Copyright	(C) 2014 Jan Stolarek
License	BSD-style (see LICENSE)
Maintainer	Jan Stolarek (jan.stolarek@p.lodz.pl)
Stability	experimental
Portability	non-portable
Safe Haskell	None
Language	Haskell2010

Data.Singletons.Prelude.Base

Contents

Basic functions
Defunctionalization symbols

Description

Implements singletonized versions of functions from GHC.Base module.

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 Foldr (a :: TyFun a (TyFun b b -> Type) -> Type) (a :: b) (a :: [a]) :: b where ...
sFoldr :: forall (t :: TyFun a (TyFun b b -> Type) -> Type) (t :: b) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t :: b)
type family Map (a :: TyFun a b -> Type) (a :: [a]) :: [b] where ...
sMap :: forall (t :: TyFun a b -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply MapSym0 t) t :: [b])
type family (a :: [a]) ++ (a :: [a]) :: [a] where ...
(%++) :: forall (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply (++@#@$) t) t :: [a])
type family Otherwise :: Bool where ...
sOtherwise :: Sing (OtherwiseSym0 :: Bool)
type family Id (a :: a) :: a where ...
sId :: forall (t :: a). Sing t -> Sing (Apply IdSym0 t :: a)
type family Const (a :: a) (a :: b) :: a where ...
sConst :: forall (t :: a) (t :: b). Sing t -> Sing t -> Sing (Apply (Apply ConstSym0 t) t :: a)
type family ((a :: TyFun b c -> Type) :. (a :: TyFun a b -> Type)) (a :: a) :: c where ...
(%.) :: forall (t :: TyFun b c -> Type) (t :: TyFun a b -> Type) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply (.@#@$) t) t) t :: c)
type family (a :: TyFun a b -> Type) $ (a :: a) :: b where ...
type family (a :: TyFun a b -> Type) $! (a :: a) :: b where ...
(%$) :: forall (t :: TyFun a b -> Type) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply ($@#@$) t) t :: b)
(%$!) :: forall (t :: TyFun a b -> Type) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply ($!@#@$) t) t :: b)
type family Flip (a :: TyFun a (TyFun b c -> Type) -> Type) (a :: b) (a :: a) :: c where ...
sFlip :: forall (t :: TyFun a (TyFun b c -> Type) -> Type) (t :: b) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FlipSym0 t) t) t :: c)
type family AsTypeOf (a :: a) (a :: a) :: a where ...
sAsTypeOf :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply AsTypeOfSym0 t) t :: a)
type family Seq (a :: a) (a :: b) :: b where ...
sSeq :: forall (t :: a) (t :: b). Sing t -> Sing t -> Sing (Apply (Apply SeqSym0 t) t :: b)
data FoldrSym0 (l :: TyFun (TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) (TyFun b6989586621679448473 (TyFun [a6989586621679448472] b6989586621679448473 -> Type) -> Type))
data FoldrSym1 (l :: TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) (l :: TyFun b6989586621679448473 (TyFun [a6989586621679448472] b6989586621679448473 -> Type))
data FoldrSym2 (l :: TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) (l :: b6989586621679448473) (l :: TyFun [a6989586621679448472] b6989586621679448473)
type FoldrSym3 (t :: TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) (t :: b6989586621679448473) (t :: [a6989586621679448472]) = Foldr t t t
data MapSym0 (l :: TyFun (TyFun a6989586621679448470 b6989586621679448471 -> Type) (TyFun [a6989586621679448470] [b6989586621679448471] -> Type))
data MapSym1 (l :: TyFun a6989586621679448470 b6989586621679448471 -> Type) (l :: TyFun [a6989586621679448470] [b6989586621679448471])
type MapSym2 (t :: TyFun a6989586621679448470 b6989586621679448471 -> Type) (t :: [a6989586621679448470]) = Map t t
data (++@#@$) (l :: TyFun [a6989586621679448469] (TyFun [a6989586621679448469] [a6989586621679448469] -> Type))
