b) (t a ~> f (t b)) -> Type) (a6989586621680721206 :: a ~> f b) = TraverseSym1 a6989586621680721206 :: TyFun (t a) (f (t b)) -> Type

data TraverseSym1 (a6989586621680721206 :: (~>) a (f b)) :: (~>) (t a) (f (t b)) Source #

Instances

Instances details

(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 a6989586621680721206 :: TyFun (t a) (f (t b)) -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (TraverseSym1 a6989586621680721206 :: TyFun (t a) (f (t b)) -> Type) (a6989586621680721207 :: t a) Source #
Instance details Defined in Data.Traversable.Singletons type Apply (TraverseSym1 a6989586621680721206 :: TyFun (t a) (f (t b)) -> Type) (a6989586621680721207 :: t a) = Traverse a6989586621680721206 a6989586621680721207

type family TraverseSym2 (a6989586621680721206 :: (~>) a (f b)) (a6989586621680721207 :: t a) :: f (t b) where ... Source #

Equations

TraverseSym2 a6989586621680721206 a6989586621680721207 = Traverse a6989586621680721206 a6989586621680721207

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) (a6989586621680721210 :: t (f a)) Source #
Instance details Defined in Data.Traversable.Singletons type Apply (SequenceASym0 :: TyFun (t (f a)) (f (t a)) -> Type) (a6989586621680721210 :: t (f a)) = SequenceA a6989586621680721210

type family SequenceASym1 (a6989586621680721210 :: t (f a)) :: f (t a) where ... Source #

Equations

SequenceASym1 a6989586621680721210 = SequenceA a6989586621680721210

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) (a6989586621680721214 :: a ~> m b) Source #
Instance details Defined in Data.Traversable.Singletons type Apply (MapMSym0 :: TyFun (a ~> m b) (t a ~> m (t b)) -> Type) (a6989586621680721214 :: a ~> m b) = MapMSym1 a6989586621680721214 :: TyFun (t a) (m (t b)) -> Type

data MapMSym1 (a6989586621680721214 :: (~>) a (m b)) :: (~>) (t a) (m (t b)) Source #

Instances

Instances details

(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 a6989586621680721214 :: TyFun (t a) (m (t b)) -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MapMSym1 a6989586621680721214 :: TyFun (t a) (m (t b)) -> Type) (a6989586621680721215 :: t a) Source #
Instance details Defined in Data.Traversable.Singletons type Apply (MapMSym1 a6989586621680721214 :: TyFun (t a) (m (t b)) -> Type) (a6989586621680721215 :: t a) = MapM a6989586621680721214 a6989586621680721215

type family MapMSym2 (a6989586621680721214 :: (~>) a (m b)) (a6989586621680721215 :: t a) :: m (t b) where ... Source #

Equations

MapMSym2 a6989586621680721214 a6989586621680721215 = MapM a6989586621680721214 a6989586621680721215

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) (a6989586621680721218 :: t (m a)) Source #
Instance details Defined in Data.Traversable.Singletons type Apply (SequenceSym0 :: TyFun (t (m a)) (m (t a)) -> Type) (a6989586621680721218 :: t (m a)) = Sequence a6989586621680721218

type family SequenceSym1 (a6989586621680721218 :: t (m a)) :: m (t a) where ... Source #

Equations

SequenceSym1 a6989586621680721218 = Sequence a6989586621680721218

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) (a6989586621679274074 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (IdSym0 :: TyFun a a -> Type) (a6989586621679274074 :: a) = Id a6989586621679274074

type family IdSym1 (a6989586621679274074 :: a) :: a where ... Source #

Equations

IdSym1 a6989586621679274074 = Id a6989586621679274074

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) (a6989586621679274069 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (ConstSym0 :: TyFun a (b ~> a) -> Type) (a6989586621679274069 :: a) = ConstSym1 a6989586621679274069 :: TyFun b a -> Type

data ConstSym1 (a6989586621679274069 :: a) :: (~>) b a Source #

Instances

Instances details

SingI d => SingI (ConstSym1 d :: TyFun b a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (ConstSym1 d) #
SuppressUnusedWarnings (ConstSym1 a6989586621679274069 :: TyFun b a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ConstSym1 a6989586621679274069 :: TyFun b a -> Type) (a6989586621679274070 :: b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (ConstSym1 a6989586621679274069 :: TyFun b a -> Type) (a6989586621679274070 :: b) = Const a6989586621679274069 a6989586621679274070

type family ConstSym2 (a6989586621679274069 :: a) (a6989586621679274070 :: b) :: a where ... Source #

Equations

ConstSym2 a6989586621679274069 a6989586621679274070 = Const a6989586621679274069 a6989586621679274070

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) (a6989586621679274056 :: b ~> c) Source #
Instance details Defined in GHC.Base.Singletons type Apply ((.@#@$) :: TyFun (b ~> c) ((a ~> b) ~> (a ~> c)) -> Type) (a6989586621679274056 :: b ~> c) = (.@#@$$) a6989586621679274056 :: TyFun (a ~> b) (a ~> c) -> Type

data (.@#@$$) (a6989586621679274056 :: (~>) b c) :: (~>) ((~>) a b) ((~>) a c) infixr 9 Source #

Instances

Instances details

SingI d => SingI ((.@#@$$) d :: TyFun (a ~> b) (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing ((.@#@$$) d) #
SuppressUnusedWarnings ((.@#@$$) a6989586621679274056 :: TyFun (a ~> b) (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((.@#@$$) a6989586621679274056 :: TyFun (a ~> b) (a ~> c) -> Type) (a6989586621679274057 :: a ~> b) Source #
Instance details Defined in GHC.Base.Singletons type Apply ((.@#@$$) a6989586621679274056 :: TyFun (a ~> b) (a ~> c) -> Type) (a6989586621679274057 :: a ~> b) = a6989586621679274056 .@#@$$$ a6989586621679274057

data (a6989586621679274056 :: (~>) b c) .@#@$$$ (a6989586621679274057 :: (~>) a b) :: (~>) a c infixr 9 Source #

Instances

Instances details

(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 (a6989586621679274056 .@#@$$$ a6989586621679274057 :: TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (a6989586621679274056 .@#@$$$ a6989586621679274057 :: TyFun a c -> Type) (a6989586621679274058 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (a6989586621679274056 .@#@$$$ a6989586621679274057 :: TyFun a c -> Type) (a6989586621679274058 :: a) = (a6989586621679274056 . a6989586621679274057) a6989586621679274058

type family ((a6989586621679274056 :: (~>) b c) .@#@$$$$ (a6989586621679274057 :: (~>) a b)) (a6989586621679274058 :: a) :: c where ... infixr 9 Source #

Equations

(a6989586621679274056 .@#@$$$$ a6989586621679274057) a6989586621679274058 = (.) a6989586621679274056 a6989586621679274057 a6989586621679274058

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) (a6989586621679274044 :: a ~> (b ~> c)) Source #
Instance details Defined in GHC.Base.Singletons type Apply (FlipSym0 :: TyFun (a ~> (b ~> c)) (b ~> (a ~> c)) -> Type) (a6989586621679274044 :: a ~> (b ~> c)) = FlipSym1 a6989586621679274044

data FlipSym1 (a6989586621679274044 :: (~>) a ((~>) b c)) :: (~>) b ((~>) a c) Source #

Instances

Instances details

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 a6989586621679274044 :: TyFun b (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FlipSym1 a6989586621679274044 :: TyFun b (a ~> c) -> Type) (a6989586621679274045 :: b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (FlipSym1 a6989586621679274044 :: TyFun b (a ~> c) -> Type) (a6989586621679274045 :: b) = FlipSym2 a6989586621679274044 a6989586621679274045

data FlipSym2 (a6989586621679274044 :: (~>) a ((~>) b c)) (a6989586621679274045 :: b) :: (~>) a c Source #

Instances

Instances details

(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 a6989586621679274044 a6989586621679274045 :: TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FlipSym2 a6989586621679274044 a6989586621679274045 :: TyFun a c -> Type) (a6989586621679274046 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (FlipSym2 a6989586621679274044 a6989586621679274045 :: TyFun a c -> Type) (a6989586621679274046 :: a) = Flip a6989586621679274044 a6989586621679274045 a6989586621679274046

type family FlipSym3 (a6989586621679274044 :: (~>) a ((~>) b c)) (a6989586621679274045 :: b) (a6989586621679274046 :: a) :: c where ... Source #

