singletons-2.5.1: A framework for generating singleton types

Copyright(C) 2013-2014 Richard Eisenberg Jan Stolarek
LicenseBSD-style (see LICENSE)
MaintainerRyan Scott
Stabilityexperimental
Portabilitynon-portable
Safe HaskellNone
LanguageHaskell2010

Data.Singletons.Prelude.Maybe

Contents

Description

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.

Synopsis

Documentation

data family Sing :: k -> Type Source #

The singleton kind-indexed data family.

Instances
SDecide k => TestCoercion (Sing :: k -> Type) Source # 
Instance details

Defined in Data.Singletons.Decide

Methods

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

SDecide k => TestEquality (Sing :: k -> Type) Source # 
Instance details

Defined in Data.Singletons.Decide

Methods

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

Show (SSymbol s) Source # 
Instance details

Defined in Data.Singletons.ShowSing

Show (SNat n) Source # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> SNat n -> ShowS Source #

show :: SNat n -> String Source #

showList :: [SNat n] -> ShowS Source #

Eq (Sing a) Source # 
Instance details

Defined in Data.Singletons.TypeRepTYPE

Methods

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

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

Ord (Sing a) Source # 
Instance details

Defined in Data.Singletons.TypeRepTYPE

Methods

compare :: Sing a -> Sing a -> Ordering Source #

(<) :: Sing a -> Sing a -> Bool Source #

(<=) :: Sing a -> Sing a -> Bool Source #

(>) :: Sing a -> Sing a -> Bool Source #

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

max :: Sing a -> Sing a -> Sing a Source #

min :: Sing a -> Sing a -> Sing a Source #

Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

(ShowSing a, ShowSing [a]) => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

ShowSing a => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

(ShowSing a, ShowSing b) => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

Show (Sing a) Source # 
Instance details

Defined in Data.Singletons.TypeRepTYPE

Methods

showsPrec :: Int -> Sing a -> ShowS Source #

show :: Sing a -> String Source #

showList :: [Sing a] -> ShowS Source #

Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

(ShowSing a, ShowSing b) => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

(ShowSing a, ShowSing b, ShowSing c) => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

(ShowSing a, ShowSing b, ShowSing c, ShowSing d) => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e) => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e, ShowSing f) => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e, ShowSing f, ShowSing g) => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

ShowSing a => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

ShowSing a => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

(ShowSing a, ShowSing b) => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

ShowSing a => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

ShowSing a => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

ShowSing m => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

ShowSing (Maybe a) => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

ShowSing a => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

ShowSing (Maybe a) => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.Prelude.Monoid

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

ShowSing (Maybe a) => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.Prelude.Monoid

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

ShowSing a => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

ShowSing Bool => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

ShowSing Bool => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

ShowSing a => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

ShowSing a => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

(ShowSing a, ShowSing [a]) => Show (Sing z) Source # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> Sing z -> ShowS Source #

show :: Sing z -> String Source #

showList :: [Sing z] -> ShowS Source #

data Sing (a :: Bool) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (a :: Bool) where
data Sing (a :: Ordering) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (a :: Ordering) where
data Sing (n :: Nat) Source # 
Instance details

Defined in Data.Singletons.TypeLits.Internal

data Sing (n :: Nat) where
data Sing (n :: Symbol) Source # 
Instance details

Defined in Data.Singletons.TypeLits.Internal

data Sing (n :: Symbol) where
data Sing (a :: ()) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (a :: ()) where
data Sing (a :: Void) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (a :: Void)
data Sing (a :: All) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (a :: All) where
data Sing (a :: Any) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (a :: Any) where
data Sing (a :: PErrorMessage) Source # 
Instance details

Defined in Data.Singletons.TypeError

data Sing (a :: PErrorMessage) where
data Sing (b :: [a]) Source # 
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) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (b :: Maybe a) where
newtype Sing (a :: TYPE rep) 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 -> 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.