data (l :: [a6989586621679448469]) ++@#@$$ (l :: TyFun [a6989586621679448469] [a6989586621679448469])
type (++@#@$$$) (t :: [a6989586621679448469]) (t :: [a6989586621679448469]) = (++) t t
type OtherwiseSym0 = Otherwise
data IdSym0 (l :: TyFun a6989586621679448468 a6989586621679448468)
type IdSym1 (t :: a6989586621679448468) = Id t
data ConstSym0 (l :: TyFun a6989586621679448466 (TyFun b6989586621679448467 a6989586621679448466 -> Type))
data ConstSym1 (l :: a6989586621679448466) (l :: TyFun b6989586621679448467 a6989586621679448466)
type ConstSym2 (t :: a6989586621679448466) (t :: b6989586621679448467) = Const t t
data (.@#@$) (l :: TyFun (TyFun b6989586621679448463 c6989586621679448464 -> Type) (TyFun (TyFun a6989586621679448465 b6989586621679448463 -> Type) (TyFun a6989586621679448465 c6989586621679448464 -> Type) -> Type))
data (l :: TyFun b6989586621679448463 c6989586621679448464 -> Type) .@#@$$ (l :: TyFun (TyFun a6989586621679448465 b6989586621679448463 -> Type) (TyFun a6989586621679448465 c6989586621679448464 -> Type))
data ((l :: TyFun b6989586621679448463 c6989586621679448464 -> Type) .@#@$$$ (l :: TyFun a6989586621679448465 b6989586621679448463 -> Type)) (l :: TyFun a6989586621679448465 c6989586621679448464)
type (.@#@$$$$) (t :: TyFun b6989586621679448463 c6989586621679448464 -> Type) (t :: TyFun a6989586621679448465 b6989586621679448463 -> Type) (t :: a6989586621679448465) = (:.) t t t
data ($@#@$) (l :: TyFun (TyFun a6989586621679448457 b6989586621679448458 -> Type) (TyFun a6989586621679448457 b6989586621679448458 -> Type))
data (l :: TyFun a6989586621679448457 b6989586621679448458 -> Type) $@#@$$ (l :: TyFun a6989586621679448457 b6989586621679448458)
type ($@#@$$$) (t :: TyFun a6989586621679448457 b6989586621679448458 -> Type) (t :: a6989586621679448457) = ($) t t
data ($!@#@$) (l :: TyFun (TyFun a6989586621679448455 b6989586621679448456 -> Type) (TyFun a6989586621679448455 b6989586621679448456 -> Type))
data (l :: TyFun a6989586621679448455 b6989586621679448456 -> Type) $!@#@$$ (l :: TyFun a6989586621679448455 b6989586621679448456)
type ($!@#@$$$) (t :: TyFun a6989586621679448455 b6989586621679448456 -> Type) (t :: a6989586621679448455) = ($!) t t
data FlipSym0 (l :: TyFun (TyFun a6989586621679448460 (TyFun b6989586621679448461 c6989586621679448462 -> Type) -> Type) (TyFun b6989586621679448461 (TyFun a6989586621679448460 c6989586621679448462 -> Type) -> Type))
data FlipSym1 (l :: TyFun a6989586621679448460 (TyFun b6989586621679448461 c6989586621679448462 -> Type) -> Type) (l :: TyFun b6989586621679448461 (TyFun a6989586621679448460 c6989586621679448462 -> Type))
data FlipSym2 (l :: TyFun a6989586621679448460 (TyFun b6989586621679448461 c6989586621679448462 -> Type) -> Type) (l :: b6989586621679448461) (l :: TyFun a6989586621679448460 c6989586621679448462)
type FlipSym3 (t :: TyFun a6989586621679448460 (TyFun b6989586621679448461 c6989586621679448462 -> Type) -> Type) (t :: b6989586621679448461) (t :: a6989586621679448460) = Flip t t t
data AsTypeOfSym0 (l :: TyFun a6989586621679448459 (TyFun a6989586621679448459 a6989586621679448459 -> Type))
data AsTypeOfSym1 (l :: a6989586621679448459) (l :: TyFun a6989586621679448459 a6989586621679448459)
type AsTypeOfSym2 (t :: a6989586621679448459) (t :: a6989586621679448459) = AsTypeOf t t
data SeqSym0 (l :: TyFun a6989586621679448453 (TyFun b6989586621679448454 b6989586621679448454 -> Type))
data SeqSym1 (l :: a6989586621679448453) (l :: TyFun b6989586621679448454 b6989586621679448454)
type SeqSym2 (t :: a6989586621679448453) (t :: b6989586621679448454) = Seq t t