Equations

FlipSym3 a6989586621679274044 a6989586621679274045 a6989586621679274046 = Flip a6989586621679274044 a6989586621679274045 a6989586621679274046

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) (a6989586621679274025 :: a ~> b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (($@#@$) :: TyFun (a ~> b) (a ~> b) -> Type) (a6989586621679274025 :: a ~> b) = ($@#@$$) a6989586621679274025

data ($@#@$$) (a6989586621679274025 :: (~>) a b) :: (~>) a b infixr 0 Source #

Instances

Instances details

SingI d => SingI (($@#@$$) d :: TyFun a b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (($@#@$$) d) #
SuppressUnusedWarnings (($@#@$$) a6989586621679274025 :: TyFun a b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (($@#@$$) a6989586621679274025 :: TyFun a b -> Type) (a6989586621679274026 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (($@#@$$) a6989586621679274025 :: TyFun a b -> Type) (a6989586621679274026 :: a) = a6989586621679274025 $ a6989586621679274026

type family (a6989586621679274025 :: (~>) a b) $@#@$$$ (a6989586621679274026 :: a) :: b where ... infixr 0 Source #

Equations

a6989586621679274025 $@#@$$$ a6989586621679274026 = ($) a6989586621679274025 a6989586621679274026

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) (a6989586621679273998 :: a ~> Bool) Source #
Instance details Defined in GHC.Base.Singletons type Apply (UntilSym0 :: TyFun (a ~> Bool) ((a ~> a) ~> (a ~> a)) -> Type) (a6989586621679273998 :: a ~> Bool) = UntilSym1 a6989586621679273998

data UntilSym1 (a6989586621679273998 :: (~>) 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 a6989586621679273998 :: TyFun (a ~> a) (a ~> a) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (UntilSym1 a6989586621679273998 :: TyFun (a ~> a) (a ~> a) -> Type) (a6989586621679273999 :: a ~> a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (UntilSym1 a6989586621679273998 :: TyFun (a ~> a) (a ~> a) -> Type) (a6989586621679273999 :: a ~> a) = UntilSym2 a6989586621679273998 a6989586621679273999

data UntilSym2 (a6989586621679273998 :: (~>) a Bool) (a6989586621679273999 :: (~>) a a) :: (~>) a a Source #

Instances

Instances details

(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 a6989586621679273998 a6989586621679273999 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (UntilSym2 a6989586621679273998 a6989586621679273999 :: TyFun a a -> Type) (a6989586621679274000 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (UntilSym2 a6989586621679273998 a6989586621679273999 :: TyFun a a -> Type) (a6989586621679274000 :: a) = Until a6989586621679273998 a6989586621679273999 a6989586621679274000

type family UntilSym3 (a6989586621679273998 :: (~>) a Bool) (a6989586621679273999 :: (~>) a a) (a6989586621679274000 :: a) :: a where ... Source #

Equations

UntilSym3 a6989586621679273998 a6989586621679273999 a6989586621679274000 = Until a6989586621679273998 a6989586621679273999 a6989586621679274000

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) (a6989586621679274036 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (AsTypeOfSym0 :: TyFun a (a ~> a) -> Type) (a6989586621679274036 :: a) = AsTypeOfSym1 a6989586621679274036

data AsTypeOfSym1 (a6989586621679274036 :: a) :: (~>) a a Source #

Instances

Instances details

SingI d => SingI (AsTypeOfSym1 d :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (AsTypeOfSym1 d) #
SuppressUnusedWarnings (AsTypeOfSym1 a6989586621679274036 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (AsTypeOfSym1 a6989586621679274036 :: TyFun a a -> Type) (a6989586621679274037 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (AsTypeOfSym1 a6989586621679274036 :: TyFun a a -> Type) (a6989586621679274037 :: a) = AsTypeOf a6989586621679274036 a6989586621679274037

type family AsTypeOfSym2 (a6989586621679274036 :: a) (a6989586621679274037 :: a) :: a where ... Source #

Equations

AsTypeOfSym2 a6989586621679274036 a6989586621679274037 = AsTypeOf a6989586621679274036 a6989586621679274037

data ErrorSym0 :: (~>) k0 k Source #

Instances

Instances details

SingI (ErrorSym0 :: TyFun Symbol a -> Type) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sing :: Sing ErrorSym0 #
SuppressUnusedWarnings (ErrorSym0 :: TyFun k0 k -> Type) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ErrorSym0 :: TyFun k0 k2 -> Type) (a6989586621679518606 :: k0) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Apply (ErrorSym0 :: TyFun k0 k2 -> Type) (a6989586621679518606 :: k0) = Error a6989586621679518606 :: k2

type family ErrorSym1 (a6989586621679518606 :: k0) :: k where ... Source #

Equations

ErrorSym1 a6989586621679518606 = Error a6989586621679518606

data ErrorWithoutStackTraceSym0 :: (~>) k0 k Source #

Instances

Instances details

SingI (ErrorWithoutStackTraceSym0 :: TyFun Symbol a -> Type) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods sing :: Sing ErrorWithoutStackTraceSym0 #
SuppressUnusedWarnings (ErrorWithoutStackTraceSym0 :: TyFun k0 k -> Type) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ErrorWithoutStackTraceSym0 :: TyFun k0 k2 -> Type) (a6989586621679518903 :: k0) Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Apply (ErrorWithoutStackTraceSym0 :: TyFun k0 k2 -> Type) (a6989586621679518903 :: k0) = ErrorWithoutStackTrace a6989586621679518903 :: k2

type family ErrorWithoutStackTraceSym1 (a6989586621679518903 :: k0) :: k where ... Source #

Equations

ErrorWithoutStackTraceSym1 a6989586621679518903 = ErrorWithoutStackTrace a6989586621679518903

type family UndefinedSym0 :: k where ... Source #

Equations

UndefinedSym0 = Undefined

data SeqSym0 :: (~>) a ((~>) b b) infixr 0 Source #

Instances

Instances details

SingI (SeqSym0 :: TyFun a (b ~> b) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing SeqSym0 #
SuppressUnusedWarnings (SeqSym0 :: TyFun a (b ~> b) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (SeqSym0 :: TyFun a (b ~> b) -> Type) (a6989586621679273989 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (SeqSym0 :: TyFun a (b ~> b) -> Type) (a6989586621679273989 :: a) = SeqSym1 a6989586621679273989 :: TyFun b b -> Type

data SeqSym1 (a6989586621679273989 :: a) :: (~>) b b infixr 0 Source #

Instances

Instances details

SingI d => SingI (SeqSym1 d :: TyFun b b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (SeqSym1 d) #
SuppressUnusedWarnings (SeqSym1 a6989586621679273989 :: TyFun b b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (SeqSym1 a6989586621679273989 :: TyFun b b -> Type) (a6989586621679273990 :: b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (SeqSym1 a6989586621679273989 :: TyFun b b -> Type) (a6989586621679273990 :: b) = Seq a6989586621679273989 a6989586621679273990

type family SeqSym2 (a6989586621679273989 :: a) (a6989586621679273990 :: b) :: b where ... infixr 0 Source #

Equations

SeqSym2 a6989586621679273989 a6989586621679273990 = Seq a6989586621679273989 a6989586621679273990

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) (a6989586621679274016 :: a ~> b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (($!@#@$) :: TyFun (a ~> b) (a ~> b) -> Type) (a6989586621679274016 :: a ~> b) = ($!@#@$$) a6989586621679274016

data ($!@#@$$) (a6989586621679274016 :: (~>) a b) :: (~>) a b infixr 0 Source #

Instances

Instances details

SingI d => SingI (($!@#@$$) d :: TyFun a b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (($!@#@$$) d) #
SuppressUnusedWarnings (($!@#@$$) a6989586621679274016 :: TyFun a b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (($!@#@$$) a6989586621679274016 :: TyFun a b -> Type) (a6989586621679274017 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (($!@#@$$) a6989586621679274016 :: TyFun a b -> Type) (a6989586621679274017 :: a) = a6989586621679274016 $! a6989586621679274017

type family (a6989586621679274016 :: (~>) a b) $!@#@$$$ (a6989586621679274017 :: a) :: b where ... infixr 0 Source #

