Copyright	(C) 2018 Ryan Scott
License	BSD-style (see LICENSE)
Maintainer	Richard Eisenberg (rae@cs.brynmawr.edu)
Stability	experimental
Portability	non-portable
Safe Haskell	None
Language	Haskell2010

Data.Singletons.Prelude.Identity

Contents

The Identity singleton
Defunctionalization symbols
Orphan instances

Description

Exports the promoted and singled versions of the Identity data type.

Synopsis

data family Sing :: k -> Type
type SIdentity = (Sing :: Identity a -> Type)
type family RunIdentity (a :: Identity a) :: a where ...
data IdentitySym0 :: forall (a6989586621679087254 :: Type). (~>) a6989586621679087254 (Identity (a6989586621679087254 :: Type))
type IdentitySym1 (t6989586621679312928 :: a6989586621679087254) = Identity t6989586621679312928
data RunIdentitySym0 :: forall a6989586621679087254. (~>) (Identity a6989586621679087254) a6989586621679087254
type RunIdentitySym1 (a6989586621679312925 :: Identity a6989586621679087254) = RunIdentity a6989586621679312925

The `Identity` singleton

data family Sing :: k -> Type #

The singleton kind-indexed data family.

Instances

SDecide k => TestCoercion (Sing :: k -> Type) #
Instance details Defined in Data.Singletons.Decide Methods testCoercion :: Sing a -> Sing b -> Maybe (Coercion a b) #
SDecide k => TestEquality (Sing :: k -> Type) #
Instance details Defined in Data.Singletons.Decide Methods testEquality :: Sing a -> Sing b -> Maybe (a :~: b) #
Show (SSymbol s) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> SSymbol s -> ShowS # show :: SSymbol s -> String # showList :: [SSymbol s] -> ShowS #
Show (SNat n) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> SNat n -> ShowS # show :: SNat n -> String # showList :: [SNat n] -> ShowS #
Eq (Sing a) #
Instance details Defined in Data.Singletons.TypeRepTYPE Methods (==) :: Sing a -> Sing a -> Bool # (/=) :: Sing a -> Sing a -> Bool #
Ord (Sing a) #
Instance details Defined in Data.Singletons.TypeRepTYPE Methods compare :: Sing a -> Sing a -> Ordering # (<) :: Sing a -> Sing a -> Bool # (<=) :: Sing a -> Sing a -> Bool # (>) :: Sing a -> Sing a -> Bool # (>=) :: Sing a -> Sing a -> Bool # max :: Sing a -> Sing a -> Sing a # min :: Sing a -> Sing a -> Sing a #
Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing [a]) => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b) => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
Show (Sing a) #
Instance details Defined in Data.Singletons.TypeRepTYPE Methods showsPrec :: Int -> Sing a -> ShowS # show :: Sing a -> String # showList :: [Sing a] -> ShowS #
Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b) => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b, ShowSing c) => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d) => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e) => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e, ShowSing f) => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e, ShowSing f, ShowSing g) => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b) => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing m => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing (Maybe a) => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing (Maybe a) => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing (Maybe a) => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing Bool => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing Bool => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing [a]) => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
data Sing (a :: Bool) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (a :: Bool) where SFalse :: forall (a :: Bool). Sing False STrue :: forall (a :: Bool). Sing True
data Sing (a :: Ordering) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (a :: Ordering) where SLT :: forall (a :: Ordering). Sing LT SEQ :: forall (a :: Ordering). Sing EQ SGT :: forall (a :: Ordering). Sing GT
data Sing (n :: Nat) #
Instance details Defined in Data.Singletons.TypeLits.Internal data Sing (n :: Nat) where SNat :: forall (n :: Nat). KnownNat n => Sing n
data Sing (n :: Symbol) #
Instance details Defined in Data.Singletons.TypeLits.Internal data Sing (n :: Symbol) where SSym :: forall (n :: Symbol). KnownSymbol n => Sing n
data Sing (a :: ()) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (a :: ()) where STuple0 :: forall (a :: ()). Sing ()
data Sing (a :: Void) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (a :: Void)
data Sing (a :: All) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (a :: All) where SAll :: forall (a :: All) (n :: Bool). {..} -> Sing (All n)
data Sing (a :: Any) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (a :: Any) where SAny :: forall (a :: Any) (n :: Bool). {..} -> Sing (Any n)
data Sing (a :: PErrorMessage) #
Instance details Defined in Data.Singletons.TypeError data Sing (a :: PErrorMessage) where SText :: forall (a :: PErrorMessage) (t :: Symbol). Sing t -> Sing (Text t) SShowType :: forall (a :: PErrorMessage) t (ty :: t). Sing ty -> Sing (ShowType ty :: ErrorMessage' Symbol) (:%<>:) :: forall (a :: PErrorMessage) (e1 :: ErrorMessage' Symbol) (e2 :: ErrorMessage' Symbol). Sing e1 -> Sing e2 -> Sing (e1 :<>: e2) (:%$$:) :: forall (a :: PErrorMessage) (e1 :: ErrorMessage' Symbol) (e2 :: ErrorMessage' Symbol). Sing e1 -> Sing e2 -> Sing (e1 :$$: e2)
data Sing (b :: [a]) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (b :: [a]) where SNil :: forall k (b :: [k]). Sing ([] :: [k]) SCons :: forall a (b :: [a]) (n :: a) (n :: [a]). Sing n -> Sing n -> Sing (n ': n)
data Sing (b :: Maybe a) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (b :: Maybe a) where SNothing :: forall a (b :: Maybe a). Sing (Nothing :: Maybe a) SJust :: forall a (b :: Maybe a) (n :: a). Sing n -> Sing (Just n)
