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 (f :: TyFun a b -> *) $ (x :: a) :: b
type family (f :: TyFun a b -> *) $! (x :: a) :: b
(%$) :: forall (f :: TyFun a b -> *) (x :: a). Sing f -> Sing x -> Sing ((($$) @@ f) @@ x)
(%$!) :: forall (f :: TyFun a b -> *) (x :: a). Sing f -> Sing x -> Sing ((($!$) @@ f) @@ x)
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 a6989586621679292517 (TyFun b6989586621679292518 b6989586621679292518 -> Type) -> Type) (TyFun b6989586621679292518 (TyFun [a6989586621679292517] b6989586621679292518 -> Type) -> Type))
data FoldrSym1 (l :: TyFun a6989586621679292517 (TyFun b6989586621679292518 b6989586621679292518 -> Type) -> Type) (l :: TyFun b6989586621679292518 (TyFun [a6989586621679292517] b6989586621679292518 -> Type))
data FoldrSym2 (l :: TyFun a6989586621679292517 (TyFun b6989586621679292518 b6989586621679292518 -> Type) -> Type) (l :: b6989586621679292518) (l :: TyFun [a6989586621679292517] b6989586621679292518)
type FoldrSym3 (t :: TyFun a6989586621679292517 (TyFun b6989586621679292518 b6989586621679292518 -> Type) -> Type) (t :: b6989586621679292518) (t :: [a6989586621679292517]) = Foldr t t t
data MapSym0 (l :: TyFun (TyFun a6989586621679292515 b6989586621679292516 -> Type) (TyFun [a6989586621679292515] [b6989586621679292516] -> Type))
data MapSym1 (l :: TyFun a6989586621679292515 b6989586621679292516 -> Type) (l :: TyFun [a6989586621679292515] [b6989586621679292516])
type MapSym2 (t :: TyFun a6989586621679292515 b6989586621679292516 -> Type) (t :: [a6989586621679292515]) = Map t t
data (:++$) (l :: TyFun [a6989586621679292514] (TyFun [a6989586621679292514] [a6989586621679292514] -> Type))
data (l :: [a6989586621679292514]) :++$$ (l :: TyFun [a6989586621679292514] [a6989586621679292514])
type (:++$$$) (t :: [a6989586621679292514]) (t :: [a6989586621679292514]) = (:++) t t
type OtherwiseSym0 = Otherwise
data IdSym0 (l :: TyFun a6989586621679292513 a6989586621679292513)
type IdSym1 (t :: a6989586621679292513) = Id t
data ConstSym0 (l :: TyFun a6989586621679292511 (TyFun b6989586621679292512 a6989586621679292511 -> Type))
data ConstSym1 (l :: a6989586621679292511) (l :: TyFun b6989586621679292512 a6989586621679292511)
type ConstSym2 (t :: a6989586621679292511) (t :: b6989586621679292512) = Const t t
data (:.$) (l :: TyFun (TyFun b6989586621679292508 c6989586621679292509 -> Type) (TyFun (TyFun a6989586621679292510 b6989586621679292508 -> Type) (TyFun a6989586621679292510 c6989586621679292509 -> Type) -> Type))
data (l :: TyFun b6989586621679292508 c6989586621679292509 -> Type) :.$$ (l :: TyFun (TyFun a6989586621679292510 b6989586621679292508 -> Type) (TyFun a6989586621679292510 c6989586621679292509 -> Type))
data ((l :: TyFun b6989586621679292508 c6989586621679292509 -> Type) :.$$$ (l :: TyFun a6989586621679292510 b6989586621679292508 -> Type)) (l :: TyFun a6989586621679292510 c6989586621679292509)
type (:.$$$$) (t :: TyFun b6989586621679292508 c6989586621679292509 -> Type) (t :: TyFun a6989586621679292510 b6989586621679292508 -> Type) (t :: a6989586621679292510) = (:.) t t t
data ($$) :: TyFun (TyFun a b -> *) (TyFun a b -> *) -> *
data ($$$) :: (TyFun a b -> *) -> TyFun a b -> *
type ($$$$) a b = ($) a b
data ($!$) :: TyFun (TyFun a b -> *) (TyFun a b -> *) -> *
data ($!$$) :: (TyFun a b -> *) -> TyFun a b -> *
type ($!$$$) a b = ($!) a b
data FlipSym0 (l :: TyFun (TyFun a6989586621679292505 (TyFun b6989586621679292506 c6989586621679292507 -> Type) -> Type) (TyFun b6989586621679292506 (TyFun a6989586621679292505 c6989586621679292507 -> Type) -> Type))
data FlipSym1 (l :: TyFun a6989586621679292505 (TyFun b6989586621679292506 c6989586621679292507 -> Type) -> Type) (l :: TyFun b6989586621679292506 (TyFun a6989586621679292505 c6989586621679292507 -> Type))
data FlipSym2 (l :: TyFun a6989586621679292505 (TyFun b6989586621679292506 c6989586621679292507 -> Type) -> Type) (l :: b6989586621679292506) (l :: TyFun a6989586621679292505 c6989586621679292507)
type FlipSym3 (t :: TyFun a6989586621679292505 (TyFun b6989586621679292506 c6989586621679292507 -> Type) -> Type) (t :: b6989586621679292506) (t :: a6989586621679292505) = Flip t t t
data AsTypeOfSym0 (l :: TyFun a6989586621679292504 (TyFun a6989586621679292504 a6989586621679292504 -> Type))
data AsTypeOfSym1 (l :: a6989586621679292504) (l :: TyFun a6989586621679292504 a6989586621679292504)
type AsTypeOfSym2 (t :: a6989586621679292504) (t :: a6989586621679292504) = AsTypeOf t t
data SeqSym0 (l :: TyFun a6989586621679292502 (TyFun b6989586621679292503 b6989586621679292503 -> Type))
data SeqSym1 (l :: a6989586621679292502) (l :: TyFun b6989586621679292503 b6989586621679292503)
type SeqSym2 (t :: a6989586621679292502) (t :: b6989586621679292503) = Seq t t