Basic functions

type family Foldr (a :: TyFun a (TyFun b b -> Type) -> Type) (a :: b) (a :: [a]) :: b where ... Source #

Equations

Foldr k z a_6989586621679448737 = Apply (Let6989586621679448742GoSym3 k z a_6989586621679448737) a_6989586621679448737

sFoldr :: forall (t :: TyFun a (TyFun b b -> Type) -> Type) (t :: b) (t :: [a]). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t :: b) Source #

type family Map (a :: TyFun a b -> Type) (a :: [a]) :: [b] where ... Source #

Equations

Map _ '[] = '[]
Map f ((:) x xs) = Apply (Apply (:@#@$) (Apply f x)) (Apply (Apply MapSym0 f) xs)

sMap :: forall (t :: TyFun a b -> Type) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply MapSym0 t) t :: [b]) Source #

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

Equations

'[] ++ ys = ys
((:) x xs) ++ ys = Apply (Apply (:@#@$) x) (Apply (Apply (++@#@$) xs) ys)

(%++) :: forall (t :: [a]) (t :: [a]). Sing t -> Sing t -> Sing (Apply (Apply (++@#@$) t) t :: [a]) infixr 5 Source #

type family Otherwise :: Bool where ... Source #

Equations

Otherwise = TrueSym0

sOtherwise :: Sing (OtherwiseSym0 :: Bool) Source #

type family Id (a :: a) :: a where ... Source #

Equations

Id x = x

sId :: forall (t :: a). Sing t -> Sing (Apply IdSym0 t :: a) Source #

type family Const (a :: a) (a :: b) :: a where ... Source #

Equations

Const x _ = x

sConst :: forall (t :: a) (t :: b). Sing t -> Sing t -> Sing (Apply (Apply ConstSym0 t) t :: a) Source #

type family ((a :: TyFun b c -> Type) :. (a :: TyFun a b -> Type)) (a :: a) :: c where ... Source #

Equations

(f :. g) a_6989586621679448640 = Apply (Apply (Apply (Apply Lambda_6989586621679448645Sym0 f) g) a_6989586621679448640) a_6989586621679448640

(%.) :: forall (t :: TyFun b c -> Type) (t :: TyFun a b -> Type) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply (.@#@$) t) t) t :: c) infixr 9 Source #

type family (a :: TyFun a b -> Type) $ (a :: a) :: b where ... Source #

Equations

f $ x = Apply f x

type family (a :: TyFun a b -> Type) $! (a :: a) :: b where ... Source #

Equations

f $! x = Apply f (Let6989586621679448588VxSym2 f x)

(%$) :: forall (t :: TyFun a b -> Type) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply ($@#@$) t) t :: b) infixr 0 Source #

(%$!) :: forall (t :: TyFun a b -> Type) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply ($!@#@$) t) t :: b) infixr 0 Source #

type family Flip (a :: TyFun a (TyFun b c -> Type) -> Type) (a :: b) (a :: a) :: c where ... Source #

Equations

Flip f x y = Apply (Apply f y) x

sFlip :: forall (t :: TyFun a (TyFun b c -> Type) -> Type) (t :: b) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FlipSym0 t) t) t :: c) Source #

type family AsTypeOf (a :: a) (a :: a) :: a where ... Source #

Equations

AsTypeOf a_6989586621679448677 a_6989586621679448679 = Apply (Apply ConstSym0 a_6989586621679448677) a_6989586621679448679

sAsTypeOf :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply AsTypeOfSym0 t) t :: a) Source #

type family Seq (a :: a) (a :: b) :: b where ... infixr 0 Source #

Equations

Seq _ x = x

sSeq :: forall (t :: a) (t :: b). Sing t -> Sing t -> Sing (Apply (Apply SeqSym0 t) t :: b) infixr 0 Source #