newtype Sing (a :: TYPE rep) #	A choice of singleton for the kind `TYPE rep` (for some `RuntimeRep` `rep`), an instantiation of which is the famous kind `Type`. Conceivably, one could generalize this instance to `Sing :: k -> Type` for any kind `k`, and remove all other `Sing` instances. We don't adopt this design, however, since it is far more convenient in practice to work with explicit singleton values than `TypeRep`s (for instance, `TypeRep`s are more difficult to pattern match on, and require extra runtime checks). We cannot produce explicit singleton values for everything in `TYPE rep`, however, since it is an open kind, so we reach for `TypeRep` in this one particular case.
Instance details Defined in Data.Singletons.TypeRepTYPE newtype Sing (a :: TYPE rep) = STypeRep (TypeRep a)
data Sing (b :: Min a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Min a) where SMin :: forall a (b :: Min a) (n :: a). {..} -> Sing (Min n)
data Sing (b :: Max a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Max a) where SMax :: forall a (b :: Max a) (n :: a). {..} -> Sing (Max n)
data Sing (b :: First a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: First a) where SFirst :: forall a (b :: First a) (n :: a). {..} -> Sing (First n)
data Sing (b :: Last a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Last a) where SLast :: forall a (b :: Last a) (n :: a). {..} -> Sing (Last n)
data Sing (a :: WrappedMonoid m) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (a :: WrappedMonoid m) where SWrapMonoid :: forall m (a :: WrappedMonoid m) (n :: m). {..} -> Sing (WrapMonoid n)
data Sing (b :: Option a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Option a) where SOption :: forall a (b :: Option a) (n :: Maybe a). {..} -> Sing (Option n)
data Sing (b :: Identity a) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (b :: Identity a) where SIdentity :: forall a (b :: Identity a) (n :: a). {..} -> Sing (Identity n)
data Sing (b :: First a) #
Instance details Defined in Data.Singletons.Prelude.Monoid data Sing (b :: First a) where SFirst :: forall a (b :: First a) (n :: Maybe a). {..} -> Sing (First n)
data Sing (b :: Last a) #
Instance details Defined in Data.Singletons.Prelude.Monoid data Sing (b :: Last a) where SLast :: forall a (b :: Last a) (n :: Maybe a). {..} -> Sing (Last n)
data Sing (b :: Dual a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Dual a) where SDual :: forall a (b :: Dual a) (n :: a). {..} -> Sing (Dual n)
data Sing (b :: Sum a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Sum a) where SSum :: forall a (b :: Sum a) (n :: a). {..} -> Sing (Sum n)
data Sing (b :: Product a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Product a) where SProduct :: forall a (b :: Product a) (n :: a). {..} -> Sing (Product n)
data Sing (b :: Down a) #
Instance details Defined in Data.Singletons.Prelude.Ord data Sing (b :: Down a) where SDown :: forall a (b :: Down a) (n :: a). Sing n -> Sing (Down n)
data Sing (b :: NonEmpty a) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (b :: NonEmpty a) where (:%\|) :: forall a (b :: NonEmpty a) (n :: a) (n :: [a]). Sing n -> Sing n -> Sing (n :\| n)
data Sing (c :: Either a b) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (c :: Either a b) where SLeft :: forall a b (c :: Either a b) (n :: a). Sing n -> Sing (Left n :: Either a b) SRight :: forall a b (c :: Either a b) (n :: b). Sing n -> Sing (Right n :: Either a b)
data Sing (c :: (a, b)) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (c :: (a, b)) where STuple2 :: forall a b (c :: (a, b)) (n :: a) (n :: b). Sing n -> Sing n -> Sing ((,) n n)
data Sing (c :: Arg a b) #
Instance details Defined in Data.Singletons.Prelude.Semigroup data Sing (c :: Arg a b) where SArg :: forall a b (c :: Arg a b) (n :: a) (n :: b). Sing n -> Sing n -> Sing (Arg n n)
newtype Sing (f :: k1 ~> k2) #
Instance details Defined in Data.Singletons.Internal newtype Sing (f :: k1 ~> k2) = SLambda { applySing :: forall (t :: k1). Sing t -> Sing (f @@ t) }
data Sing (d :: (a, b, c)) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (d :: (a, b, c)) where STuple3 :: forall a b c (d :: (a, b, c)) (n :: a) (n :: b) (n :: c). Sing n -> Sing n -> Sing n -> Sing ((,,) n n n)
data Sing (c :: Const a b) #
Instance details Defined in Data.Singletons.Prelude.Const data Sing (c :: Const a b) where SConst :: forall k a (b :: k) (c :: Const a b) (a :: a). {..} -> Sing (Const a :: Const a b)
data Sing (e :: (a, b, c, d)) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (e :: (a, b, c, d)) where STuple4 :: forall a b c d (e :: (a, b, c, d)) (n :: a) (n :: b) (n :: c) (n :: d). Sing n -> Sing n -> Sing n -> Sing n -> Sing ((,,,) n n n n)
data Sing (f :: (a, b, c, d, e)) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (f :: (a, b, c, d, e)) where STuple5 :: forall a b c d e (f :: (a, b, c, d, e)) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e). Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing ((,,,,) n n n n n)
data Sing (g :: (a, b, c, d, e, f)) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (g :: (a, b, c, d, e, f)) where STuple6 :: forall a b c d e f (g :: (a, b, c, d, e, f)) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e) (n :: f). Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing ((,,,,,) n n n n n n)
data Sing (h :: (a, b, c, d, e, f, g)) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (h :: (a, b, c, d, e, f, g)) where STuple7 :: forall a b c d e f g (h :: (a, b, c, d, e, f, g)) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e) (n :: f) (n :: g). Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing ((,,,,,,) n n n n n n n)

