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	GHC2021

Data.Functor.Identity.Singletons

Contents

The Identity singleton
Defunctionalization symbols
Orphan instances

Description

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

Synopsis

type family Sing :: k -> Type
data SIdentity (a1 :: Identity a) where
- SIdentity :: forall a (n :: a). Sing n -> SIdentity ('Identity n)
type family RunIdentity (a1 :: Identity a) :: a where ...
sRunIdentity :: forall a (t :: Identity a). Sing t -> Sing (Apply (RunIdentitySym0 :: TyFun (Identity a) a -> Type) t)
data IdentitySym0 (a1 :: TyFun a (Identity a))
type family IdentitySym1 (a6989586621679047151 :: a) :: Identity a where ...
data RunIdentitySym0 (a1 :: TyFun (Identity a) a)
type family RunIdentitySym1 (a6989586621679047154 :: Identity a) :: a where ...

The `Identity` singleton

type family Sing :: k -> Type #

Instances

Instances details

type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SAll
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SAny
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SVoid
type Sing Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Sing = SNat
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SOrdering
type Sing Source #
Instance details Defined in Data.Singletons.Base.TypeError type Sing = SErrorMessage
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple0
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SBool
type Sing Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Sing = SChar
type Sing Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Sing = SSymbol
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SIdentity :: Identity a -> Type
type Sing Source #
Instance details Defined in Data.Monoid.Singletons type Sing = SFirst :: First a -> Type
type Sing Source #
Instance details Defined in Data.Monoid.Singletons type Sing = SLast :: Last a -> Type
type Sing Source #
Instance details Defined in Data.Ord.Singletons type Sing = SDown :: Down a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SFirst :: First a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SLast :: Last a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SMax :: Max a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SMin :: Min a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SWrappedMonoid :: WrappedMonoid m -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SDual :: Dual a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SProduct :: Product a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SSum :: Sum a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SNonEmpty :: NonEmpty a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SMaybe :: Maybe a -> Type
type Sing Source #	A choice of singleton for the kind `TYPE rep` (for some `RuntimeRep` `rep`), an instantiation of which is the famous kind `Type`. Conceivably, one could generalize this instance to `Sing @k` 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.Base.TypeRepTYPE type Sing = TypeRep :: TYPE rep -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SList :: [a] -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SEither :: Either a b -> Type
type Sing Source #
Instance details Defined in Data.Proxy.Singletons type Sing = SProxy :: Proxy t -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons type Sing = SArg :: Arg a b -> Type
type Sing
Instance details Defined in Data.Singletons type Sing = SWrappedSing :: WrappedSing a -> Type
type Sing
Instance details Defined in Data.Singletons type Sing = SLambda :: (k1 ~> k2) -> Type
type Sing
Instance details Defined in Data.Singletons.Sigma type Sing = SSigma :: Sigma s t -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple2 :: (a, b) -> Type
type Sing Source #
Instance details Defined in Data.Functor.Const.Singletons type Sing = SConst :: Const a b -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple3 :: (a, b, c) -> Type
type Sing Source #
Instance details Defined in Data.Functor.Product.Singletons type Sing = SProduct :: Product f g a -> Type
type Sing Source #
Instance details Defined in Data.Functor.Sum.Singletons type Sing = SSum :: Sum f g a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple4 :: (a, b, c, d) -> Type
type Sing Source #
Instance details Defined in Data.Functor.Compose.Singletons type Sing = SCompose :: Compose f g a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple5 :: (a, b, c, d, e) -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple6 :: (a, b, c, d, e, f) -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple7 :: (a, b, c, d, e, f, g) -> Type

data SIdentity (a1 :: Identity a) where Source #

Constructors

SIdentity :: forall a (n :: a). Sing n -> SIdentity ('Identity n)

