Copyright	(C) 2013 Richard Eisenberg
License	BSD-style (see LICENSE)
Maintainer	Ryan Scott
Stability	experimental
Portability	non-portable
Safe Haskell	Safe-Inferred
Language	Haskell2010

Data.Tuple.Singletons

Contents

Singleton definitions
Singletons from Data.Tuple
Defunctionalization symbols

Description

Defines functions and datatypes relating to the singleton for tuples, including singled versions of all the definitions in Data.Tuple.

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.Tuple. Also, please excuse the apparent repeated variable names. This is due to an interaction between Template Haskell and Haddock.

Synopsis

type family Sing :: k -> Type
data STuple0 :: () -> Type where
- STuple0 :: STuple0 ('() :: ())
data STuple2 :: forall (a :: Type) (b :: Type). (a, b) -> Type where
- STuple2 :: forall (a :: Type) (b :: Type) (n :: a) (n :: b). (Sing n) -> (Sing n) -> STuple2 ('(n, n) :: (a :: Type, b :: Type))
data STuple3 :: forall (a :: Type) (b :: Type) (c :: Type). (a, b, c) -> Type where
- STuple3 :: forall (a :: Type) (b :: Type) (c :: Type) (n :: a) (n :: b) (n :: c). (Sing n) -> (Sing n) -> (Sing n) -> STuple3 ('(n, n, n) :: (a :: Type, b :: Type, c :: Type))
data STuple4 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type). (a, b, c, d) -> Type where
- STuple4 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (n :: a) (n :: b) (n :: c) (n :: d). (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> STuple4 ('(n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type))
data STuple5 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type). (a, b, c, d, e) -> Type where
- STuple5 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e). (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> STuple5 ('(n, n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type))
data STuple6 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type). (a, b, c, d, e, f) -> Type where
- STuple6 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e) (n :: f). (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> STuple6 ('(n, n, n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))
data STuple7 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type) (g :: Type). (a, b, c, d, e, f, g) -> Type where
- STuple7 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type) (g :: Type) (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) -> STuple7 ('(n, n, n, n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))
type family Fst (a :: (a, b)) :: a where ...
sFst :: forall a b (t :: (a, b)). Sing t -> Sing (Apply FstSym0 t :: a)
type family Snd (a :: (a, b)) :: b where ...
sSnd :: forall a b (t :: (a, b)). Sing t -> Sing (Apply SndSym0 t :: b)
type family Curry (a :: (~>) (a, b) c) (a :: a) (a :: b) :: c where ...
sCurry :: forall a b c (t :: (~>) (a, b) c) (t :: a) (t :: b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply CurrySym0 t) t) t :: c)
type family Uncurry (a :: (~>) a ((~>) b c)) (a :: (a, b)) :: c where ...
sUncurry :: forall a b c (t :: (~>) a ((~>) b c)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply UncurrySym0 t) t :: c)
type family Swap (a :: (a, b)) :: (b, a) where ...
sSwap :: forall a b (t :: (a, b)). Sing t -> Sing (Apply SwapSym0 t :: (b, a))
type family Tuple0Sym0 :: () where ...
data Tuple2Sym0 :: (~>) a ((~>) b (a :: Type, b :: Type))
data Tuple2Sym1 (a6989586621679042597 :: a) :: (~>) b (a :: Type, b :: Type)
type family Tuple2Sym2 (a6989586621679042597 :: a) (a6989586621679042598 :: b) :: (a :: Type, b :: Type) where ...
data Tuple3Sym0 :: (~>) a ((~>) b ((~>) c (a :: Type, b :: Type, c :: Type)))
data Tuple3Sym1 (a6989586621679042628 :: a) :: (~>) b ((~>) c (a :: Type, b :: Type, c :: Type))
data Tuple3Sym2 (a6989586621679042628 :: a) (a6989586621679042629 :: b) :: (~>) c (a :: Type, b :: Type, c :: Type)
type family Tuple3Sym3 (a6989586621679042628 :: a) (a6989586621679042629 :: b) (a6989586621679042630 :: c) :: (a :: Type, b :: Type, c :: Type) where ...
data Tuple4Sym0 :: (~>) a ((~>) b ((~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type))))
data Tuple4Sym1 (a6989586621679042677 :: a) :: (~>) b ((~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type)))
data Tuple4Sym2 (a6989586621679042677 :: a) (a6989586621679042678 :: b) :: (~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type))
data Tuple4Sym3 (a6989586621679042677 :: a) (a6989586621679042678 :: b) (a6989586621679042679 :: c) :: (~>) d (a :: Type, b :: Type, c :: Type, d :: Type)
type family Tuple4Sym4 (a6989586621679042677 :: a) (a6989586621679042678 :: b) (a6989586621679042679 :: c) (a6989586621679042680 :: d) :: (a :: Type, b :: Type, c :: Type, d :: Type) where ...
data Tuple5Sym0 :: (~>) a ((~>) b ((~>) c ((~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type)))))
data Tuple5Sym1 (a6989586621679042746 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type))))
data Tuple5Sym2 (a6989586621679042746 :: a) (a6989586621679042747 :: b) :: (~>) c ((~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type)))
data Tuple5Sym3 (a6989586621679042746 :: a) (a6989586621679042747 :: b) (a6989586621679042748 :: c) :: (~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type))
data Tuple5Sym4 (a6989586621679042746 :: a) (a6989586621679042747 :: b) (a6989586621679042748 :: c) (a6989586621679042749 :: d) :: (~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type)
type family Tuple5Sym5 (a6989586621679042746 :: a) (a6989586621679042747 :: b) (a6989586621679042748 :: c) (a6989586621679042749 :: d) (a6989586621679042750 :: e) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type) where ...
data Tuple6Sym0 :: (~>) a ((~>) b ((~>) c ((~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))))))
data Tuple6Sym1 (a6989586621679042837 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)))))
data Tuple6Sym2 (a6989586621679042837 :: a) (a6989586621679042838 :: b) :: (~>) c ((~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))))
data Tuple6Sym3 (a6989586621679042837 :: a) (a6989586621679042838 :: b) (a6989586621679042839 :: c) :: (~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)))
data Tuple6Sym4 (a6989586621679042837 :: a) (a6989586621679042838 :: b) (a6989586621679042839 :: c) (a6989586621679042840 :: d) :: (~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))
data Tuple6Sym5 (a6989586621679042837 :: a) (a6989586621679042838 :: b) (a6989586621679042839 :: c) (a6989586621679042840 :: d) (a6989586621679042841 :: e) :: (~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)
type family Tuple6Sym6 (a6989586621679042837 :: a) (a6989586621679042838 :: b) (a6989586621679042839 :: c) (a6989586621679042840 :: d) (a6989586621679042841 :: e) (a6989586621679042842 :: f) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type) where ...
data Tuple7Sym0 :: (~>) a ((~>) b ((~>) c ((~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)))))))
data Tuple7Sym1 (a6989586621679042952 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))))))
data Tuple7Sym2 (a6989586621679042952 :: a) (a6989586621679042953 :: b) :: (~>) c ((~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)))))
data Tuple7Sym3 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) :: (~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))))
data Tuple7Sym4 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) (a6989586621679042955 :: d) :: (~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)))
data Tuple7Sym5 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) (a6989586621679042955 :: d) (a6989586621679042956 :: e) :: (~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))
data Tuple7Sym6 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) (a6989586621679042955 :: d) (a6989586621679042956 :: e) (a6989586621679042957 :: f) :: (~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)
type family Tuple7Sym7 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) (a6989586621679042955 :: d) (a6989586621679042956 :: e) (a6989586621679042957 :: f) (a6989586621679042958 :: g) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type) where ...
data FstSym0 :: (~>) (a, b) a
type family FstSym1 (a6989586621679279992 :: (a, b)) :: a where ...
data SndSym0 :: (~>) (a, b) b
type family SndSym1 (a6989586621679279988 :: (a, b)) :: b where ...
data CurrySym0 :: (~>) ((~>) (a, b) c) ((~>) a ((~>) b c))
data CurrySym1 (a6989586621679279980 :: (~>) (a, b) c) :: (~>) a ((~>) b c)
data CurrySym2 (a6989586621679279980 :: (~>) (a, b) c) (a6989586621679279981 :: a) :: (~>) b c
type family CurrySym3 (a6989586621679279980 :: (~>) (a, b) c) (a6989586621679279981 :: a) (a6989586621679279982 :: b) :: c where ...
data UncurrySym0 :: (~>) ((~>) a ((~>) b c)) ((~>) (a, b) c)
data UncurrySym1 (a6989586621679279972 :: (~>) a ((~>) b c)) :: (~>) (a, b) c
type family UncurrySym2 (a6989586621679279972 :: (~>) a ((~>) b c)) (a6989586621679279973 :: (a, b)) :: c where ...
data SwapSym0 :: (~>) (a, b) (b, a)
type family SwapSym1 (a6989586621679279966 :: (a, b)) :: (b, a) where ...