Equations

a6989586621679274016 $!@#@$$$ a6989586621679274017 = ($!) a6989586621679274016 a6989586621679274017

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) (a6989586621679274088 :: a ~> b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (MapSym0 :: TyFun (a ~> b) ([a] ~> [b]) -> Type) (a6989586621679274088 :: a ~> b) = MapSym1 a6989586621679274088

data MapSym1 (a6989586621679274088 :: (~>) a b) :: (~>) [a] [b] Source #

Instances

Instances details

SingI d => SingI (MapSym1 d :: TyFun [a] [b] -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (MapSym1 d) #
SuppressUnusedWarnings (MapSym1 a6989586621679274088 :: TyFun [a] [b] -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (MapSym1 a6989586621679274088 :: TyFun [a] [b] -> Type) (a6989586621679274089 :: [a]) Source #
Instance details Defined in GHC.Base.Singletons type Apply (MapSym1 a6989586621679274088 :: TyFun [a] [b] -> Type) (a6989586621679274089 :: [a]) = Map a6989586621679274088 a6989586621679274089

type family MapSym2 (a6989586621679274088 :: (~>) a b) (a6989586621679274089 :: [a]) :: [b] where ... Source #

Equations

MapSym2 a6989586621679274088 a6989586621679274089 = Map a6989586621679274088 a6989586621679274089

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) (a6989586621679274079 :: [a]) Source #
Instance details Defined in GHC.Base.Singletons type Apply ((++@#@$) :: TyFun [a] ([a] ~> [a]) -> Type) (a6989586621679274079 :: [a]) = (++@#@$$) a6989586621679274079

data (++@#@$$) (a6989586621679274079 :: [a]) :: (~>) [a] [a] infixr 5 Source #

Instances

Instances details

SingI d => SingI ((++@#@$$) d :: TyFun [a] [a] -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing ((++@#@$$) d) #
SuppressUnusedWarnings ((++@#@$$) a6989586621679274079 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((++@#@$$) a6989586621679274079 :: TyFun [a] [a] -> Type) (a6989586621679274080 :: [a]) Source #
Instance details Defined in GHC.Base.Singletons type Apply ((++@#@$$) a6989586621679274079 :: TyFun [a] [a] -> Type) (a6989586621679274080 :: [a]) = a6989586621679274079 ++ a6989586621679274080

type family (a6989586621679274079 :: [a]) ++@#@$$$ (a6989586621679274080 :: [a]) :: [a] where ... infixr 5 Source #

Equations

a6989586621679274079 ++@#@$$$ a6989586621679274080 = (++) a6989586621679274079 a6989586621679274080

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) (a6989586621679814466 :: a ~> Bool) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (FilterSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) (a6989586621679814466 :: a ~> Bool) = FilterSym1 a6989586621679814466

data FilterSym1 (a6989586621679814466 :: (~>) 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 a6989586621679814466 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (FilterSym1 a6989586621679814466 :: TyFun [a] [a] -> Type) (a6989586621679814467 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (FilterSym1 a6989586621679814466 :: TyFun [a] [a] -> Type) (a6989586621679814467 :: [a]) = Filter a6989586621679814466 a6989586621679814467

type family FilterSym2 (a6989586621679814466 :: (~>) a Bool) (a6989586621679814467 :: [a]) :: [a] where ... Source #

Equations

FilterSym2 a6989586621679814466 a6989586621679814467 = Filter a6989586621679814466 a6989586621679814467

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) (a6989586621679815236 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (HeadSym0 :: TyFun [a] a -> Type) (a6989586621679815236 :: [a]) = Head a6989586621679815236

type family HeadSym1 (a6989586621679815236 :: [a]) :: a where ... Source #

Equations

HeadSym1 a6989586621679815236 = Head a6989586621679815236

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) (a6989586621679815230 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (LastSym0 :: TyFun [a] a -> Type) (a6989586621679815230 :: [a]) = Last a6989586621679815230

type family LastSym1 (a6989586621679815230 :: [a]) :: a where ... Source #

Equations

LastSym1 a6989586621679815230 = Last a6989586621679815230

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) (a6989586621679815226 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (TailSym0 :: TyFun [a] [a] -> Type) (a6989586621679815226 :: [a]) = Tail a6989586621679815226

type family TailSym1 (a6989586621679815226 :: [a]) :: [a] where ... Source #

Equations

TailSym1 a6989586621679815226 = Tail a6989586621679815226

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) (a6989586621679815214 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (InitSym0 :: TyFun [a] [a] -> Type) (a6989586621679815214 :: [a]) = Init a6989586621679815214

type family InitSym1 (a6989586621679815214 :: [a]) :: [a] where ... Source #

Equations

InitSym1 a6989586621679815214 = Init a6989586621679815214

data (!!@#@$) :: (~>) [a] ((~>) Nat a) infixl 9 Source #

Instances

Instances details

SingI ((!!@#@$) :: TyFun [a] (Nat ~> a) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing (!!@#@$) #
SuppressUnusedWarnings ((!!@#@$) :: TyFun [a] (Nat ~> a) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((!!@#@$) :: TyFun [a] (Nat ~> a) -> Type) (a6989586621679814074 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply ((!!@#@$) :: TyFun [a] (Nat ~> a) -> Type) (a6989586621679814074 :: [a]) = (!!@#@$$) a6989586621679814074

data (!!@#@$$) (a6989586621679814074 :: [a]) :: (~>) Nat a infixl 9 Source #

Instances

Instances details

SingI d => SingI ((!!@#@$$) d :: TyFun Nat a -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing ((!!@#@$$) d) #
SuppressUnusedWarnings ((!!@#@$$) a6989586621679814074 :: TyFun Nat a -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply ((!!@#@$$) a6989586621679814074 :: TyFun Nat a -> Type) (a6989586621679814075 :: Nat) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply ((!!@#@$$) a6989586621679814074 :: TyFun Nat a -> Type) (a6989586621679814075 :: Nat) = a6989586621679814074 !! a6989586621679814075

type family (a6989586621679814074 :: [a]) !!@#@$$$ (a6989586621679814075 :: Nat) :: a where ... infixl 9 Source #

Equations

a6989586621679814074 !!@#@$$$ a6989586621679814075 = (!!) a6989586621679814074 a6989586621679814075

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) (a6989586621680367324 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (NullSym0 :: TyFun (t a) Bool -> Type) (a6989586621680367324 :: t a) = Null a6989586621680367324

type family NullSym1 (a6989586621680367324 :: t a) :: Bool where ... Source #

Equations

NullSym1 a6989586621680367324 = Null a6989586621680367324

data LengthSym0 :: (~>) (t a) Nat Source #

Instances

Instances details

SFoldable t => SingI (LengthSym0 :: TyFun (t a) Nat -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods sing :: Sing LengthSym0 #
SuppressUnusedWarnings (LengthSym0 :: TyFun (t a) Nat -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (LengthSym0 :: TyFun (t a) Nat -> Type) (a6989586621680367327 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (LengthSym0 :: TyFun (t a) Nat -> Type) (a6989586621680367327 :: t a) = Length a6989586621680367327

type family LengthSym1 (a6989586621680367327 :: t a) :: Nat where ... Source #

Equations

LengthSym1 a6989586621680367327 = Length a6989586621680367327

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) (a6989586621679815199 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ReverseSym0 :: TyFun [a] [a] -> Type) (a6989586621679815199 :: [a]) = Reverse a6989586621679815199

type family ReverseSym1 (a6989586621679815199 :: [a]) :: [a] where ... Source #

Equations

ReverseSym1 a6989586621679815199 = Reverse a6989586621679815199

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) (a6989586621680367150 :: t Bool) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (AndSym0 :: TyFun (t Bool) Bool -> Type) (a6989586621680367150 :: t Bool) = And a6989586621680367150

