Copyright	(C) 2016 Richard Eisenberg
License	BSD-style (see LICENSE)
Maintainer	Ryan Scott
Stability	experimental
Portability	non-portable
Safe Haskell	Safe-Inferred
Language	GHC2021

Data.Function.Singletons

Contents

Prelude re-exports
Other combinators
Defunctionalization symbols

Description

Defines singleton versions of the definitions in Data.Function.

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

Synopsis

type family Id (a :: a) :: a where ...
sId :: forall (t :: a). Sing t -> Sing (Apply IdSym0 t :: a) :: Type
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
type family ((a :: (~>) b c) . (a :: (~>) a b)) (a :: a) :: c where ...
(%.) :: forall (t :: (~>) b c) (t :: (~>) a b) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply (.@#@$) t) t) t :: c) :: Type
type family Flip (a :: (~>) a ((~>) b c)) (a :: b) (a :: a) :: c where ...
sFlip :: forall (t :: (~>) a ((~>) b c)) (t :: b) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FlipSym0 t) t) t :: c) :: Type
type family (a :: (~>) a b) $ (a :: a) :: b where ...
(%$) :: forall (t :: (~>) a b) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply ($@#@$) t) t :: b) :: Type
type family (a :: a) & (a :: (~>) a b) :: b where ...
(%&) :: forall (t :: a) (t :: (~>) a b). Sing t -> Sing t -> Sing (Apply (Apply (&@#@$) t) t :: b) :: Type
type family On (a :: (~>) b ((~>) b c)) (a :: (~>) a b) (a :: a) (a :: a) :: c where ...
sOn :: forall (t :: (~>) b ((~>) b c)) (t :: (~>) a b) (t :: a) (t :: a). Sing t -> Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply (Apply OnSym0 t) t) t) t :: c) :: Type
data IdSym0 :: (~>) a a
type family IdSym1 (a6989586621679188450 :: a) :: a where ...
data ConstSym0 :: (~>) a ((~>) b a)
data ConstSym1 (a6989586621679188445 :: a) :: (~>) b a
type family ConstSym2 (a6989586621679188445 :: a) (a6989586621679188446 :: b) :: a where ...
data (.@#@$) :: (~>) ((~>) b c) ((~>) ((~>) a b) ((~>) a c))
data (.@#@$$) (a6989586621679188432 :: (~>) b c) :: (~>) ((~>) a b) ((~>) a c)
data (a6989586621679188432 :: (~>) b c) .@#@$$$ (a6989586621679188433 :: (~>) a b) :: (~>) a c
type family ((a6989586621679188432 :: (~>) b c) .@#@$$$$ (a6989586621679188433 :: (~>) a b)) (a6989586621679188434 :: a) :: c where ...
data FlipSym0 :: (~>) ((~>) a ((~>) b c)) ((~>) b ((~>) a c))
data FlipSym1 (a6989586621679188420 :: (~>) a ((~>) b c)) :: (~>) b ((~>) a c)
data FlipSym2 (a6989586621679188420 :: (~>) a ((~>) b c)) (a6989586621679188421 :: b) :: (~>) a c
type family FlipSym3 (a6989586621679188420 :: (~>) a ((~>) b c)) (a6989586621679188421 :: b) (a6989586621679188422 :: a) :: c where ...
data ($@#@$) :: (~>) ((~>) a b) ((~>) a b)
data ($@#@$$) (a6989586621679188401 :: (~>) a b) :: (~>) a b
type family (a6989586621679188401 :: (~>) a b) $@#@$$$ (a6989586621679188402 :: a) :: b where ...
data (&@#@$) :: (~>) a ((~>) ((~>) a b) b)
data (&@#@$$) (a6989586621679340177 :: a) :: (~>) ((~>) a b) b
type family (a6989586621679340177 :: a) &@#@$$$ (a6989586621679340178 :: (~>) a b) :: b where ...
data OnSym0 :: (~>) ((~>) b ((~>) b c)) ((~>) ((~>) a b) ((~>) a ((~>) a c)))
data OnSym1 (a6989586621679340190 :: (~>) b ((~>) b c)) :: (~>) ((~>) a b) ((~>) a ((~>) a c))
data OnSym2 (a6989586621679340190 :: (~>) b ((~>) b c)) (a6989586621679340191 :: (~>) a b) :: (~>) a ((~>) a c)
data OnSym3 (a6989586621679340190 :: (~>) b ((~>) b c)) (a6989586621679340191 :: (~>) a b) (a6989586621679340192 :: a) :: (~>) a c
type family OnSym4 (a6989586621679340190 :: (~>) b ((~>) b c)) (a6989586621679340191 :: (~>) a b) (a6989586621679340192 :: a) (a6989586621679340193 :: a) :: c where ...