Instances

Instances details

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

type family RunIdentity (a1 :: Identity a) :: a where ... Source #

Equations

RunIdentity ('Identity field :: Identity a) = field

sRunIdentity :: forall a (t :: Identity a). Sing t -> Sing (Apply (RunIdentitySym0 :: TyFun (Identity a) a -> Type) t) Source #

Defunctionalization symbols

data IdentitySym0 (a1 :: TyFun a (Identity a)) Source #

Instances

Instances details

SingI (IdentitySym0 :: TyFun a (Identity a) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (IdentitySym0 :: TyFun a (Identity a) -> Type) #
SuppressUnusedWarnings (IdentitySym0 :: TyFun a (Identity a) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (IdentitySym0 :: TyFun a (Identity a) -> Type) (a6989586621679047151 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (IdentitySym0 :: TyFun a (Identity a) -> Type) (a6989586621679047151 :: a) = 'Identity a6989586621679047151

type family IdentitySym1 (a6989586621679047151 :: a) :: Identity a where ... Source #

Equations

IdentitySym1 (a6989586621679047151 :: a) = 'Identity a6989586621679047151

data RunIdentitySym0 (a1 :: TyFun (Identity a) a) Source #

Instances

Instances details

SingI (RunIdentitySym0 :: TyFun (Identity a) a -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (RunIdentitySym0 :: TyFun (Identity a) a -> Type) #
SuppressUnusedWarnings (RunIdentitySym0 :: TyFun (Identity a) a -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (RunIdentitySym0 :: TyFun (Identity a) a -> Type) (a6989586621679047154 :: Identity a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (RunIdentitySym0 :: TyFun (Identity a) a -> Type) (a6989586621679047154 :: Identity a) = RunIdentity a6989586621679047154

type family RunIdentitySym1 (a6989586621679047154 :: Identity a) :: a where ... Source #

Equations

RunIdentitySym1 (a6989586621679047154 :: Identity a) = RunIdentity a6989586621679047154

Orphan instances

PApplicative Identity Source #

Instance details

Associated Types

type Pure (a :: k1)
Instance details Defined in Data.Functor.Identity.Singletons type Pure (a :: k1)
type (a2 :: Identity (a1 ~> b)) <*> (a3 :: Identity a1)
Instance details Defined in Data.Functor.Identity.Singletons type (a2 :: Identity (a1 ~> b)) <*> (a3 :: Identity a1)
type LiftA2 (a2 :: a1 ~> (b ~> c)) (a3 :: Identity a1) (a4 :: Identity b)
Instance details Defined in Data.Functor.Identity.Singletons type LiftA2 (a2 :: a1 ~> (b ~> c)) (a3 :: Identity a1) (a4 :: Identity b)
type (arg :: Identity a) *> (arg1 :: Identity b)
Instance details Defined in Data.Functor.Identity.Singletons type (arg :: Identity a) *> (arg1 :: Identity b)
type (arg :: Identity a) <* (arg1 :: Identity b)
Instance details Defined in Data.Functor.Identity.Singletons type (arg :: Identity a) <* (arg1 :: Identity b)

PFunctor Identity Source #

Instance details

Associated Types

type Fmap (a2 :: a1 ~> b) (a3 :: Identity a1)
Instance details Defined in Data.Functor.Identity.Singletons type Fmap (a2 :: a1 ~> b) (a3 :: Identity a1)
type (a1 :: k1) <$ (a2 :: Identity b)
Instance details Defined in Data.Functor.Identity.Singletons type (a1 :: k1) <$ (a2 :: Identity b)

PMonad Identity Source #

Instance details

Associated Types

type (a2 :: Identity a1) >>= (a3 :: a1 ~> Identity b)
Instance details Defined in Data.Functor.Identity.Singletons type (a2 :: Identity a1) >>= (a3 :: a1 ~> Identity b)
type (arg :: Identity a) >> (arg1 :: Identity b)
Instance details Defined in Data.Functor.Identity.Singletons type (arg :: Identity a) >> (arg1 :: Identity b)
type Return (arg :: a)
Instance details Defined in Data.Functor.Identity.Singletons type Return (arg :: a)