Defunctionalization symbols

data FoldrSym0 (l :: TyFun (TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) (TyFun b6989586621679448473 (TyFun [a6989586621679448472] b6989586621679448473 -> Type) -> Type)) Source #

Instances

SuppressUnusedWarnings (FoldrSym0 :: TyFun (TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) (TyFun b6989586621679448473 (TyFun [a6989586621679448472] b6989586621679448473 -> Type) -> Type) -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (FoldrSym0 :: TyFun (TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) (TyFun b6989586621679448473 (TyFun [a6989586621679448472] b6989586621679448473 -> Type) -> Type) -> *) (l :: TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (FoldrSym0 :: TyFun (TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) (TyFun b6989586621679448473 (TyFun [a6989586621679448472] b6989586621679448473 -> Type) -> Type) -> *) (l :: TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) = FoldrSym1 l

data FoldrSym1 (l :: TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) (l :: TyFun b6989586621679448473 (TyFun [a6989586621679448472] b6989586621679448473 -> Type)) Source #

Instances

SuppressUnusedWarnings (FoldrSym1 :: (TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) -> TyFun b6989586621679448473 (TyFun [a6989586621679448472] b6989586621679448473 -> Type) -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (FoldrSym1 l1 :: TyFun b6989586621679448473 (TyFun [a6989586621679448472] b6989586621679448473 -> Type) -> *) (l2 :: b6989586621679448473) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (FoldrSym1 l1 :: TyFun b6989586621679448473 (TyFun [a6989586621679448472] b6989586621679448473 -> Type) -> *) (l2 :: b6989586621679448473) = FoldrSym2 l1 l2

data FoldrSym2 (l :: TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) (l :: b6989586621679448473) (l :: TyFun [a6989586621679448472] b6989586621679448473) Source #

Instances

SuppressUnusedWarnings (FoldrSym2 :: (TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) -> b6989586621679448473 -> TyFun [a6989586621679448472] b6989586621679448473 -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (FoldrSym2 l1 l2 :: TyFun [a] b -> *) (l3 :: [a]) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (FoldrSym2 l1 l2 :: TyFun [a] b -> *) (l3 :: [a]) = Foldr l1 l2 l3

type FoldrSym3 (t :: TyFun a6989586621679448472 (TyFun b6989586621679448473 b6989586621679448473 -> Type) -> Type) (t :: b6989586621679448473) (t :: [a6989586621679448472]) = Foldr t t t Source #

data MapSym0 (l :: TyFun (TyFun a6989586621679448470 b6989586621679448471 -> Type) (TyFun [a6989586621679448470] [b6989586621679448471] -> Type)) Source #

Instances

SuppressUnusedWarnings (MapSym0 :: TyFun (TyFun a6989586621679448470 b6989586621679448471 -> Type) (TyFun [a6989586621679448470] [b6989586621679448471] -> Type) -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (MapSym0 :: TyFun (TyFun a6989586621679448470 b6989586621679448471 -> Type) (TyFun [a6989586621679448470] [b6989586621679448471] -> Type) -> *) (l :: TyFun a6989586621679448470 b6989586621679448471 -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (MapSym0 :: TyFun (TyFun a6989586621679448470 b6989586621679448471 -> Type) (TyFun [a6989586621679448470] [b6989586621679448471] -> Type) -> *) (l :: TyFun a6989586621679448470 b6989586621679448471 -> Type) = MapSym1 l

data MapSym1 (l :: TyFun a6989586621679448470 b6989586621679448471 -> Type) (l :: TyFun [a6989586621679448470] [b6989586621679448471]) Source #

Instances

SuppressUnusedWarnings (MapSym1 :: (TyFun a6989586621679448470 b6989586621679448471 -> Type) -> TyFun [a6989586621679448470] [b6989586621679448471] -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (MapSym1 l1 :: TyFun [a] [b] -> *) (l2 :: [a]) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (MapSym1 l1 :: TyFun [a] [b] -> *) (l2 :: [a]) = Map l1 l2

type MapSym2 (t :: TyFun a6989586621679448470 b6989586621679448471 -> Type) (t :: [a6989586621679448470]) = Map t t Source #

data (++@#@$) (l :: TyFun [a6989586621679448469] (TyFun [a6989586621679448469] [a6989586621679448469] -> Type)) Source #

