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 (<&>@#@$) t) t :: f b)
type family Void (a :: f a) :: f () where ...
sVoid :: forall f a (t :: f a). SFunctor f => Sing t -> Sing (Apply VoidSym0 t :: f ())
data FmapSym0 :: forall a6989586621679536044 b6989586621679536045 f6989586621679536043. (~>) ((~>) a6989586621679536044 b6989586621679536045) ((~>) (f6989586621679536043 a6989586621679536044) (f6989586621679536043 b6989586621679536045))
data FmapSym1 (arg6989586621679536437 :: (~>) a6989586621679536044 b6989586621679536045) :: forall f6989586621679536043. (~>) (f6989586621679536043 a6989586621679536044) (f6989586621679536043 b6989586621679536045)
type FmapSym2 (arg6989586621679536437 :: (~>) a6989586621679536044 b6989586621679536045) (arg6989586621679536438 :: f6989586621679536043 a6989586621679536044) = Fmap arg6989586621679536437 arg6989586621679536438
data (<$@#@$) :: forall a6989586621679536046 b6989586621679536047 f6989586621679536043. (~>) a6989586621679536046 ((~>) (f6989586621679536043 b6989586621679536047) (f6989586621679536043 a6989586621679536046))
data (<$@#@$$) (arg6989586621679536441 :: a6989586621679536046) :: forall b6989586621679536047 f6989586621679536043. (~>) (f6989586621679536043 b6989586621679536047) (f6989586621679536043 a6989586621679536046)
type (<$@#@$$$) (arg6989586621679536441 :: a6989586621679536046) (arg6989586621679536442 :: f6989586621679536043 b6989586621679536047) = (<$) arg6989586621679536441 arg6989586621679536442
data ($>@#@$) :: forall a6989586621679705373 b6989586621679705374 f6989586621679705372. (~>) (f6989586621679705372 a6989586621679705373) ((~>) b6989586621679705374 (f6989586621679705372 b6989586621679705374))
data ($>@#@$$) (a6989586621679705449 :: f6989586621679705372 a6989586621679705373) :: forall b6989586621679705374. (~>) b6989586621679705374 (f6989586621679705372 b6989586621679705374)
type ($>@#@$$$) (a6989586621679705449 :: f6989586621679705372 a6989586621679705373) (a6989586621679705450 :: b6989586621679705374) = ($>) a6989586621679705449 a6989586621679705450
data (<$>@#@$) :: forall a6989586621679705379 b6989586621679705380 f6989586621679705378. (~>) ((~>) a6989586621679705379 b6989586621679705380) ((~>) (f6989586621679705378 a6989586621679705379) (f6989586621679705378 b6989586621679705380))
data (<$>@#@$$) (a6989586621679705459 :: (~>) a6989586621679705379 b6989586621679705380) :: forall f6989586621679705378. (~>) (f6989586621679705378 a6989586621679705379) (f6989586621679705378 b6989586621679705380)
type (<$>@#@$$$) (a6989586621679705459 :: (~>) a6989586621679705379 b6989586621679705380) (a6989586621679705460 :: f6989586621679705378 a6989586621679705379) = (<$>) a6989586621679705459 a6989586621679705460
data (<&>@#@$) :: forall a6989586621679705376 b6989586621679705377 f6989586621679705375. (~>) (f6989586621679705375 a6989586621679705376) ((~>) ((~>) a6989586621679705376 b6989586621679705377) (f6989586621679705375 b6989586621679705377))
data (<&>@#@$$) (a6989586621679705465 :: f6989586621679705375 a6989586621679705376) :: forall b6989586621679705377. (~>) ((~>) a6989586621679705376 b6989586621679705377) (f6989586621679705375 b6989586621679705377)
type (<&>@#@$$$) (a6989586621679705465 :: f6989586621679705375 a6989586621679705376) (a6989586621679705466 :: (~>) a6989586621679705376 b6989586621679705377) = (<&>) a6989586621679705465 a6989586621679705466
data VoidSym0 :: forall a6989586621679705371 f6989586621679705370. (~>) (f6989586621679705370 a6989586621679705371) (f6989586621679705370 ())
type VoidSym1 (a6989586621679705442 :: f6989586621679705370 a6989586621679705371) = Void a6989586621679705442

