Data.Proxy.Singletons

Exports promoted and singled versions of the definitions in Data.Proxy.

The Proxy singleton

type family Sing :: k -> Type

The singleton kind-indexed type family.

Instances

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SBool

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SOrdering

type Sing

Defined in GHC.TypeLits.Singletons.Internal

type Sing = SNat

type Sing

Defined in GHC.TypeLits.Singletons.Internal

type Sing = SSymbol

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple0

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SVoid

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.TypeError

type Sing = SErrorMessage

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SList :: [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.Semigroup.Singletons.Internal

type Sing = SMin :: Min 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 = 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 = SWrappedMonoid :: WrappedMonoid m -> Type

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.Semigroup.Singletons.Internal

type Sing = SDual :: Dual a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SSum :: Sum a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SProduct :: Product a -> Type

type Sing

Defined in Data.Ord.Singletons

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

type Sing

Defined in Data.Singletons.Base.Instances

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

type Sing

Defined in Data.Semigroup.Singletons

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

type Sing

Defined in Data.Proxy.Singletons

type Sing = SProxy :: Proxy t -> 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 = STuple3 :: (a, b, c) -> 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 = STuple4 :: (a, b, c, d) -> 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 SProxy :: Proxy t -> Type where

Constructors

SProxy :: forall t. SProxy ('Proxy @t)

Instances

TestCoercion (SProxy :: Proxy t -> Type)

Defined in Data.Proxy.Singletons

Methods

testCoercion :: forall (a :: k) (b :: k). SProxy a -> SProxy b -> Maybe (Coercion a b)

TestEquality (SProxy :: Proxy t -> Type)

Defined in Data.Proxy.Singletons

Methods

testEquality :: forall (a :: k) (b :: k). SProxy a -> SProxy b -> Maybe (a :~: b)

Show (SProxy z)

Defined in Data.Proxy.Singletons

Methods

showsPrec :: Int -> SProxy z -> ShowS

show :: SProxy z -> String

showList :: [SProxy z] -> ShowS

type family AsProxyTypeOf (a :: a) (a :: proxy a) :: a where ...

Equations

AsProxyTypeOf a_6989586621680333948 a_6989586621680333950 = Apply (Apply ConstSym0 a_6989586621680333948) a_6989586621680333950

sAsProxyTypeOf :: forall a proxy (t :: a) (t :: proxy a). Sing t -> Sing t -> Sing (Apply (Apply AsProxyTypeOfSym0 t) t :: a)

Defunctionalization symbols

type family ProxySym0 :: Proxy (t :: k) where ...

Equations

ProxySym0 = 'Proxy

data AsProxyTypeOfSym0 :: (~>) a ((~>) (proxy a) a)

Instances

SingI (AsProxyTypeOfSym0 :: TyFun a (proxy a ~> a) -> Type)

Defined in Data.Proxy.Singletons

Methods

sing :: Sing AsProxyTypeOfSym0

SuppressUnusedWarnings (AsProxyTypeOfSym0 :: TyFun a (proxy a ~> a) -> Type)

Defined in Data.Proxy.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (AsProxyTypeOfSym0 :: TyFun a (proxy a ~> a) -> Type) (a6989586621680333955 :: a)

Defined in Data.Proxy.Singletons

type Apply (AsProxyTypeOfSym0 :: TyFun a (proxy a ~> a) -> Type) (a6989586621680333955 :: a) = AsProxyTypeOfSym1 a6989586621680333955 :: TyFun (proxy a) a -> Type

data AsProxyTypeOfSym1 (a6989586621680333955 :: a) :: (~>) (proxy a) a

Instances

SingI d => SingI (AsProxyTypeOfSym1 d :: TyFun (proxy a) a -> Type)

Defined in Data.Proxy.Singletons

Methods

sing :: Sing (AsProxyTypeOfSym1 d)

SuppressUnusedWarnings (AsProxyTypeOfSym1 a6989586621680333955 :: TyFun (proxy a) a -> Type)

Defined in Data.Proxy.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (AsProxyTypeOfSym1 a6989586621680333955 :: TyFun (proxy a) a -> Type) (a6989586621680333956 :: proxy a)

Defined in Data.Proxy.Singletons

type Apply (AsProxyTypeOfSym1 a6989586621680333955 :: TyFun (proxy a) a -> Type) (a6989586621680333956 :: proxy a) = AsProxyTypeOf a6989586621680333955 a6989586621680333956

type family AsProxyTypeOfSym2 (a6989586621680333955 :: a) (a6989586621680333956 :: proxy a) :: a where ...