Instances

SuppressUnusedWarnings ((++@#@$) :: TyFun [a6989586621679448469] (TyFun [a6989586621679448469] [a6989586621679448469] -> Type) -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply ((++@#@$) :: TyFun [a6989586621679448469] (TyFun [a6989586621679448469] [a6989586621679448469] -> Type) -> *) (l :: [a6989586621679448469]) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply ((++@#@$) :: TyFun [a6989586621679448469] (TyFun [a6989586621679448469] [a6989586621679448469] -> Type) -> *) (l :: [a6989586621679448469]) = (++@#@$$) l

data (l :: [a6989586621679448469]) ++@#@$$ (l :: TyFun [a6989586621679448469] [a6989586621679448469]) Source #

Instances

SuppressUnusedWarnings ((++@#@$$) :: [a6989586621679448469] -> TyFun [a6989586621679448469] [a6989586621679448469] -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply ((++@#@$$) l1 :: TyFun [a] [a] -> *) (l2 :: [a]) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply ((++@#@$$) l1 :: TyFun [a] [a] -> *) (l2 :: [a]) = l1 ++ l2

type (++@#@$$$) (t :: [a6989586621679448469]) (t :: [a6989586621679448469]) = (++) t t Source #

type OtherwiseSym0 = Otherwise Source #

data IdSym0 (l :: TyFun a6989586621679448468 a6989586621679448468) Source #

Instances

SuppressUnusedWarnings (IdSym0 :: TyFun a6989586621679448468 a6989586621679448468 -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (IdSym0 :: TyFun a a -> *) (l :: a) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (IdSym0 :: TyFun a a -> *) (l :: a) = Id l

type IdSym1 (t :: a6989586621679448468) = Id t Source #

data ConstSym0 (l :: TyFun a6989586621679448466 (TyFun b6989586621679448467 a6989586621679448466 -> Type)) Source #

Instances

SuppressUnusedWarnings (ConstSym0 :: TyFun a6989586621679448466 (TyFun b6989586621679448467 a6989586621679448466 -> Type) -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (ConstSym0 :: TyFun a6989586621679448466 (TyFun b6989586621679448467 a6989586621679448466 -> Type) -> *) (l :: a6989586621679448466) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (ConstSym0 :: TyFun a6989586621679448466 (TyFun b6989586621679448467 a6989586621679448466 -> Type) -> ) (l :: a6989586621679448466) = (ConstSym1 l :: TyFun b6989586621679448467 a6989586621679448466 -> )

data ConstSym1 (l :: a6989586621679448466) (l :: TyFun b6989586621679448467 a6989586621679448466) Source #

Instances

SuppressUnusedWarnings (ConstSym1 :: a6989586621679448466 -> TyFun b6989586621679448467 a6989586621679448466 -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (ConstSym1 l1 :: TyFun b a -> *) (l2 :: b) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (ConstSym1 l1 :: TyFun b a -> *) (l2 :: b) = Const l1 l2

type ConstSym2 (t :: a6989586621679448466) (t :: b6989586621679448467) = Const t t Source #

data (.@#@$) (l :: TyFun (TyFun b6989586621679448463 c6989586621679448464 -> Type) (TyFun (TyFun a6989586621679448465 b6989586621679448463 -> Type) (TyFun a6989586621679448465 c6989586621679448464 -> Type) -> Type)) Source #

Instances

SuppressUnusedWarnings ((.@#@$) :: TyFun (TyFun b6989586621679448463 c6989586621679448464 -> Type) (TyFun (TyFun a6989586621679448465 b6989586621679448463 -> Type) (TyFun a6989586621679448465 c6989586621679448464 -> Type) -> Type) -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply ((.@#@$) :: TyFun (TyFun b6989586621679448463 c6989586621679448464 -> Type) (TyFun (TyFun a6989586621679448465 b6989586621679448463 -> Type) (TyFun a6989586621679448465 c6989586621679448464 -> Type) -> Type) -> *) (l :: TyFun b6989586621679448463 c6989586621679448464 -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply ((.@#@$) :: TyFun (TyFun b6989586621679448463 c6989586621679448464 -> Type) (TyFun (TyFun a6989586621679448465 b6989586621679448463 -> Type) (TyFun a6989586621679448465 c6989586621679448464 -> Type) -> Type) -> ) (l :: TyFun b6989586621679448463 c6989586621679448464 -> Type) = ((.@#@$$) l :: TyFun (TyFun a6989586621679448465 b6989586621679448463 -> Type) (TyFun a6989586621679448465 c6989586621679448464 -> Type) -> )

