Data.Singletons.Prelude.Maybe

Defines functions and datatypes relating to the singleton for Maybe, including a singletons version of all the definitions in Data.Maybe.

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

Documentation

data family Sing :: k -> Type

The singleton kind-indexed data family.

Instances

SDecide k => TestCoercion (Sing :: k -> Type)

Defined in Data.Singletons.Decide

Methods

testCoercion :: Sing a -> Sing b -> Maybe (Coercion a b)

SDecide k => TestEquality (Sing :: k -> Type)

Defined in Data.Singletons.Decide

Methods

testEquality :: Sing a -> Sing b -> Maybe (a :~: b)

Show (SSymbol s)

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> SSymbol s -> ShowS

show :: SSymbol s -> String

showList :: [SSymbol s] -> ShowS

Show (SNat n)

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> SNat n -> ShowS

show :: SNat n -> String

showList :: [SNat n] -> ShowS

Eq (Sing a)

Defined in Data.Singletons.TypeRepTYPE

Methods

(==) :: Sing a -> Sing a -> Bool

(/=) :: Sing a -> Sing a -> Bool

Ord (Sing a)

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)

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)

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS

show :: Sing z -> String

showList :: [Sing z] -> ShowS

ShowSing a => Show (Sing z)

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS

show :: Sing z -> String

showList :: [Sing z] -> ShowS

Show (Sing z)

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)

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS

show :: Sing z -> String

showList :: [Sing z] -> ShowS

Show (Sing a)

Defined in Data.Singletons.TypeRepTYPE

Methods

showsPrec :: Int -> Sing a -> ShowS

show :: Sing a -> String

showList :: [Sing a] -> ShowS

Show (Sing z)

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)

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)

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)

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)

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)

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)

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS

show :: Sing z -> String

showList :: [Sing z] -> ShowS

Show (Sing z)

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS

show :: Sing z -> String

showList :: [Sing z] -> ShowS

ShowSing a => Show (Sing z)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS

show :: Sing z -> String

showList :: [Sing z] -> ShowS

data Sing (a :: Bool)

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)

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)

Defined in Data.Singletons.TypeLits.Internal

data Sing (n :: Nat) where

• SNat :: forall (n :: Nat). KnownNat n => Sing n

data Sing (n :: Symbol)

Defined in Data.Singletons.TypeLits.Internal

data Sing (n :: Symbol) where

• SSym :: forall (n :: Symbol). KnownSymbol n => Sing n

data Sing (a :: ())

Defined in Data.Singletons.Prelude.Instances

data Sing (a :: ()) where

• STuple0 :: forall (a :: ()). Sing ()

data Sing (a :: Void)

Defined in Data.Singletons.Prelude.Instances

data Sing (a :: Void)

data Sing (a :: All)

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)

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)

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])

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)

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)

data 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 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.TypeRepTYPE

data Sing (a :: TYPE rep) = STypeRep (TypeRep a)

data Sing (b :: Min a)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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))

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)

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)

data Sing (f :: k1 ~> k2)

Defined in Data.Singletons.Internal

data Sing (f :: k1 ~> k2) = SLambda {

• applySing :: forall (t :: k1). Sing t -> Sing (f @@ t)

}

data Sing (d :: (a, b, c))

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)

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))

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))

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))

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))

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)

Though Haddock doesn't show it, the Sing instance above declares constructors

SNothing :: Sing Nothing
SJust    :: Sing a -> Sing (Just a)

type SMaybe = (Sing :: Maybe a -> Type)

SBool is a kind-restricted synonym for Sing: type SMaybe (a :: Maybe k) = Sing a

Singletons from Data.Maybe

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

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

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)

The preceding two definitions are derived from the function maybe in Data.Maybe. The extra underscore is to avoid name clashes with the type Maybe.

type family IsJust (a :: Maybe a) :: Bool where ...

Equations

IsJust Nothing = FalseSym0

IsJust (Just _) = TrueSym0

sIsJust :: forall a (t :: Maybe a). Sing t -> Sing (Apply IsJustSym0 t :: Bool)

type family IsNothing (a :: Maybe a) :: Bool where ...

Equations

IsNothing Nothing = TrueSym0

IsNothing (Just _) = FalseSym0

sIsNothing :: forall a (t :: Maybe a). Sing t -> Sing (Apply IsNothingSym0 t :: Bool)

type family FromJust (a :: Maybe a) :: a where ...