Basic functions

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

Equations

Foldr k z a_6989586621679292698 = Apply (Let6989586621679292703GoSym3 k z a_6989586621679292698) a_6989586621679292698

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 ... #

Equations

Map _z_6989586621679292677 '[] = '[]
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]) #

type family (a :: [a]) :++ (a :: [a]) :: [a] where ... infixr 5 #

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 #

type family Otherwise :: Bool where ... #

Equations

Otherwise = TrueSym0

sOtherwise :: Sing (OtherwiseSym0 :: Bool) #

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

Equations

Id x = x

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

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

Equations

Const x _z_6989586621679292632 = x

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 ... infixr 9 #

Equations

(f :. g) a_6989586621679292595 = Apply (Apply (Apply (Apply Lambda_6989586621679292600Sym0 f) g) a_6989586621679292595) a_6989586621679292595

(%:.) :: 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 #

type family (f :: TyFun a b -> *) $ (x :: a) :: b infixr 0 #

Instances

type ($) k1 k f x #
type ($) k1 k f x = (@@) k1 k f x

type family (f :: TyFun a b -> *) $! (x :: a) :: b infixr 0 #

Instances

type ($!) k1 k f x #
type ($!) k1 k f x = (@@) k1 k f x

(%$) :: forall (f :: TyFun a b -> *) (x :: a). Sing f -> Sing x -> Sing ((($$) @@ f) @@ x) infixr 0 #

(%$!) :: forall (f :: TyFun a b -> *) (x :: a). Sing f -> Sing x -> Sing ((($!$) @@ f) @@ x) infixr 0 #

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

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) #

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

Equations

AsTypeOf a_6989586621679292635 a_6989586621679292637 = Apply (Apply ConstSym0 a_6989586621679292635) a_6989586621679292637

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 ... infixr 0 #

Equations

Seq _z_6989586621679292558 x = x

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

Defunctionalization symbols

data FoldrSym0 (l :: TyFun (TyFun a6989586621679292517 (TyFun b6989586621679292518 b6989586621679292518 -> Type) -> Type) (TyFun b6989586621679292518 (TyFun [a6989586621679292517] b6989586621679292518 -> Type) -> Type)) #