Singleton definitions

See Sing for more info.

type family Sing :: k -> Type #

Instances

Instances details

type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sing = SAll
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sing = SAny
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SVoid
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 GHC.TypeLits.Singletons.Internal type Sing = SNat
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 type Sing = SFirst :: First a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sing = SLast :: Last a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sing = SMax :: Max a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sing = SMin :: Min a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sing = SWrappedMonoid :: WrappedMonoid m -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sing = SDual :: Dual a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sing = SProduct :: Product a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal 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 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 STuple0 :: () -> Type where Source #

Constructors

STuple0 :: STuple0 ('() :: ())

Instances

Instances details

TestCoercion STuple0 Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testCoercion :: forall (a :: k) (b :: k). STuple0 a -> STuple0 b -> Maybe (Coercion a b) #
TestEquality STuple0 Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testEquality :: forall (a :: k) (b :: k). STuple0 a -> STuple0 b -> Maybe (a :~: b) #
Show (STuple0 z) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods showsPrec :: Int -> STuple0 z -> ShowS # show :: STuple0 z -> String # showList :: [STuple0 z] -> ShowS #

data STuple2 :: forall (a :: Type) (b :: Type). (a, b) -> Type where Source #

Constructors

STuple2 :: forall (a :: Type) (b :: Type) (n :: a) (n :: b). (Sing n) -> (Sing n) -> STuple2 ('(n, n) :: (a :: Type, b :: Type))

Instances

Instances details

(SDecide a, SDecide b) => TestCoercion (STuple2 :: (a, b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testCoercion :: forall (a0 :: k) (b0 :: k). STuple2 a0 -> STuple2 b0 -> Maybe (Coercion a0 b0) #
(SDecide a, SDecide b) => TestEquality (STuple2 :: (a, b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testEquality :: forall (a0 :: k) (b0 :: k). STuple2 a0 -> STuple2 b0 -> Maybe (a0 :~: b0) #
(ShowSing a, ShowSing b) => Show (STuple2 z) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods showsPrec :: Int -> STuple2 z -> ShowS # show :: STuple2 z -> String # showList :: [STuple2 z] -> ShowS #

data STuple3 :: forall (a :: Type) (b :: Type) (c :: Type). (a, b, c) -> Type where Source #

Constructors

STuple3 :: forall (a :: Type) (b :: Type) (c :: Type) (n :: a) (n :: b) (n :: c). (Sing n) -> (Sing n) -> (Sing n) -> STuple3 ('(n, n, n) :: (a :: Type, b :: Type, c :: Type))

Instances

Instances details

(SDecide a, SDecide b, SDecide c) => TestCoercion (STuple3 :: (a, b, c) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testCoercion :: forall (a0 :: k) (b0 :: k). STuple3 a0 -> STuple3 b0 -> Maybe (Coercion a0 b0) #
(SDecide a, SDecide b, SDecide c) => TestEquality (STuple3 :: (a, b, c) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testEquality :: forall (a0 :: k) (b0 :: k). STuple3 a0 -> STuple3 b0 -> Maybe (a0 :~: b0) #
(ShowSing a, ShowSing b, ShowSing c) => Show (STuple3 z) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods showsPrec :: Int -> STuple3 z -> ShowS # show :: STuple3 z -> String # showList :: [STuple3 z] -> ShowS #

data STuple4 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type). (a, b, c, d) -> Type where Source #

Constructors

STuple4 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (n :: a) (n :: b) (n :: c) (n :: d). (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> STuple4 ('(n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type))

Instances

Instances details

(SDecide a, SDecide b, SDecide c, SDecide d) => TestCoercion (STuple4 :: (a, b, c, d) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testCoercion :: forall (a0 :: k) (b0 :: k). STuple4 a0 -> STuple4 b0 -> Maybe (Coercion a0 b0) #
(SDecide a, SDecide b, SDecide c, SDecide d) => TestEquality (STuple4 :: (a, b, c, d) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testEquality :: forall (a0 :: k) (b0 :: k). STuple4 a0 -> STuple4 b0 -> Maybe (a0 :~: b0) #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d) => Show (STuple4 z) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods showsPrec :: Int -> STuple4 z -> ShowS # show :: STuple4 z -> String # showList :: [STuple4 z] -> ShowS #

data STuple5 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type). (a, b, c, d, e) -> Type where Source #

Constructors

STuple5 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e). (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> STuple5 ('(n, n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type))

Instances

Instances details

(SDecide a, SDecide b, SDecide c, SDecide d, SDecide e) => TestCoercion (STuple5 :: (a, b, c, d, e) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testCoercion :: forall (a0 :: k) (b0 :: k). STuple5 a0 -> STuple5 b0 -> Maybe (Coercion a0 b0) #
(SDecide a, SDecide b, SDecide c, SDecide d, SDecide e) => TestEquality (STuple5 :: (a, b, c, d, e) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testEquality :: forall (a0 :: k) (b0 :: k). STuple5 a0 -> STuple5 b0 -> Maybe (a0 :~: b0) #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e) => Show (STuple5 z) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods showsPrec :: Int -> STuple5 z -> ShowS # show :: STuple5 z -> String # showList :: [STuple5 z] -> ShowS #

data STuple6 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type). (a, b, c, d, e, f) -> Type where Source #

Constructors

STuple6 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e) (n :: f). (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> (Sing n) -> STuple6 ('(n, n, n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))

Instances

Instances details

(SDecide a, SDecide b, SDecide c, SDecide d, SDecide e, SDecide f) => TestCoercion (STuple6 :: (a, b, c, d, e, f) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testCoercion :: forall (a0 :: k) (b0 :: k). STuple6 a0 -> STuple6 b0 -> Maybe (Coercion a0 b0) #
(SDecide a, SDecide b, SDecide c, SDecide d, SDecide e, SDecide f) => TestEquality (STuple6 :: (a, b, c, d, e, f) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testEquality :: forall (a0 :: k) (b0 :: k). STuple6 a0 -> STuple6 b0 -> Maybe (a0 :~: b0) #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e, ShowSing f) => Show (STuple6 z) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods showsPrec :: Int -> STuple6 z -> ShowS # show :: STuple6 z -> String # showList :: [STuple6 z] -> ShowS #

data STuple7 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type) (g :: Type). (a, b, c, d, e, f, g) -> Type where Source #