Instance details

Defined in Data.Singletons.TypeRepTYPE

newtype Sing (a :: TYPE rep) = STypeRep (TypeRep a)
data Sing (b :: Min a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (b :: Min a) where
data Sing (b :: Max a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (b :: Max a) where
data Sing (b :: First a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (b :: First a) where
data Sing (b :: Last a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (b :: Last a) where
data Sing (a :: WrappedMonoid m) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (a :: WrappedMonoid m) where
data Sing (b :: Option a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (b :: Option a) where
data Sing (b :: Identity a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (b :: Identity a) where
data Sing (b :: First a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Monoid

data Sing (b :: First a) where
data Sing (b :: Last a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Monoid

data Sing (b :: Last a) where
data Sing (b :: Dual a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (b :: Dual a) where
data Sing (b :: Sum a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (b :: Sum a) where
data Sing (b :: Product a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (b :: Product a) where
data Sing (b :: Down a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Ord

data Sing (b :: Down a) where
data Sing (b :: NonEmpty a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (b :: NonEmpty a) where
data Sing (c :: Either a b) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (c :: Either a b) where
data Sing (c :: (a, b)) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (c :: (a, b)) where
data Sing (c :: Arg a b) Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

data Sing (c :: Arg a b) where
newtype Sing (f :: k1 ~> k2) Source # 
Instance details

Defined in Data.Singletons.Internal

newtype Sing (f :: k1 ~> k2) = SLambda {}
data Sing (d :: (a, b, c)) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (d :: (a, b, c)) where
data Sing (c :: Const a b) Source # 
Instance details

Defined in Data.Singletons.Prelude.Const

data Sing (c :: Const a b) where
data Sing (e :: (a, b, c, d)) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (e :: (a, b, c, d)) where
data Sing (f :: (a, b, c, d, e)) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (f :: (a, b, c, d, e)) where
data Sing (g :: (a, b, c, d, e, f)) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (g :: (a, b, c, d, e, f)) where
data Sing (h :: (a, b, c, d, e, f, g)) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (h :: (a, b, c, d, e, f, g)) where

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) Source #

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 Source #

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

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) Source #

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 ... Source #

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

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

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

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

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) Source #

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

Equations

FromMaybe d x = Case_6989586621679496774 d x x 

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

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

Equations

ListToMaybe '[] = NothingSym0 
ListToMaybe ((:) a _) = Apply JustSym0 a 

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

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

Equations

MaybeToList Nothing = '[] 
MaybeToList (Just x) = Apply (Apply (:@#@$) x) '[] 

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

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

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]) Source #

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

Equations

MapMaybe _ '[] = '[] 
MapMaybe f ((:) x xs) = Case_6989586621679496753 f x xs (Let6989586621679496749Scrutinee_6989586621679496606Sym3 f x xs) 

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

Defunctionalization symbols

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

Instances
SingI (JustSym0 :: TyFun a (Maybe a) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

SuppressUnusedWarnings (JustSym0 :: TyFun a3530822107858468865 (Maybe a3530822107858468865) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply (JustSym0 :: TyFun a (Maybe a) -> Type) (t6989586621679301555 :: a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply (JustSym0 :: TyFun a (Maybe a) -> Type) (t6989586621679301555 :: a) = Just t6989586621679301555

type JustSym1 (t6989586621679301555 :: a3530822107858468865) = Just t6989586621679301555 Source #

data Maybe_Sym0 :: forall a6989586621679495150 b6989586621679495149. (~>) b6989586621679495149 ((~>) ((~>) a6989586621679495150 b6989586621679495149) ((~>) (Maybe a6989586621679495150) b6989586621679495149)) Source #

Instances
SingI (Maybe_Sym0 :: TyFun b ((a ~> b) ~> (Maybe a ~> b)) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

