Copyright	(C) 2018 Ryan Scott
License	BSD-style (see LICENSE)
Maintainer	Ryan Scott
Stability	experimental
Portability	non-portable
Safe Haskell	None
Language	Haskell2010

Data.Singletons.Prelude.Functor

Contents

Defunctionalization symbols
Orphan instances

Description

Defines the promoted and singled versions of the Functor type class.

Synopsis

class PFunctor (f :: Type -> Type) where
- type Fmap (arg :: (~>) a b) (arg :: f a) :: f b
- type (arg :: a) <$ (arg :: f b) :: f a
class SFunctor (f :: Type -> Type) where
- sFmap :: forall a b (t :: (~>) a b) (t :: f a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t :: f b)
- (%<$) :: forall a b (t :: a) (t :: f b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t :: f a)
type family (a :: f a) $> (a :: b) :: f b where ...
(%$>) :: forall f a b (t :: f a) (t :: b). SFunctor f => Sing t -> Sing t -> Sing (Apply (Apply ($>@#@$) t) t :: f b)
type family (a :: (~>) a b) <$> (a :: f a) :: f b where ...
(%<$>) :: forall f a b (t :: (~>) a b) (t :: f a). SFunctor f => Sing t -> Sing t -> Sing (Apply (Apply (<$>@#@$) t) t :: f b)
type family (a :: f a) <&> (a :: (~>) a b) :: f b where ...
(%<&>) :: forall f a b (t :: f a) (t :: (~>) a b). SFunctor f => Sing t -> Sing t -> Sing (Apply (Apply (<&>@#@$) t) t :: f b)
type family Void (a :: f a) :: f () where ...
sVoid :: forall f a (t :: f a). SFunctor f => Sing t -> Sing (Apply VoidSym0 t :: f ())
data FmapSym0 :: forall a6989586621679545962 b6989586621679545963 f6989586621679545961. (~>) ((~>) a6989586621679545962 b6989586621679545963) ((~>) (f6989586621679545961 a6989586621679545962) (f6989586621679545961 b6989586621679545963))
data FmapSym1 (arg6989586621679546355 :: (~>) a6989586621679545962 b6989586621679545963) :: forall f6989586621679545961. (~>) (f6989586621679545961 a6989586621679545962) (f6989586621679545961 b6989586621679545963)
type FmapSym2 (arg6989586621679546355 :: (~>) a6989586621679545962 b6989586621679545963) (arg6989586621679546356 :: f6989586621679545961 a6989586621679545962) = Fmap arg6989586621679546355 arg6989586621679546356
data (<$@#@$) :: forall a6989586621679545964 b6989586621679545965 f6989586621679545961. (~>) a6989586621679545964 ((~>) (f6989586621679545961 b6989586621679545965) (f6989586621679545961 a6989586621679545964))
data (<$@#@$$) (arg6989586621679546359 :: a6989586621679545964) :: forall b6989586621679545965 f6989586621679545961. (~>) (f6989586621679545961 b6989586621679545965) (f6989586621679545961 a6989586621679545964)
type (<$@#@$$$) (arg6989586621679546359 :: a6989586621679545964) (arg6989586621679546360 :: f6989586621679545961 b6989586621679545965) = (<$) arg6989586621679546359 arg6989586621679546360
data ($>@#@$) :: forall a6989586621679715291 b6989586621679715292 f6989586621679715290. (~>) (f6989586621679715290 a6989586621679715291) ((~>) b6989586621679715292 (f6989586621679715290 b6989586621679715292))
data ($>@#@$$) (a6989586621679715367 :: f6989586621679715290 a6989586621679715291) :: forall b6989586621679715292. (~>) b6989586621679715292 (f6989586621679715290 b6989586621679715292)
type ($>@#@$$$) (a6989586621679715367 :: f6989586621679715290 a6989586621679715291) (a6989586621679715368 :: b6989586621679715292) = ($>) a6989586621679715367 a6989586621679715368
data (<$>@#@$) :: forall a6989586621679715297 b6989586621679715298 f6989586621679715296. (~>) ((~>) a6989586621679715297 b6989586621679715298) ((~>) (f6989586621679715296 a6989586621679715297) (f6989586621679715296 b6989586621679715298))
data (<$>@#@$$) (a6989586621679715377 :: (~>) a6989586621679715297 b6989586621679715298) :: forall f6989586621679715296. (~>) (f6989586621679715296 a6989586621679715297) (f6989586621679715296 b6989586621679715298)
type (<$>@#@$$$) (a6989586621679715377 :: (~>) a6989586621679715297 b6989586621679715298) (a6989586621679715378 :: f6989586621679715296 a6989586621679715297) = (<$>) a6989586621679715377 a6989586621679715378
data (<&>@#@$) :: forall a6989586621679715294 b6989586621679715295 f6989586621679715293. (~>) (f6989586621679715293 a6989586621679715294) ((~>) ((~>) a6989586621679715294 b6989586621679715295) (f6989586621679715293 b6989586621679715295))
data (<&>@#@$$) (a6989586621679715383 :: f6989586621679715293 a6989586621679715294) :: forall b6989586621679715295. (~>) ((~>) a6989586621679715294 b6989586621679715295) (f6989586621679715293 b6989586621679715295)
type (<&>@#@$$$) (a6989586621679715383 :: f6989586621679715293 a6989586621679715294) (a6989586621679715384 :: (~>) a6989586621679715294 b6989586621679715295) = (<&>) a6989586621679715383 a6989586621679715384
data VoidSym0 :: forall a6989586621679715289 f6989586621679715288. (~>) (f6989586621679715288 a6989586621679715289) (f6989586621679715288 ())
type VoidSym1 (a6989586621679715360 :: f6989586621679715288 a6989586621679715289) = Void a6989586621679715360