Constructors

STuple7 :: forall (a :: Type) (b :: Type) (c :: Type) (d :: Type) (e :: Type) (f :: Type) (g :: Type) (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) -> STuple7 ('(n, n, n, n, n, n, n) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))

Instances

Instances details

(SDecide a, SDecide b, SDecide c, SDecide d, SDecide e, SDecide f, SDecide g) => TestCoercion (STuple7 :: (a, b, c, d, e, f, g) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testCoercion :: forall (a0 :: k) (b0 :: k). STuple7 a0 -> STuple7 b0 -> Maybe (Coercion a0 b0) #
(SDecide a, SDecide b, SDecide c, SDecide d, SDecide e, SDecide f, SDecide g) => TestEquality (STuple7 :: (a, b, c, d, e, f, g) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods testEquality :: forall (a0 :: k) (b0 :: k). STuple7 a0 -> STuple7 b0 -> Maybe (a0 :~: b0) #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e, ShowSing f, ShowSing g) => Show (STuple7 z) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods showsPrec :: Int -> STuple7 z -> ShowS # show :: STuple7 z -> String # showList :: [STuple7 z] -> ShowS #

Singletons from `Data.Tuple`

type family Fst (a :: (a, b)) :: a where ... Source #

Equations

Fst '(x, _) = x

sFst :: forall a b (t :: (a, b)). Sing t -> Sing (Apply FstSym0 t :: a) Source #

type family Snd (a :: (a, b)) :: b where ... Source #

Equations

Snd '(_, y) = y

sSnd :: forall a b (t :: (a, b)). Sing t -> Sing (Apply SndSym0 t :: b) Source #

type family Curry (a :: (~>) (a, b) c) (a :: a) (a :: b) :: c where ... Source #

Equations

Curry f x y = Apply f (Apply (Apply Tuple2Sym0 x) y)

sCurry :: forall a b c (t :: (~>) (a, b) c) (t :: a) (t :: b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply CurrySym0 t) t) t :: c) Source #

type family Uncurry (a :: (~>) a ((~>) b c)) (a :: (a, b)) :: c where ... Source #

Equations

Uncurry f p = Apply (Apply f (Apply FstSym0 p)) (Apply SndSym0 p)

sUncurry :: forall a b c (t :: (~>) a ((~>) b c)) (t :: (a, b)). Sing t -> Sing t -> Sing (Apply (Apply UncurrySym0 t) t :: c) Source #

type family Swap (a :: (a, b)) :: (b, a) where ... Source #

Equations

Swap '(a, b) = Apply (Apply Tuple2Sym0 b) a

sSwap :: forall a b (t :: (a, b)). Sing t -> Sing (Apply SwapSym0 t :: (b, a)) Source #

Defunctionalization symbols

type family Tuple0Sym0 :: () where ... Source #

Equations

Tuple0Sym0 = '()

data Tuple2Sym0 :: (~>) a ((~>) b (a :: Type, b :: Type)) Source #

Instances

Instances details

SingI (Tuple2Sym0 :: TyFun a (b ~> (a, b)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing Tuple2Sym0
SuppressUnusedWarnings (Tuple2Sym0 :: TyFun a (b ~> (a, b)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple2Sym0 :: TyFun a (b ~> (a, b)) -> Type) (a6989586621679042597 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple2Sym0 :: TyFun a (b ~> (a, b)) -> Type) (a6989586621679042597 :: a) = Tuple2Sym1 a6989586621679042597 :: TyFun b (a, b) -> Type

data Tuple2Sym1 (a6989586621679042597 :: a) :: (~>) b (a :: Type, b :: Type) Source #

Instances

Instances details

SingI1 (Tuple2Sym1 :: a -> TyFun b (a, b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple2Sym1 x)
SingI d => SingI (Tuple2Sym1 d :: TyFun b (a, b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple2Sym1 d)
SuppressUnusedWarnings (Tuple2Sym1 a6989586621679042597 :: TyFun b (a, b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple2Sym1 a6989586621679042597 :: TyFun k1 (k2, k1) -> Type) (a6989586621679042598 :: k1) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple2Sym1 a6989586621679042597 :: TyFun k1 (k2, k1) -> Type) (a6989586621679042598 :: k1) = '(a6989586621679042597, a6989586621679042598)

type family Tuple2Sym2 (a6989586621679042597 :: a) (a6989586621679042598 :: b) :: (a :: Type, b :: Type) where ... Source #

Equations

Tuple2Sym2 a6989586621679042597 a6989586621679042598 = '(a6989586621679042597, a6989586621679042598)

data Tuple3Sym0 :: (~>) a ((~>) b ((~>) c (a :: Type, b :: Type, c :: Type))) Source #

Instances

Instances details

SingI (Tuple3Sym0 :: TyFun a (b ~> (c ~> (a, b, c))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing Tuple3Sym0
SuppressUnusedWarnings (Tuple3Sym0 :: TyFun a (b ~> (c ~> (a, b, c))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple3Sym0 :: TyFun a (b ~> (c ~> (a, b, c))) -> Type) (a6989586621679042628 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple3Sym0 :: TyFun a (b ~> (c ~> (a, b, c))) -> Type) (a6989586621679042628 :: a) = Tuple3Sym1 a6989586621679042628 :: TyFun b (c ~> (a, b, c)) -> Type

data Tuple3Sym1 (a6989586621679042628 :: a) :: (~>) b ((~>) c (a :: Type, b :: Type, c :: Type)) Source #

Instances

Instances details

SingI1 (Tuple3Sym1 :: a -> TyFun b (c ~> (a, b, c)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple3Sym1 x)
SingI d => SingI (Tuple3Sym1 d :: TyFun b (c ~> (a, b, c)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple3Sym1 d)
SuppressUnusedWarnings (Tuple3Sym1 a6989586621679042628 :: TyFun b (c ~> (a, b, c)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple3Sym1 a6989586621679042628 :: TyFun b (c ~> (a, b, c)) -> Type) (a6989586621679042629 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple3Sym1 a6989586621679042628 :: TyFun b (c ~> (a, b, c)) -> Type) (a6989586621679042629 :: b) = Tuple3Sym2 a6989586621679042628 a6989586621679042629 :: TyFun c (a, b, c) -> Type

data Tuple3Sym2 (a6989586621679042628 :: a) (a6989586621679042629 :: b) :: (~>) c (a :: Type, b :: Type, c :: Type) Source #

Instances

Instances details

SingI2 (Tuple3Sym2 :: a -> b -> TyFun c (a, b, c) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple3Sym2 x y)
SingI d => SingI1 (Tuple3Sym2 d :: b -> TyFun c (a, b, c) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple3Sym2 d x)
(SingI d1, SingI d2) => SingI (Tuple3Sym2 d1 d2 :: TyFun c (a, b, c) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple3Sym2 d1 d2)
SuppressUnusedWarnings (Tuple3Sym2 a6989586621679042628 a6989586621679042629 :: TyFun c (a, b, c) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple3Sym2 a6989586621679042628 a6989586621679042629 :: TyFun k1 (k2, k3, k1) -> Type) (a6989586621679042630 :: k1) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple3Sym2 a6989586621679042628 a6989586621679042629 :: TyFun k1 (k2, k3, k1) -> Type) (a6989586621679042630 :: k1) = '(a6989586621679042628, a6989586621679042629, a6989586621679042630)

type family Tuple3Sym3 (a6989586621679042628 :: a) (a6989586621679042629 :: b) (a6989586621679042630 :: c) :: (a :: Type, b :: Type, c :: Type) where ... Source #