SuppressUnusedWarnings (Maybe_Sym0 :: TyFun b6989586621679495149 ((a6989586621679495150 ~> b6989586621679495149) ~> (Maybe a6989586621679495150 ~> b6989586621679495149)) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (Maybe_Sym0 :: TyFun b6989586621679495149 ((a6989586621679495150 ~> b6989586621679495149) ~> (Maybe a6989586621679495150 ~> b6989586621679495149)) -> Type) (a6989586621679495167 :: b6989586621679495149) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (Maybe_Sym0 :: TyFun b6989586621679495149 ((a6989586621679495150 ~> b6989586621679495149) ~> (Maybe a6989586621679495150 ~> b6989586621679495149)) -> Type) (a6989586621679495167 :: b6989586621679495149) = (Maybe_Sym1 a6989586621679495167 a6989586621679495150 :: TyFun (a6989586621679495150 ~> b6989586621679495149) (Maybe a6989586621679495150 ~> b6989586621679495149) -> Type)

data Maybe_Sym1 (a6989586621679495167 :: b6989586621679495149) :: forall a6989586621679495150. (~>) ((~>) a6989586621679495150 b6989586621679495149) ((~>) (Maybe a6989586621679495150) b6989586621679495149) Source #

Instances
SingI d => SingI (Maybe_Sym1 d a :: TyFun (a ~> b) (Maybe a ~> b) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

Methods

sing :: Sing (Maybe_Sym1 d a) Source #

SuppressUnusedWarnings (Maybe_Sym1 a6989586621679495167 a6989586621679495150 :: TyFun (a6989586621679495150 ~> b6989586621679495149) (Maybe a6989586621679495150 ~> b6989586621679495149) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (Maybe_Sym1 a6989586621679495167 a6989586621679495150 :: TyFun (a6989586621679495150 ~> b6989586621679495149) (Maybe a6989586621679495150 ~> b6989586621679495149) -> Type) (a6989586621679495168 :: a6989586621679495150 ~> b6989586621679495149) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (Maybe_Sym1 a6989586621679495167 a6989586621679495150 :: TyFun (a6989586621679495150 ~> b6989586621679495149) (Maybe a6989586621679495150 ~> b6989586621679495149) -> Type) (a6989586621679495168 :: a6989586621679495150 ~> b6989586621679495149) = Maybe_Sym2 a6989586621679495167 a6989586621679495168

data Maybe_Sym2 (a6989586621679495167 :: b6989586621679495149) (a6989586621679495168 :: (~>) a6989586621679495150 b6989586621679495149) :: (~>) (Maybe a6989586621679495150) b6989586621679495149 Source #

Instances
(SingI d1, SingI d2) => SingI (Maybe_Sym2 d1 d2 :: TyFun (Maybe a) b -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

Methods

sing :: Sing (Maybe_Sym2 d1 d2) Source #

SuppressUnusedWarnings (Maybe_Sym2 a6989586621679495168 a6989586621679495167 :: TyFun (Maybe a6989586621679495150) b6989586621679495149 -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (Maybe_Sym2 a6989586621679495168 a6989586621679495167 :: TyFun (Maybe a) b -> Type) (a6989586621679495169 :: Maybe a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (Maybe_Sym2 a6989586621679495168 a6989586621679495167 :: TyFun (Maybe a) b -> Type) (a6989586621679495169 :: Maybe a) = Maybe_ a6989586621679495168 a6989586621679495167 a6989586621679495169

type Maybe_Sym3 (a6989586621679495167 :: b6989586621679495149) (a6989586621679495168 :: (~>) a6989586621679495150 b6989586621679495149) (a6989586621679495169 :: Maybe a6989586621679495150) = Maybe_ a6989586621679495167 a6989586621679495168 a6989586621679495169 Source #

data IsJustSym0 :: forall a6989586621679496579. (~>) (Maybe a6989586621679496579) Bool Source #

Instances
SingI (IsJustSym0 :: TyFun (Maybe a) Bool -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

SuppressUnusedWarnings (IsJustSym0 :: TyFun (Maybe a6989586621679496579) Bool -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (IsJustSym0 :: TyFun (Maybe a) Bool -> Type) (a6989586621679496783 :: Maybe a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (IsJustSym0 :: TyFun (Maybe a) Bool -> Type) (a6989586621679496783 :: Maybe a) = IsJust a6989586621679496783

type IsJustSym1 (a6989586621679496783 :: Maybe a6989586621679496579) = IsJust a6989586621679496783 Source #

data IsNothingSym0 :: forall a6989586621679496578. (~>) (Maybe a6989586621679496578) Bool Source #