Documentation

class PFunctor (f :: Type -> Type) Source #

Associated Types

type Fmap (arg :: (~>) a b) (arg :: f a) :: f b Source #

type (arg :: a) <$ (arg :: f b) :: f a infixl 4 Source #

Instances

PFunctor [] Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Maybe Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Min Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Max Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor First Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Last Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Option Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Identity Source #
Instance details Defined in Data.Singletons.Prelude.Identity Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor First Source #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Last Source #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Dual Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Sum Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Product Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor Down Source #
Instance details Defined in Data.Singletons.Prelude.Functor Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor NonEmpty Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor (Either a) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor ((,) a) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor (Arg a) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
PFunctor (Const m :: Type -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Const Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #

class SFunctor (f :: Type -> Type) where Source #

Minimal complete definition

sFmap

Methods

sFmap :: forall a b (t :: (~>) a b) (t :: f a). Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t :: f b) Source #

(%<$) :: forall a b (t :: a) (t :: f b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t :: f a) infixl 4 Source #

(%<$) :: forall a b (t :: a) (t :: f b). (Apply (Apply (<$@#@$) t) t :: f a) ~ Apply (Apply TFHelper_6989586621679546375Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t :: f a) infixl 4 Source #

Instances

SFunctor [] Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Maybe Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Min Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Max Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor First Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Last Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Option Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Identity Source #
Instance details Defined in Data.Singletons.Prelude.Identity Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor First Source #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Last Source #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Dual Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Sum Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Product Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor Down Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor NonEmpty Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor (Either a) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor ((,) a) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor (Arg a) Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
SFunctor (Const m :: Type -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Const Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #

type family (a :: f a) $> (a :: b) :: f b where ... infixl 4 Source #

Equations

a_6989586621679715363 $> a_6989586621679715365 = Apply (Apply (Apply FlipSym0 (<$@#@$)) a_6989586621679715363) a_6989586621679715365