Instances

SuppressUnusedWarnings (TyFun (TyFun a6989586621679292517 (TyFun b6989586621679292518 b6989586621679292518 -> Type) -> Type) (TyFun b6989586621679292518 (TyFun [a6989586621679292517] b6989586621679292518 -> Type) -> Type) -> *) (FoldrSym0 a6989586621679292517 b6989586621679292518) #
Methods suppressUnusedWarnings :: Proxy (FoldrSym0 a6989586621679292517 b6989586621679292518) t -> () #
type Apply (TyFun a6989586621679292517 (TyFun b6989586621679292518 b6989586621679292518 -> Type) -> Type) (TyFun b6989586621679292518 (TyFun [a6989586621679292517] b6989586621679292518 -> Type) -> Type) (FoldrSym0 a6989586621679292517 b6989586621679292518) l #
type Apply (TyFun a6989586621679292517 (TyFun b6989586621679292518 b6989586621679292518 -> Type) -> Type) (TyFun b6989586621679292518 (TyFun [a6989586621679292517] b6989586621679292518 -> Type) -> Type) (FoldrSym0 a6989586621679292517 b6989586621679292518) l = FoldrSym1 a6989586621679292517 b6989586621679292518 l

data FoldrSym1 (l :: TyFun a6989586621679292517 (TyFun b6989586621679292518 b6989586621679292518 -> Type) -> Type) (l :: TyFun b6989586621679292518 (TyFun [a6989586621679292517] b6989586621679292518 -> Type)) #

Instances

SuppressUnusedWarnings ((TyFun a6989586621679292517 (TyFun b6989586621679292518 b6989586621679292518 -> Type) -> Type) -> TyFun b6989586621679292518 (TyFun [a6989586621679292517] b6989586621679292518 -> Type) -> *) (FoldrSym1 a6989586621679292517 b6989586621679292518) #
Methods suppressUnusedWarnings :: Proxy (FoldrSym1 a6989586621679292517 b6989586621679292518) t -> () #
type Apply b6989586621679292518 (TyFun [a6989586621679292517] b6989586621679292518 -> Type) (FoldrSym1 a6989586621679292517 b6989586621679292518 l1) l2 #
type Apply b6989586621679292518 (TyFun [a6989586621679292517] b6989586621679292518 -> Type) (FoldrSym1 a6989586621679292517 b6989586621679292518 l1) l2 = FoldrSym2 a6989586621679292517 b6989586621679292518 l1 l2

data FoldrSym2 (l :: TyFun a6989586621679292517 (TyFun b6989586621679292518 b6989586621679292518 -> Type) -> Type) (l :: b6989586621679292518) (l :: TyFun [a6989586621679292517] b6989586621679292518) #

Instances

SuppressUnusedWarnings ((TyFun a6989586621679292517 (TyFun b6989586621679292518 b6989586621679292518 -> Type) -> Type) -> b6989586621679292518 -> TyFun [a6989586621679292517] b6989586621679292518 -> *) (FoldrSym2 a6989586621679292517 b6989586621679292518) #
Methods suppressUnusedWarnings :: Proxy (FoldrSym2 a6989586621679292517 b6989586621679292518) t -> () #
type Apply [a] b (FoldrSym2 a b l1 l2) l3 #
type Apply [a] b (FoldrSym2 a b l1 l2) l3 = Foldr a b l1 l2 l3

type FoldrSym3 (t :: TyFun a6989586621679292517 (TyFun b6989586621679292518 b6989586621679292518 -> Type) -> Type) (t :: b6989586621679292518) (t :: [a6989586621679292517]) = Foldr t t t #

data MapSym0 (l :: TyFun (TyFun a6989586621679292515 b6989586621679292516 -> Type) (TyFun [a6989586621679292515] [b6989586621679292516] -> Type)) #

Instances

SuppressUnusedWarnings (TyFun (TyFun a6989586621679292515 b6989586621679292516 -> Type) (TyFun [a6989586621679292515] [b6989586621679292516] -> Type) -> *) (MapSym0 a6989586621679292515 b6989586621679292516) #
Methods suppressUnusedWarnings :: Proxy (MapSym0 a6989586621679292515 b6989586621679292516) t -> () #
type Apply (TyFun a6989586621679292515 b6989586621679292516 -> Type) (TyFun [a6989586621679292515] [b6989586621679292516] -> Type) (MapSym0 a6989586621679292515 b6989586621679292516) l #
type Apply (TyFun a6989586621679292515 b6989586621679292516 -> Type) (TyFun [a6989586621679292515] [b6989586621679292516] -> Type) (MapSym0 a6989586621679292515 b6989586621679292516) l = MapSym1 a6989586621679292515 b6989586621679292516 l

data MapSym1 (l :: TyFun a6989586621679292515 b6989586621679292516 -> Type) (l :: TyFun [a6989586621679292515] [b6989586621679292516]) #