Equations

Tuple3Sym3 a6989586621679042628 a6989586621679042629 a6989586621679042630 = '(a6989586621679042628, a6989586621679042629, a6989586621679042630)

data Tuple4Sym0 :: (~>) a ((~>) b ((~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type)))) Source #

Instances

Instances details

SingI (Tuple4Sym0 :: TyFun a (b ~> (c ~> (d ~> (a, b, c, d)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing Tuple4Sym0
SuppressUnusedWarnings (Tuple4Sym0 :: TyFun a (b ~> (c ~> (d ~> (a, b, c, d)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple4Sym0 :: TyFun a (b ~> (c ~> (d ~> (a, b, c, d)))) -> Type) (a6989586621679042677 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple4Sym0 :: TyFun a (b ~> (c ~> (d ~> (a, b, c, d)))) -> Type) (a6989586621679042677 :: a) = Tuple4Sym1 a6989586621679042677 :: TyFun b (c ~> (d ~> (a, b, c, d))) -> Type

data Tuple4Sym1 (a6989586621679042677 :: a) :: (~>) b ((~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type))) Source #

Instances

Instances details

SingI1 (Tuple4Sym1 :: a -> TyFun b (c ~> (d ~> (a, b, c, d))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple4Sym1 x)
SingI d1 => SingI (Tuple4Sym1 d1 :: TyFun b (c ~> (d2 ~> (a, b, c, d2))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple4Sym1 d1)
SuppressUnusedWarnings (Tuple4Sym1 a6989586621679042677 :: TyFun b (c ~> (d ~> (a, b, c, d))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple4Sym1 a6989586621679042677 :: TyFun b (c ~> (d ~> (a, b, c, d))) -> Type) (a6989586621679042678 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple4Sym1 a6989586621679042677 :: TyFun b (c ~> (d ~> (a, b, c, d))) -> Type) (a6989586621679042678 :: b) = Tuple4Sym2 a6989586621679042677 a6989586621679042678 :: TyFun c (d ~> (a, b, c, d)) -> Type

data Tuple4Sym2 (a6989586621679042677 :: a) (a6989586621679042678 :: b) :: (~>) c ((~>) d (a :: Type, b :: Type, c :: Type, d :: Type)) Source #

Instances

Instances details

SingI2 (Tuple4Sym2 :: a -> b -> TyFun c (d ~> (a, b, c, d)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple4Sym2 x y)
SingI d1 => SingI1 (Tuple4Sym2 d1 :: b -> TyFun c (d2 ~> (a, b, c, d2)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple4Sym2 d1 x)
(SingI d1, SingI d2) => SingI (Tuple4Sym2 d1 d2 :: TyFun c (d3 ~> (a, b, c, d3)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple4Sym2 d1 d2)
SuppressUnusedWarnings (Tuple4Sym2 a6989586621679042677 a6989586621679042678 :: TyFun c (d ~> (a, b, c, d)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple4Sym2 a6989586621679042677 a6989586621679042678 :: TyFun c (d ~> (a, b, c, d)) -> Type) (a6989586621679042679 :: c) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple4Sym2 a6989586621679042677 a6989586621679042678 :: TyFun c (d ~> (a, b, c, d)) -> Type) (a6989586621679042679 :: c) = Tuple4Sym3 a6989586621679042677 a6989586621679042678 a6989586621679042679 :: TyFun d (a, b, c, d) -> Type

data Tuple4Sym3 (a6989586621679042677 :: a) (a6989586621679042678 :: b) (a6989586621679042679 :: c) :: (~>) d (a :: Type, b :: Type, c :: Type, d :: Type) Source #

Instances

Instances details

SingI d1 => SingI2 (Tuple4Sym3 d1 :: b -> c -> TyFun d2 (a, b, c, d2) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple4Sym3 d1 x y)
(SingI d1, SingI d2) => SingI1 (Tuple4Sym3 d1 d2 :: c -> TyFun d3 (a, b, c, d3) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple4Sym3 d1 d2 x)
(SingI d1, SingI d2, SingI d3) => SingI (Tuple4Sym3 d1 d2 d3 :: TyFun d4 (a, b, c, d4) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple4Sym3 d1 d2 d3)
SuppressUnusedWarnings (Tuple4Sym3 a6989586621679042677 a6989586621679042678 a6989586621679042679 :: TyFun d (a, b, c, d) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple4Sym3 a6989586621679042677 a6989586621679042678 a6989586621679042679 :: TyFun k1 (k2, k3, k4, k1) -> Type) (a6989586621679042680 :: k1) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple4Sym3 a6989586621679042677 a6989586621679042678 a6989586621679042679 :: TyFun k1 (k2, k3, k4, k1) -> Type) (a6989586621679042680 :: k1) = '(a6989586621679042677, a6989586621679042678, a6989586621679042679, a6989586621679042680)

type family Tuple4Sym4 (a6989586621679042677 :: a) (a6989586621679042678 :: b) (a6989586621679042679 :: c) (a6989586621679042680 :: d) :: (a :: Type, b :: Type, c :: Type, d :: Type) where ... Source #

Equations

Tuple4Sym4 a6989586621679042677 a6989586621679042678 a6989586621679042679 a6989586621679042680 = '(a6989586621679042677, a6989586621679042678, a6989586621679042679, a6989586621679042680)

data Tuple5Sym0 :: (~>) a ((~>) b ((~>) c ((~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type))))) Source #

Instances

Instances details

SingI (Tuple5Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (a, b, c, d, e))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing Tuple5Sym0
SuppressUnusedWarnings (Tuple5Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (a, b, c, d, e))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple5Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (a, b, c, d, e))))) -> Type) (a6989586621679042746 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple5Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (a, b, c, d, e))))) -> Type) (a6989586621679042746 :: a) = Tuple5Sym1 a6989586621679042746 :: TyFun b (c ~> (d ~> (e ~> (a, b, c, d, e)))) -> Type

data Tuple5Sym1 (a6989586621679042746 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type)))) Source #

Instances

Instances details

SingI1 (Tuple5Sym1 :: a -> TyFun b (c ~> (d ~> (e ~> (a, b, c, d, e)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple5Sym1 x)
SingI d1 => SingI (Tuple5Sym1 d1 :: TyFun b (c ~> (d2 ~> (e ~> (a, b, c, d2, e)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple5Sym1 d1)
SuppressUnusedWarnings (Tuple5Sym1 a6989586621679042746 :: TyFun b (c ~> (d ~> (e ~> (a, b, c, d, e)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple5Sym1 a6989586621679042746 :: TyFun b (c ~> (d ~> (e ~> (a, b, c, d, e)))) -> Type) (a6989586621679042747 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple5Sym1 a6989586621679042746 :: TyFun b (c ~> (d ~> (e ~> (a, b, c, d, e)))) -> Type) (a6989586621679042747 :: b) = Tuple5Sym2 a6989586621679042746 a6989586621679042747 :: TyFun c (d ~> (e ~> (a, b, c, d, e))) -> Type

data Tuple5Sym2 (a6989586621679042746 :: a) (a6989586621679042747 :: b) :: (~>) c ((~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type))) Source #