Prelude re-exports

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

Equations

Id x = x

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

type family ((a :: (~>) b c) . (a :: (~>) a b)) (a :: a) :: c where ... infixr 9 Source #

Equations

(f . g) a_6989586621679188426 = Apply (Apply (Apply (Apply Lambda_6989586621679188438Sym0 f) g) a_6989586621679188426) a_6989586621679188426

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

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

Equations

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

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

type family (a :: (~>) a b) $ (a :: a) :: b where ... infixr 0 Source #

Equations

f $ x = Apply f x

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

Other combinators

type family (a :: a) & (a :: (~>) a b) :: b where ... infixl 1 Source #

Equations

x & f = Apply f x

(%&) :: forall (t :: a) (t :: (~>) a b). Sing t -> Sing t -> Sing (Apply (Apply (&@#@$) t) t :: b) :: Type infixl 1 Source #

type family On (a :: (~>) b ((~>) b c)) (a :: (~>) a b) (a :: a) (a :: a) :: c where ... infixl 0 Source #

Equations

On ty f a_6989586621679340181 a_6989586621679340183 = Apply (Apply (Apply (Apply (Apply (Apply Lambda_6989586621679340198Sym0 ty) f) a_6989586621679340181) a_6989586621679340183) a_6989586621679340181) a_6989586621679340183

sOn :: forall (t :: (~>) b ((~>) b c)) (t :: (~>) a b) (t :: a) (t :: a). Sing t -> Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply (Apply OnSym0 t) t) t) t :: c) :: Type infixl 0 Source #

Defunctionalization symbols

data IdSym0 :: (~>) a a Source #

Instances

Instances details

SingI (IdSym0 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing IdSym0 Source #
SuppressUnusedWarnings (IdSym0 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply (IdSym0 :: TyFun a a -> Type) (a6989586621679188450 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (IdSym0 :: TyFun a a -> Type) (a6989586621679188450 :: a) = Id a6989586621679188450

type family IdSym1 (a6989586621679188450 :: a) :: a where ... Source #

Equations

IdSym1 a6989586621679188450 = Id a6989586621679188450

data ConstSym0 :: (~>) a ((~>) b a) Source #

Instances

Instances details

SingI (ConstSym0 :: TyFun a (b ~> a) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing ConstSym0 Source #
SuppressUnusedWarnings (ConstSym0 :: TyFun a (b ~> a) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply (ConstSym0 :: TyFun a (b ~> a) -> Type) (a6989586621679188445 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (ConstSym0 :: TyFun a (b ~> a) -> Type) (a6989586621679188445 :: a) = ConstSym1 a6989586621679188445 :: TyFun b a -> Type

data ConstSym1 (a6989586621679188445 :: a) :: (~>) b a Source #

Instances

Instances details

SingI1 (ConstSym1 :: a -> TyFun b a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (ConstSym1 x) Source #
SingI d => SingI (ConstSym1 d :: TyFun b a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (ConstSym1 d) Source #
SuppressUnusedWarnings (ConstSym1 a6989586621679188445 :: TyFun b a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply (ConstSym1 a6989586621679188445 :: TyFun b a -> Type) (a6989586621679188446 :: b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (ConstSym1 a6989586621679188445 :: TyFun b a -> Type) (a6989586621679188446 :: b) = Const a6989586621679188445 a6989586621679188446

type family ConstSym2 (a6989586621679188445 :: a) (a6989586621679188446 :: b) :: a where ... Source #