data (l :: TyFun b6989586621679448463 c6989586621679448464 -> Type) .@#@$$ (l :: TyFun (TyFun a6989586621679448465 b6989586621679448463 -> Type) (TyFun a6989586621679448465 c6989586621679448464 -> Type)) Source #

Instances

SuppressUnusedWarnings ((.@#@$$) :: (TyFun b6989586621679448463 c6989586621679448464 -> Type) -> TyFun (TyFun a6989586621679448465 b6989586621679448463 -> Type) (TyFun a6989586621679448465 c6989586621679448464 -> Type) -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply ((.@#@$$) l1 :: TyFun (TyFun a6989586621679448465 b6989586621679448463 -> Type) (TyFun a6989586621679448465 c6989586621679448464 -> Type) -> *) (l2 :: TyFun a6989586621679448465 b6989586621679448463 -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply ((.@#@$$) l1 :: TyFun (TyFun a6989586621679448465 b6989586621679448463 -> Type) (TyFun a6989586621679448465 c6989586621679448464 -> Type) -> *) (l2 :: TyFun a6989586621679448465 b6989586621679448463 -> Type) = l1 .@#@$$$ l2

data ((l :: TyFun b6989586621679448463 c6989586621679448464 -> Type) .@#@$$$ (l :: TyFun a6989586621679448465 b6989586621679448463 -> Type)) (l :: TyFun a6989586621679448465 c6989586621679448464) Source #

Instances

SuppressUnusedWarnings ((.@#@$$$) :: (TyFun b6989586621679448463 c6989586621679448464 -> Type) -> (TyFun a6989586621679448465 b6989586621679448463 -> Type) -> TyFun a6989586621679448465 c6989586621679448464 -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (l1 .@#@$$$ l2 :: TyFun a c -> *) (l3 :: a) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (l1 .@#@$$$ l2 :: TyFun a c -> *) (l3 :: a) = (l1 :. l2) l3

type (.@#@$$$$) (t :: TyFun b6989586621679448463 c6989586621679448464 -> Type) (t :: TyFun a6989586621679448465 b6989586621679448463 -> Type) (t :: a6989586621679448465) = (:.) t t t Source #

data ($@#@$) (l :: TyFun (TyFun a6989586621679448457 b6989586621679448458 -> Type) (TyFun a6989586621679448457 b6989586621679448458 -> Type)) Source #

Instances

SuppressUnusedWarnings (($@#@$) :: TyFun (TyFun a6989586621679448457 b6989586621679448458 -> Type) (TyFun a6989586621679448457 b6989586621679448458 -> Type) -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (($@#@$) :: TyFun (TyFun a6989586621679448457 b6989586621679448458 -> Type) (TyFun a6989586621679448457 b6989586621679448458 -> Type) -> *) (l :: TyFun a6989586621679448457 b6989586621679448458 -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (($@#@$) :: TyFun (TyFun a6989586621679448457 b6989586621679448458 -> Type) (TyFun a6989586621679448457 b6989586621679448458 -> Type) -> *) (l :: TyFun a6989586621679448457 b6989586621679448458 -> Type) = ($@#@$$) l

data (l :: TyFun a6989586621679448457 b6989586621679448458 -> Type) $@#@$$ (l :: TyFun a6989586621679448457 b6989586621679448458) Source #