type SIdentity = (Sing :: Identity a -> Type) #

type family RunIdentity (a :: Identity a) :: a where ... #

Equations

RunIdentity (Identity field) = field

Defunctionalization symbols

data IdentitySym0 :: forall (a6989586621679087254 :: Type). (~>) a6989586621679087254 (Identity (a6989586621679087254 :: Type)) #

Instances

SingI (IdentitySym0 :: TyFun a (Identity a) -> Type) #
Instance details Defined in Data.Singletons.Prelude.Instances Methods sing :: Sing IdentitySym0 #
SuppressUnusedWarnings (IdentitySym0 :: TyFun a6989586621679087254 (Identity a6989586621679087254) -> Type) #
Instance details Defined in Data.Singletons.Prelude.Instances Methods suppressUnusedWarnings :: () #
type Apply (IdentitySym0 :: TyFun a (Identity a) -> Type) (t6989586621679312928 :: a) #
Instance details Defined in Data.Singletons.Prelude.Instances type Apply (IdentitySym0 :: TyFun a (Identity a) -> Type) (t6989586621679312928 :: a) = Identity t6989586621679312928

type IdentitySym1 (t6989586621679312928 :: a6989586621679087254) = Identity t6989586621679312928 #

data RunIdentitySym0 :: forall a6989586621679087254. (~>) (Identity a6989586621679087254) a6989586621679087254 #

Instances

SuppressUnusedWarnings (RunIdentitySym0 :: TyFun (Identity a6989586621679087254) a6989586621679087254 -> Type) #
Instance details Defined in Data.Singletons.Prelude.Instances Methods suppressUnusedWarnings :: () #
type Apply (RunIdentitySym0 :: TyFun (Identity a) a -> Type) (a6989586621679312925 :: Identity a) #
Instance details Defined in Data.Singletons.Prelude.Instances type Apply (RunIdentitySym0 :: TyFun (Identity a) a -> Type) (a6989586621679312925 :: Identity a) = RunIdentity a6989586621679312925

type RunIdentitySym1 (a6989586621679312925 :: Identity a6989586621679087254) = RunIdentity a6989586621679312925 #