type family AndSym1 (a6989586621680367150 :: t Bool) :: Bool where ... Source #

Equations

AndSym1 a6989586621680367150 = And a6989586621680367150

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) (a6989586621680367144 :: t Bool) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (OrSym0 :: TyFun (t Bool) Bool -> Type) (a6989586621680367144 :: t Bool) = Or a6989586621680367144

type family OrSym1 (a6989586621680367144 :: t Bool) :: Bool where ... Source #

Equations

OrSym1 a6989586621680367144 = Or a6989586621680367144

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) (a6989586621680367136 :: a ~> Bool) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (AnySym0 :: TyFun (a ~> Bool) (t a ~> Bool) -> Type) (a6989586621680367136 :: a ~> Bool) = AnySym1 a6989586621680367136 :: TyFun (t a) Bool -> Type

data AnySym1 (a6989586621680367136 :: (~>) a Bool) :: (~>) (t a) Bool Source #

Instances

Instances details

(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 a6989586621680367136 :: TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (AnySym1 a6989586621680367136 :: TyFun (t a) Bool -> Type) (a6989586621680367137 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (AnySym1 a6989586621680367136 :: TyFun (t a) Bool -> Type) (a6989586621680367137 :: t a) = Any a6989586621680367136 a6989586621680367137

type family AnySym2 (a6989586621680367136 :: (~>) a Bool) (a6989586621680367137 :: t a) :: Bool where ... Source #

Equations

AnySym2 a6989586621680367136 a6989586621680367137 = Any a6989586621680367136 a6989586621680367137

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) (a6989586621680367127 :: a ~> Bool) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (AllSym0 :: TyFun (a ~> Bool) (t a ~> Bool) -> Type) (a6989586621680367127 :: a ~> Bool) = AllSym1 a6989586621680367127 :: TyFun (t a) Bool -> Type

data AllSym1 (a6989586621680367127 :: (~>) a Bool) :: (~>) (t a) Bool Source #

Instances

Instances details

(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 a6989586621680367127 :: TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (AllSym1 a6989586621680367127 :: TyFun (t a) Bool -> Type) (a6989586621680367128 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (AllSym1 a6989586621680367127 :: TyFun (t a) Bool -> Type) (a6989586621680367128 :: t a) = All a6989586621680367127 a6989586621680367128

type family AllSym2 (a6989586621680367127 :: (~>) a Bool) (a6989586621680367128 :: t a) :: Bool where ... Source #

Equations

AllSym2 a6989586621680367127 a6989586621680367128 = All a6989586621680367127 a6989586621680367128

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) (a6989586621680367166 :: t [a]) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (ConcatSym0 :: TyFun (t [a]) [a] -> Type) (a6989586621680367166 :: t [a]) = Concat a6989586621680367166

type family ConcatSym1 (a6989586621680367166 :: t [a]) :: [a] where ... Source #

Equations

ConcatSym1 a6989586621680367166 = Concat a6989586621680367166

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) (a6989586621680367155 :: a ~> [b]) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (ConcatMapSym0 :: TyFun (a ~> [b]) (t a ~> [b]) -> Type) (a6989586621680367155 :: a ~> [b]) = ConcatMapSym1 a6989586621680367155 :: TyFun (t a) [b] -> Type

data ConcatMapSym1 (a6989586621680367155 :: (~>) a [b]) :: (~>) (t a) [b] Source #

Instances

Instances details

(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 a6989586621680367155 :: TyFun (t a) [b] -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ConcatMapSym1 a6989586621680367155 :: TyFun (t a) [b] -> Type) (a6989586621680367156 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (ConcatMapSym1 a6989586621680367155 :: TyFun (t a) [b] -> Type) (a6989586621680367156 :: t a) = ConcatMap a6989586621680367155 a6989586621680367156

type family ConcatMapSym2 (a6989586621680367155 :: (~>) a [b]) (a6989586621680367156 :: t a) :: [b] where ... Source #

Equations

ConcatMapSym2 a6989586621680367155 a6989586621680367156 = ConcatMap a6989586621680367155 a6989586621680367156

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) (a6989586621679815004 :: b ~> (a ~> b)) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ScanlSym0 :: TyFun (b ~> (a ~> b)) (b ~> ([a] ~> [b])) -> Type) (a6989586621679815004 :: b ~> (a ~> b)) = ScanlSym1 a6989586621679815004

data ScanlSym1 (a6989586621679815004 :: (~>) b ((~>) a b)) :: (~>) b ((~>) [a] [b]) Source #

Instances

Instances details

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 a6989586621679815004 :: TyFun b ([a] ~> [b]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ScanlSym1 a6989586621679815004 :: TyFun b ([a] ~> [b]) -> Type) (a6989586621679815005 :: b) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ScanlSym1 a6989586621679815004 :: TyFun b ([a] ~> [b]) -> Type) (a6989586621679815005 :: b) = ScanlSym2 a6989586621679815004 a6989586621679815005

data ScanlSym2 (a6989586621679815004 :: (~>) b ((~>) a b)) (a6989586621679815005 :: b) :: (~>) [a] [b] Source #

Instances

Instances details

(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 a6989586621679815004 a6989586621679815005 :: TyFun [a] [b] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ScanlSym2 a6989586621679815004 a6989586621679815005 :: TyFun [a] [b] -> Type) (a6989586621679815006 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ScanlSym2 a6989586621679815004 a6989586621679815005 :: TyFun [a] [b] -> Type) (a6989586621679815006 :: [a]) = Scanl a6989586621679815004 a6989586621679815005 a6989586621679815006

type family ScanlSym3 (a6989586621679815004 :: (~>) b ((~>) a b)) (a6989586621679815005 :: b) (a6989586621679815006 :: [a]) :: [b] where ... Source #

Equations

ScanlSym3 a6989586621679815004 a6989586621679815005 a6989586621679815006 = Scanl a6989586621679815004 a6989586621679815005 a6989586621679815006

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) (a6989586621679814995 :: a ~> (a ~> a)) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Scanl1Sym0 :: TyFun (a ~> (a ~> a)) ([a] ~> [a]) -> Type) (a6989586621679814995 :: a ~> (a ~> a)) = Scanl1Sym1 a6989586621679814995

data Scanl1Sym1 (a6989586621679814995 :: (~>) 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 a6989586621679814995 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (Scanl1Sym1 a6989586621679814995 :: TyFun [a] [a] -> Type) (a6989586621679814996 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Scanl1Sym1 a6989586621679814995 :: TyFun [a] [a] -> Type) (a6989586621679814996 :: [a]) = Scanl1 a6989586621679814995 a6989586621679814996

type family Scanl1Sym2 (a6989586621679814995 :: (~>) a ((~>) a a)) (a6989586621679814996 :: [a]) :: [a] where ... Source #

Equations

Scanl1Sym2 a6989586621679814995 a6989586621679814996 = Scanl1 a6989586621679814995 a6989586621679814996

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) (a6989586621679814977 :: a ~> (b ~> b)) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ScanrSym0 :: TyFun (a ~> (b ~> b)) (b ~> ([a] ~> [b])) -> Type) (a6989586621679814977 :: a ~> (b ~> b)) = ScanrSym1 a6989586621679814977

data ScanrSym1 (a6989586621679814977 :: (~>) a ((~>) b b)) :: (~>) b ((~>) [a] [b]) Source #

Instances

Instances details

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 a6989586621679814977 :: TyFun b ([a] ~> [b]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ScanrSym1 a6989586621679814977 :: TyFun b ([a] ~> [b]) -> Type) (a6989586621679814978 :: b) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ScanrSym1 a6989586621679814977 :: TyFun b ([a] ~> [b]) -> Type) (a6989586621679814978 :: b) = ScanrSym2 a6989586621679814977 a6989586621679814978

data ScanrSym2 (a6989586621679814977 :: (~>) a ((~>) b b)) (a6989586621679814978 :: b) :: (~>) [a] [b] Source #

Instances

Instances details

(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 a6989586621679814977 a6989586621679814978 :: TyFun [a] [b] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ScanrSym2 a6989586621679814977 a6989586621679814978 :: TyFun [a] [b] -> Type) (a6989586621679814979 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ScanrSym2 a6989586621679814977 a6989586621679814978 :: TyFun [a] [b] -> Type) (a6989586621679814979 :: [a]) = Scanr a6989586621679814977 a6989586621679814978 a6989586621679814979

type family ScanrSym3 (a6989586621679814977 :: (~>) a ((~>) b b)) (a6989586621679814978 :: b) (a6989586621679814979 :: [a]) :: [b] where ... Source #

