Data.Functor.Identity.Singletons

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

The Identity singleton

type family Sing :: k -> Type

Instances

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SAll

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SAny

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SVoid

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SOrdering

type Sing

Defined in Data.Singletons.Base.TypeError

type Sing = SErrorMessage

type Sing

Defined in GHC.TypeLits.Singletons.Internal

type Sing = SNat

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple0

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SBool

type Sing

Defined in GHC.TypeLits.Singletons.Internal

type Sing = SChar

type Sing

Defined in GHC.TypeLits.Singletons.Internal

type Sing = SSymbol

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SIdentity :: Identity a -> Type

type Sing

Defined in Data.Monoid.Singletons

type Sing = SFirst :: First a -> Type

type Sing

Defined in Data.Monoid.Singletons

type Sing = SLast :: Last a -> Type

type Sing

Defined in Data.Ord.Singletons

type Sing = SDown :: Down a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SFirst :: First a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SLast :: Last a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SMax :: Max a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SMin :: Min a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SWrappedMonoid :: WrappedMonoid m -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SDual :: Dual a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SProduct :: Product a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SSum :: Sum a -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SNonEmpty :: NonEmpty a -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SMaybe :: Maybe a -> Type

type Sing

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 TypeReps (for instance, TypeReps 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.

Defined in Data.Singletons.Base.TypeRepTYPE

type Sing = TypeRep :: TYPE rep -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SList :: [a] -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SEither :: Either a b -> Type

type Sing

Defined in Data.Proxy.Singletons

type Sing = SProxy :: Proxy t -> Type

type Sing

Defined in Data.Semigroup.Singletons

type Sing = SArg :: Arg a b -> Type

type Sing

Defined in Data.Singletons

type Sing = SWrappedSing :: WrappedSing a -> Type

type Sing

Defined in Data.Singletons

type Sing = SLambda :: (k1 ~> k2) -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple2 :: (a, b) -> Type

type Sing

Defined in Data.Functor.Const.Singletons

type Sing = SConst :: Const a b -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple3 :: (a, b, c) -> Type

type Sing

Defined in Data.Functor.Product.Singletons

type Sing = SProduct :: Product f g a -> Type

type Sing

Defined in Data.Functor.Sum.Singletons

type Sing = SSum :: Sum f g a -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple4 :: (a, b, c, d) -> Type

type Sing

Defined in Data.Functor.Compose.Singletons

type Sing = SCompose :: Compose f g a -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple5 :: (a, b, c, d, e) -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple6 :: (a, b, c, d, e, f) -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple7 :: (a, b, c, d, e, f, g) -> Type

data SIdentity :: forall (a :: Type). Identity a -> Type where

Constructors

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

Instances

SDecide a => TestCoercion (SIdentity :: Identity a -> Type)

Defined in Data.Singletons.Base.Instances

Methods

testCoercion :: forall (a0 :: k) (b :: k). SIdentity a0 -> SIdentity b -> Maybe (Coercion a0 b)

SDecide a => TestEquality (SIdentity :: Identity a -> Type)

Defined in Data.Singletons.Base.Instances

Methods

testEquality :: forall (a0 :: k) (b :: k). SIdentity a0 -> SIdentity b -> Maybe (a0 :~: b)

ShowSing a => Show (SIdentity z)

Defined in Data.Singletons.Base.Instances

Methods

showsPrec :: Int -> SIdentity z -> ShowS

show :: SIdentity z -> String

showList :: [SIdentity z] -> ShowS

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

Equations

RunIdentity ('Identity field) = field

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

Defunctionalization symbols

data IdentitySym0 :: (~>) a (Identity (a :: Type))

Instances

SingI (IdentitySym0 :: TyFun a (Identity a) -> Type)

Defined in Data.Singletons.Base.Instances

Methods

sing :: Sing IdentitySym0

SuppressUnusedWarnings (IdentitySym0 :: TyFun a (Identity a) -> Type)

Defined in Data.Singletons.Base.Instances

Methods

suppressUnusedWarnings :: ()

type Apply (IdentitySym0 :: TyFun a (Identity a) -> Type) (a6989586621679041277 :: a)

Defined in Data.Singletons.Base.Instances

type Apply (IdentitySym0 :: TyFun a (Identity a) -> Type) (a6989586621679041277 :: a) = 'Identity a6989586621679041277

type family IdentitySym1 (a6989586621679041277 :: a) :: Identity (a :: Type) where ...