Equations

FromJust Nothing = Apply ErrorSym0 "Maybe.fromJust: Nothing"

FromJust (Just x) = x

sFromJust :: forall a (t :: Maybe a). Sing t -> Sing (Apply FromJustSym0 t :: a)

type family FromMaybe (a :: a) (a :: Maybe a) :: a where ...

Equations

FromMaybe d x = Case_6989586621679496019 d x x

sFromMaybe :: forall a (t :: a) (t :: Maybe a). Sing t -> Sing t -> Sing (Apply (Apply FromMaybeSym0 t) t :: a)

type family ListToMaybe (a :: [a]) :: Maybe a where ...

Equations

ListToMaybe '[] = NothingSym0

ListToMaybe ((:) a _) = Apply JustSym0 a

sListToMaybe :: forall a (t :: [a]). Sing t -> Sing (Apply ListToMaybeSym0 t :: Maybe a)

type family MaybeToList (a :: Maybe a) :: [a] where ...

Equations

MaybeToList Nothing = '[]

MaybeToList (Just x) = Apply (Apply (:@#@$) x) '[]

sMaybeToList :: forall a (t :: Maybe a). Sing t -> Sing (Apply MaybeToListSym0 t :: [a])

type family CatMaybes (a :: [Maybe a]) :: [a] where ...

Equations

CatMaybes '[] = '[]

CatMaybes ((:) (Just x) xs) = Apply (Apply (:@#@$) x) (Apply CatMaybesSym0 xs)

CatMaybes ((:) Nothing xs) = Apply CatMaybesSym0 xs

sCatMaybes :: forall a (t :: [Maybe a]). Sing t -> Sing (Apply CatMaybesSym0 t :: [a])

type family MapMaybe (a :: (~>) a (Maybe b)) (a :: [a]) :: [b] where ...

Equations

MapMaybe _ '[] = '[]

MapMaybe f ((:) x xs) = Case_6989586621679495998 f x xs (Let6989586621679495994Scrutinee_6989586621679495851Sym3 f x xs)

sMapMaybe :: forall a b (t :: (~>) a (Maybe b)) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply MapMaybeSym0 t) t :: [b])

Defunctionalization symbols

type NothingSym0 = Nothing

data JustSym0 :: forall (a3530822107858468865 :: Type). (~>) a3530822107858468865 (Maybe (a3530822107858468865 :: Type))

Instances

SingI (JustSym0 :: TyFun a (Maybe a) -> Type)

Defined in Data.Singletons.Prelude.Instances

Methods

sing :: Sing JustSym0

SuppressUnusedWarnings (JustSym0 :: TyFun a3530822107858468865 (Maybe a3530822107858468865) -> Type)

Defined in Data.Singletons.Prelude.Instances

Methods

suppressUnusedWarnings :: ()

type Apply (JustSym0 :: TyFun a (Maybe a) -> Type) (t6989586621679298894 :: a)

Defined in Data.Singletons.Prelude.Instances

type Apply (JustSym0 :: TyFun a (Maybe a) -> Type) (t6989586621679298894 :: a) = Just t6989586621679298894

type JustSym1 (t6989586621679298894 :: a3530822107858468865) = Just t6989586621679298894

data Maybe_Sym0 :: forall a6989586621679494395 b6989586621679494394. (~>) b6989586621679494394 ((~>) ((~>) a6989586621679494395 b6989586621679494394) ((~>) (Maybe a6989586621679494395) b6989586621679494394))

Instances

SingI (Maybe_Sym0 :: TyFun b ((a ~> b) ~> (Maybe a ~> b)) -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

sing :: Sing Maybe_Sym0

SuppressUnusedWarnings (Maybe_Sym0 :: TyFun b6989586621679494394 ((a6989586621679494395 ~> b6989586621679494394) ~> (Maybe a6989586621679494395 ~> b6989586621679494394)) -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

suppressUnusedWarnings :: ()

type Apply (Maybe_Sym0 :: TyFun b6989586621679494394 ((a6989586621679494395 ~> b6989586621679494394) ~> (Maybe a6989586621679494395 ~> b6989586621679494394)) -> Type) (a6989586621679494412 :: b6989586621679494394)

