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 (a6989586621679144192 :: a) :: a where ...
data ConstSym0 :: (~>) a ((~>) b a)
data ConstSym1 (a6989586621679144187 :: a) :: (~>) b a
type family ConstSym2 (a6989586621679144187 :: a) (a6989586621679144188 :: b) :: a where ...
data (.@#@$) :: (~>) ((~>) b c) ((~>) ((~>) a b) ((~>) a c))
data (.@#@$$) (a6989586621679144174 :: (~>) b c) :: (~>) ((~>) a b) ((~>) a c)
data (a6989586621679144174 :: (~>) b c) .@#@$$$ (a6989586621679144175 :: (~>) a b) :: (~>) a c
type family ((a6989586621679144174 :: (~>) b c) .@#@$$$$ (a6989586621679144175 :: (~>) a b)) (a6989586621679144176 :: a) :: c where ...
data FlipSym0 :: (~>) ((~>) a ((~>) b c)) ((~>) b ((~>) a c))
data FlipSym1 (a6989586621679144162 :: (~>) a ((~>) b c)) :: (~>) b ((~>) a c)
data FlipSym2 (a6989586621679144162 :: (~>) a ((~>) b c)) (a6989586621679144163 :: b) :: (~>) a c
type family FlipSym3 (a6989586621679144162 :: (~>) a ((~>) b c)) (a6989586621679144163 :: b) (a6989586621679144164 :: a) :: c where ...
data ($@#@$) :: (~>) ((~>) a b) ((~>) a b)
data ($@#@$$) (a6989586621679144143 :: (~>) a b) :: (~>) a b
type family (a6989586621679144143 :: (~>) a b) $@#@$$$ (a6989586621679144144 :: a) :: b where ...
data (&@#@$) :: (~>) a ((~>) ((~>) a b) b)
data (&@#@$$) (a6989586621679258132 :: a) :: (~>) ((~>) a b) b
type family (a6989586621679258132 :: a) &@#@$$$ (a6989586621679258133 :: (~>) a b) :: b where ...
data OnSym0 :: (~>) ((~>) b ((~>) b c)) ((~>) ((~>) a b) ((~>) a ((~>) a c)))
data OnSym1 (a6989586621679258145 :: (~>) b ((~>) b c)) :: (~>) ((~>) a b) ((~>) a ((~>) a c))
data OnSym2 (a6989586621679258145 :: (~>) b ((~>) b c)) (a6989586621679258146 :: (~>) a b) :: (~>) a ((~>) a c)
data OnSym3 (a6989586621679258145 :: (~>) b ((~>) b c)) (a6989586621679258146 :: (~>) a b) (a6989586621679258147 :: a) :: (~>) a c
type family OnSym4 (a6989586621679258145 :: (~>) b ((~>) b c)) (a6989586621679258146 :: (~>) a b) (a6989586621679258147 :: a) (a6989586621679258148 :: 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_6989586621679144168 = Apply (Apply (Apply (Apply Lambda_6989586621679144180Sym0 f) g) a_6989586621679144168) a_6989586621679144168

(%.) :: 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_6989586621679258136 a_6989586621679258138 = Apply (Apply (Apply (Apply (Apply (Apply Lambda_6989586621679258153Sym0 ty) f) a_6989586621679258136) a_6989586621679258138) a_6989586621679258136) a_6989586621679258138

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 #
SuppressUnusedWarnings (IdSym0 :: TyFun a a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (IdSym0 :: TyFun a a -> Type) (a6989586621679144192 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (IdSym0 :: TyFun a a -> Type) (a6989586621679144192 :: a) = Id a6989586621679144192

type family IdSym1 (a6989586621679144192 :: a) :: a where ... Source #

Equations

IdSym1 a6989586621679144192 = Id a6989586621679144192

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 #
SuppressUnusedWarnings (ConstSym0 :: TyFun a (b ~> a) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ConstSym0 :: TyFun a (b ~> a) -> Type) (a6989586621679144187 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (ConstSym0 :: TyFun a (b ~> a) -> Type) (a6989586621679144187 :: a) = ConstSym1 a6989586621679144187 :: TyFun b a -> Type