SApplicative Identity Source #

Instance details

Methods

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

(%<*>) :: forall a b (t1 :: Identity (a ~> b)) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply ((<*>@#@$) :: TyFun (Identity (a ~> b)) (Identity a ~> Identity b) -> Type) t1) t2) Source #

sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Identity a) (t3 :: Identity b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply (LiftA2Sym0 :: TyFun (a ~> (b ~> c)) (Identity a ~> (Identity b ~> Identity c)) -> Type) t1) t2) t3) Source #

(%*>) :: forall a b (t1 :: Identity a) (t2 :: Identity b). Sing t1 -> Sing t2 -> Sing (Apply (Apply ((*>@#@$) :: TyFun (Identity a) (Identity b ~> Identity b) -> Type) t1) t2) Source #

(%<*) :: forall a b (t1 :: Identity a) (t2 :: Identity b). Sing t1 -> Sing t2 -> Sing (Apply (Apply ((<*@#@$) :: TyFun (Identity a) (Identity b ~> Identity a) -> Type) t1) t2) Source #

SFunctor Identity Source #

Instance details

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (FmapSym0 :: TyFun (a ~> b) (Identity a ~> Identity b) -> Type) t1) t2) Source #

(%<$) :: forall a b (t1 :: a) (t2 :: Identity b). Sing t1 -> Sing t2 -> Sing (Apply (Apply ((<$@#@$) :: TyFun a (Identity b ~> Identity a) -> Type) t1) t2) Source #

SMonad Identity Source #

Instance details

Methods

(%>>=) :: forall a b (t1 :: Identity a) (t2 :: a ~> Identity b). Sing t1 -> Sing t2 -> Sing (Apply (Apply ((>>=@#@$) :: TyFun (Identity a) ((a ~> Identity b) ~> Identity b) -> Type) t1) t2) Source #

(%>>) :: forall a b (t1 :: Identity a) (t2 :: Identity b). Sing t1 -> Sing t2 -> Sing (Apply (Apply ((>>@#@$) :: TyFun (Identity a) (Identity b ~> Identity b) -> Type) t1) t2) Source #