Instances
SingI (IsNothingSym0 :: TyFun (Maybe a) Bool -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

SuppressUnusedWarnings (IsNothingSym0 :: TyFun (Maybe a6989586621679496578) Bool -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (IsNothingSym0 :: TyFun (Maybe a) Bool -> Type) (a6989586621679496781 :: Maybe a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (IsNothingSym0 :: TyFun (Maybe a) Bool -> Type) (a6989586621679496781 :: Maybe a) = IsNothing a6989586621679496781

type IsNothingSym1 (a6989586621679496781 :: Maybe a6989586621679496578) = IsNothing a6989586621679496781 Source #

data FromJustSym0 :: forall a6989586621679496577. (~>) (Maybe a6989586621679496577) a6989586621679496577 Source #

Instances
SingI (FromJustSym0 :: TyFun (Maybe a) a -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

SuppressUnusedWarnings (FromJustSym0 :: TyFun (Maybe a6989586621679496577) a6989586621679496577 -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (FromJustSym0 :: TyFun (Maybe a) a -> Type) (a6989586621679496778 :: Maybe a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (FromJustSym0 :: TyFun (Maybe a) a -> Type) (a6989586621679496778 :: Maybe a) = FromJust a6989586621679496778

type FromJustSym1 (a6989586621679496778 :: Maybe a6989586621679496577) = FromJust a6989586621679496778 Source #

data FromMaybeSym0 :: forall a6989586621679496576. (~>) a6989586621679496576 ((~>) (Maybe a6989586621679496576) a6989586621679496576) Source #

Instances
SingI (FromMaybeSym0 :: TyFun a (Maybe a ~> a) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

SuppressUnusedWarnings (FromMaybeSym0 :: TyFun a6989586621679496576 (Maybe a6989586621679496576 ~> a6989586621679496576) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (FromMaybeSym0 :: TyFun a6989586621679496576 (Maybe a6989586621679496576 ~> a6989586621679496576) -> Type) (a6989586621679496768 :: a6989586621679496576) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (FromMaybeSym0 :: TyFun a6989586621679496576 (Maybe a6989586621679496576 ~> a6989586621679496576) -> Type) (a6989586621679496768 :: a6989586621679496576) = FromMaybeSym1 a6989586621679496768

data FromMaybeSym1 (a6989586621679496768 :: a6989586621679496576) :: (~>) (Maybe a6989586621679496576) a6989586621679496576 Source #

Instances
SingI d => SingI (FromMaybeSym1 d :: TyFun (Maybe a) a -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

SuppressUnusedWarnings (FromMaybeSym1 a6989586621679496768 :: TyFun (Maybe a6989586621679496576) a6989586621679496576 -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (FromMaybeSym1 a6989586621679496768 :: TyFun (Maybe a) a -> Type) (a6989586621679496769 :: Maybe a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (FromMaybeSym1 a6989586621679496768 :: TyFun (Maybe a) a -> Type) (a6989586621679496769 :: Maybe a) = FromMaybe a6989586621679496768 a6989586621679496769

type FromMaybeSym2 (a6989586621679496768 :: a6989586621679496576) (a6989586621679496769 :: Maybe a6989586621679496576) = FromMaybe a6989586621679496768 a6989586621679496769 Source #

data ListToMaybeSym0 :: forall a6989586621679496574. (~>) [a6989586621679496574] (Maybe a6989586621679496574) Source #

Instances
SingI (ListToMaybeSym0 :: TyFun [a] (Maybe a) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

SuppressUnusedWarnings (ListToMaybeSym0 :: TyFun [a6989586621679496574] (Maybe a6989586621679496574) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (ListToMaybeSym0 :: TyFun [a] (Maybe a) -> Type) (a6989586621679496762 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (ListToMaybeSym0 :: TyFun [a] (Maybe a) -> Type) (a6989586621679496762 :: [a]) = ListToMaybe a6989586621679496762

type ListToMaybeSym1 (a6989586621679496762 :: [a6989586621679496574]) = ListToMaybe a6989586621679496762 Source #

data MaybeToListSym0 :: forall a6989586621679496575. (~>) (Maybe a6989586621679496575) [a6989586621679496575] Source #