Equations

ConstSym2 a6989586621679188445 a6989586621679188446 = Const a6989586621679188445 a6989586621679188446

data (.@#@$) :: (~>) ((~>) b c) ((~>) ((~>) a b) ((~>) a c)) infixr 9 Source #

Instances

Instances details

SingI ((.@#@$) :: TyFun (b ~> c) ((a ~> b) ~> (a ~> c)) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (.@#@$) Source #
SuppressUnusedWarnings ((.@#@$) :: TyFun (b ~> c) ((a ~> b) ~> (a ~> c)) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply ((.@#@$) :: TyFun (b ~> c) ((a ~> b) ~> (a ~> c)) -> Type) (a6989586621679188432 :: b ~> c) Source #
Instance details Defined in GHC.Base.Singletons type Apply ((.@#@$) :: TyFun (b ~> c) ((a ~> b) ~> (a ~> c)) -> Type) (a6989586621679188432 :: b ~> c) = (.@#@$$) a6989586621679188432 :: TyFun (a ~> b) (a ~> c) -> Type

data (.@#@$$) (a6989586621679188432 :: (~>) b c) :: (~>) ((~>) a b) ((~>) a c) infixr 9 Source #

Instances

Instances details

SingI1 ((.@#@$$) :: (b ~> c) -> TyFun (a ~> b) (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing ((.@#@$$) x) Source #
SingI d => SingI ((.@#@$$) d :: TyFun (a ~> b) (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing ((.@#@$$) d) Source #
SuppressUnusedWarnings ((.@#@$$) a6989586621679188432 :: TyFun (a ~> b) (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply ((.@#@$$) a6989586621679188432 :: TyFun (a ~> b) (a ~> c) -> Type) (a6989586621679188433 :: a ~> b) Source #
Instance details Defined in GHC.Base.Singletons type Apply ((.@#@$$) a6989586621679188432 :: TyFun (a ~> b) (a ~> c) -> Type) (a6989586621679188433 :: a ~> b) = a6989586621679188432 .@#@$$$ a6989586621679188433

data (a6989586621679188432 :: (~>) b c) .@#@$$$ (a6989586621679188433 :: (~>) a b) :: (~>) a c infixr 9 Source #

Instances

Instances details

SingI2 ((.@#@$$$) :: (b ~> c) -> (a ~> b) -> TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (x .@#@$$$ y) Source #
SingI d => SingI1 ((.@#@$$$) d :: (a ~> b) -> TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (d .@#@$$$ x) Source #
(SingI d1, SingI d2) => SingI (d1 .@#@$$$ d2 :: TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (d1 .@#@$$$ d2) Source #
SuppressUnusedWarnings (a6989586621679188432 .@#@$$$ a6989586621679188433 :: TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply (a6989586621679188432 .@#@$$$ a6989586621679188433 :: TyFun a c -> Type) (a6989586621679188434 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (a6989586621679188432 .@#@$$$ a6989586621679188433 :: TyFun a c -> Type) (a6989586621679188434 :: a) = (a6989586621679188432 . a6989586621679188433) a6989586621679188434

type family ((a6989586621679188432 :: (~>) b c) .@#@$$$$ (a6989586621679188433 :: (~>) a b)) (a6989586621679188434 :: a) :: c where ... infixr 9 Source #