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

PFoldable Identity Source #

Instance details

Associated Types

type Fold (arg :: Identity m)
Instance details Defined in Data.Functor.Identity.Singletons type Fold (arg :: Identity m)
type FoldMap (a2 :: a1 ~> k2) (a3 :: Identity a1)
Instance details Defined in Data.Functor.Identity.Singletons type FoldMap (a2 :: a1 ~> k2) (a3 :: Identity a1)
type Foldr (a2 :: a1 ~> (k2 ~> k2)) (a3 :: k2) (a4 :: Identity a1)
Instance details Defined in Data.Functor.Identity.Singletons type Foldr (a2 :: a1 ~> (k2 ~> k2)) (a3 :: k2) (a4 :: Identity a1)
type Foldr' (a2 :: a1 ~> (k2 ~> k2)) (a3 :: k2) (a4 :: Identity a1)
Instance details Defined in Data.Functor.Identity.Singletons type Foldr' (a2 :: a1 ~> (k2 ~> k2)) (a3 :: k2) (a4 :: Identity a1)
type Foldl (a2 :: k2 ~> (a1 ~> k2)) (a3 :: k2) (a4 :: Identity a1)
Instance details Defined in Data.Functor.Identity.Singletons type Foldl (a2 :: k2 ~> (a1 ~> k2)) (a3 :: k2) (a4 :: Identity a1)
type Foldl' (a2 :: k2 ~> (a1 ~> k2)) (a3 :: k2) (a4 :: Identity a1)
Instance details Defined in Data.Functor.Identity.Singletons type Foldl' (a2 :: k2 ~> (a1 ~> k2)) (a3 :: k2) (a4 :: Identity a1)
type Foldr1 (a1 :: k2 ~> (k2 ~> k2)) (a2 :: Identity k2)
Instance details Defined in Data.Functor.Identity.Singletons type Foldr1 (a1 :: k2 ~> (k2 ~> k2)) (a2 :: Identity k2)
type Foldl1 (a1 :: k2 ~> (k2 ~> k2)) (a2 :: Identity k2)
Instance details Defined in Data.Functor.Identity.Singletons type Foldl1 (a1 :: k2 ~> (k2 ~> k2)) (a2 :: Identity k2)
type ToList (a2 :: Identity a1)
Instance details Defined in Data.Functor.Identity.Singletons type ToList (a2 :: Identity a1)
type Null (a2 :: Identity a1)
Instance details Defined in Data.Functor.Identity.Singletons type Null (a2 :: Identity a1)
type Length (a2 :: Identity a1)
Instance details Defined in Data.Functor.Identity.Singletons type Length (a2 :: Identity a1)
type Elem (a1 :: k1) (a2 :: Identity k1)
Instance details Defined in Data.Functor.Identity.Singletons type Elem (a1 :: k1) (a2 :: Identity k1)
type Maximum (a :: Identity k2)
Instance details Defined in Data.Functor.Identity.Singletons type Maximum (a :: Identity k2)
type Minimum (a :: Identity k2)
Instance details Defined in Data.Functor.Identity.Singletons type Minimum (a :: Identity k2)
type Sum (a :: Identity k2)
Instance details Defined in Data.Functor.Identity.Singletons type Sum (a :: Identity k2)
type Product (a :: Identity k2)
Instance details Defined in Data.Functor.Identity.Singletons type Product (a :: Identity k2)

SFoldable Identity Source #

Instance details

Methods

sFold :: forall m (t1 :: Identity m). SMonoid m => Sing t1 -> Sing (Apply (FoldSym0 :: TyFun (Identity m) m -> Type) t1) Source #

sFoldMap :: forall a m (t1 :: a ~> m) (t2 :: Identity a). SMonoid m => Sing t1 -> Sing t2 -> Sing (Apply (Apply (FoldMapSym0 :: TyFun (a ~> m) (Identity a ~> m) -> Type) t1) t2) Source #

sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Identity a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply (FoldrSym0 :: TyFun (a ~> (b ~> b)) (b ~> (Identity a ~> b)) -> Type) t1) t2) t3) Source #

sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Identity a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply (Foldr'Sym0 :: TyFun (a ~> (b ~> b)) (b ~> (Identity a ~> b)) -> Type) t1) t2) t3) Source #

sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Identity a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply (FoldlSym0 :: TyFun (b ~> (a ~> b)) (b ~> (Identity a ~> b)) -> Type) t1) t2) t3) Source #

sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Identity a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply (Foldl'Sym0 :: TyFun (b ~> (a ~> b)) (b ~> (Identity a ~> b)) -> Type) t1) t2) t3) Source #

sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (Foldr1Sym0 :: TyFun (a ~> (a ~> a)) (Identity a ~> a) -> Type) t1) t2) Source #

sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (Foldl1Sym0 :: TyFun (a ~> (a ~> a)) (Identity a ~> a) -> Type) t1) t2) Source #

sToList :: forall a (t1 :: Identity a). Sing t1 -> Sing (Apply (ToListSym0 :: TyFun (Identity a) [a] -> Type) t1) Source #

sNull :: forall a (t1 :: Identity a). Sing t1 -> Sing (Apply (NullSym0 :: TyFun (Identity a) Bool -> Type) t1) Source #

sLength :: forall a (t1 :: Identity a). Sing t1 -> Sing (Apply (LengthSym0 :: TyFun (Identity a) Natural -> Type) t1) Source #