Instances

SuppressUnusedWarnings (($@#@$$) :: (TyFun a6989586621679448457 b6989586621679448458 -> Type) -> TyFun a6989586621679448457 b6989586621679448458 -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (($@#@$$) l1 :: TyFun a b -> *) (l2 :: a) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (($@#@$$) l1 :: TyFun a b -> *) (l2 :: a) = l1 $ l2

type ($@#@$$$) (t :: TyFun a6989586621679448457 b6989586621679448458 -> Type) (t :: a6989586621679448457) = ($) t t Source #

data ($!@#@$) (l :: TyFun (TyFun a6989586621679448455 b6989586621679448456 -> Type) (TyFun a6989586621679448455 b6989586621679448456 -> Type)) Source #

Instances

SuppressUnusedWarnings (($!@#@$) :: TyFun (TyFun a6989586621679448455 b6989586621679448456 -> Type) (TyFun a6989586621679448455 b6989586621679448456 -> Type) -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (($!@#@$) :: TyFun (TyFun a6989586621679448455 b6989586621679448456 -> Type) (TyFun a6989586621679448455 b6989586621679448456 -> Type) -> *) (l :: TyFun a6989586621679448455 b6989586621679448456 -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (($!@#@$) :: TyFun (TyFun a6989586621679448455 b6989586621679448456 -> Type) (TyFun a6989586621679448455 b6989586621679448456 -> Type) -> *) (l :: TyFun a6989586621679448455 b6989586621679448456 -> Type) = ($!@#@$$) l

data (l :: TyFun a6989586621679448455 b6989586621679448456 -> Type) $!@#@$$ (l :: TyFun a6989586621679448455 b6989586621679448456) Source #

Instances

SuppressUnusedWarnings (($!@#@$$) :: (TyFun a6989586621679448455 b6989586621679448456 -> Type) -> TyFun a6989586621679448455 b6989586621679448456 -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (($!@#@$$) l1 :: TyFun a b -> *) (l2 :: a) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (($!@#@$$) l1 :: TyFun a b -> *) (l2 :: a) = l1 $! l2

type ($!@#@$$$) (t :: TyFun a6989586621679448455 b6989586621679448456 -> Type) (t :: a6989586621679448455) = ($!) t t Source #

data FlipSym0 (l :: TyFun (TyFun a6989586621679448460 (TyFun b6989586621679448461 c6989586621679448462 -> Type) -> Type) (TyFun b6989586621679448461 (TyFun a6989586621679448460 c6989586621679448462 -> Type) -> Type)) Source #

Instances

SuppressUnusedWarnings (FlipSym0 :: TyFun (TyFun a6989586621679448460 (TyFun b6989586621679448461 c6989586621679448462 -> Type) -> Type) (TyFun b6989586621679448461 (TyFun a6989586621679448460 c6989586621679448462 -> Type) -> Type) -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (FlipSym0 :: TyFun (TyFun a6989586621679448460 (TyFun b6989586621679448461 c6989586621679448462 -> Type) -> Type) (TyFun b6989586621679448461 (TyFun a6989586621679448460 c6989586621679448462 -> Type) -> Type) -> *) (l :: TyFun a6989586621679448460 (TyFun b6989586621679448461 c6989586621679448462 -> Type) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (FlipSym0 :: TyFun (TyFun a6989586621679448460 (TyFun b6989586621679448461 c6989586621679448462 -> Type) -> Type) (TyFun b6989586621679448461 (TyFun a6989586621679448460 c6989586621679448462 -> Type) -> Type) -> *) (l :: TyFun a6989586621679448460 (TyFun b6989586621679448461 c6989586621679448462 -> Type) -> Type) = FlipSym1 l

data FlipSym1 (l :: TyFun a6989586621679448460 (TyFun b6989586621679448461 c6989586621679448462 -> Type) -> Type) (l :: TyFun b6989586621679448461 (TyFun a6989586621679448460 c6989586621679448462 -> Type)) Source #