Instances

SuppressUnusedWarnings ((TyFun a6989586621679292515 b6989586621679292516 -> Type) -> TyFun [a6989586621679292515] [b6989586621679292516] -> *) (MapSym1 a6989586621679292515 b6989586621679292516) #
Methods suppressUnusedWarnings :: Proxy (MapSym1 a6989586621679292515 b6989586621679292516) t -> () #
type Apply [a] [b] (MapSym1 a b l1) l2 #
type Apply [a] [b] (MapSym1 a b l1) l2 = Map a b l1 l2

type MapSym2 (t :: TyFun a6989586621679292515 b6989586621679292516 -> Type) (t :: [a6989586621679292515]) = Map t t #

data (:++$) (l :: TyFun [a6989586621679292514] (TyFun [a6989586621679292514] [a6989586621679292514] -> Type)) #

Instances

SuppressUnusedWarnings (TyFun [a6989586621679292514] (TyFun [a6989586621679292514] [a6989586621679292514] -> Type) -> *) ((:++$) a6989586621679292514) #
Methods suppressUnusedWarnings :: Proxy ((:++$) a6989586621679292514) t -> () #
type Apply [a6989586621679292514] (TyFun [a6989586621679292514] [a6989586621679292514] -> Type) ((:++$) a6989586621679292514) l #
type Apply [a6989586621679292514] (TyFun [a6989586621679292514] [a6989586621679292514] -> Type) ((:++$) a6989586621679292514) l = (:++$$) a6989586621679292514 l

data (l :: [a6989586621679292514]) :++$$ (l :: TyFun [a6989586621679292514] [a6989586621679292514]) #

Instances

SuppressUnusedWarnings ([a6989586621679292514] -> TyFun [a6989586621679292514] [a6989586621679292514] -> *) ((:++$$) a6989586621679292514) #
Methods suppressUnusedWarnings :: Proxy ((:++$$) a6989586621679292514) t -> () #
type Apply [a] [a] ((:++$$) a l1) l2 #
type Apply [a] [a] ((:++$$) a l1) l2 = (:++) a l1 l2

type (:++$$$) (t :: [a6989586621679292514]) (t :: [a6989586621679292514]) = (:++) t t #

type OtherwiseSym0 = Otherwise #

data IdSym0 (l :: TyFun a6989586621679292513 a6989586621679292513) #

Instances

SuppressUnusedWarnings (TyFun a6989586621679292513 a6989586621679292513 -> *) (IdSym0 a6989586621679292513) #
Methods suppressUnusedWarnings :: Proxy (IdSym0 a6989586621679292513) t -> () #
type Apply a a (IdSym0 a) l #
type Apply a a (IdSym0 a) l = Id a l

type IdSym1 (t :: a6989586621679292513) = Id t #

data ConstSym0 (l :: TyFun a6989586621679292511 (TyFun b6989586621679292512 a6989586621679292511 -> Type)) #

Instances

SuppressUnusedWarnings (TyFun a6989586621679292511 (TyFun b6989586621679292512 a6989586621679292511 -> Type) -> *) (ConstSym0 b6989586621679292512 a6989586621679292511) #
Methods suppressUnusedWarnings :: Proxy (ConstSym0 b6989586621679292512 a6989586621679292511) t -> () #
type Apply a6989586621679292511 (TyFun b6989586621679292512 a6989586621679292511 -> Type) (ConstSym0 b6989586621679292512 a6989586621679292511) l #
type Apply a6989586621679292511 (TyFun b6989586621679292512 a6989586621679292511 -> Type) (ConstSym0 b6989586621679292512 a6989586621679292511) l = ConstSym1 b6989586621679292512 a6989586621679292511 l

data ConstSym1 (l :: a6989586621679292511) (l :: TyFun b6989586621679292512 a6989586621679292511) #