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 #

(%<$) :: forall a b (t :: a) (t :: f b). (Apply (Apply (<$@#@$) t) t :: f a) ~ Apply (Apply TFHelper_6989586621679536457Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) 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_6989586621679705445 $> a_6989586621679705447 = Apply (Apply (Apply FlipSym0 (<$@#@$)) a_6989586621679705445) a_6989586621679705447

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

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

Equations

a_6989586621679705455 <$> a_6989586621679705457 = Apply (Apply FmapSym0 a_6989586621679705455) a_6989586621679705457

(%<$>) :: forall f a b (t :: (~>) a b) (t :: f a). SFunctor f => Sing t -> Sing t -> Sing (Apply (Apply (<$>@#@$) 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 a6989586621679536044 b6989586621679536045 f6989586621679536043. (~>) ((~>) a6989586621679536044 b6989586621679536045) ((~>) (f6989586621679536043 a6989586621679536044) (f6989586621679536043 b6989586621679536045)) 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 (a6989586621679536044 ~> b6989586621679536045) (f6989586621679536043 a6989586621679536044 ~> f6989586621679536043 b6989586621679536045) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (FmapSym0 :: TyFun (a6989586621679536044 ~> b6989586621679536045) (f6989586621679536043 a6989586621679536044 ~> f6989586621679536043 b6989586621679536045) -> Type) (arg6989586621679536437 :: a6989586621679536044 ~> b6989586621679536045) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal type Apply (FmapSym0 :: TyFun (a6989586621679536044 ~> b6989586621679536045) (f6989586621679536043 a6989586621679536044 ~> f6989586621679536043 b6989586621679536045) -> Type) (arg6989586621679536437 :: a6989586621679536044 ~> b6989586621679536045) = (FmapSym1 arg6989586621679536437 f6989586621679536043 :: TyFun (f6989586621679536043 a6989586621679536044) (f6989586621679536043 b6989586621679536045) -> Type)

data FmapSym1 (arg6989586621679536437 :: (~>) a6989586621679536044 b6989586621679536045) :: forall f6989586621679536043. (~>) (f6989586621679536043 a6989586621679536044) (f6989586621679536043 b6989586621679536045) 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 arg6989586621679536437 f6989586621679536043 :: TyFun (f6989586621679536043 a6989586621679536044) (f6989586621679536043 b6989586621679536045) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (FmapSym1 arg6989586621679536437 f :: TyFun (f a) (f b) -> Type) (arg6989586621679536438 :: f a) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal type Apply (FmapSym1 arg6989586621679536437 f :: TyFun (f a) (f b) -> Type) (arg6989586621679536438 :: f a) = Fmap arg6989586621679536437 arg6989586621679536438

type FmapSym2 (arg6989586621679536437 :: (~>) a6989586621679536044 b6989586621679536045) (arg6989586621679536438 :: f6989586621679536043 a6989586621679536044) = Fmap arg6989586621679536437 arg6989586621679536438 Source #

data (<$@#@$) :: forall a6989586621679536046 b6989586621679536047 f6989586621679536043. (~>) a6989586621679536046 ((~>) (f6989586621679536043 b6989586621679536047) (f6989586621679536043 a6989586621679536046)) 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 a6989586621679536046 (f6989586621679536043 b6989586621679536047 ~> f6989586621679536043 a6989586621679536046) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((<$@#@$) :: TyFun a6989586621679536046 (f6989586621679536043 b6989586621679536047 ~> f6989586621679536043 a6989586621679536046) -> Type) (arg6989586621679536441 :: a6989586621679536046) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal type Apply ((<$@#@$) :: TyFun a6989586621679536046 (f6989586621679536043 b6989586621679536047 ~> f6989586621679536043 a6989586621679536046) -> Type) (arg6989586621679536441 :: a6989586621679536046) = ((arg6989586621679536441 <$@#@$$ b6989586621679536047) f6989586621679536043 :: TyFun (f6989586621679536043 b6989586621679536047) (f6989586621679536043 a6989586621679536046) -> Type)