Equations

ScanrSym3 a6989586621679814977 a6989586621679814978 a6989586621679814979 = Scanr a6989586621679814977 a6989586621679814978 a6989586621679814979

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) (a6989586621679814957 :: a ~> (a ~> a)) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Scanr1Sym0 :: TyFun (a ~> (a ~> a)) ([a] ~> [a]) -> Type) (a6989586621679814957 :: a ~> (a ~> a)) = Scanr1Sym1 a6989586621679814957

data Scanr1Sym1 (a6989586621679814957 :: (~>) 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 a6989586621679814957 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (Scanr1Sym1 a6989586621679814957 :: TyFun [a] [a] -> Type) (a6989586621679814958 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Scanr1Sym1 a6989586621679814957 :: TyFun [a] [a] -> Type) (a6989586621679814958 :: [a]) = Scanr1 a6989586621679814957 a6989586621679814958

type family Scanr1Sym2 (a6989586621679814957 :: (~>) a ((~>) a a)) (a6989586621679814958 :: [a]) :: [a] where ... Source #

Equations

Scanr1Sym2 a6989586621679814957 a6989586621679814958 = Scanr1 a6989586621679814957 a6989586621679814958

Infinite lists

data ReplicateSym0 :: (~>) Nat ((~>) a [a]) Source #

Instances

Instances details

SingI (ReplicateSym0 :: TyFun Nat (a ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing ReplicateSym0 #
SuppressUnusedWarnings (ReplicateSym0 :: TyFun Nat (a ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ReplicateSym0 :: TyFun Nat (a ~> [a]) -> Type) (a6989586621679814094 :: Nat) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ReplicateSym0 :: TyFun Nat (a ~> [a]) -> Type) (a6989586621679814094 :: Nat) = ReplicateSym1 a6989586621679814094 :: TyFun a [a] -> Type

data ReplicateSym1 (a6989586621679814094 :: Nat) :: (~>) a [a] Source #

Instances

Instances details

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 a6989586621679814094 :: TyFun a [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ReplicateSym1 a6989586621679814094 :: TyFun a [a] -> Type) (a6989586621679814095 :: a) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ReplicateSym1 a6989586621679814094 :: TyFun a [a] -> Type) (a6989586621679814095 :: a) = Replicate a6989586621679814094 a6989586621679814095

type family ReplicateSym2 (a6989586621679814094 :: Nat) (a6989586621679814095 :: a) :: [a] where ... Source #

Equations

ReplicateSym2 a6989586621679814094 a6989586621679814095 = Replicate a6989586621679814094 a6989586621679814095

Sublists

data TakeSym0 :: (~>) Nat ((~>) [a] [a]) Source #

Instances

Instances details

SingI (TakeSym0 :: TyFun Nat ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing TakeSym0 #
SuppressUnusedWarnings (TakeSym0 :: TyFun Nat ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (TakeSym0 :: TyFun Nat ([a] ~> [a]) -> Type) (a6989586621679814249 :: Nat) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (TakeSym0 :: TyFun Nat ([a] ~> [a]) -> Type) (a6989586621679814249 :: Nat) = TakeSym1 a6989586621679814249 :: TyFun [a] [a] -> Type

data TakeSym1 (a6989586621679814249 :: Nat) :: (~>) [a] [a] Source #

Instances

Instances details

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 a6989586621679814249 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (TakeSym1 a6989586621679814249 :: TyFun [a] [a] -> Type) (a6989586621679814250 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (TakeSym1 a6989586621679814249 :: TyFun [a] [a] -> Type) (a6989586621679814250 :: [a]) = Take a6989586621679814249 a6989586621679814250

type family TakeSym2 (a6989586621679814249 :: Nat) (a6989586621679814250 :: [a]) :: [a] where ... Source #

Equations

TakeSym2 a6989586621679814249 a6989586621679814250 = Take a6989586621679814249 a6989586621679814250

data DropSym0 :: (~>) Nat ((~>) [a] [a]) Source #

Instances

Instances details

SingI (DropSym0 :: TyFun Nat ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing DropSym0 #
SuppressUnusedWarnings (DropSym0 :: TyFun Nat ([a] ~> [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (DropSym0 :: TyFun Nat ([a] ~> [a]) -> Type) (a6989586621679814236 :: Nat) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (DropSym0 :: TyFun Nat ([a] ~> [a]) -> Type) (a6989586621679814236 :: Nat) = DropSym1 a6989586621679814236 :: TyFun [a] [a] -> Type

data DropSym1 (a6989586621679814236 :: Nat) :: (~>) [a] [a] Source #

Instances

Instances details

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 a6989586621679814236 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (DropSym1 a6989586621679814236 :: TyFun [a] [a] -> Type) (a6989586621679814237 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (DropSym1 a6989586621679814236 :: TyFun [a] [a] -> Type) (a6989586621679814237 :: [a]) = Drop a6989586621679814236 a6989586621679814237

type family DropSym2 (a6989586621679814236 :: Nat) (a6989586621679814237 :: [a]) :: [a] where ... Source #

Equations

DropSym2 a6989586621679814236 a6989586621679814237 = Drop a6989586621679814236 a6989586621679814237

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) (a6989586621679814366 :: a ~> Bool) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (TakeWhileSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) (a6989586621679814366 :: a ~> Bool) = TakeWhileSym1 a6989586621679814366

data TakeWhileSym1 (a6989586621679814366 :: (~>) 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 a6989586621679814366 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (TakeWhileSym1 a6989586621679814366 :: TyFun [a] [a] -> Type) (a6989586621679814367 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (TakeWhileSym1 a6989586621679814366 :: TyFun [a] [a] -> Type) (a6989586621679814367 :: [a]) = TakeWhile a6989586621679814366 a6989586621679814367

type family TakeWhileSym2 (a6989586621679814366 :: (~>) a Bool) (a6989586621679814367 :: [a]) :: [a] where ... Source #

Equations

TakeWhileSym2 a6989586621679814366 a6989586621679814367 = TakeWhile a6989586621679814366 a6989586621679814367

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) (a6989586621679814351 :: a ~> Bool) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (DropWhileSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) (a6989586621679814351 :: a ~> Bool) = DropWhileSym1 a6989586621679814351

data DropWhileSym1 (a6989586621679814351 :: (~>) 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 a6989586621679814351 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (DropWhileSym1 a6989586621679814351 :: TyFun [a] [a] -> Type) (a6989586621679814352 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (DropWhileSym1 a6989586621679814351 :: TyFun [a] [a] -> Type) (a6989586621679814352 :: [a]) = DropWhile a6989586621679814351 a6989586621679814352

type family DropWhileSym2 (a6989586621679814351 :: (~>) a Bool) (a6989586621679814352 :: [a]) :: [a] where ... Source #

Equations

DropWhileSym2 a6989586621679814351 a6989586621679814352 = DropWhile a6989586621679814351 a6989586621679814352

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) (a6989586621679814334 :: a ~> Bool) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (DropWhileEndSym0 :: TyFun (a ~> Bool) ([a] ~> [a]) -> Type) (a6989586621679814334 :: a ~> Bool) = DropWhileEndSym1 a6989586621679814334

data DropWhileEndSym1 (a6989586621679814334 :: (~>) 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 a6989586621679814334 :: TyFun [a] [a] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (DropWhileEndSym1 a6989586621679814334 :: TyFun [a] [a] -> Type) (a6989586621679814335 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (DropWhileEndSym1 a6989586621679814334 :: TyFun [a] [a] -> Type) (a6989586621679814335 :: [a]) = DropWhileEnd a6989586621679814334 a6989586621679814335

type family DropWhileEndSym2 (a6989586621679814334 :: (~>) a Bool) (a6989586621679814335 :: [a]) :: [a] where ... Source #

Equations

DropWhileEndSym2 a6989586621679814334 a6989586621679814335 = DropWhileEnd a6989586621679814334 a6989586621679814335