Defined in Data.Singletons.Prelude.Maybe

type Apply (Maybe_Sym0 :: TyFun b6989586621679494394 ((a6989586621679494395 ~> b6989586621679494394) ~> (Maybe a6989586621679494395 ~> b6989586621679494394)) -> Type) (a6989586621679494412 :: b6989586621679494394) = (Maybe_Sym1 a6989586621679494412 a6989586621679494395 :: TyFun (a6989586621679494395 ~> b6989586621679494394) (Maybe a6989586621679494395 ~> b6989586621679494394) -> Type)

data Maybe_Sym1 (a6989586621679494412 :: b6989586621679494394) :: forall a6989586621679494395. (~>) ((~>) a6989586621679494395 b6989586621679494394) ((~>) (Maybe a6989586621679494395) b6989586621679494394)

Instances

SingI d => SingI (Maybe_Sym1 d a :: TyFun (a ~> b) (Maybe a ~> b) -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

sing :: Sing (Maybe_Sym1 d a)

SuppressUnusedWarnings (Maybe_Sym1 a6989586621679494412 a6989586621679494395 :: TyFun (a6989586621679494395 ~> b6989586621679494394) (Maybe a6989586621679494395 ~> b6989586621679494394) -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

suppressUnusedWarnings :: ()

type Apply (Maybe_Sym1 a6989586621679494412 a6989586621679494395 :: TyFun (a6989586621679494395 ~> b6989586621679494394) (Maybe a6989586621679494395 ~> b6989586621679494394) -> Type) (a6989586621679494413 :: a6989586621679494395 ~> b6989586621679494394)

Defined in Data.Singletons.Prelude.Maybe

type Apply (Maybe_Sym1 a6989586621679494412 a6989586621679494395 :: TyFun (a6989586621679494395 ~> b6989586621679494394) (Maybe a6989586621679494395 ~> b6989586621679494394) -> Type) (a6989586621679494413 :: a6989586621679494395 ~> b6989586621679494394) = Maybe_Sym2 a6989586621679494412 a6989586621679494413

data Maybe_Sym2 (a6989586621679494412 :: b6989586621679494394) (a6989586621679494413 :: (~>) a6989586621679494395 b6989586621679494394) :: (~>) (Maybe a6989586621679494395) b6989586621679494394

Instances

(SingI d1, SingI d2) => SingI (Maybe_Sym2 d1 d2 :: TyFun (Maybe a) b -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

sing :: Sing (Maybe_Sym2 d1 d2)

SuppressUnusedWarnings (Maybe_Sym2 a6989586621679494413 a6989586621679494412 :: TyFun (Maybe a6989586621679494395) b6989586621679494394 -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

suppressUnusedWarnings :: ()

type Apply (Maybe_Sym2 a6989586621679494413 a6989586621679494412 :: TyFun (Maybe a) b -> Type) (a6989586621679494414 :: Maybe a)

Defined in Data.Singletons.Prelude.Maybe

type Apply (Maybe_Sym2 a6989586621679494413 a6989586621679494412 :: TyFun (Maybe a) b -> Type) (a6989586621679494414 :: Maybe a) = Maybe_ a6989586621679494413 a6989586621679494412 a6989586621679494414

type Maybe_Sym3 (a6989586621679494412 :: b6989586621679494394) (a6989586621679494413 :: (~>) a6989586621679494395 b6989586621679494394) (a6989586621679494414 :: Maybe a6989586621679494395) = Maybe_ a6989586621679494412 a6989586621679494413 a6989586621679494414

data IsJustSym0 :: forall a6989586621679495824. (~>) (Maybe a6989586621679495824) Bool

Instances

SingI (IsJustSym0 :: TyFun (Maybe a) Bool -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

sing :: Sing IsJustSym0

SuppressUnusedWarnings (IsJustSym0 :: TyFun (Maybe a6989586621679495824) Bool -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

suppressUnusedWarnings :: ()

type Apply (IsJustSym0 :: TyFun (Maybe a) Bool -> Type) (a6989586621679496028 :: Maybe a)

Defined in Data.Singletons.Prelude.Maybe

type Apply (IsJustSym0 :: TyFun (Maybe a) Bool -> Type) (a6989586621679496028 :: Maybe a) = IsJust a6989586621679496028

type IsJustSym1 (a6989586621679496028 :: Maybe a6989586621679495824) = IsJust a6989586621679496028

data IsNothingSym0 :: forall a6989586621679495823. (~>) (Maybe a6989586621679495823) Bool

Instances

SingI (IsNothingSym0 :: TyFun (Maybe a) Bool -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

sing :: Sing IsNothingSym0

SuppressUnusedWarnings (IsNothingSym0 :: TyFun (Maybe a6989586621679495823) Bool -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

suppressUnusedWarnings :: ()

type Apply (IsNothingSym0 :: TyFun (Maybe a) Bool -> Type) (a6989586621679496026 :: Maybe a)