Equations

(a6989586621679188432 .@#@$$$$ a6989586621679188433) a6989586621679188434 = (.) a6989586621679188432 a6989586621679188433 a6989586621679188434

data FlipSym0 :: (~>) ((~>) a ((~>) b c)) ((~>) b ((~>) a c)) Source #

Instances

Instances details

SingI (FlipSym0 :: TyFun (a ~> (b ~> c)) (b ~> (a ~> c)) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing FlipSym0 Source #
SuppressUnusedWarnings (FlipSym0 :: TyFun (a ~> (b ~> c)) (b ~> (a ~> c)) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply (FlipSym0 :: TyFun (a ~> (b ~> c)) (b ~> (a ~> c)) -> Type) (a6989586621679188420 :: a ~> (b ~> c)) Source #
Instance details Defined in GHC.Base.Singletons type Apply (FlipSym0 :: TyFun (a ~> (b ~> c)) (b ~> (a ~> c)) -> Type) (a6989586621679188420 :: a ~> (b ~> c)) = FlipSym1 a6989586621679188420

data FlipSym1 (a6989586621679188420 :: (~>) a ((~>) b c)) :: (~>) b ((~>) a c) Source #

Instances

Instances details

SingI1 (FlipSym1 :: (a ~> (b ~> c)) -> TyFun b (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (FlipSym1 x) Source #
SingI d => SingI (FlipSym1 d :: TyFun b (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (FlipSym1 d) Source #
SuppressUnusedWarnings (FlipSym1 a6989586621679188420 :: TyFun b (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply (FlipSym1 a6989586621679188420 :: TyFun b (a ~> c) -> Type) (a6989586621679188421 :: b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (FlipSym1 a6989586621679188420 :: TyFun b (a ~> c) -> Type) (a6989586621679188421 :: b) = FlipSym2 a6989586621679188420 a6989586621679188421

data FlipSym2 (a6989586621679188420 :: (~>) a ((~>) b c)) (a6989586621679188421 :: b) :: (~>) a c Source #

Instances

Instances details

SingI d => SingI1 (FlipSym2 d :: b -> TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (FlipSym2 d x) Source #
SingI2 (FlipSym2 :: (a ~> (b ~> c)) -> b -> TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (FlipSym2 x y) Source #
(SingI d1, SingI d2) => SingI (FlipSym2 d1 d2 :: TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (FlipSym2 d1 d2) Source #
SuppressUnusedWarnings (FlipSym2 a6989586621679188420 a6989586621679188421 :: TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply (FlipSym2 a6989586621679188420 a6989586621679188421 :: TyFun a c -> Type) (a6989586621679188422 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (FlipSym2 a6989586621679188420 a6989586621679188421 :: TyFun a c -> Type) (a6989586621679188422 :: a) = Flip a6989586621679188420 a6989586621679188421 a6989586621679188422

type family FlipSym3 (a6989586621679188420 :: (~>) a ((~>) b c)) (a6989586621679188421 :: b) (a6989586621679188422 :: a) :: c where ... Source #

Equations

FlipSym3 a6989586621679188420 a6989586621679188421 a6989586621679188422 = Flip a6989586621679188420 a6989586621679188421 a6989586621679188422

data ($@#@$) :: (~>) ((~>) a b) ((~>) a b) infixr 0 Source #

Instances

Instances details

SingI (($@#@$) :: TyFun (a ~> b) (a ~> b) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing ($@#@$) Source #
SuppressUnusedWarnings (($@#@$) :: TyFun (a ~> b) (a ~> b) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply (($@#@$) :: TyFun (a ~> b) (a ~> b) -> Type) (a6989586621679188401 :: a ~> b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (($@#@$) :: TyFun (a ~> b) (a ~> b) -> Type) (a6989586621679188401 :: a ~> b) = ($@#@$$) a6989586621679188401

data ($@#@$$) (a6989586621679188401 :: (~>) a b) :: (~>) a b infixr 0 Source #

Instances

Instances details

SingI1 (($@#@$$) :: (a ~> b) -> TyFun a b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (($@#@$$) x) Source #
SingI d => SingI (($@#@$$) d :: TyFun a b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (($@#@$$) d) Source #
SuppressUnusedWarnings (($@#@$$) a6989586621679188401 :: TyFun a b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply (($@#@$$) a6989586621679188401 :: TyFun a b -> Type) (a6989586621679188402 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (($@#@$$) a6989586621679188401 :: TyFun a b -> Type) (a6989586621679188402 :: a) = a6989586621679188401 $ a6989586621679188402

type family (a6989586621679188401 :: (~>) a b) $@#@$$$ (a6989586621679188402 :: a) :: b where ... infixr 0 Source #