data ConstSym1 (a6989586621679144187 :: 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) #
SingI d => SingI (ConstSym1 d :: TyFun b a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (ConstSym1 d) #
SuppressUnusedWarnings (ConstSym1 a6989586621679144187 :: TyFun b a -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (ConstSym1 a6989586621679144187 :: TyFun b a -> Type) (a6989586621679144188 :: b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (ConstSym1 a6989586621679144187 :: TyFun b a -> Type) (a6989586621679144188 :: b) = Const a6989586621679144187 a6989586621679144188

type family ConstSym2 (a6989586621679144187 :: a) (a6989586621679144188 :: b) :: a where ... Source #

Equations

ConstSym2 a6989586621679144187 a6989586621679144188 = Const a6989586621679144187 a6989586621679144188

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

Instances

Instances details

SingI ((.@#@$) :: TyFun (b ~> c) ((a ~> b) ~> (a ~> c)) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (.@#@$) #
SuppressUnusedWarnings ((.@#@$) :: TyFun (b ~> c) ((a ~> b) ~> (a ~> c)) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((.@#@$) :: TyFun (b ~> c) ((a ~> b) ~> (a ~> c)) -> Type) (a6989586621679144174 :: b ~> c) Source #
Instance details Defined in GHC.Base.Singletons type Apply ((.@#@$) :: TyFun (b ~> c) ((a ~> b) ~> (a ~> c)) -> Type) (a6989586621679144174 :: b ~> c) = (.@#@$$) a6989586621679144174 :: TyFun (a ~> b) (a ~> c) -> Type

data (.@#@$$) (a6989586621679144174 :: (~>) 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) #
SingI d => SingI ((.@#@$$) d :: TyFun (a ~> b) (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing ((.@#@$$) d) #
SuppressUnusedWarnings ((.@#@$$) a6989586621679144174 :: TyFun (a ~> b) (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((.@#@$$) a6989586621679144174 :: TyFun (a ~> b) (a ~> c) -> Type) (a6989586621679144175 :: a ~> b) Source #
Instance details Defined in GHC.Base.Singletons type Apply ((.@#@$$) a6989586621679144174 :: TyFun (a ~> b) (a ~> c) -> Type) (a6989586621679144175 :: a ~> b) = a6989586621679144174 .@#@$$$ a6989586621679144175

data (a6989586621679144174 :: (~>) b c) .@#@$$$ (a6989586621679144175 :: (~>) 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) #
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) #
(SingI d1, SingI d2) => SingI (d1 .@#@$$$ d2 :: TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (d1 .@#@$$$ d2) #
SuppressUnusedWarnings (a6989586621679144174 .@#@$$$ a6989586621679144175 :: TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (a6989586621679144174 .@#@$$$ a6989586621679144175 :: TyFun a c -> Type) (a6989586621679144176 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (a6989586621679144174 .@#@$$$ a6989586621679144175 :: TyFun a c -> Type) (a6989586621679144176 :: a) = (a6989586621679144174 . a6989586621679144175) a6989586621679144176

type family ((a6989586621679144174 :: (~>) b c) .@#@$$$$ (a6989586621679144175 :: (~>) a b)) (a6989586621679144176 :: a) :: c where ... infixr 9 Source #

Equations

(a6989586621679144174 .@#@$$$$ a6989586621679144175) a6989586621679144176 = (.) a6989586621679144174 a6989586621679144175 a6989586621679144176

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 #
SuppressUnusedWarnings (FlipSym0 :: TyFun (a ~> (b ~> c)) (b ~> (a ~> c)) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FlipSym0 :: TyFun (a ~> (b ~> c)) (b ~> (a ~> c)) -> Type) (a6989586621679144162 :: a ~> (b ~> c)) Source #
Instance details Defined in GHC.Base.Singletons type Apply (FlipSym0 :: TyFun (a ~> (b ~> c)) (b ~> (a ~> c)) -> Type) (a6989586621679144162 :: a ~> (b ~> c)) = FlipSym1 a6989586621679144162