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) (a6989586621679814297 :: a ~> Bool) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (SpanSym0 :: TyFun (a ~> Bool) ([a] ~> ([a], [a])) -> Type) (a6989586621679814297 :: a ~> Bool) = SpanSym1 a6989586621679814297

data SpanSym1 (a6989586621679814297 :: (~>) 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 a6989586621679814297 :: TyFun [a] ([a], [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (SpanSym1 a6989586621679814297 :: TyFun [a] ([a], [a]) -> Type) (a6989586621679814298 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (SpanSym1 a6989586621679814297 :: TyFun [a] ([a], [a]) -> Type) (a6989586621679814298 :: [a]) = Span a6989586621679814297 a6989586621679814298

type family SpanSym2 (a6989586621679814297 :: (~>) a Bool) (a6989586621679814298 :: [a]) :: ([a], [a]) where ... Source #

Equations

SpanSym2 a6989586621679814297 a6989586621679814298 = Span a6989586621679814297 a6989586621679814298

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) (a6989586621679814262 :: a ~> Bool) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (BreakSym0 :: TyFun (a ~> Bool) ([a] ~> ([a], [a])) -> Type) (a6989586621679814262 :: a ~> Bool) = BreakSym1 a6989586621679814262

data BreakSym1 (a6989586621679814262 :: (~>) 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 a6989586621679814262 :: TyFun [a] ([a], [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (BreakSym1 a6989586621679814262 :: TyFun [a] ([a], [a]) -> Type) (a6989586621679814263 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (BreakSym1 a6989586621679814262 :: TyFun [a] ([a], [a]) -> Type) (a6989586621679814263 :: [a]) = Break a6989586621679814262 a6989586621679814263

type family BreakSym2 (a6989586621679814262 :: (~>) a Bool) (a6989586621679814263 :: [a]) :: ([a], [a]) where ... Source #

Equations

BreakSym2 a6989586621679814262 a6989586621679814263 = Break a6989586621679814262 a6989586621679814263

data SplitAtSym0 :: (~>) Nat ((~>) [a] ([a], [a])) Source #

Instances

Instances details

SingI (SplitAtSym0 :: TyFun Nat ([a] ~> ([a], [a])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing SplitAtSym0 #
SuppressUnusedWarnings (SplitAtSym0 :: TyFun Nat ([a] ~> ([a], [a])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (SplitAtSym0 :: TyFun Nat ([a] ~> ([a], [a])) -> Type) (a6989586621679814229 :: Nat) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (SplitAtSym0 :: TyFun Nat ([a] ~> ([a], [a])) -> Type) (a6989586621679814229 :: Nat) = SplitAtSym1 a6989586621679814229 :: TyFun [a] ([a], [a]) -> Type

data SplitAtSym1 (a6989586621679814229 :: Nat) :: (~>) [a] ([a], [a]) Source #

Instances

Instances details

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 a6989586621679814229 :: TyFun [a] ([a], [a]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (SplitAtSym1 a6989586621679814229 :: TyFun [a] ([a], [a]) -> Type) (a6989586621679814230 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (SplitAtSym1 a6989586621679814229 :: TyFun [a] ([a], [a]) -> Type) (a6989586621679814230 :: [a]) = SplitAt a6989586621679814229 a6989586621679814230

type family SplitAtSym2 (a6989586621679814229 :: Nat) (a6989586621679814230 :: [a]) :: ([a], [a]) where ... Source #

Equations

SplitAtSym2 a6989586621679814229 a6989586621679814230 = SplitAt a6989586621679814229 a6989586621679814230

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) (a6989586621680367078 :: a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (NotElemSym0 :: TyFun a (t a ~> Bool) -> Type) (a6989586621680367078 :: a) = NotElemSym1 a6989586621680367078 :: TyFun (t a) Bool -> Type

data NotElemSym1 (a6989586621680367078 :: a) :: (~>) (t a) Bool Source #

Instances

Instances details

(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 a6989586621680367078 :: TyFun (t a) Bool -> Type) Source #
Instance details Defined in Data.Foldable.Singletons Methods suppressUnusedWarnings :: () #
type Apply (NotElemSym1 a6989586621680367078 :: TyFun (t a) Bool -> Type) (a6989586621680367079 :: t a) Source #
Instance details Defined in Data.Foldable.Singletons type Apply (NotElemSym1 a6989586621680367078 :: TyFun (t a) Bool -> Type) (a6989586621680367079 :: t a) = NotElem a6989586621680367078 a6989586621680367079

type family NotElemSym2 (a6989586621680367078 :: a) (a6989586621680367079 :: t a) :: Bool where ... Source #

Equations

NotElemSym2 a6989586621680367078 a6989586621680367079 = NotElem a6989586621680367078 a6989586621680367079

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) (a6989586621679814157 :: a) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (LookupSym0 :: TyFun a ([(a, b)] ~> Maybe b) -> Type) (a6989586621679814157 :: a) = LookupSym1 a6989586621679814157 :: TyFun [(a, b)] (Maybe b) -> Type

data LookupSym1 (a6989586621679814157 :: a) :: (~>) [(a, b)] (Maybe b) Source #

Instances

Instances details

(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 a6989586621679814157 :: TyFun [(a, b)] (Maybe b) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (LookupSym1 a6989586621679814157 :: TyFun [(a, b)] (Maybe b) -> Type) (a6989586621679814158 :: [(a, b)]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (LookupSym1 a6989586621679814157 :: TyFun [(a, b)] (Maybe b) -> Type) (a6989586621679814158 :: [(a, b)]) = Lookup a6989586621679814157 a6989586621679814158

type family LookupSym2 (a6989586621679814157 :: a) (a6989586621679814158 :: [(a, b)]) :: Maybe b where ... Source #

Equations

LookupSym2 a6989586621679814157 a6989586621679814158 = Lookup a6989586621679814157 a6989586621679814158

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) (a6989586621679814784 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipSym0 :: TyFun [a] ([b] ~> [(a, b)]) -> Type) (a6989586621679814784 :: [a]) = ZipSym1 a6989586621679814784 :: TyFun [b] [(a, b)] -> Type

data ZipSym1 (a6989586621679814784 :: [a]) :: (~>) [b] [(a, b)] Source #

Instances

Instances details

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 a6989586621679814784 :: TyFun [b] [(a, b)] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipSym1 a6989586621679814784 :: TyFun [b] [(a, b)] -> Type) (a6989586621679814785 :: [b]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipSym1 a6989586621679814784 :: TyFun [b] [(a, b)] -> Type) (a6989586621679814785 :: [b]) = Zip a6989586621679814784 a6989586621679814785

type family ZipSym2 (a6989586621679814784 :: [a]) (a6989586621679814785 :: [b]) :: [(a, b)] where ... Source #

Equations

ZipSym2 a6989586621679814784 a6989586621679814785 = Zip a6989586621679814784 a6989586621679814785

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) (a6989586621679814772 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Zip3Sym0 :: TyFun [a] ([b] ~> ([c] ~> [(a, b, c)])) -> Type) (a6989586621679814772 :: [a]) = Zip3Sym1 a6989586621679814772 :: TyFun [b] ([c] ~> [(a, b, c)]) -> Type

data Zip3Sym1 (a6989586621679814772 :: [a]) :: (~>) [b] ((~>) [c] [(a, b, c)]) Source #

Instances

Instances details

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 a6989586621679814772 :: TyFun [b] ([c] ~> [(a, b, c)]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (Zip3Sym1 a6989586621679814772 :: TyFun [b] ([c] ~> [(a, b, c)]) -> Type) (a6989586621679814773 :: [b]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Zip3Sym1 a6989586621679814772 :: TyFun [b] ([c] ~> [(a, b, c)]) -> Type) (a6989586621679814773 :: [b]) = Zip3Sym2 a6989586621679814772 a6989586621679814773 :: TyFun [c] [(a, b, c)] -> Type

data Zip3Sym2 (a6989586621679814772 :: [a]) (a6989586621679814773 :: [b]) :: (~>) [c] [(a, b, c)] Source #