Instances

Instances details

SingI2 (Tuple5Sym2 :: a -> b -> TyFun c (d ~> (e ~> (a, b, c, d, e))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple5Sym2 x y)
SingI d1 => SingI1 (Tuple5Sym2 d1 :: b -> TyFun c (d2 ~> (e ~> (a, b, c, d2, e))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple5Sym2 d1 x)
(SingI d1, SingI d2) => SingI (Tuple5Sym2 d1 d2 :: TyFun c (d3 ~> (e ~> (a, b, c, d3, e))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple5Sym2 d1 d2)
SuppressUnusedWarnings (Tuple5Sym2 a6989586621679042746 a6989586621679042747 :: TyFun c (d ~> (e ~> (a, b, c, d, e))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple5Sym2 a6989586621679042746 a6989586621679042747 :: TyFun c (d ~> (e ~> (a, b, c, d, e))) -> Type) (a6989586621679042748 :: c) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple5Sym2 a6989586621679042746 a6989586621679042747 :: TyFun c (d ~> (e ~> (a, b, c, d, e))) -> Type) (a6989586621679042748 :: c) = Tuple5Sym3 a6989586621679042746 a6989586621679042747 a6989586621679042748 :: TyFun d (e ~> (a, b, c, d, e)) -> Type

data Tuple5Sym3 (a6989586621679042746 :: a) (a6989586621679042747 :: b) (a6989586621679042748 :: c) :: (~>) d ((~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type)) Source #

Instances

Instances details

SingI d1 => SingI2 (Tuple5Sym3 d1 :: b -> c -> TyFun d2 (e ~> (a, b, c, d2, e)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple5Sym3 d1 x y)
(SingI d1, SingI d2) => SingI1 (Tuple5Sym3 d1 d2 :: c -> TyFun d3 (e ~> (a, b, c, d3, e)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple5Sym3 d1 d2 x)
(SingI d1, SingI d2, SingI d3) => SingI (Tuple5Sym3 d1 d2 d3 :: TyFun d4 (e ~> (a, b, c, d4, e)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple5Sym3 d1 d2 d3)
SuppressUnusedWarnings (Tuple5Sym3 a6989586621679042746 a6989586621679042747 a6989586621679042748 :: TyFun d (e ~> (a, b, c, d, e)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple5Sym3 a6989586621679042746 a6989586621679042747 a6989586621679042748 :: TyFun d (e ~> (a, b, c, d, e)) -> Type) (a6989586621679042749 :: d) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple5Sym3 a6989586621679042746 a6989586621679042747 a6989586621679042748 :: TyFun d (e ~> (a, b, c, d, e)) -> Type) (a6989586621679042749 :: d) = Tuple5Sym4 a6989586621679042746 a6989586621679042747 a6989586621679042748 a6989586621679042749 :: TyFun e (a, b, c, d, e) -> Type

data Tuple5Sym4 (a6989586621679042746 :: a) (a6989586621679042747 :: b) (a6989586621679042748 :: c) (a6989586621679042749 :: d) :: (~>) e (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type) Source #

Instances

Instances details

(SingI d1, SingI d2) => SingI2 (Tuple5Sym4 d1 d2 :: c -> d3 -> TyFun e (a, b, c, d3, e) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple5Sym4 d1 d2 x y)
(SingI d1, SingI d2, SingI d3) => SingI1 (Tuple5Sym4 d1 d2 d3 :: d4 -> TyFun e (a, b, c, d4, e) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple5Sym4 d1 d2 d3 x)
(SingI d1, SingI d2, SingI d3, SingI d5) => SingI (Tuple5Sym4 d1 d2 d3 d5 :: TyFun e (a, b, c, d4, e) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple5Sym4 d1 d2 d3 d5)
SuppressUnusedWarnings (Tuple5Sym4 a6989586621679042746 a6989586621679042747 a6989586621679042748 a6989586621679042749 :: TyFun e (a, b, c, d, e) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple5Sym4 a6989586621679042746 a6989586621679042747 a6989586621679042748 a6989586621679042749 :: TyFun k1 (k2, k3, k4, k5, k1) -> Type) (a6989586621679042750 :: k1) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple5Sym4 a6989586621679042746 a6989586621679042747 a6989586621679042748 a6989586621679042749 :: TyFun k1 (k2, k3, k4, k5, k1) -> Type) (a6989586621679042750 :: k1) = '(a6989586621679042746, a6989586621679042747, a6989586621679042748, a6989586621679042749, a6989586621679042750)

type family Tuple5Sym5 (a6989586621679042746 :: a) (a6989586621679042747 :: b) (a6989586621679042748 :: c) (a6989586621679042749 :: d) (a6989586621679042750 :: e) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type) where ... Source #

Equations

Tuple5Sym5 a6989586621679042746 a6989586621679042747 a6989586621679042748 a6989586621679042749 a6989586621679042750 = '(a6989586621679042746, a6989586621679042747, a6989586621679042748, a6989586621679042749, a6989586621679042750)

data Tuple6Sym0 :: (~>) a ((~>) b ((~>) c ((~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)))))) Source #

Instances

Instances details

SingI (Tuple6Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f)))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing Tuple6Sym0
SuppressUnusedWarnings (Tuple6Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f)))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple6Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f)))))) -> Type) (a6989586621679042837 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f)))))) -> Type) (a6989586621679042837 :: a) = Tuple6Sym1 a6989586621679042837 :: TyFun b (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f))))) -> Type

data Tuple6Sym1 (a6989586621679042837 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))))) Source #

Instances

Instances details

SingI1 (Tuple6Sym1 :: a -> TyFun b (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple6Sym1 x)
SingI d1 => SingI (Tuple6Sym1 d1 :: TyFun b (c ~> (d2 ~> (e ~> (f ~> (a, b, c, d2, e, f))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple6Sym1 d1)
SuppressUnusedWarnings (Tuple6Sym1 a6989586621679042837 :: TyFun b (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple6Sym1 a6989586621679042837 :: TyFun b (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f))))) -> Type) (a6989586621679042838 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym1 a6989586621679042837 :: TyFun b (c ~> (d ~> (e ~> (f ~> (a, b, c, d, e, f))))) -> Type) (a6989586621679042838 :: b) = Tuple6Sym2 a6989586621679042837 a6989586621679042838 :: TyFun c (d ~> (e ~> (f ~> (a, b, c, d, e, f)))) -> Type

data Tuple6Sym2 (a6989586621679042837 :: a) (a6989586621679042838 :: b) :: (~>) c ((~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)))) Source #

Instances

Instances details

SingI2 (Tuple6Sym2 :: a -> b -> TyFun c (d ~> (e ~> (f ~> (a, b, c, d, e, f)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple6Sym2 x y)
SingI d1 => SingI1 (Tuple6Sym2 d1 :: b -> TyFun c (d2 ~> (e ~> (f ~> (a, b, c, d2, e, f)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple6Sym2 d1 x)
(SingI d1, SingI d2) => SingI (Tuple6Sym2 d1 d2 :: TyFun c (d3 ~> (e ~> (f ~> (a, b, c, d3, e, f)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple6Sym2 d1 d2)
SuppressUnusedWarnings (Tuple6Sym2 a6989586621679042837 a6989586621679042838 :: TyFun c (d ~> (e ~> (f ~> (a, b, c, d, e, f)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple6Sym2 a6989586621679042837 a6989586621679042838 :: TyFun c (d ~> (e ~> (f ~> (a, b, c, d, e, f)))) -> Type) (a6989586621679042839 :: c) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym2 a6989586621679042837 a6989586621679042838 :: TyFun c (d ~> (e ~> (f ~> (a, b, c, d, e, f)))) -> Type) (a6989586621679042839 :: c) = Tuple6Sym3 a6989586621679042837 a6989586621679042838 a6989586621679042839 :: TyFun d (e ~> (f ~> (a, b, c, d, e, f))) -> Type

data Tuple6Sym3 (a6989586621679042837 :: a) (a6989586621679042838 :: b) (a6989586621679042839 :: c) :: (~>) d ((~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type))) Source #