data FlipSym1 (a6989586621679144162 :: (~>) 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) #
SingI d => SingI (FlipSym1 d :: TyFun b (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (FlipSym1 d) #
SuppressUnusedWarnings (FlipSym1 a6989586621679144162 :: TyFun b (a ~> c) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FlipSym1 a6989586621679144162 :: TyFun b (a ~> c) -> Type) (a6989586621679144163 :: b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (FlipSym1 a6989586621679144162 :: TyFun b (a ~> c) -> Type) (a6989586621679144163 :: b) = FlipSym2 a6989586621679144162 a6989586621679144163

data FlipSym2 (a6989586621679144162 :: (~>) a ((~>) b c)) (a6989586621679144163 :: 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) #
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) #
(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) #
SuppressUnusedWarnings (FlipSym2 a6989586621679144162 a6989586621679144163 :: TyFun a c -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (FlipSym2 a6989586621679144162 a6989586621679144163 :: TyFun a c -> Type) (a6989586621679144164 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (FlipSym2 a6989586621679144162 a6989586621679144163 :: TyFun a c -> Type) (a6989586621679144164 :: a) = Flip a6989586621679144162 a6989586621679144163 a6989586621679144164

type family FlipSym3 (a6989586621679144162 :: (~>) a ((~>) b c)) (a6989586621679144163 :: b) (a6989586621679144164 :: a) :: c where ... Source #

Equations

FlipSym3 a6989586621679144162 a6989586621679144163 a6989586621679144164 = Flip a6989586621679144162 a6989586621679144163 a6989586621679144164

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 ($@#@$) #
SuppressUnusedWarnings (($@#@$) :: TyFun (a ~> b) (a ~> b) -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (($@#@$) :: TyFun (a ~> b) (a ~> b) -> Type) (a6989586621679144143 :: a ~> b) Source #
Instance details Defined in GHC.Base.Singletons type Apply (($@#@$) :: TyFun (a ~> b) (a ~> b) -> Type) (a6989586621679144143 :: a ~> b) = ($@#@$$) a6989586621679144143

data ($@#@$$) (a6989586621679144143 :: (~>) 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) #
SingI d => SingI (($@#@$$) d :: TyFun a b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods sing :: Sing (($@#@$$) d) #
SuppressUnusedWarnings (($@#@$$) a6989586621679144143 :: TyFun a b -> Type) Source #
Instance details Defined in GHC.Base.Singletons Methods suppressUnusedWarnings :: () #
type Apply (($@#@$$) a6989586621679144143 :: TyFun a b -> Type) (a6989586621679144144 :: a) Source #
Instance details Defined in GHC.Base.Singletons type Apply (($@#@$$) a6989586621679144143 :: TyFun a b -> Type) (a6989586621679144144 :: a) = a6989586621679144143 $ a6989586621679144144

type family (a6989586621679144143 :: (~>) a b) $@#@$$$ (a6989586621679144144 :: a) :: b where ... infixr 0 Source #

Equations

a6989586621679144143 $@#@$$$ a6989586621679144144 = ($) a6989586621679144143 a6989586621679144144

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

Instances

Instances details

SingI ((&@#@$) :: TyFun a ((a ~> b) ~> b) -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods sing :: Sing (&@#@$) #
SuppressUnusedWarnings ((&@#@$) :: TyFun a ((a ~> b) ~> b) -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((&@#@$) :: TyFun a ((a ~> b) ~> b) -> Type) (a6989586621679258132 :: a) Source #
Instance details Defined in Data.Function.Singletons type Apply ((&@#@$) :: TyFun a ((a ~> b) ~> b) -> Type) (a6989586621679258132 :: a) = (&@#@$$) a6989586621679258132 :: TyFun (a ~> b) b -> Type

data (&@#@$$) (a6989586621679258132 :: 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) #
SingI d => SingI ((&@#@$$) d :: TyFun (a ~> b) b -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods sing :: Sing ((&@#@$$) d) #
SuppressUnusedWarnings ((&@#@$$) a6989586621679258132 :: TyFun (a ~> b) b -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods suppressUnusedWarnings :: () #
type Apply ((&@#@$$) a6989586621679258132 :: TyFun (a ~> b) b -> Type) (a6989586621679258133 :: a ~> b) Source #
Instance details Defined in Data.Function.Singletons type Apply ((&@#@$$) a6989586621679258132 :: TyFun (a ~> b) b -> Type) (a6989586621679258133 :: a ~> b) = a6989586621679258132 & a6989586621679258133

type family (a6989586621679258132 :: a) &@#@$$$ (a6989586621679258133 :: (~>) a b) :: b where ... infixl 1 Source #