Equations

a6989586621679188401 $@#@$$$ a6989586621679188402 = ($) a6989586621679188401 a6989586621679188402

data (&@#@$) :: (~>) a ((~>) ((~>) a b) b) infixl 1 Source #

Instances

Instances details

SingI ((&@#@$) :: TyFun a ((a ~> b) ~> b) -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods sing :: Sing (&@#@$) Source #
SuppressUnusedWarnings ((&@#@$) :: TyFun a ((a ~> b) ~> b) -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply ((&@#@$) :: TyFun a ((a ~> b) ~> b) -> Type) (a6989586621679340177 :: a) Source #
Instance details Defined in Data.Function.Singletons type Apply ((&@#@$) :: TyFun a ((a ~> b) ~> b) -> Type) (a6989586621679340177 :: a) = (&@#@$$) a6989586621679340177 :: TyFun (a ~> b) b -> Type

data (&@#@$$) (a6989586621679340177 :: a) :: (~>) ((~>) a b) b infixl 1 Source #

Instances

Instances details

SingI1 ((&@#@$$) :: a -> TyFun (a ~> b) b -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing ((&@#@$$) x) Source #
SingI d => SingI ((&@#@$$) d :: TyFun (a ~> b) b -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods sing :: Sing ((&@#@$$) d) Source #
SuppressUnusedWarnings ((&@#@$$) a6989586621679340177 :: TyFun (a ~> b) b -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply ((&@#@$$) a6989586621679340177 :: TyFun (a ~> b) b -> Type) (a6989586621679340178 :: a ~> b) Source #
Instance details Defined in Data.Function.Singletons type Apply ((&@#@$$) a6989586621679340177 :: TyFun (a ~> b) b -> Type) (a6989586621679340178 :: a ~> b) = a6989586621679340177 & a6989586621679340178

type family (a6989586621679340177 :: a) &@#@$$$ (a6989586621679340178 :: (~>) a b) :: b where ... infixl 1 Source #

Equations

a6989586621679340177 &@#@$$$ a6989586621679340178 = (&) a6989586621679340177 a6989586621679340178

data OnSym0 :: (~>) ((~>) b ((~>) b c)) ((~>) ((~>) a b) ((~>) a ((~>) a c))) infixl 0 Source #

Instances

Instances details

SingI (OnSym0 :: TyFun (b ~> (b ~> c)) ((a ~> b) ~> (a ~> (a ~> c))) -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods sing :: Sing OnSym0 Source #
SuppressUnusedWarnings (OnSym0 :: TyFun (b ~> (b ~> c)) ((a ~> b) ~> (a ~> (a ~> c))) -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply (OnSym0 :: TyFun (b ~> (b ~> c)) ((a ~> b) ~> (a ~> (a ~> c))) -> Type) (a6989586621679340190 :: b ~> (b ~> c)) Source #
Instance details Defined in Data.Function.Singletons type Apply (OnSym0 :: TyFun (b ~> (b ~> c)) ((a ~> b) ~> (a ~> (a ~> c))) -> Type) (a6989586621679340190 :: b ~> (b ~> c)) = OnSym1 a6989586621679340190 :: TyFun (a ~> b) (a ~> (a ~> c)) -> Type

data OnSym1 (a6989586621679340190 :: (~>) b ((~>) b c)) :: (~>) ((~>) a b) ((~>) a ((~>) a c)) infixl 0 Source #