Instances

Instances details

SingI d1 => SingI2 (Tuple6Sym3 d1 :: b -> c -> TyFun d2 (e ~> (f ~> (a, b, c, d2, e, f))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple6Sym3 d1 x y)
(SingI d1, SingI d2) => SingI1 (Tuple6Sym3 d1 d2 :: c -> TyFun d3 (e ~> (f ~> (a, b, c, d3, e, f))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple6Sym3 d1 d2 x)
(SingI d1, SingI d2, SingI d3) => SingI (Tuple6Sym3 d1 d2 d3 :: TyFun d4 (e ~> (f ~> (a, b, c, d4, e, f))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple6Sym3 d1 d2 d3)
SuppressUnusedWarnings (Tuple6Sym3 a6989586621679042837 a6989586621679042838 a6989586621679042839 :: TyFun d (e ~> (f ~> (a, b, c, d, e, f))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple6Sym3 a6989586621679042837 a6989586621679042838 a6989586621679042839 :: TyFun d (e ~> (f ~> (a, b, c, d, e, f))) -> Type) (a6989586621679042840 :: d) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym3 a6989586621679042837 a6989586621679042838 a6989586621679042839 :: TyFun d (e ~> (f ~> (a, b, c, d, e, f))) -> Type) (a6989586621679042840 :: d) = Tuple6Sym4 a6989586621679042837 a6989586621679042838 a6989586621679042839 a6989586621679042840 :: TyFun e (f ~> (a, b, c, d, e, f)) -> Type

data Tuple6Sym4 (a6989586621679042837 :: a) (a6989586621679042838 :: b) (a6989586621679042839 :: c) (a6989586621679042840 :: d) :: (~>) e ((~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type)) Source #

Instances

Instances details

(SingI d1, SingI d2) => SingI2 (Tuple6Sym4 d1 d2 :: c -> d3 -> TyFun e (f ~> (a, b, c, d3, e, f)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple6Sym4 d1 d2 x y)
(SingI d1, SingI d2, SingI d3) => SingI1 (Tuple6Sym4 d1 d2 d3 :: d4 -> TyFun e (f ~> (a, b, c, d4, e, f)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple6Sym4 d1 d2 d3 x)
(SingI d1, SingI d2, SingI d3, SingI d5) => SingI (Tuple6Sym4 d1 d2 d3 d5 :: TyFun e (f ~> (a, b, c, d4, e, f)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple6Sym4 d1 d2 d3 d5)
SuppressUnusedWarnings (Tuple6Sym4 a6989586621679042837 a6989586621679042838 a6989586621679042839 a6989586621679042840 :: TyFun e (f ~> (a, b, c, d, e, f)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple6Sym4 a6989586621679042837 a6989586621679042838 a6989586621679042839 a6989586621679042840 :: TyFun e (f ~> (a, b, c, d, e, f)) -> Type) (a6989586621679042841 :: e) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym4 a6989586621679042837 a6989586621679042838 a6989586621679042839 a6989586621679042840 :: TyFun e (f ~> (a, b, c, d, e, f)) -> Type) (a6989586621679042841 :: e) = Tuple6Sym5 a6989586621679042837 a6989586621679042838 a6989586621679042839 a6989586621679042840 a6989586621679042841 :: TyFun f (a, b, c, d, e, f) -> Type

data Tuple6Sym5 (a6989586621679042837 :: a) (a6989586621679042838 :: b) (a6989586621679042839 :: c) (a6989586621679042840 :: d) (a6989586621679042841 :: e) :: (~>) f (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type) Source #

Instances

Instances details

(SingI d1, SingI d2, SingI d3) => SingI2 (Tuple6Sym5 d1 d2 d3 :: d4 -> e -> TyFun f (a, b, c, d4, e, f) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple6Sym5 d1 d2 d3 x y)
(SingI d1, SingI d2, SingI d3, SingI d5) => SingI1 (Tuple6Sym5 d1 d2 d3 d5 :: e -> TyFun f (a, b, c, d4, e, f) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple6Sym5 d1 d2 d3 d5 x)
(SingI d1, SingI d2, SingI d3, SingI d5, SingI d6) => SingI (Tuple6Sym5 d1 d2 d3 d5 d6 :: TyFun f (a, b, c, d4, e, f) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple6Sym5 d1 d2 d3 d5 d6)
SuppressUnusedWarnings (Tuple6Sym5 a6989586621679042837 a6989586621679042838 a6989586621679042839 a6989586621679042840 a6989586621679042841 :: TyFun f (a, b, c, d, e, f) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple6Sym5 a6989586621679042837 a6989586621679042838 a6989586621679042839 a6989586621679042840 a6989586621679042841 :: TyFun k1 (k2, k3, k4, k5, k6, k1) -> Type) (a6989586621679042842 :: k1) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple6Sym5 a6989586621679042837 a6989586621679042838 a6989586621679042839 a6989586621679042840 a6989586621679042841 :: TyFun k1 (k2, k3, k4, k5, k6, k1) -> Type) (a6989586621679042842 :: k1) = '(a6989586621679042837, a6989586621679042838, a6989586621679042839, a6989586621679042840, a6989586621679042841, a6989586621679042842)

type family Tuple6Sym6 (a6989586621679042837 :: a) (a6989586621679042838 :: b) (a6989586621679042839 :: c) (a6989586621679042840 :: d) (a6989586621679042841 :: e) (a6989586621679042842 :: f) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type) where ... Source #

Equations

Tuple6Sym6 a6989586621679042837 a6989586621679042838 a6989586621679042839 a6989586621679042840 a6989586621679042841 a6989586621679042842 = '(a6989586621679042837, a6989586621679042838, a6989586621679042839, a6989586621679042840, a6989586621679042841, a6989586621679042842)

data Tuple7Sym0 :: (~>) a ((~>) b ((~>) c ((~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))))))) Source #

Instances

Instances details

SingI (Tuple7Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing Tuple7Sym0
SuppressUnusedWarnings (Tuple7Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple7Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))))) -> Type) (a6989586621679042952 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym0 :: TyFun a (b ~> (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))))) -> Type) (a6989586621679042952 :: a) = Tuple7Sym1 a6989586621679042952 :: TyFun b (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))))) -> Type

data Tuple7Sym1 (a6989586621679042952 :: a) :: (~>) b ((~>) c ((~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)))))) Source #

Instances

Instances details

SingI1 (Tuple7Sym1 :: a -> TyFun b (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple7Sym1 x)
SingI d1 => SingI (Tuple7Sym1 d1 :: TyFun b (c ~> (d2 ~> (e ~> (f ~> (g ~> (a, b, c, d2, e, f, g)))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple7Sym1 d1)
SuppressUnusedWarnings (Tuple7Sym1 a6989586621679042952 :: TyFun b (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple7Sym1 a6989586621679042952 :: TyFun b (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))))) -> Type) (a6989586621679042953 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym1 a6989586621679042952 :: TyFun b (c ~> (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))))) -> Type) (a6989586621679042953 :: b) = Tuple7Sym2 a6989586621679042952 a6989586621679042953 :: TyFun c (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))) -> Type

data Tuple7Sym2 (a6989586621679042952 :: a) (a6989586621679042953 :: b) :: (~>) c ((~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))))) Source #