(%$>) :: forall f a b (t :: f a) (t :: b). SFunctor f => Sing t -> Sing t -> Sing (Apply (Apply ($>@#@$) t) t :: f b) infixl 4 Source #

type family (a :: (~>) a b) <$> (a :: f a) :: f b where ... infixl 4 Source #

Equations

a_6989586621679715373 <$> a_6989586621679715375 = Apply (Apply FmapSym0 a_6989586621679715373) a_6989586621679715375

(%<$>) :: forall f a b (t :: (~>) a b) (t :: f a). SFunctor f => Sing t -> Sing t -> Sing (Apply (Apply (<$>@#@$) t) t :: f b) infixl 4 Source #

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

Equations

as <&> f = Apply (Apply (<$>@#@$) f) as

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

type family Void (a :: f a) :: f () where ... Source #

Equations

Void x = Apply (Apply (<$@#@$) Tuple0Sym0) x

sVoid :: forall f a (t :: f a). SFunctor f => Sing t -> Sing (Apply VoidSym0 t :: f ()) Source #

Defunctionalization symbols

data FmapSym0 :: forall a6989586621679545962 b6989586621679545963 f6989586621679545961. (~>) ((~>) a6989586621679545962 b6989586621679545963) ((~>) (f6989586621679545961 a6989586621679545962) (f6989586621679545961 b6989586621679545963)) Source #

Instances

SFunctor f => SingI (FmapSym0 :: TyFun (a ~> b) (f a ~> f b) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods sing :: Sing FmapSym0 Source #
SuppressUnusedWarnings (FmapSym0 :: TyFun (a6989586621679545962 ~> b6989586621679545963) (f6989586621679545961 a6989586621679545962 ~> f6989586621679545961 b6989586621679545963) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (FmapSym0 :: TyFun (a6989586621679545962 ~> b6989586621679545963) (f6989586621679545961 a6989586621679545962 ~> f6989586621679545961 b6989586621679545963) -> Type) (arg6989586621679546355 :: a6989586621679545962 ~> b6989586621679545963) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal type Apply (FmapSym0 :: TyFun (a6989586621679545962 ~> b6989586621679545963) (f6989586621679545961 a6989586621679545962 ~> f6989586621679545961 b6989586621679545963) -> Type) (arg6989586621679546355 :: a6989586621679545962 ~> b6989586621679545963) = (FmapSym1 arg6989586621679546355 f6989586621679545961 :: TyFun (f6989586621679545961 a6989586621679545962) (f6989586621679545961 b6989586621679545963) -> Type)

data FmapSym1 (arg6989586621679546355 :: (~>) a6989586621679545962 b6989586621679545963) :: forall f6989586621679545961. (~>) (f6989586621679545961 a6989586621679545962) (f6989586621679545961 b6989586621679545963) Source #

Instances

(SFunctor f, SingI d) => SingI (FmapSym1 d f :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods sing :: Sing (FmapSym1 d f) Source #
SuppressUnusedWarnings (FmapSym1 arg6989586621679546355 f6989586621679545961 :: TyFun (f6989586621679545961 a6989586621679545962) (f6989586621679545961 b6989586621679545963) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (FmapSym1 arg6989586621679546355 f :: TyFun (f a) (f b) -> Type) (arg6989586621679546356 :: f a) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal type Apply (FmapSym1 arg6989586621679546355 f :: TyFun (f a) (f b) -> Type) (arg6989586621679546356 :: f a) = Fmap arg6989586621679546355 arg6989586621679546356

type FmapSym2 (arg6989586621679546355 :: (~>) a6989586621679545962 b6989586621679545963) (arg6989586621679546356 :: f6989586621679545961 a6989586621679545962) = Fmap arg6989586621679546355 arg6989586621679546356 Source #

data (<$@#@$) :: forall a6989586621679545964 b6989586621679545965 f6989586621679545961. (~>) a6989586621679545964 ((~>) (f6989586621679545961 b6989586621679545965) (f6989586621679545961 a6989586621679545964)) infixl 4 Source #