Defined in Data.Singletons.Prelude.Maybe

type Apply (IsNothingSym0 :: TyFun (Maybe a) Bool -> Type) (a6989586621679496026 :: Maybe a) = IsNothing a6989586621679496026

type IsNothingSym1 (a6989586621679496026 :: Maybe a6989586621679495823) = IsNothing a6989586621679496026

data FromJustSym0 :: forall a6989586621679495822. (~>) (Maybe a6989586621679495822) a6989586621679495822

Instances

SingI (FromJustSym0 :: TyFun (Maybe a) a -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

sing :: Sing FromJustSym0

SuppressUnusedWarnings (FromJustSym0 :: TyFun (Maybe a6989586621679495822) a6989586621679495822 -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

suppressUnusedWarnings :: ()

type Apply (FromJustSym0 :: TyFun (Maybe a) a -> Type) (a6989586621679496023 :: Maybe a)

Defined in Data.Singletons.Prelude.Maybe

type Apply (FromJustSym0 :: TyFun (Maybe a) a -> Type) (a6989586621679496023 :: Maybe a) = FromJust a6989586621679496023

type FromJustSym1 (a6989586621679496023 :: Maybe a6989586621679495822) = FromJust a6989586621679496023

data FromMaybeSym0 :: forall a6989586621679495821. (~>) a6989586621679495821 ((~>) (Maybe a6989586621679495821) a6989586621679495821)

Instances

SingI (FromMaybeSym0 :: TyFun a (Maybe a ~> a) -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

sing :: Sing FromMaybeSym0

SuppressUnusedWarnings (FromMaybeSym0 :: TyFun a6989586621679495821 (Maybe a6989586621679495821 ~> a6989586621679495821) -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

suppressUnusedWarnings :: ()

type Apply (FromMaybeSym0 :: TyFun a6989586621679495821 (Maybe a6989586621679495821 ~> a6989586621679495821) -> Type) (a6989586621679496013 :: a6989586621679495821)

Defined in Data.Singletons.Prelude.Maybe

type Apply (FromMaybeSym0 :: TyFun a6989586621679495821 (Maybe a6989586621679495821 ~> a6989586621679495821) -> Type) (a6989586621679496013 :: a6989586621679495821) = FromMaybeSym1 a6989586621679496013

data FromMaybeSym1 (a6989586621679496013 :: a6989586621679495821) :: (~>) (Maybe a6989586621679495821) a6989586621679495821

Instances

SingI d => SingI (FromMaybeSym1 d :: TyFun (Maybe a) a -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

sing :: Sing (FromMaybeSym1 d)

SuppressUnusedWarnings (FromMaybeSym1 a6989586621679496013 :: TyFun (Maybe a6989586621679495821) a6989586621679495821 -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

suppressUnusedWarnings :: ()

type Apply (FromMaybeSym1 a6989586621679496013 :: TyFun (Maybe a) a -> Type) (a6989586621679496014 :: Maybe a)

Defined in Data.Singletons.Prelude.Maybe

type Apply (FromMaybeSym1 a6989586621679496013 :: TyFun (Maybe a) a -> Type) (a6989586621679496014 :: Maybe a) = FromMaybe a6989586621679496013 a6989586621679496014

type FromMaybeSym2 (a6989586621679496013 :: a6989586621679495821) (a6989586621679496014 :: Maybe a6989586621679495821) = FromMaybe a6989586621679496013 a6989586621679496014

data ListToMaybeSym0 :: forall a6989586621679495819. (~>) [a6989586621679495819] (Maybe a6989586621679495819)

Instances

SingI (ListToMaybeSym0 :: TyFun [a] (Maybe a) -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

sing :: Sing ListToMaybeSym0

SuppressUnusedWarnings (ListToMaybeSym0 :: TyFun [a6989586621679495819] (Maybe a6989586621679495819) -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

suppressUnusedWarnings :: ()

type Apply (ListToMaybeSym0 :: TyFun [a] (Maybe a) -> Type) (a6989586621679496007 :: [a])

Defined in Data.Singletons.Prelude.Maybe

type Apply (ListToMaybeSym0 :: TyFun [a] (Maybe a) -> Type) (a6989586621679496007 :: [a]) = ListToMaybe a6989586621679496007

type ListToMaybeSym1 (a6989586621679496007 :: [a6989586621679495819]) = ListToMaybe a6989586621679496007

data MaybeToListSym0 :: forall a6989586621679495820. (~>) (Maybe a6989586621679495820) [a6989586621679495820]