Instances

Instances details

SingI2 (Tuple7Sym2 :: a -> b -> TyFun c (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple7Sym2 x y)
SingI d1 => SingI1 (Tuple7Sym2 d1 :: b -> TyFun c (d2 ~> (e ~> (f ~> (g ~> (a, b, c, d2, e, f, g))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple7Sym2 d1 x)
(SingI d1, SingI d2) => SingI (Tuple7Sym2 d1 d2 :: TyFun c (d3 ~> (e ~> (f ~> (g ~> (a, b, c, d3, e, f, g))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple7Sym2 d1 d2)
SuppressUnusedWarnings (Tuple7Sym2 a6989586621679042952 a6989586621679042953 :: TyFun c (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple7Sym2 a6989586621679042952 a6989586621679042953 :: TyFun c (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))) -> Type) (a6989586621679042954 :: c) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym2 a6989586621679042952 a6989586621679042953 :: TyFun c (d ~> (e ~> (f ~> (g ~> (a, b, c, d, e, f, g))))) -> Type) (a6989586621679042954 :: c) = Tuple7Sym3 a6989586621679042952 a6989586621679042953 a6989586621679042954 :: TyFun d (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))) -> Type

data Tuple7Sym3 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) :: (~>) d ((~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)))) Source #

Instances

Instances details

SingI d1 => SingI2 (Tuple7Sym3 d1 :: b -> c -> TyFun d2 (e ~> (f ~> (g ~> (a, b, c, d2, e, f, g)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple7Sym3 d1 x y)
(SingI d1, SingI d2) => SingI1 (Tuple7Sym3 d1 d2 :: c -> TyFun d3 (e ~> (f ~> (g ~> (a, b, c, d3, e, f, g)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple7Sym3 d1 d2 x)
(SingI d1, SingI d2, SingI d3) => SingI (Tuple7Sym3 d1 d2 d3 :: TyFun d4 (e ~> (f ~> (g ~> (a, b, c, d4, e, f, g)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple7Sym3 d1 d2 d3)
SuppressUnusedWarnings (Tuple7Sym3 a6989586621679042952 a6989586621679042953 a6989586621679042954 :: TyFun d (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple7Sym3 a6989586621679042952 a6989586621679042953 a6989586621679042954 :: TyFun d (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))) -> Type) (a6989586621679042955 :: d) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym3 a6989586621679042952 a6989586621679042953 a6989586621679042954 :: TyFun d (e ~> (f ~> (g ~> (a, b, c, d, e, f, g)))) -> Type) (a6989586621679042955 :: d) = Tuple7Sym4 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 :: TyFun e (f ~> (g ~> (a, b, c, d, e, f, g))) -> Type

data Tuple7Sym4 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) (a6989586621679042955 :: d) :: (~>) e ((~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type))) Source #

Instances

Instances details

(SingI d1, SingI d2) => SingI2 (Tuple7Sym4 d1 d2 :: c -> d3 -> TyFun e (f ~> (g ~> (a, b, c, d3, e, f, g))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple7Sym4 d1 d2 x y)
(SingI d1, SingI d2, SingI d3) => SingI1 (Tuple7Sym4 d1 d2 d3 :: d4 -> TyFun e (f ~> (g ~> (a, b, c, d4, e, f, g))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple7Sym4 d1 d2 d3 x)
(SingI d1, SingI d2, SingI d3, SingI d5) => SingI (Tuple7Sym4 d1 d2 d3 d5 :: TyFun e (f ~> (g ~> (a, b, c, d4, e, f, g))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple7Sym4 d1 d2 d3 d5)
SuppressUnusedWarnings (Tuple7Sym4 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 :: TyFun e (f ~> (g ~> (a, b, c, d, e, f, g))) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple7Sym4 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 :: TyFun e (f ~> (g ~> (a, b, c, d, e, f, g))) -> Type) (a6989586621679042956 :: e) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym4 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 :: TyFun e (f ~> (g ~> (a, b, c, d, e, f, g))) -> Type) (a6989586621679042956 :: e) = Tuple7Sym5 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 a6989586621679042956 :: TyFun f (g ~> (a, b, c, d, e, f, g)) -> Type

data Tuple7Sym5 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) (a6989586621679042955 :: d) (a6989586621679042956 :: e) :: (~>) f ((~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type)) Source #

Instances

Instances details

(SingI d1, SingI d2, SingI d3) => SingI2 (Tuple7Sym5 d1 d2 d3 :: d4 -> e -> TyFun f (g ~> (a, b, c, d4, e, f, g)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple7Sym5 d1 d2 d3 x y)
(SingI d1, SingI d2, SingI d3, SingI d5) => SingI1 (Tuple7Sym5 d1 d2 d3 d5 :: e -> TyFun f (g ~> (a, b, c, d4, e, f, g)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple7Sym5 d1 d2 d3 d5 x)
(SingI d1, SingI d2, SingI d3, SingI d5, SingI d6) => SingI (Tuple7Sym5 d1 d2 d3 d5 d6 :: TyFun f (g ~> (a, b, c, d4, e, f, g)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple7Sym5 d1 d2 d3 d5 d6)
SuppressUnusedWarnings (Tuple7Sym5 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 a6989586621679042956 :: TyFun f (g ~> (a, b, c, d, e, f, g)) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple7Sym5 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 a6989586621679042956 :: TyFun f (g ~> (a, b, c, d, e, f, g)) -> Type) (a6989586621679042957 :: f) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym5 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 a6989586621679042956 :: TyFun f (g ~> (a, b, c, d, e, f, g)) -> Type) (a6989586621679042957 :: f) = Tuple7Sym6 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 a6989586621679042956 a6989586621679042957 :: TyFun g (a, b, c, d, e, f, g) -> Type

data Tuple7Sym6 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) (a6989586621679042955 :: d) (a6989586621679042956 :: e) (a6989586621679042957 :: f) :: (~>) g (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type) Source #

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Instances details

(SingI d1, SingI d2, SingI d3, SingI d5) => SingI2 (Tuple7Sym6 d1 d2 d3 d5 :: e -> f -> TyFun g (a, b, c, d4, e, f, g) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Tuple7Sym6 d1 d2 d3 d5 x y)
(SingI d1, SingI d2, SingI d3, SingI d5, SingI d6) => SingI1 (Tuple7Sym6 d1 d2 d3 d5 d6 :: f -> TyFun g (a, b, c, d4, e, f, g) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods liftSing :: forall (x :: k1). Sing x -> Sing (Tuple7Sym6 d1 d2 d3 d5 d6 x)
(SingI d1, SingI d2, SingI d3, SingI d5, SingI d6, SingI d7) => SingI (Tuple7Sym6 d1 d2 d3 d5 d6 d7 :: TyFun g (a, b, c, d4, e, f, g) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing (Tuple7Sym6 d1 d2 d3 d5 d6 d7)
SuppressUnusedWarnings (Tuple7Sym6 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 a6989586621679042956 a6989586621679042957 :: TyFun g (a, b, c, d, e, f, g) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (Tuple7Sym6 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 a6989586621679042956 a6989586621679042957 :: TyFun k1 (k2, k3, k4, k5, k6, k7, k1) -> Type) (a6989586621679042958 :: k1) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (Tuple7Sym6 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 a6989586621679042956 a6989586621679042957 :: TyFun k1 (k2, k3, k4, k5, k6, k7, k1) -> Type) (a6989586621679042958 :: k1) = '(a6989586621679042952, a6989586621679042953, a6989586621679042954, a6989586621679042955, a6989586621679042956, a6989586621679042957, a6989586621679042958)

type family Tuple7Sym7 (a6989586621679042952 :: a) (a6989586621679042953 :: b) (a6989586621679042954 :: c) (a6989586621679042955 :: d) (a6989586621679042956 :: e) (a6989586621679042957 :: f) (a6989586621679042958 :: g) :: (a :: Type, b :: Type, c :: Type, d :: Type, e :: Type, f :: Type, g :: Type) where ... Source #