Instances

SuppressUnusedWarnings (a6989586621679292511 -> TyFun b6989586621679292512 a6989586621679292511 -> *) (ConstSym1 b6989586621679292512 a6989586621679292511) #
Methods suppressUnusedWarnings :: Proxy (ConstSym1 b6989586621679292512 a6989586621679292511) t -> () #
type Apply b a (ConstSym1 b a l1) l2 #
type Apply b a (ConstSym1 b a l1) l2 = Const b a l1 l2

type ConstSym2 (t :: a6989586621679292511) (t :: b6989586621679292512) = Const t t #

data (:.$) (l :: TyFun (TyFun b6989586621679292508 c6989586621679292509 -> Type) (TyFun (TyFun a6989586621679292510 b6989586621679292508 -> Type) (TyFun a6989586621679292510 c6989586621679292509 -> Type) -> Type)) #

Instances

SuppressUnusedWarnings (TyFun (TyFun b6989586621679292508 c6989586621679292509 -> Type) (TyFun (TyFun a6989586621679292510 b6989586621679292508 -> Type) (TyFun a6989586621679292510 c6989586621679292509 -> Type) -> Type) -> *) ((:.$) b6989586621679292508 a6989586621679292510 c6989586621679292509) #
Methods suppressUnusedWarnings :: Proxy ((b6989586621679292508 :.$ a6989586621679292510) c6989586621679292509) t -> () #
type Apply (TyFun b6989586621679292508 c6989586621679292509 -> Type) (TyFun (TyFun a6989586621679292510 b6989586621679292508 -> Type) (TyFun a6989586621679292510 c6989586621679292509 -> Type) -> Type) ((:.$) b6989586621679292508 a6989586621679292510 c6989586621679292509) l #
type Apply (TyFun b6989586621679292508 c6989586621679292509 -> Type) (TyFun (TyFun a6989586621679292510 b6989586621679292508 -> Type) (TyFun a6989586621679292510 c6989586621679292509 -> Type) -> Type) ((:.$) b6989586621679292508 a6989586621679292510 c6989586621679292509) l = (:.$$) b6989586621679292508 a6989586621679292510 c6989586621679292509 l

data (l :: TyFun b6989586621679292508 c6989586621679292509 -> Type) :.$$ (l :: TyFun (TyFun a6989586621679292510 b6989586621679292508 -> Type) (TyFun a6989586621679292510 c6989586621679292509 -> Type)) #

Instances

SuppressUnusedWarnings ((TyFun b6989586621679292508 c6989586621679292509 -> Type) -> TyFun (TyFun a6989586621679292510 b6989586621679292508 -> Type) (TyFun a6989586621679292510 c6989586621679292509 -> Type) -> *) ((:.$$) b6989586621679292508 a6989586621679292510 c6989586621679292509) #
Methods suppressUnusedWarnings :: Proxy ((b6989586621679292508 :.$$ a6989586621679292510) c6989586621679292509) t -> () #
type Apply (TyFun a6989586621679292510 b6989586621679292508 -> Type) (TyFun a6989586621679292510 c6989586621679292509 -> Type) ((:.$$) b6989586621679292508 a6989586621679292510 c6989586621679292509 l1) l2 #
type Apply (TyFun a6989586621679292510 b6989586621679292508 -> Type) (TyFun a6989586621679292510 c6989586621679292509 -> Type) ((:.$$) b6989586621679292508 a6989586621679292510 c6989586621679292509 l1) l2 = (:.$$$) b6989586621679292508 a6989586621679292510 c6989586621679292509 l1 l2

data ((l :: TyFun b6989586621679292508 c6989586621679292509 -> Type) :.$$$ (l :: TyFun a6989586621679292510 b6989586621679292508 -> Type)) (l :: TyFun a6989586621679292510 c6989586621679292509) #

Instances

SuppressUnusedWarnings ((TyFun b6989586621679292508 c6989586621679292509 -> Type) -> (TyFun a6989586621679292510 b6989586621679292508 -> Type) -> TyFun a6989586621679292510 c6989586621679292509 -> *) ((:.$$$) b6989586621679292508 a6989586621679292510 c6989586621679292509) #
Methods suppressUnusedWarnings :: Proxy ((b6989586621679292508 :.$$$ a6989586621679292510) c6989586621679292509) t -> () #
type Apply a c ((:.$$$) b a c l1 l2) l3 #
type Apply a c ((:.$$$) b a c l1 l2) l3 = (:.) b a c l1 l2 l3