Equations

a6989586621679258132 &@#@$$$ a6989586621679258133 = (&) a6989586621679258132 a6989586621679258133

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 #
SuppressUnusedWarnings (OnSym0 :: TyFun (b ~> (b ~> c)) ((a ~> b) ~> (a ~> (a ~> c))) -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods suppressUnusedWarnings :: () #
type Apply (OnSym0 :: TyFun (b ~> (b ~> c)) ((a ~> b) ~> (a ~> (a ~> c))) -> Type) (a6989586621679258145 :: b ~> (b ~> c)) Source #
Instance details Defined in Data.Function.Singletons type Apply (OnSym0 :: TyFun (b ~> (b ~> c)) ((a ~> b) ~> (a ~> (a ~> c))) -> Type) (a6989586621679258145 :: b ~> (b ~> c)) = OnSym1 a6989586621679258145 :: TyFun (a ~> b) (a ~> (a ~> c)) -> Type

data OnSym1 (a6989586621679258145 :: (~>) 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) #
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) #
SuppressUnusedWarnings (OnSym1 a6989586621679258145 :: TyFun (a ~> b) (a ~> (a ~> c)) -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods suppressUnusedWarnings :: () #
type Apply (OnSym1 a6989586621679258145 :: TyFun (a ~> b) (a ~> (a ~> c)) -> Type) (a6989586621679258146 :: a ~> b) Source #
Instance details Defined in Data.Function.Singletons type Apply (OnSym1 a6989586621679258145 :: TyFun (a ~> b) (a ~> (a ~> c)) -> Type) (a6989586621679258146 :: a ~> b) = OnSym2 a6989586621679258145 a6989586621679258146

data OnSym2 (a6989586621679258145 :: (~>) b ((~>) b c)) (a6989586621679258146 :: (~>) 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) #
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) #
(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) #
SuppressUnusedWarnings (OnSym2 a6989586621679258145 a6989586621679258146 :: TyFun a (a ~> c) -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods suppressUnusedWarnings :: () #
type Apply (OnSym2 a6989586621679258145 a6989586621679258146 :: TyFun a (a ~> c) -> Type) (a6989586621679258147 :: a) Source #
Instance details Defined in Data.Function.Singletons type Apply (OnSym2 a6989586621679258145 a6989586621679258146 :: TyFun a (a ~> c) -> Type) (a6989586621679258147 :: a) = OnSym3 a6989586621679258145 a6989586621679258146 a6989586621679258147

data OnSym3 (a6989586621679258145 :: (~>) b ((~>) b c)) (a6989586621679258146 :: (~>) a b) (a6989586621679258147 :: 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) #
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) #
(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) #
SuppressUnusedWarnings (OnSym3 a6989586621679258145 a6989586621679258146 a6989586621679258147 :: TyFun a c -> Type) Source #
Instance details Defined in Data.Function.Singletons Methods suppressUnusedWarnings :: () #
type Apply (OnSym3 a6989586621679258145 a6989586621679258146 a6989586621679258147 :: TyFun a c -> Type) (a6989586621679258148 :: a) Source #
Instance details Defined in Data.Function.Singletons type Apply (OnSym3 a6989586621679258145 a6989586621679258146 a6989586621679258147 :: TyFun a c -> Type) (a6989586621679258148 :: a) = On a6989586621679258145 a6989586621679258146 a6989586621679258147 a6989586621679258148

type family OnSym4 (a6989586621679258145 :: (~>) b ((~>) b c)) (a6989586621679258146 :: (~>) a b) (a6989586621679258147 :: a) (a6989586621679258148 :: a) :: c where ... infixl 0 Source #

Equations

OnSym4 a6989586621679258145 a6989586621679258146 a6989586621679258147 a6989586621679258148 = On a6989586621679258145 a6989586621679258146 a6989586621679258147 a6989586621679258148