Equations

Tuple7Sym7 a6989586621679042952 a6989586621679042953 a6989586621679042954 a6989586621679042955 a6989586621679042956 a6989586621679042957 a6989586621679042958 = '(a6989586621679042952, a6989586621679042953, a6989586621679042954, a6989586621679042955, a6989586621679042956, a6989586621679042957, a6989586621679042958)

data FstSym0 :: (~>) (a, b) a Source #

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Instances details

SingI (FstSym0 :: TyFun (a, b) a -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods sing :: Sing FstSym0
SuppressUnusedWarnings (FstSym0 :: TyFun (a, b) a -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FstSym0 :: TyFun (a, b) a -> Type) (a6989586621679279992 :: (a, b)) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (FstSym0 :: TyFun (a, b) a -> Type) (a6989586621679279992 :: (a, b)) = Fst a6989586621679279992

type family FstSym1 (a6989586621679279992 :: (a, b)) :: a where ... Source #

Equations

FstSym1 a6989586621679279992 = Fst a6989586621679279992

data SndSym0 :: (~>) (a, b) b Source #

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Instances details

SingI (SndSym0 :: TyFun (a, b) b -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods sing :: Sing SndSym0
SuppressUnusedWarnings (SndSym0 :: TyFun (a, b) b -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (SndSym0 :: TyFun (a, b) b -> Type) (a6989586621679279988 :: (a, b)) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (SndSym0 :: TyFun (a, b) b -> Type) (a6989586621679279988 :: (a, b)) = Snd a6989586621679279988

type family SndSym1 (a6989586621679279988 :: (a, b)) :: b where ... Source #

Equations

SndSym1 a6989586621679279988 = Snd a6989586621679279988

data CurrySym0 :: (~>) ((~>) (a, b) c) ((~>) a ((~>) b c)) Source #

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Instances details

SingI (CurrySym0 :: TyFun ((a, b) ~> c) (a ~> (b ~> c)) -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods sing :: Sing CurrySym0
SuppressUnusedWarnings (CurrySym0 :: TyFun ((a, b) ~> c) (a ~> (b ~> c)) -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (CurrySym0 :: TyFun ((a, b) ~> c) (a ~> (b ~> c)) -> Type) (a6989586621679279980 :: (a, b) ~> c) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (CurrySym0 :: TyFun ((a, b) ~> c) (a ~> (b ~> c)) -> Type) (a6989586621679279980 :: (a, b) ~> c) = CurrySym1 a6989586621679279980

data CurrySym1 (a6989586621679279980 :: (~>) (a, b) c) :: (~>) a ((~>) b c) Source #

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Instances details

SingI1 (CurrySym1 :: ((a, b) ~> c) -> TyFun a (b ~> c) -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (CurrySym1 x)
SingI d => SingI (CurrySym1 d :: TyFun a (b ~> c) -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods sing :: Sing (CurrySym1 d)
SuppressUnusedWarnings (CurrySym1 a6989586621679279980 :: TyFun a (b ~> c) -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (CurrySym1 a6989586621679279980 :: TyFun a (b ~> c) -> Type) (a6989586621679279981 :: a) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (CurrySym1 a6989586621679279980 :: TyFun a (b ~> c) -> Type) (a6989586621679279981 :: a) = CurrySym2 a6989586621679279980 a6989586621679279981

data CurrySym2 (a6989586621679279980 :: (~>) (a, b) c) (a6989586621679279981 :: a) :: (~>) b c Source #

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Instances details

SingI d => SingI1 (CurrySym2 d :: a -> TyFun b c -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (CurrySym2 d x)
SingI2 (CurrySym2 :: ((a, b) ~> c) -> a -> TyFun b c -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (CurrySym2 x y)
(SingI d1, SingI d2) => SingI (CurrySym2 d1 d2 :: TyFun b c -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods sing :: Sing (CurrySym2 d1 d2)
SuppressUnusedWarnings (CurrySym2 a6989586621679279980 a6989586621679279981 :: TyFun b c -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (CurrySym2 a6989586621679279980 a6989586621679279981 :: TyFun b c -> Type) (a6989586621679279982 :: b) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (CurrySym2 a6989586621679279980 a6989586621679279981 :: TyFun b c -> Type) (a6989586621679279982 :: b) = Curry a6989586621679279980 a6989586621679279981 a6989586621679279982

type family CurrySym3 (a6989586621679279980 :: (~>) (a, b) c) (a6989586621679279981 :: a) (a6989586621679279982 :: b) :: c where ... Source #

Equations

CurrySym3 a6989586621679279980 a6989586621679279981 a6989586621679279982 = Curry a6989586621679279980 a6989586621679279981 a6989586621679279982

data UncurrySym0 :: (~>) ((~>) a ((~>) b c)) ((~>) (a, b) c) Source #

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Instances details

SingI (UncurrySym0 :: TyFun (a ~> (b ~> c)) ((a, b) ~> c) -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods sing :: Sing UncurrySym0
SuppressUnusedWarnings (UncurrySym0 :: TyFun (a ~> (b ~> c)) ((a, b) ~> c) -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (UncurrySym0 :: TyFun (a ~> (b ~> c)) ((a, b) ~> c) -> Type) (a6989586621679279972 :: a ~> (b ~> c)) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (UncurrySym0 :: TyFun (a ~> (b ~> c)) ((a, b) ~> c) -> Type) (a6989586621679279972 :: a ~> (b ~> c)) = UncurrySym1 a6989586621679279972

data UncurrySym1 (a6989586621679279972 :: (~>) a ((~>) b c)) :: (~>) (a, b) c Source #

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Instances details

SingI1 (UncurrySym1 :: (a ~> (b ~> c)) -> TyFun (a, b) c -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (UncurrySym1 x)
SingI d => SingI (UncurrySym1 d :: TyFun (a, b) c -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods sing :: Sing (UncurrySym1 d)
SuppressUnusedWarnings (UncurrySym1 a6989586621679279972 :: TyFun (a, b) c -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (UncurrySym1 a6989586621679279972 :: TyFun (a, b) c -> Type) (a6989586621679279973 :: (a, b)) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (UncurrySym1 a6989586621679279972 :: TyFun (a, b) c -> Type) (a6989586621679279973 :: (a, b)) = Uncurry a6989586621679279972 a6989586621679279973

type family UncurrySym2 (a6989586621679279972 :: (~>) a ((~>) b c)) (a6989586621679279973 :: (a, b)) :: c where ... Source #

Equations

UncurrySym2 a6989586621679279972 a6989586621679279973 = Uncurry a6989586621679279972 a6989586621679279973

data SwapSym0 :: (~>) (a, b) (b, a) Source #

Instances

Instances details

SingI (SwapSym0 :: TyFun (a, b) (b, a) -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods sing :: Sing SwapSym0
SuppressUnusedWarnings (SwapSym0 :: TyFun (a, b) (b, a) -> Type) Source #
Instance details Defined in Data.Tuple.Singletons Methods suppressUnusedWarnings :: () #
type Apply (SwapSym0 :: TyFun (a, b) (b, a) -> Type) (a6989586621679279966 :: (a, b)) Source #
Instance details Defined in Data.Tuple.Singletons type Apply (SwapSym0 :: TyFun (a, b) (b, a) -> Type) (a6989586621679279966 :: (a, b)) = Swap a6989586621679279966

type family SwapSym1 (a6989586621679279966 :: (a, b)) :: (b, a) where ... Source #

Equations

SwapSym1 a6989586621679279966 = Swap a6989586621679279966

Singleton definitions

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Singletons from Data.Tuple

Defunctionalization symbols

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Singletons from `Data.Tuple`