type (:.$$$$) (t :: TyFun b6989586621679292508 c6989586621679292509 -> Type) (t :: TyFun a6989586621679292510 b6989586621679292508 -> Type) (t :: a6989586621679292510) = (:.) t t t #

data ($$) :: TyFun (TyFun a b -> *) (TyFun a b -> *) -> * #

Instances

type Apply (TyFun a b -> ) (TyFun a b -> ) (($$) a b) arg #
type Apply (TyFun a b -> ) (TyFun a b -> ) (($$) a b) arg = ($$$) a b arg

data ($$$) :: (TyFun a b -> *) -> TyFun a b -> * #

Instances

type Apply a k (($$$) a k f) arg #
type Apply a k (($$$) a k f) arg = ($$$$) a k f arg

type ($$$$) a b = ($) a b #

data ($!$) :: TyFun (TyFun a b -> *) (TyFun a b -> *) -> * #

Instances

type Apply (TyFun a b -> ) (TyFun a b -> ) (($!$) a b) arg #
type Apply (TyFun a b -> ) (TyFun a b -> ) (($!$) a b) arg = ($!$$) a b arg

data ($!$$) :: (TyFun a b -> *) -> TyFun a b -> * #

Instances

type Apply a k (($!$$) a k f) arg #
type Apply a k (($!$$) a k f) arg = ($!$$$) a k f arg

type ($!$$$) a b = ($!) a b #

data FlipSym0 (l :: TyFun (TyFun a6989586621679292505 (TyFun b6989586621679292506 c6989586621679292507 -> Type) -> Type) (TyFun b6989586621679292506 (TyFun a6989586621679292505 c6989586621679292507 -> Type) -> Type)) #

Instances

SuppressUnusedWarnings (TyFun (TyFun a6989586621679292505 (TyFun b6989586621679292506 c6989586621679292507 -> Type) -> Type) (TyFun b6989586621679292506 (TyFun a6989586621679292505 c6989586621679292507 -> Type) -> Type) -> *) (FlipSym0 b6989586621679292506 a6989586621679292505 c6989586621679292507) #
Methods suppressUnusedWarnings :: Proxy (FlipSym0 b6989586621679292506 a6989586621679292505 c6989586621679292507) t -> () #
type Apply (TyFun a6989586621679292505 (TyFun b6989586621679292506 c6989586621679292507 -> Type) -> Type) (TyFun b6989586621679292506 (TyFun a6989586621679292505 c6989586621679292507 -> Type) -> Type) (FlipSym0 b6989586621679292506 a6989586621679292505 c6989586621679292507) l #
type Apply (TyFun a6989586621679292505 (TyFun b6989586621679292506 c6989586621679292507 -> Type) -> Type) (TyFun b6989586621679292506 (TyFun a6989586621679292505 c6989586621679292507 -> Type) -> Type) (FlipSym0 b6989586621679292506 a6989586621679292505 c6989586621679292507) l = FlipSym1 b6989586621679292506 a6989586621679292505 c6989586621679292507 l

data FlipSym1 (l :: TyFun a6989586621679292505 (TyFun b6989586621679292506 c6989586621679292507 -> Type) -> Type) (l :: TyFun b6989586621679292506 (TyFun a6989586621679292505 c6989586621679292507 -> Type)) #

Instances

SuppressUnusedWarnings ((TyFun a6989586621679292505 (TyFun b6989586621679292506 c6989586621679292507 -> Type) -> Type) -> TyFun b6989586621679292506 (TyFun a6989586621679292505 c6989586621679292507 -> Type) -> *) (FlipSym1 b6989586621679292506 a6989586621679292505 c6989586621679292507) #
Methods suppressUnusedWarnings :: Proxy (FlipSym1 b6989586621679292506 a6989586621679292505 c6989586621679292507) t -> () #
type Apply b6989586621679292506 (TyFun a6989586621679292505 c6989586621679292507 -> Type) (FlipSym1 b6989586621679292506 a6989586621679292505 c6989586621679292507 l1) l2 #
type Apply b6989586621679292506 (TyFun a6989586621679292505 c6989586621679292507 -> Type) (FlipSym1 b6989586621679292506 a6989586621679292505 c6989586621679292507 l1) l2 = FlipSym2 b6989586621679292506 a6989586621679292505 c6989586621679292507 l1 l2

data FlipSym2 (l :: TyFun a6989586621679292505 (TyFun b6989586621679292506 c6989586621679292507 -> Type) -> Type) (l :: b6989586621679292506) (l :: TyFun a6989586621679292505 c6989586621679292507) #