Equations

IdentitySym1 a6989586621679041277 = 'Identity a6989586621679041277

data RunIdentitySym0 :: (~>) (Identity (a :: Type)) a

Instances

SingI (RunIdentitySym0 :: TyFun (Identity a) a -> Type)

Defined in Data.Singletons.Base.Instances

Methods

sing :: Sing RunIdentitySym0

SuppressUnusedWarnings (RunIdentitySym0 :: TyFun (Identity a) a -> Type)

Defined in Data.Singletons.Base.Instances

Methods

suppressUnusedWarnings :: ()

type Apply (RunIdentitySym0 :: TyFun (Identity a) a -> Type) (a6989586621679041280 :: Identity a)

Defined in Data.Singletons.Base.Instances

type Apply (RunIdentitySym0 :: TyFun (Identity a) a -> Type) (a6989586621679041280 :: Identity a) = RunIdentity a6989586621679041280

type family RunIdentitySym1 (a6989586621679041280 :: Identity (a :: Type)) :: a where ...

Equations

RunIdentitySym1 a6989586621679041280 = RunIdentity a6989586621679041280

Orphan instances

PApplicative Identity

Associated Types

type Pure arg :: f a

type arg <*> arg1 :: f b

type LiftA2 arg arg1 arg2 :: f c

type arg *> arg1 :: f b

type arg <* arg1 :: f a

PFunctor Identity

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PMonad Identity

Associated Types

type arg >>= arg1 :: m b

type arg >> arg1 :: m b

type Return arg :: m a

SApplicative Identity

Methods

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

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

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

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

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

SFunctor Identity

Methods

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

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

SMonad Identity

Methods

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

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

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

PFoldable Identity

Associated Types

type Fold arg :: m

type FoldMap arg arg1 :: m

type Foldr arg arg1 arg2 :: b

type Foldr' arg arg1 arg2 :: b

type Foldl arg arg1 arg2 :: b

type Foldl' arg arg1 arg2 :: b

type Foldr1 arg arg1 :: a

type Foldl1 arg arg1 :: a

type ToList arg :: [a]

type Null arg :: Bool

type Length arg :: Natural

type Elem arg arg1 :: Bool

type Maximum arg :: a

type Minimum arg :: a

type Sum arg :: a

type Product arg :: a

SFoldable Identity

Methods

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

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

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

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

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

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

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

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

sToList :: forall a (t1 :: Identity a). Sing t1 -> Sing (Apply ToListSym0 t1)

sNull :: forall a (t1 :: Identity a). Sing t1 -> Sing (Apply NullSym0 t1)

sLength :: forall a (t1 :: Identity a). Sing t1 -> Sing (Apply LengthSym0 t1)

sElem :: forall a (t1 :: a) (t2 :: Identity a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2)

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

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

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

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

PMonoid (Identity a)

Associated Types

type Mempty :: a

type Mappend arg arg1 :: a

type Mconcat arg :: a

SMonoid a => SMonoid (Identity a)

Methods

sMempty :: Sing MemptySym0

sMappend :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2)

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

PSemigroup (Identity a)

Associated Types

type arg <> arg1 :: a

type Sconcat arg :: a

SSemigroup a => SSemigroup (Identity a)

Methods

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

sSconcat :: forall (t :: NonEmpty (Identity a)). Sing t -> Sing (Apply SconcatSym0 t)

PEnum (Identity a)

Associated Types

type Succ arg :: a

type Pred arg :: a

type ToEnum arg :: a

type FromEnum arg :: Natural

type EnumFromTo arg arg1 :: [a]

type EnumFromThenTo arg arg1 arg2 :: [a]

SEnum a => SEnum (Identity a)

Methods

sSucc :: forall (t :: Identity a). Sing t -> Sing (Apply SuccSym0 t)

sPred :: forall (t :: Identity a). Sing t -> Sing (Apply PredSym0 t)

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

sFromEnum :: forall (t :: Identity a). Sing t -> Sing (Apply FromEnumSym0 t)

sEnumFromTo :: forall (t1 :: Identity a) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply EnumFromToSym0 t1) t2)

sEnumFromThenTo :: forall (t1 :: Identity a) (t2 :: Identity a) (t3 :: Identity a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t1) t2) t3)

PNum (Identity a)

Associated Types

type arg + arg1 :: a

type arg - arg1 :: a

type arg * arg1 :: a

type Negate arg :: a

type Abs arg :: a

type Signum arg :: a

type FromInteger arg :: a

SNum a => SNum (Identity a)

Methods

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

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

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

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

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

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

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

PShow (Identity a)

Associated Types

type ShowsPrec arg arg1 arg2 :: Symbol

type Show_ arg :: Symbol

type ShowList arg arg1 :: Symbol

SShow a => SShow (Identity a)

Methods

sShowsPrec :: forall (t1 :: Natural) (t2 :: Identity a) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3)

sShow_ :: forall (t :: Identity a). Sing t -> Sing (Apply Show_Sym0 t)

sShowList :: forall (t1 :: [Identity a]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2)