Orphan instances

SMonad Identity #
Instance details Methods (%>>=) :: Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) # (%>>) :: Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) # sReturn :: Sing t -> Sing (Apply ReturnSym0 t) # sFail :: Sing t -> Sing (Apply FailSym0 t) #
SApplicative Identity #
Instance details Methods sPure :: Sing t -> Sing (Apply PureSym0 t) # (%<>) :: Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) # sLiftA2 :: Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) # (%>) :: Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) # (%<) :: Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) #
SFunctor Identity #
Instance details Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) #
PMonad Identity #
Instance details Associated Types type arg >>= arg :: m b # type arg >> arg :: m b # type Return arg :: m a # type Fail arg :: m a #
PApplicative Identity #
Instance details Associated Types type Pure arg :: f a # type arg <> arg :: f b # type LiftA2 arg arg arg :: f c # type arg > arg :: f b # type arg <* arg :: f a #
PFunctor Identity #
Instance details Associated Types type Fmap arg arg :: f b # type arg <$ arg :: f a #
SFoldable Identity #
Instance details Methods sFold :: SMonoid m => Sing t -> Sing (Apply FoldSym0 t) # sFoldMap :: SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t) # sFoldr :: Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t) # sFoldr' :: Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t) # sFoldl :: Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t) # sFoldl' :: Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t) # sFoldr1 :: Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t) # sFoldl1 :: Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t) # sToList :: Sing t -> Sing (Apply ToListSym0 t) # sNull :: Sing t -> Sing (Apply NullSym0 t) # sLength :: Sing t -> Sing (Apply LengthSym0 t) # sElem :: SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t) # sMaximum :: SOrd a => Sing t -> Sing (Apply MaximumSym0 t) # sMinimum :: SOrd a => Sing t -> Sing (Apply MinimumSym0 t) # sSum :: SNum a => Sing t -> Sing (Apply SumSym0 t) # sProduct :: SNum a => Sing t -> Sing (Apply ProductSym0 t) #
PFoldable Identity #
Instance details Associated Types type Fold arg :: m # type FoldMap arg arg :: m # type Foldr arg arg arg :: b # type Foldr' arg arg arg :: b # type Foldl arg arg arg :: b # type Foldl' arg arg arg :: b # type Foldr1 arg arg :: a # type Foldl1 arg arg :: a # type ToList arg :: [a] # type Null arg :: Bool # type Length arg :: Nat # type Elem arg arg :: Bool # type Maximum arg :: a # type Minimum arg :: a # type Sum arg :: a # type Product arg :: a #
SNum a => SNum (Identity a) #
Instance details Methods (%+) :: Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t) # (%-) :: Sing t -> Sing t -> Sing (Apply (Apply (-@#@$) t) t) # (%) :: Sing t -> Sing t -> Sing (Apply (Apply (@#@$) t) t) # sNegate :: Sing t -> Sing (Apply NegateSym0 t) # sAbs :: Sing t -> Sing (Apply AbsSym0 t) # sSignum :: Sing t -> Sing (Apply SignumSym0 t) # sFromInteger :: Sing t -> Sing (Apply FromIntegerSym0 t) #
PNum (Identity a) #
Instance details Associated Types type arg + arg :: a # type arg - arg :: a # type arg * arg :: a # type Negate arg :: a # type Abs arg :: a # type Signum arg :: a # type FromInteger arg :: a #
SEnum a => SEnum (Identity a) #
Instance details Methods sSucc :: Sing t -> Sing (Apply SuccSym0 t) # sPred :: Sing t -> Sing (Apply PredSym0 t) # sToEnum :: Sing t -> Sing (Apply ToEnumSym0 t) # sFromEnum :: Sing t -> Sing (Apply FromEnumSym0 t) # sEnumFromTo :: Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t) # sEnumFromThenTo :: Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t) #
PEnum (Identity a) #
Instance details Associated Types type Succ arg :: a # type Pred arg :: a # type ToEnum arg :: a # type FromEnum arg :: Nat # type EnumFromTo arg arg :: [a] # type EnumFromThenTo arg arg arg :: [a] #
SSemigroup a => SSemigroup (Identity a) #
Instance details Methods (%<>) :: Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) # sSconcat :: Sing t -> Sing (Apply SconcatSym0 t) #
PSemigroup (Identity a) #
Instance details Associated Types type arg <> arg :: a # type Sconcat arg :: a #
SShow a => SShow (Identity a) #
Instance details Methods sShowsPrec :: Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) # sShow_ :: Sing t -> Sing (Apply Show_Sym0 t) # sShowList :: Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) #
PShow (Identity a) #
Instance details Associated Types type ShowsPrec arg arg arg :: Symbol # type Show_ arg :: Symbol # type ShowList arg arg :: Symbol #
SMonoid a => SMonoid (Identity a) #
Instance details Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
PMonoid (Identity a) #
Instance details Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #

The Identity singleton

Defunctionalization symbols

Orphan instances

The `Identity` singleton