Instances
SingI (MaybeToListSym0 :: TyFun (Maybe a) [a] -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

SuppressUnusedWarnings (MaybeToListSym0 :: TyFun (Maybe a6989586621679496575) [a6989586621679496575] -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (MaybeToListSym0 :: TyFun (Maybe a) [a] -> Type) (a6989586621679496765 :: Maybe a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (MaybeToListSym0 :: TyFun (Maybe a) [a] -> Type) (a6989586621679496765 :: Maybe a) = MaybeToList a6989586621679496765

type MaybeToListSym1 (a6989586621679496765 :: Maybe a6989586621679496575) = MaybeToList a6989586621679496765 Source #

data CatMaybesSym0 :: forall a6989586621679496573. (~>) [Maybe a6989586621679496573] [a6989586621679496573] Source #

Instances
SingI (CatMaybesSym0 :: TyFun [Maybe a] [a] -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

SuppressUnusedWarnings (CatMaybesSym0 :: TyFun [Maybe a6989586621679496573] [a6989586621679496573] -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (CatMaybesSym0 :: TyFun [Maybe a] [a] -> Type) (a6989586621679496757 :: [Maybe a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (CatMaybesSym0 :: TyFun [Maybe a] [a] -> Type) (a6989586621679496757 :: [Maybe a]) = CatMaybes a6989586621679496757

type CatMaybesSym1 (a6989586621679496757 :: [Maybe a6989586621679496573]) = CatMaybes a6989586621679496757 Source #

data MapMaybeSym0 :: forall a6989586621679496571 b6989586621679496572. (~>) ((~>) a6989586621679496571 (Maybe b6989586621679496572)) ((~>) [a6989586621679496571] [b6989586621679496572]) Source #

Instances
SingI (MapMaybeSym0 :: TyFun (a ~> Maybe b) ([a] ~> [b]) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

SuppressUnusedWarnings (MapMaybeSym0 :: TyFun (a6989586621679496571 ~> Maybe b6989586621679496572) ([a6989586621679496571] ~> [b6989586621679496572]) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (MapMaybeSym0 :: TyFun (a6989586621679496571 ~> Maybe b6989586621679496572) ([a6989586621679496571] ~> [b6989586621679496572]) -> Type) (a6989586621679496738 :: a6989586621679496571 ~> Maybe b6989586621679496572) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (MapMaybeSym0 :: TyFun (a6989586621679496571 ~> Maybe b6989586621679496572) ([a6989586621679496571] ~> [b6989586621679496572]) -> Type) (a6989586621679496738 :: a6989586621679496571 ~> Maybe b6989586621679496572) = MapMaybeSym1 a6989586621679496738

data MapMaybeSym1 (a6989586621679496738 :: (~>) a6989586621679496571 (Maybe b6989586621679496572)) :: (~>) [a6989586621679496571] [b6989586621679496572] Source #

Instances
SingI d => SingI (MapMaybeSym1 d :: TyFun [a] [b] -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

Methods

sing :: Sing (MapMaybeSym1 d) Source #

SuppressUnusedWarnings (MapMaybeSym1 a6989586621679496738 :: TyFun [a6989586621679496571] [b6989586621679496572] -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (MapMaybeSym1 a6989586621679496738 :: TyFun [a] [b] -> Type) (a6989586621679496739 :: [a]) Source # 
Instance details

Defined in Data.Singletons.Prelude.Maybe

type Apply (MapMaybeSym1 a6989586621679496738 :: TyFun [a] [b] -> Type) (a6989586621679496739 :: [a]) = MapMaybe a6989586621679496738 a6989586621679496739

type MapMaybeSym2 (a6989586621679496738 :: (~>) a6989586621679496571 (Maybe b6989586621679496572)) (a6989586621679496739 :: [a6989586621679496571]) = MapMaybe a6989586621679496738 a6989586621679496739 Source #