Instances

SFunctor f => SingI ((<$@#@$) :: TyFun a (f b ~> f a) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods sing :: Sing (<$@#@$) Source #
SuppressUnusedWarnings ((<$@#@$) :: TyFun a6989586621679545964 (f6989586621679545961 b6989586621679545965 ~> f6989586621679545961 a6989586621679545964) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((<$@#@$) :: TyFun a6989586621679545964 (f6989586621679545961 b6989586621679545965 ~> f6989586621679545961 a6989586621679545964) -> Type) (arg6989586621679546359 :: a6989586621679545964) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal type Apply ((<$@#@$) :: TyFun a6989586621679545964 (f6989586621679545961 b6989586621679545965 ~> f6989586621679545961 a6989586621679545964) -> Type) (arg6989586621679546359 :: a6989586621679545964) = ((arg6989586621679546359 <$@#@$$ b6989586621679545965) f6989586621679545961 :: TyFun (f6989586621679545961 b6989586621679545965) (f6989586621679545961 a6989586621679545964) -> Type)

data (<$@#@$$) (arg6989586621679546359 :: a6989586621679545964) :: forall b6989586621679545965 f6989586621679545961. (~>) (f6989586621679545961 b6989586621679545965) (f6989586621679545961 a6989586621679545964) infixl 4 Source #

Instances

(SFunctor f, SingI d) => SingI ((d <$@#@$$ b) f :: TyFun (f b) (f a) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods sing :: Sing ((d <$@#@$$ b) f) Source #
SuppressUnusedWarnings ((arg6989586621679546359 <$@#@$$ b6989586621679545965) f6989586621679545961 :: TyFun (f6989586621679545961 b6989586621679545965) (f6989586621679545961 a6989586621679545964) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((arg6989586621679546359 <$@#@$$ b) f :: TyFun (f b) (f a) -> Type) (arg6989586621679546360 :: f b) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal type Apply ((arg6989586621679546359 <$@#@$$ b) f :: TyFun (f b) (f a) -> Type) (arg6989586621679546360 :: f b) = arg6989586621679546359 <$ arg6989586621679546360

type (<$@#@$$$) (arg6989586621679546359 :: a6989586621679545964) (arg6989586621679546360 :: f6989586621679545961 b6989586621679545965) = (<$) arg6989586621679546359 arg6989586621679546360 Source #

data ($>@#@$) :: forall a6989586621679715291 b6989586621679715292 f6989586621679715290. (~>) (f6989586621679715290 a6989586621679715291) ((~>) b6989586621679715292 (f6989586621679715290 b6989586621679715292)) infixl 4 Source #

Instances

SFunctor f => SingI (($>@#@$) :: TyFun (f a) (b ~> f b) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods sing :: Sing ($>@#@$) Source #
SuppressUnusedWarnings (($>@#@$) :: TyFun (f6989586621679715290 a6989586621679715291) (b6989586621679715292 ~> f6989586621679715290 b6989586621679715292) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply (($>@#@$) :: TyFun (f6989586621679715290 a6989586621679715291) (b6989586621679715292 ~> f6989586621679715290 b6989586621679715292) -> Type) (a6989586621679715367 :: f6989586621679715290 a6989586621679715291) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply (($>@#@$) :: TyFun (f6989586621679715290 a6989586621679715291) (b6989586621679715292 ~> f6989586621679715290 b6989586621679715292) -> Type) (a6989586621679715367 :: f6989586621679715290 a6989586621679715291) = (a6989586621679715367 $>@#@$$ b6989586621679715292 :: TyFun b6989586621679715292 (f6989586621679715290 b6989586621679715292) -> Type)

data ($>@#@$$) (a6989586621679715367 :: f6989586621679715290 a6989586621679715291) :: forall b6989586621679715292. (~>) b6989586621679715292 (f6989586621679715290 b6989586621679715292) infixl 4 Source #