Instances

SingI (MaybeToListSym0 :: TyFun (Maybe a) [a] -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

sing :: Sing MaybeToListSym0

SuppressUnusedWarnings (MaybeToListSym0 :: TyFun (Maybe a6989586621679495820) [a6989586621679495820] -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

suppressUnusedWarnings :: ()

type Apply (MaybeToListSym0 :: TyFun (Maybe a) [a] -> Type) (a6989586621679496010 :: Maybe a)

Defined in Data.Singletons.Prelude.Maybe

type Apply (MaybeToListSym0 :: TyFun (Maybe a) [a] -> Type) (a6989586621679496010 :: Maybe a) = MaybeToList a6989586621679496010

type MaybeToListSym1 (a6989586621679496010 :: Maybe a6989586621679495820) = MaybeToList a6989586621679496010

data CatMaybesSym0 :: forall a6989586621679495818. (~>) [Maybe a6989586621679495818] [a6989586621679495818]

Instances

SingI (CatMaybesSym0 :: TyFun [Maybe a] [a] -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

sing :: Sing CatMaybesSym0

SuppressUnusedWarnings (CatMaybesSym0 :: TyFun [Maybe a6989586621679495818] [a6989586621679495818] -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

suppressUnusedWarnings :: ()

type Apply (CatMaybesSym0 :: TyFun [Maybe a] [a] -> Type) (a6989586621679496002 :: [Maybe a])

Defined in Data.Singletons.Prelude.Maybe

type Apply (CatMaybesSym0 :: TyFun [Maybe a] [a] -> Type) (a6989586621679496002 :: [Maybe a]) = CatMaybes a6989586621679496002

type CatMaybesSym1 (a6989586621679496002 :: [Maybe a6989586621679495818]) = CatMaybes a6989586621679496002

data MapMaybeSym0 :: forall a6989586621679495816 b6989586621679495817. (~>) ((~>) a6989586621679495816 (Maybe b6989586621679495817)) ((~>) [a6989586621679495816] [b6989586621679495817])

Instances

SingI (MapMaybeSym0 :: TyFun (a ~> Maybe b) ([a] ~> [b]) -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

sing :: Sing MapMaybeSym0

SuppressUnusedWarnings (MapMaybeSym0 :: TyFun (a6989586621679495816 ~> Maybe b6989586621679495817) ([a6989586621679495816] ~> [b6989586621679495817]) -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

suppressUnusedWarnings :: ()

type Apply (MapMaybeSym0 :: TyFun (a6989586621679495816 ~> Maybe b6989586621679495817) ([a6989586621679495816] ~> [b6989586621679495817]) -> Type) (a6989586621679495983 :: a6989586621679495816 ~> Maybe b6989586621679495817)

Defined in Data.Singletons.Prelude.Maybe

type Apply (MapMaybeSym0 :: TyFun (a6989586621679495816 ~> Maybe b6989586621679495817) ([a6989586621679495816] ~> [b6989586621679495817]) -> Type) (a6989586621679495983 :: a6989586621679495816 ~> Maybe b6989586621679495817) = MapMaybeSym1 a6989586621679495983

data MapMaybeSym1 (a6989586621679495983 :: (~>) a6989586621679495816 (Maybe b6989586621679495817)) :: (~>) [a6989586621679495816] [b6989586621679495817]

Instances

SingI d => SingI (MapMaybeSym1 d :: TyFun [a] [b] -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

sing :: Sing (MapMaybeSym1 d)

SuppressUnusedWarnings (MapMaybeSym1 a6989586621679495983 :: TyFun [a6989586621679495816] [b6989586621679495817] -> Type)

Defined in Data.Singletons.Prelude.Maybe

Methods

suppressUnusedWarnings :: ()

type Apply (MapMaybeSym1 a6989586621679495983 :: TyFun [a] [b] -> Type) (a6989586621679495984 :: [a])

Defined in Data.Singletons.Prelude.Maybe

type Apply (MapMaybeSym1 a6989586621679495983 :: TyFun [a] [b] -> Type) (a6989586621679495984 :: [a]) = MapMaybe a6989586621679495983 a6989586621679495984

type MapMaybeSym2 (a6989586621679495983 :: (~>) a6989586621679495816 (Maybe b6989586621679495817)) (a6989586621679495984 :: [a6989586621679495816]) = MapMaybe a6989586621679495983 a6989586621679495984