Instances

SuppressUnusedWarnings ((TyFun a6989586621679292505 (TyFun b6989586621679292506 c6989586621679292507 -> Type) -> Type) -> b6989586621679292506 -> TyFun a6989586621679292505 c6989586621679292507 -> *) (FlipSym2 b6989586621679292506 a6989586621679292505 c6989586621679292507) #
Methods suppressUnusedWarnings :: Proxy (FlipSym2 b6989586621679292506 a6989586621679292505 c6989586621679292507) t -> () #
type Apply a c (FlipSym2 b a c l1 l2) l3 #
type Apply a c (FlipSym2 b a c l1 l2) l3 = Flip b a c l1 l2 l3

type FlipSym3 (t :: TyFun a6989586621679292505 (TyFun b6989586621679292506 c6989586621679292507 -> Type) -> Type) (t :: b6989586621679292506) (t :: a6989586621679292505) = Flip t t t #

data AsTypeOfSym0 (l :: TyFun a6989586621679292504 (TyFun a6989586621679292504 a6989586621679292504 -> Type)) #

Instances

SuppressUnusedWarnings (TyFun a6989586621679292504 (TyFun a6989586621679292504 a6989586621679292504 -> Type) -> *) (AsTypeOfSym0 a6989586621679292504) #
Methods suppressUnusedWarnings :: Proxy (AsTypeOfSym0 a6989586621679292504) t -> () #
type Apply a6989586621679292504 (TyFun a6989586621679292504 a6989586621679292504 -> Type) (AsTypeOfSym0 a6989586621679292504) l #
type Apply a6989586621679292504 (TyFun a6989586621679292504 a6989586621679292504 -> Type) (AsTypeOfSym0 a6989586621679292504) l = AsTypeOfSym1 a6989586621679292504 l

data AsTypeOfSym1 (l :: a6989586621679292504) (l :: TyFun a6989586621679292504 a6989586621679292504) #

Instances

SuppressUnusedWarnings (a6989586621679292504 -> TyFun a6989586621679292504 a6989586621679292504 -> *) (AsTypeOfSym1 a6989586621679292504) #
Methods suppressUnusedWarnings :: Proxy (AsTypeOfSym1 a6989586621679292504) t -> () #
type Apply a a (AsTypeOfSym1 a l1) l2 #
type Apply a a (AsTypeOfSym1 a l1) l2 = AsTypeOf a l1 l2

type AsTypeOfSym2 (t :: a6989586621679292504) (t :: a6989586621679292504) = AsTypeOf t t #

data SeqSym0 (l :: TyFun a6989586621679292502 (TyFun b6989586621679292503 b6989586621679292503 -> Type)) #

Instances

SuppressUnusedWarnings (TyFun a6989586621679292502 (TyFun b6989586621679292503 b6989586621679292503 -> Type) -> *) (SeqSym0 a6989586621679292502 b6989586621679292503) #
Methods suppressUnusedWarnings :: Proxy (SeqSym0 a6989586621679292502 b6989586621679292503) t -> () #
type Apply a6989586621679292502 (TyFun b6989586621679292503 b6989586621679292503 -> Type) (SeqSym0 a6989586621679292502 b6989586621679292503) l #
type Apply a6989586621679292502 (TyFun b6989586621679292503 b6989586621679292503 -> Type) (SeqSym0 a6989586621679292502 b6989586621679292503) l = SeqSym1 a6989586621679292502 b6989586621679292503 l

data SeqSym1 (l :: a6989586621679292502) (l :: TyFun b6989586621679292503 b6989586621679292503) #

Instances

SuppressUnusedWarnings (a6989586621679292502 -> TyFun b6989586621679292503 b6989586621679292503 -> *) (SeqSym1 a6989586621679292502 b6989586621679292503) #
Methods suppressUnusedWarnings :: Proxy (SeqSym1 a6989586621679292502 b6989586621679292503) t -> () #
type Apply b b (SeqSym1 a b l1) l2 #
type Apply b b (SeqSym1 a b l1) l2 = Seq a b l1 l2

type SeqSym2 (t :: a6989586621679292502) (t :: b6989586621679292503) = Seq t t #