Instances

SuppressUnusedWarnings (FlipSym1 :: (TyFun a6989586621679448460 (TyFun b6989586621679448461 c6989586621679448462 -> Type) -> Type) -> TyFun b6989586621679448461 (TyFun a6989586621679448460 c6989586621679448462 -> Type) -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (FlipSym1 l1 :: TyFun b6989586621679448461 (TyFun a6989586621679448460 c6989586621679448462 -> Type) -> *) (l2 :: b6989586621679448461) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (FlipSym1 l1 :: TyFun b6989586621679448461 (TyFun a6989586621679448460 c6989586621679448462 -> Type) -> *) (l2 :: b6989586621679448461) = FlipSym2 l1 l2

data FlipSym2 (l :: TyFun a6989586621679448460 (TyFun b6989586621679448461 c6989586621679448462 -> Type) -> Type) (l :: b6989586621679448461) (l :: TyFun a6989586621679448460 c6989586621679448462) Source #

Instances

SuppressUnusedWarnings (FlipSym2 :: (TyFun a6989586621679448460 (TyFun b6989586621679448461 c6989586621679448462 -> Type) -> Type) -> b6989586621679448461 -> TyFun a6989586621679448460 c6989586621679448462 -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (FlipSym2 l1 l2 :: TyFun a c -> *) (l3 :: a) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (FlipSym2 l1 l2 :: TyFun a c -> *) (l3 :: a) = Flip l1 l2 l3

type FlipSym3 (t :: TyFun a6989586621679448460 (TyFun b6989586621679448461 c6989586621679448462 -> Type) -> Type) (t :: b6989586621679448461) (t :: a6989586621679448460) = Flip t t t Source #

data AsTypeOfSym0 (l :: TyFun a6989586621679448459 (TyFun a6989586621679448459 a6989586621679448459 -> Type)) Source #

Instances

SuppressUnusedWarnings (AsTypeOfSym0 :: TyFun a6989586621679448459 (TyFun a6989586621679448459 a6989586621679448459 -> Type) -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (AsTypeOfSym0 :: TyFun a6989586621679448459 (TyFun a6989586621679448459 a6989586621679448459 -> Type) -> *) (l :: a6989586621679448459) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (AsTypeOfSym0 :: TyFun a6989586621679448459 (TyFun a6989586621679448459 a6989586621679448459 -> Type) -> *) (l :: a6989586621679448459) = AsTypeOfSym1 l

data AsTypeOfSym1 (l :: a6989586621679448459) (l :: TyFun a6989586621679448459 a6989586621679448459) Source #

Instances

SuppressUnusedWarnings (AsTypeOfSym1 :: a6989586621679448459 -> TyFun a6989586621679448459 a6989586621679448459 -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (AsTypeOfSym1 l1 :: TyFun a a -> *) (l2 :: a) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (AsTypeOfSym1 l1 :: TyFun a a -> *) (l2 :: a) = AsTypeOf l1 l2

type AsTypeOfSym2 (t :: a6989586621679448459) (t :: a6989586621679448459) = AsTypeOf t t Source #

data SeqSym0 (l :: TyFun a6989586621679448453 (TyFun b6989586621679448454 b6989586621679448454 -> Type)) Source #

Instances

SuppressUnusedWarnings (SeqSym0 :: TyFun a6989586621679448453 (TyFun b6989586621679448454 b6989586621679448454 -> Type) -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (SeqSym0 :: TyFun a6989586621679448453 (TyFun b6989586621679448454 b6989586621679448454 -> Type) -> *) (l :: a6989586621679448453) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (SeqSym0 :: TyFun a6989586621679448453 (TyFun b6989586621679448454 b6989586621679448454 -> Type) -> ) (l :: a6989586621679448453) = (SeqSym1 l :: TyFun b6989586621679448454 b6989586621679448454 -> )

data SeqSym1 (l :: a6989586621679448453) (l :: TyFun b6989586621679448454 b6989586621679448454) Source #

Instances

SuppressUnusedWarnings (SeqSym1 :: a6989586621679448453 -> TyFun b6989586621679448454 b6989586621679448454 -> *) Source #
Instance details Defined in Data.Singletons.Prelude.Base Methods suppressUnusedWarnings :: () Source #
type Apply (SeqSym1 l1 :: TyFun b b -> *) (l2 :: b) Source #
Instance details Defined in Data.Singletons.Prelude.Base type Apply (SeqSym1 l1 :: TyFun b b -> *) (l2 :: b) = Seq l1 l2

type SeqSym2 (t :: a6989586621679448453) (t :: b6989586621679448454) = Seq t t Source #