Instances

(SFunctor f, SingI d) => SingI (d $>@#@$$ b :: TyFun b (f b) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods sing :: Sing (d $>@#@$$ b) Source #
SuppressUnusedWarnings (a6989586621679715367 $>@#@$$ b6989586621679715292 :: TyFun b6989586621679715292 (f6989586621679715290 b6989586621679715292) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply (a6989586621679715367 $>@#@$$ b :: TyFun b (f b) -> Type) (a6989586621679715368 :: b) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply (a6989586621679715367 $>@#@$$ b :: TyFun b (f b) -> Type) (a6989586621679715368 :: b) = a6989586621679715367 $> a6989586621679715368

type ($>@#@$$$) (a6989586621679715367 :: f6989586621679715290 a6989586621679715291) (a6989586621679715368 :: b6989586621679715292) = ($>) a6989586621679715367 a6989586621679715368 Source #

data (<$>@#@$) :: forall a6989586621679715297 b6989586621679715298 f6989586621679715296. (~>) ((~>) a6989586621679715297 b6989586621679715298) ((~>) (f6989586621679715296 a6989586621679715297) (f6989586621679715296 b6989586621679715298)) infixl 4 Source #

Instances

SFunctor f => SingI ((<$>@#@$) :: TyFun (a ~> b) (f a ~> f b) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods sing :: Sing (<$>@#@$) Source #
SuppressUnusedWarnings ((<$>@#@$) :: TyFun (a6989586621679715297 ~> b6989586621679715298) (f6989586621679715296 a6989586621679715297 ~> f6989586621679715296 b6989586621679715298) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply ((<$>@#@$) :: TyFun (a6989586621679715297 ~> b6989586621679715298) (f6989586621679715296 a6989586621679715297 ~> f6989586621679715296 b6989586621679715298) -> Type) (a6989586621679715377 :: a6989586621679715297 ~> b6989586621679715298) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply ((<$>@#@$) :: TyFun (a6989586621679715297 ~> b6989586621679715298) (f6989586621679715296 a6989586621679715297 ~> f6989586621679715296 b6989586621679715298) -> Type) (a6989586621679715377 :: a6989586621679715297 ~> b6989586621679715298) = (a6989586621679715377 <$>@#@$$ f6989586621679715296 :: TyFun (f6989586621679715296 a6989586621679715297) (f6989586621679715296 b6989586621679715298) -> Type)

data (<$>@#@$$) (a6989586621679715377 :: (~>) a6989586621679715297 b6989586621679715298) :: forall f6989586621679715296. (~>) (f6989586621679715296 a6989586621679715297) (f6989586621679715296 b6989586621679715298) infixl 4 Source #

Instances

(SFunctor f, SingI d) => SingI (d <$>@#@$$ f :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods sing :: Sing (d <$>@#@$$ f) Source #
SuppressUnusedWarnings (a6989586621679715377 <$>@#@$$ f6989586621679715296 :: TyFun (f6989586621679715296 a6989586621679715297) (f6989586621679715296 b6989586621679715298) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply (a6989586621679715377 <$>@#@$$ f :: TyFun (f a) (f b) -> Type) (a6989586621679715378 :: f a) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply (a6989586621679715377 <$>@#@$$ f :: TyFun (f a) (f b) -> Type) (a6989586621679715378 :: f a) = a6989586621679715377 <$> a6989586621679715378

type (<$>@#@$$$) (a6989586621679715377 :: (~>) a6989586621679715297 b6989586621679715298) (a6989586621679715378 :: f6989586621679715296 a6989586621679715297) = (<$>) a6989586621679715377 a6989586621679715378 Source #

data (<&>@#@$) :: forall a6989586621679715294 b6989586621679715295 f6989586621679715293. (~>) (f6989586621679715293 a6989586621679715294) ((~>) ((~>) a6989586621679715294 b6989586621679715295) (f6989586621679715293 b6989586621679715295)) infixl 1 Source #