sElem :: forall a (t1 :: a) (t2 :: Identity a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply (ElemSym0 :: TyFun a (Identity a ~> Bool) -> Type) t1) t2) Source #

sMaximum :: forall a (t1 :: Identity a). SOrd a => Sing t1 -> Sing (Apply (MaximumSym0 :: TyFun (Identity a) a -> Type) t1) Source #

sMinimum :: forall a (t1 :: Identity a). SOrd a => Sing t1 -> Sing (Apply (MinimumSym0 :: TyFun (Identity a) a -> Type) t1) Source #

sSum :: forall a (t1 :: Identity a). SNum a => Sing t1 -> Sing (Apply (SumSym0 :: TyFun (Identity a) a -> Type) t1) Source #

sProduct :: forall a (t1 :: Identity a). SNum a => Sing t1 -> Sing (Apply (ProductSym0 :: TyFun (Identity a) a -> Type) t1) Source #

PMonoid (Identity a) Source #

Instance details

Associated Types

type Mempty
Instance details Defined in Data.Functor.Identity.Singletons type Mempty

SMonoid a => SMonoid (Identity a) Source #

Instance details

Methods

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

sMappend :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (MappendSym0 :: TyFun (Identity a) (Identity a ~> Identity a) -> Type) t1) t2) Source #

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

PSemigroup (Identity a) Source #

Instance details

SSemigroup a => SSemigroup (Identity a) Source #

Instance details

Methods

(%<>) :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply ((<>@#@$) :: TyFun (Identity a) (Identity a ~> Identity a) -> Type) t1) t2) Source #

sSconcat :: forall (t :: NonEmpty (Identity a)). Sing t -> Sing (Apply (SconcatSym0 :: TyFun (NonEmpty (Identity a)) (Identity a) -> Type) t) Source #

PEnum (Identity a) Source #

Instance details

SEnum a => SEnum (Identity a) Source #

Instance details

Methods

sSucc :: forall (t :: Identity a). Sing t -> Sing (Apply (SuccSym0 :: TyFun (Identity a) (Identity a) -> Type) t) Source #

sPred :: forall (t :: Identity a). Sing t -> Sing (Apply (PredSym0 :: TyFun (Identity a) (Identity a) -> Type) t) Source #

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

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

sEnumFromTo :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (EnumFromToSym0 :: TyFun (Identity a) (Identity a ~> [Identity a]) -> Type) t1) t2) Source #

sEnumFromThenTo :: forall (t1 :: Identity a) (t2 :: Identity a) (t3 :: Identity a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply (EnumFromThenToSym0 :: TyFun (Identity a) (Identity a ~> (Identity a ~> [Identity a])) -> Type) t1) t2) t3) Source #

PNum (Identity a) Source #

Instance details

SNum a => SNum (Identity a) Source #

Instance details

Methods

(%+) :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply ((+@#@$) :: TyFun (Identity a) (Identity a ~> Identity a) -> Type) t1) t2) Source #

(%-) :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply ((-@#@$) :: TyFun (Identity a) (Identity a ~> Identity a) -> Type) t1) t2) Source #

(%*) :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply ((*@#@$) :: TyFun (Identity a) (Identity a ~> Identity a) -> Type) t1) t2) Source #

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

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

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

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

PShow (Identity a) Source #

Instance details

SShow a => SShow (Identity a) Source #

Instance details

Methods

sShowsPrec :: forall (t1 :: Natural) (t2 :: Identity a) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply (ShowsPrecSym0 :: TyFun Natural (Identity a ~> (Symbol ~> Symbol)) -> Type) t1) t2) t3) Source #

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

sShowList :: forall (t1 :: [Identity a]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply (ShowListSym0 :: TyFun [Identity a] (Symbol ~> Symbol) -> Type) t1) t2) Source #

The Identity singleton

Instances

Instances

Defunctionalization symbols

Instances

Instances

Orphan instances

The `Identity` singleton