Instances

Instances details

(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 a6989586621679814772 a6989586621679814773 :: TyFun [c] [(a, b, c)] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (Zip3Sym2 a6989586621679814772 a6989586621679814773 :: TyFun [c] [(a, b, c)] -> Type) (a6989586621679814774 :: [c]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Zip3Sym2 a6989586621679814772 a6989586621679814773 :: TyFun [c] [(a, b, c)] -> Type) (a6989586621679814774 :: [c]) = Zip3 a6989586621679814772 a6989586621679814773 a6989586621679814774

type family Zip3Sym3 (a6989586621679814772 :: [a]) (a6989586621679814773 :: [b]) (a6989586621679814774 :: [c]) :: [(a, b, c)] where ... Source #

Equations

Zip3Sym3 a6989586621679814772 a6989586621679814773 a6989586621679814774 = Zip3 a6989586621679814772 a6989586621679814773 a6989586621679814774

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) (a6989586621679814760 :: a ~> (b ~> c)) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipWithSym0 :: TyFun (a ~> (b ~> c)) ([a] ~> ([b] ~> [c])) -> Type) (a6989586621679814760 :: a ~> (b ~> c)) = ZipWithSym1 a6989586621679814760

data ZipWithSym1 (a6989586621679814760 :: (~>) a ((~>) b c)) :: (~>) [a] ((~>) [b] [c]) Source #

Instances

Instances details

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 a6989586621679814760 :: TyFun [a] ([b] ~> [c]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipWithSym1 a6989586621679814760 :: TyFun [a] ([b] ~> [c]) -> Type) (a6989586621679814761 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipWithSym1 a6989586621679814760 :: TyFun [a] ([b] ~> [c]) -> Type) (a6989586621679814761 :: [a]) = ZipWithSym2 a6989586621679814760 a6989586621679814761

data ZipWithSym2 (a6989586621679814760 :: (~>) a ((~>) b c)) (a6989586621679814761 :: [a]) :: (~>) [b] [c] Source #

Instances

Instances details

(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 a6989586621679814760 a6989586621679814761 :: TyFun [b] [c] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipWithSym2 a6989586621679814760 a6989586621679814761 :: TyFun [b] [c] -> Type) (a6989586621679814762 :: [b]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipWithSym2 a6989586621679814760 a6989586621679814761 :: TyFun [b] [c] -> Type) (a6989586621679814762 :: [b]) = ZipWith a6989586621679814760 a6989586621679814761 a6989586621679814762

type family ZipWithSym3 (a6989586621679814760 :: (~>) a ((~>) b c)) (a6989586621679814761 :: [a]) (a6989586621679814762 :: [b]) :: [c] where ... Source #

Equations

ZipWithSym3 a6989586621679814760 a6989586621679814761 a6989586621679814762 = ZipWith a6989586621679814760 a6989586621679814761 a6989586621679814762

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) (a6989586621679814745 :: 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) (a6989586621679814745 :: a ~> (b ~> (c ~> d))) = ZipWith3Sym1 a6989586621679814745

data ZipWith3Sym1 (a6989586621679814745 :: (~>) a ((~>) b ((~>) c d))) :: (~>) [a] ((~>) [b] ((~>) [c] [d])) Source #

Instances

Instances details

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 a6989586621679814745 :: TyFun [a] ([b] ~> ([c] ~> [d])) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipWith3Sym1 a6989586621679814745 :: TyFun [a] ([b] ~> ([c] ~> [d])) -> Type) (a6989586621679814746 :: [a]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipWith3Sym1 a6989586621679814745 :: TyFun [a] ([b] ~> ([c] ~> [d])) -> Type) (a6989586621679814746 :: [a]) = ZipWith3Sym2 a6989586621679814745 a6989586621679814746

data ZipWith3Sym2 (a6989586621679814745 :: (~>) a ((~>) b ((~>) c d))) (a6989586621679814746 :: [a]) :: (~>) [b] ((~>) [c] [d]) Source #

Instances

Instances details

(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 a6989586621679814745 a6989586621679814746 :: TyFun [b] ([c] ~> [d]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipWith3Sym2 a6989586621679814745 a6989586621679814746 :: TyFun [b] ([c] ~> [d]) -> Type) (a6989586621679814747 :: [b]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipWith3Sym2 a6989586621679814745 a6989586621679814746 :: TyFun [b] ([c] ~> [d]) -> Type) (a6989586621679814747 :: [b]) = ZipWith3Sym3 a6989586621679814745 a6989586621679814746 a6989586621679814747

data ZipWith3Sym3 (a6989586621679814745 :: (~>) a ((~>) b ((~>) c d))) (a6989586621679814746 :: [a]) (a6989586621679814747 :: [b]) :: (~>) [c] [d] Source #

Instances

Instances details

(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 a6989586621679814745 a6989586621679814746 a6989586621679814747 :: TyFun [c] [d] -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (ZipWith3Sym3 a6989586621679814745 a6989586621679814746 a6989586621679814747 :: TyFun [c] [d] -> Type) (a6989586621679814748 :: [c]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (ZipWith3Sym3 a6989586621679814745 a6989586621679814746 a6989586621679814747 :: TyFun [c] [d] -> Type) (a6989586621679814748 :: [c]) = ZipWith3 a6989586621679814745 a6989586621679814746 a6989586621679814747 a6989586621679814748

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

Instances

Instances details

SingI (UnzipSym0 :: TyFun [(a, b)] ([a], [b]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing UnzipSym0 #
SuppressUnusedWarnings (UnzipSym0 :: TyFun [(a, b)] ([a], [b]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (UnzipSym0 :: TyFun [(a, b)] ([a], [b]) -> Type) (a6989586621679814726 :: [(a, b)]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (UnzipSym0 :: TyFun [(a, b)] ([a], [b]) -> Type) (a6989586621679814726 :: [(a, b)]) = Unzip a6989586621679814726

type family UnzipSym1 (a6989586621679814726 :: [(a, b)]) :: ([a], [b]) where ... Source #

Equations

UnzipSym1 a6989586621679814726 = Unzip a6989586621679814726

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

Instances

Instances details

SingI (Unzip3Sym0 :: TyFun [(a, b, c)] ([a], [b], [c]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing Unzip3Sym0 #
SuppressUnusedWarnings (Unzip3Sym0 :: TyFun [(a, b, c)] ([a], [b], [c]) -> Type) Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply (Unzip3Sym0 :: TyFun [(a, b, c)] ([a], [b], [c]) -> Type) (a6989586621679814708 :: [(a, b, c)]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply (Unzip3Sym0 :: TyFun [(a, b, c)] ([a], [b], [c]) -> Type) (a6989586621679814708 :: [(a, b, c)]) = Unzip3 a6989586621679814708

type family Unzip3Sym1 (a6989586621679814708 :: [(a, b, c)]) :: ([a], [b], [c]) where ... Source #

Equations

Unzip3Sym1 a6989586621679814708 = Unzip3 a6989586621679814708

Functions on `Symbol`s

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

Instances

Instances details

SingI UnlinesSym0 Source #
Instance details Defined in Data.List.Singletons.Internal Methods sing :: Sing UnlinesSym0 #
SuppressUnusedWarnings UnlinesSym0 Source #
Instance details Defined in Data.List.Singletons.Internal Methods suppressUnusedWarnings :: () #
type Apply UnlinesSym0 (a6989586621679814611 :: [Symbol]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply UnlinesSym0 (a6989586621679814611 :: [Symbol]) = Unlines a6989586621679814611

type family UnlinesSym1 (a6989586621679814611 :: [Symbol]) :: Symbol where ... Source #

Equations

UnlinesSym1 a6989586621679814611 = Unlines a6989586621679814611

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 (a6989586621679814601 :: [Symbol]) Source #
Instance details Defined in Data.List.Singletons.Internal type Apply UnwordsSym0 (a6989586621679814601 :: [Symbol]) = Unwords a6989586621679814601

type family UnwordsSym1 (a6989586621679814601 :: [Symbol]) :: Symbol where ... Source #