Instances

Instances details

SingI1 (OnSym1 :: (b ~> (b ~> c)) -> TyFun (a ~> b) (a ~> (a ~> c)) -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (OnSym1 x) Source #
SingI d => SingI (OnSym1 d :: TyFun (a ~> b) (a ~> (a ~> c)) -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods sing :: Sing (OnSym1 d) Source #
SuppressUnusedWarnings (OnSym1 a6989586621679340190 :: TyFun (a ~> b) (a ~> (a ~> c)) -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply (OnSym1 a6989586621679340190 :: TyFun (a ~> b) (a ~> (a ~> c)) -> Type) (a6989586621679340191 :: a ~> b) Source #
Instance details Defined in Data.Function.Singletons type Apply (OnSym1 a6989586621679340190 :: TyFun (a ~> b) (a ~> (a ~> c)) -> Type) (a6989586621679340191 :: a ~> b) = OnSym2 a6989586621679340190 a6989586621679340191

data OnSym2 (a6989586621679340190 :: (~>) b ((~>) b c)) (a6989586621679340191 :: (~>) a b) :: (~>) a ((~>) a c) infixl 0 Source #

Instances

Instances details

SingI2 (OnSym2 :: (b ~> (b ~> c)) -> (a ~> b) -> TyFun a (a ~> c) -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (OnSym2 x y) Source #
SingI d => SingI1 (OnSym2 d :: (a ~> b) -> TyFun a (a ~> c) -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (OnSym2 d x) Source #
(SingI d1, SingI d2) => SingI (OnSym2 d1 d2 :: TyFun a (a ~> c) -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods sing :: Sing (OnSym2 d1 d2) Source #
SuppressUnusedWarnings (OnSym2 a6989586621679340190 a6989586621679340191 :: TyFun a (a ~> c) -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply (OnSym2 a6989586621679340190 a6989586621679340191 :: TyFun a (a ~> c) -> Type) (a6989586621679340192 :: a) Source #
Instance details Defined in Data.Function.Singletons type Apply (OnSym2 a6989586621679340190 a6989586621679340191 :: TyFun a (a ~> c) -> Type) (a6989586621679340192 :: a) = OnSym3 a6989586621679340190 a6989586621679340191 a6989586621679340192

data OnSym3 (a6989586621679340190 :: (~>) b ((~>) b c)) (a6989586621679340191 :: (~>) a b) (a6989586621679340192 :: a) :: (~>) a c infixl 0 Source #

Instances

Instances details

(SingI d1, SingI d2) => SingI1 (OnSym3 d1 d2 :: a -> TyFun a c -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (OnSym3 d1 d2 x) Source #
SingI d => SingI2 (OnSym3 d :: (a ~> b) -> a -> TyFun a c -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (OnSym3 d x y) Source #
(SingI d1, SingI d2, SingI d3) => SingI (OnSym3 d1 d2 d3 :: TyFun a c -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods sing :: Sing (OnSym3 d1 d2 d3) Source #
SuppressUnusedWarnings (OnSym3 a6989586621679340190 a6989586621679340191 a6989586621679340192 :: TyFun a c -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply (OnSym3 a6989586621679340190 a6989586621679340191 a6989586621679340192 :: TyFun a c -> Type) (a6989586621679340193 :: a) Source #
Instance details Defined in Data.Function.Singletons type Apply (OnSym3 a6989586621679340190 a6989586621679340191 a6989586621679340192 :: TyFun a c -> Type) (a6989586621679340193 :: a) = On a6989586621679340190 a6989586621679340191 a6989586621679340192 a6989586621679340193

type family OnSym4 (a6989586621679340190 :: (~>) b ((~>) b c)) (a6989586621679340191 :: (~>) a b) (a6989586621679340192 :: a) (a6989586621679340193 :: a) :: c where ... infixl 0 Source #

Equations

OnSym4 a6989586621679340190 a6989586621679340191 a6989586621679340192 a6989586621679340193 = On a6989586621679340190 a6989586621679340191 a6989586621679340192 a6989586621679340193