Instances

SFunctor f => SingI ((<&>@#@$) :: TyFun (f a) ((a ~> b) ~> f b) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods sing :: Sing (<&>@#@$) Source #
SuppressUnusedWarnings ((<&>@#@$) :: TyFun (f6989586621679715293 a6989586621679715294) ((a6989586621679715294 ~> b6989586621679715295) ~> f6989586621679715293 b6989586621679715295) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply ((<&>@#@$) :: TyFun (f6989586621679715293 a6989586621679715294) ((a6989586621679715294 ~> b6989586621679715295) ~> f6989586621679715293 b6989586621679715295) -> Type) (a6989586621679715383 :: f6989586621679715293 a6989586621679715294) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply ((<&>@#@$) :: TyFun (f6989586621679715293 a6989586621679715294) ((a6989586621679715294 ~> b6989586621679715295) ~> f6989586621679715293 b6989586621679715295) -> Type) (a6989586621679715383 :: f6989586621679715293 a6989586621679715294) = (a6989586621679715383 <&>@#@$$ b6989586621679715295 :: TyFun (a6989586621679715294 ~> b6989586621679715295) (f6989586621679715293 b6989586621679715295) -> Type)

data (<&>@#@$$) (a6989586621679715383 :: f6989586621679715293 a6989586621679715294) :: forall b6989586621679715295. (~>) ((~>) a6989586621679715294 b6989586621679715295) (f6989586621679715293 b6989586621679715295) infixl 1 Source #

Instances

(SFunctor f, SingI d) => SingI (d <&>@#@$$ b :: TyFun (a ~> b) (f b) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods sing :: Sing (d <&>@#@$$ b) Source #
SuppressUnusedWarnings (a6989586621679715383 <&>@#@$$ b6989586621679715295 :: TyFun (a6989586621679715294 ~> b6989586621679715295) (f6989586621679715293 b6989586621679715295) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply (a6989586621679715383 <&>@#@$$ b :: TyFun (a ~> b) (f b) -> Type) (a6989586621679715384 :: a ~> b) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply (a6989586621679715383 <&>@#@$$ b :: TyFun (a ~> b) (f b) -> Type) (a6989586621679715384 :: a ~> b) = a6989586621679715383 <&> a6989586621679715384

type (<&>@#@$$$) (a6989586621679715383 :: f6989586621679715293 a6989586621679715294) (a6989586621679715384 :: (~>) a6989586621679715294 b6989586621679715295) = (<&>) a6989586621679715383 a6989586621679715384 Source #

data VoidSym0 :: forall a6989586621679715289 f6989586621679715288. (~>) (f6989586621679715288 a6989586621679715289) (f6989586621679715288 ()) Source #

Instances

SFunctor f => SingI (VoidSym0 :: TyFun (f a) (f ()) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods sing :: Sing VoidSym0 Source #
SuppressUnusedWarnings (VoidSym0 :: TyFun (f6989586621679715288 a6989586621679715289) (f6989586621679715288 ()) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply (VoidSym0 :: TyFun (f a) (f ()) -> Type) (a6989586621679715360 :: f a) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply (VoidSym0 :: TyFun (f a) (f ()) -> Type) (a6989586621679715360 :: f a) = Void a6989586621679715360

type VoidSym1 (a6989586621679715360 :: f6989586621679715288 a6989586621679715289) = Void a6989586621679715360 Source #

Orphan instances

SFunctor Down Source #
Instance details Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
PFunctor Down Source #
Instance details Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #
SFunctor ((,) a) Source #
Instance details Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) Source # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) Source #
PFunctor ((,) a) Source #
Instance details Associated Types type Fmap arg arg :: f b Source # type arg <$ arg :: f a Source #