Equations

AsProxyTypeOfSym2 a6989586621680333955 a6989586621680333956 = AsProxyTypeOf a6989586621680333955 a6989586621680333956

Orphan instances

PMonadPlus (Proxy :: k -> Type)

Associated Types

type Mzero :: m a

type Mplus arg arg :: m a

PAlternative (Proxy :: k -> Type)

Associated Types

type Empty :: f a

type arg <|> arg :: f a

SMonadPlus (Proxy :: Type -> Type)

Methods

sMzero :: Sing MzeroSym0

sMplus :: forall a (t :: Proxy a) (t :: Proxy a). Sing t -> Sing t -> Sing (Apply (Apply MplusSym0 t) t)

SAlternative (Proxy :: Type -> Type)

Methods

sEmpty :: Sing EmptySym0

(%<|>) :: forall a (t :: Proxy a) (t :: Proxy a). Sing t -> Sing t -> Sing (Apply (Apply (<|>@#@$) t) t)

SMonad (Proxy :: Type -> Type)

Methods

(%>>=) :: forall a b (t :: Proxy a) (t :: a ~> Proxy b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t)

(%>>) :: forall a b (t :: Proxy a) (t :: Proxy b). Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t)

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

SApplicative (Proxy :: Type -> Type)

Methods

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

(%<*>) :: forall a b (t :: Proxy (a ~> b)) (t :: Proxy a). Sing t -> Sing t -> Sing (Apply (Apply (<*>@#@$) t) t)

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)

(%*>) :: forall a b (t :: Proxy a) (t :: Proxy b). Sing t -> Sing t -> Sing (Apply (Apply (*>@#@$) t) t)

(%<*) :: forall a b (t :: Proxy a) (t :: Proxy b). Sing t -> Sing t -> Sing (Apply (Apply (<*@#@$) t) t)

SFunctor (Proxy :: Type -> Type)

Methods

sFmap :: forall a b (t :: a ~> b) (t :: Proxy a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t)

(%<$) :: forall a b (t :: a) (t :: Proxy b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t)

PMonad (Proxy :: Type -> Type)

Associated Types

type arg >>= arg :: m b

type arg >> arg :: m b

type Return arg :: m a

PApplicative (Proxy :: Type -> Type)

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 (Proxy :: Type -> Type)

Associated Types

type Fmap arg arg :: f b

type arg <$ arg :: f a

SDecide (Proxy t)

Methods

(%~) :: forall (a :: Proxy t) (b :: Proxy t). Sing a -> Sing b -> Decision (a :~: b)

SingKind (Proxy t)

Associated Types

type Demote (Proxy t) = (r :: Type)

Methods

fromSing :: forall (a :: Proxy t). Sing a -> Demote (Proxy t)

toSing :: Demote (Proxy t) -> SomeSing (Proxy t)

SEq (Proxy s)

Methods

(%==) :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t)

(%/=) :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t)

PEq (Proxy s)

Associated Types

type arg == arg :: Bool

type arg /= arg :: Bool

SOrd (Proxy s)

Methods

sCompare :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t)

(%<) :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t)

(%<=) :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t)

(%>) :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t)

(%>=) :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t)

sMax :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t)

sMin :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t)

POrd (Proxy s)

Associated Types

type Compare arg arg :: Ordering

type arg < arg :: Bool

type arg <= arg :: Bool

type arg > arg :: Bool

type arg >= arg :: Bool

type Max arg arg :: a

type Min arg arg :: a

SBounded (Proxy s)

Methods

sMinBound :: Sing MinBoundSym0

sMaxBound :: Sing MaxBoundSym0

PBounded (Proxy s)

Associated Types

type MinBound :: a

type MaxBound :: a

SEnum (Proxy s)

Methods

sSucc :: forall (t :: Proxy s). Sing t -> Sing (Apply SuccSym0 t)

sPred :: forall (t :: Proxy s). Sing t -> Sing (Apply PredSym0 t)

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

sFromEnum :: forall (t :: Proxy s). Sing t -> Sing (Apply FromEnumSym0 t)

sEnumFromTo :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t)

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)

PEnum (Proxy s)

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 (Proxy s)

Methods

(%<>) :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t)

sSconcat :: forall (t :: NonEmpty (Proxy s)). Sing t -> Sing (Apply SconcatSym0 t)

PSemigroup (Proxy s)

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

SShow (Proxy s)

Methods

sShowsPrec :: forall (t :: Nat) (t :: Proxy s) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t)

sShow_ :: forall (t :: Proxy s). Sing t -> Sing (Apply Show_Sym0 t)

sShowList :: forall (t :: [Proxy s]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t)

PShow (Proxy s)

Associated Types

type ShowsPrec arg arg arg :: Symbol

type Show_ arg :: Symbol

type ShowList arg arg :: Symbol

SMonoid (Proxy s)

Methods

sMempty :: Sing MemptySym0

sMappend :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t)

sMconcat :: forall (t :: [Proxy s]). Sing t -> Sing (Apply MconcatSym0 t)

PMonoid (Proxy s)

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

SingI ('Proxy :: Proxy t)

Methods

sing :: Sing 'Proxy0