Equations

UnwordsSym1 a6989586621679814601 = Unwords a6989586621679814601

Converting to and from `Symbol`

Converting to `Symbol`

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

Instances

Instances details

SShow a => SingI (ShowsPrecSym0 :: TyFun Nat (a ~> (Symbol ~> Symbol)) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing ShowsPrecSym0 #
SuppressUnusedWarnings (ShowsPrecSym0 :: TyFun Nat (a ~> (Symbol ~> Symbol)) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowsPrecSym0 :: TyFun Nat (a ~> (Symbol ~> Symbol)) -> Type) (a6989586621680196507 :: Nat) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsPrecSym0 :: TyFun Nat (a ~> (Symbol ~> Symbol)) -> Type) (a6989586621680196507 :: Nat) = ShowsPrecSym1 a6989586621680196507 :: TyFun a (Symbol ~> Symbol) -> Type

data ShowsPrecSym1 (a6989586621680196507 :: Nat) :: (~>) a ((~>) Symbol Symbol) Source #

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Instances details

(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 a6989586621680196507 :: TyFun a (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowsPrecSym1 a6989586621680196507 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621680196508 :: a) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsPrecSym1 a6989586621680196507 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621680196508 :: a) = ShowsPrecSym2 a6989586621680196507 a6989586621680196508

data ShowsPrecSym2 (a6989586621680196507 :: Nat) (a6989586621680196508 :: a) :: (~>) Symbol Symbol Source #

Instances

Instances details

(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 a6989586621680196507 a6989586621680196508 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowsPrecSym2 a6989586621680196507 a6989586621680196508 :: TyFun Symbol Symbol -> Type) (a6989586621680196509 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsPrecSym2 a6989586621680196507 a6989586621680196508 :: TyFun Symbol Symbol -> Type) (a6989586621680196509 :: Symbol) = ShowsPrec a6989586621680196507 a6989586621680196508 a6989586621680196509

type family ShowsPrecSym3 (a6989586621680196507 :: Nat) (a6989586621680196508 :: a) (a6989586621680196509 :: Symbol) :: Symbol where ... Source #

Equations

ShowsPrecSym3 a6989586621680196507 a6989586621680196508 a6989586621680196509 = ShowsPrec a6989586621680196507 a6989586621680196508 a6989586621680196509

data ShowListSym0 :: (~>) [a] ((~>) Symbol Symbol) Source #

Instances

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) (a6989586621680196516 :: [a]) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowListSym0 :: TyFun [a] (Symbol ~> Symbol) -> Type) (a6989586621680196516 :: [a]) = ShowListSym1 a6989586621680196516

data ShowListSym1 (a6989586621680196516 :: [a]) :: (~>) Symbol Symbol Source #

Instances

Instances details

(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 a6989586621680196516 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowListSym1 a6989586621680196516 :: TyFun Symbol Symbol -> Type) (a6989586621680196517 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowListSym1 a6989586621680196516 :: TyFun Symbol Symbol -> Type) (a6989586621680196517 :: Symbol) = ShowList a6989586621680196516 a6989586621680196517

type family ShowListSym2 (a6989586621680196516 :: [a]) (a6989586621680196517 :: Symbol) :: Symbol where ... Source #

Equations

ShowListSym2 a6989586621680196516 a6989586621680196517 = ShowList a6989586621680196516 a6989586621680196517

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) (a6989586621680196512 :: a) Source #
Instance details Defined in Text.Show.Singletons type Apply (Show_Sym0 :: TyFun a Symbol -> Type) (a6989586621680196512 :: a) = Show_ a6989586621680196512

type family Show_Sym1 (a6989586621680196512 :: a) :: Symbol where ... Source #

Equations

Show_Sym1 a6989586621680196512 = Show_ a6989586621680196512

data ShowsSym0 :: (~>) a ((~>) Symbol Symbol) Source #

Instances

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) (a6989586621680196499 :: a) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsSym0 :: TyFun a (Symbol ~> Symbol) -> Type) (a6989586621680196499 :: a) = ShowsSym1 a6989586621680196499

data ShowsSym1 (a6989586621680196499 :: a) :: (~>) Symbol Symbol Source #

Instances

Instances details

(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 a6989586621680196499 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowsSym1 a6989586621680196499 :: TyFun Symbol Symbol -> Type) (a6989586621680196500 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowsSym1 a6989586621680196499 :: TyFun Symbol Symbol -> Type) (a6989586621680196500 :: Symbol) = Shows a6989586621680196499 a6989586621680196500

type family ShowsSym2 (a6989586621680196499 :: a) (a6989586621680196500 :: Symbol) :: Symbol where ... Source #

Equations

ShowsSym2 a6989586621680196499 a6989586621680196500 = Shows a6989586621680196499 a6989586621680196500

data ShowCharSym0 :: (~>) Symbol ((~>) Symbol Symbol) Source #

Instances

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 (a6989586621680196473 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply ShowCharSym0 (a6989586621680196473 :: Symbol) = ShowCharSym1 a6989586621680196473

data ShowCharSym1 (a6989586621680196473 :: Symbol) :: (~>) Symbol Symbol Source #

Instances

Instances details

SingI d => SingI (ShowCharSym1 d :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowCharSym1 d) #
SuppressUnusedWarnings (ShowCharSym1 a6989586621680196473 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowCharSym1 a6989586621680196473 :: TyFun Symbol Symbol -> Type) (a6989586621680196474 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowCharSym1 a6989586621680196473 :: TyFun Symbol Symbol -> Type) (a6989586621680196474 :: Symbol) = ShowChar a6989586621680196473 a6989586621680196474

type family ShowCharSym2 (a6989586621680196473 :: Symbol) (a6989586621680196474 :: Symbol) :: Symbol where ... Source #

Equations

ShowCharSym2 a6989586621680196473 a6989586621680196474 = ShowChar a6989586621680196473 a6989586621680196474

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 (a6989586621680196462 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply ShowStringSym0 (a6989586621680196462 :: Symbol) = ShowStringSym1 a6989586621680196462

data ShowStringSym1 (a6989586621680196462 :: Symbol) :: (~>) Symbol Symbol Source #

Instances

Instances details

SingI d => SingI (ShowStringSym1 d :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods sing :: Sing (ShowStringSym1 d) #
SuppressUnusedWarnings (ShowStringSym1 a6989586621680196462 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowStringSym1 a6989586621680196462 :: TyFun Symbol Symbol -> Type) (a6989586621680196463 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowStringSym1 a6989586621680196462 :: TyFun Symbol Symbol -> Type) (a6989586621680196463 :: Symbol) = ShowString a6989586621680196462 a6989586621680196463

type family ShowStringSym2 (a6989586621680196462 :: Symbol) (a6989586621680196463 :: Symbol) :: Symbol where ... Source #

Equations

ShowStringSym2 a6989586621680196462 a6989586621680196463 = ShowString a6989586621680196462 a6989586621680196463

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 (a6989586621680196446 :: Bool) Source #
Instance details Defined in Text.Show.Singletons type Apply ShowParenSym0 (a6989586621680196446 :: Bool) = ShowParenSym1 a6989586621680196446

data ShowParenSym1 (a6989586621680196446 :: Bool) :: (~>) ((~>) Symbol Symbol) ((~>) Symbol Symbol) Source #

Instances

Instances details

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 a6989586621680196446 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowParenSym1 a6989586621680196446 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) (a6989586621680196447 :: Symbol ~> Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowParenSym1 a6989586621680196446 :: TyFun (Symbol ~> Symbol) (Symbol ~> Symbol) -> Type) (a6989586621680196447 :: Symbol ~> Symbol) = ShowParenSym2 a6989586621680196446 a6989586621680196447

data ShowParenSym2 (a6989586621680196446 :: Bool) (a6989586621680196447 :: (~>) Symbol Symbol) :: (~>) Symbol Symbol Source #

Instances

Instances details

(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 a6989586621680196446 a6989586621680196447 :: TyFun Symbol Symbol -> Type) Source #
Instance details Defined in Text.Show.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ShowParenSym2 a6989586621680196446 a6989586621680196447 :: TyFun Symbol Symbol -> Type) (a6989586621680196448 :: Symbol) Source #
Instance details Defined in Text.Show.Singletons type Apply (ShowParenSym2 a6989586621680196446 a6989586621680196447 :: TyFun Symbol Symbol -> Type) (a6989586621680196448 :: Symbol) = ShowParen a6989586621680196446 a6989586621680196447 a6989586621680196448

'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`