data (<$@#@$$) (arg6989586621679536441 :: a6989586621679536046) :: forall b6989586621679536047 f6989586621679536043. (~>) (f6989586621679536043 b6989586621679536047) (f6989586621679536043 a6989586621679536046) 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 ((arg6989586621679536441 <$@#@$$ b6989586621679536047) f6989586621679536043 :: TyFun (f6989586621679536043 b6989586621679536047) (f6989586621679536043 a6989586621679536046) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((arg6989586621679536441 <$@#@$$ b) f :: TyFun (f b) (f a) -> Type) (arg6989586621679536442 :: f b) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal type Apply ((arg6989586621679536441 <$@#@$$ b) f :: TyFun (f b) (f a) -> Type) (arg6989586621679536442 :: f b) = arg6989586621679536441 <$ arg6989586621679536442

type (<$@#@$$$) (arg6989586621679536441 :: a6989586621679536046) (arg6989586621679536442 :: f6989586621679536043 b6989586621679536047) = (<$) arg6989586621679536441 arg6989586621679536442 Source #

data ($>@#@$) :: forall a6989586621679705373 b6989586621679705374 f6989586621679705372. (~>) (f6989586621679705372 a6989586621679705373) ((~>) b6989586621679705374 (f6989586621679705372 b6989586621679705374)) 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 (f6989586621679705372 a6989586621679705373) (b6989586621679705374 ~> f6989586621679705372 b6989586621679705374) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply (($>@#@$) :: TyFun (f6989586621679705372 a6989586621679705373) (b6989586621679705374 ~> f6989586621679705372 b6989586621679705374) -> Type) (a6989586621679705449 :: f6989586621679705372 a6989586621679705373) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply (($>@#@$) :: TyFun (f6989586621679705372 a6989586621679705373) (b6989586621679705374 ~> f6989586621679705372 b6989586621679705374) -> Type) (a6989586621679705449 :: f6989586621679705372 a6989586621679705373) = (a6989586621679705449 $>@#@$$ b6989586621679705374 :: TyFun b6989586621679705374 (f6989586621679705372 b6989586621679705374) -> Type)

data ($>@#@$$) (a6989586621679705449 :: f6989586621679705372 a6989586621679705373) :: forall b6989586621679705374. (~>) b6989586621679705374 (f6989586621679705372 b6989586621679705374) 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 (a6989586621679705449 $>@#@$$ b6989586621679705374 :: TyFun b6989586621679705374 (f6989586621679705372 b6989586621679705374) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply (a6989586621679705449 $>@#@$$ b :: TyFun b (f b) -> Type) (a6989586621679705450 :: b) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply (a6989586621679705449 $>@#@$$ b :: TyFun b (f b) -> Type) (a6989586621679705450 :: b) = a6989586621679705449 $> a6989586621679705450

type ($>@#@$$$) (a6989586621679705449 :: f6989586621679705372 a6989586621679705373) (a6989586621679705450 :: b6989586621679705374) = ($>) a6989586621679705449 a6989586621679705450 Source #

data (<$>@#@$) :: forall a6989586621679705379 b6989586621679705380 f6989586621679705378. (~>) ((~>) a6989586621679705379 b6989586621679705380) ((~>) (f6989586621679705378 a6989586621679705379) (f6989586621679705378 b6989586621679705380)) 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 (a6989586621679705379 ~> b6989586621679705380) (f6989586621679705378 a6989586621679705379 ~> f6989586621679705378 b6989586621679705380) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply ((<$>@#@$) :: TyFun (a6989586621679705379 ~> b6989586621679705380) (f6989586621679705378 a6989586621679705379 ~> f6989586621679705378 b6989586621679705380) -> Type) (a6989586621679705459 :: a6989586621679705379 ~> b6989586621679705380) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply ((<$>@#@$) :: TyFun (a6989586621679705379 ~> b6989586621679705380) (f6989586621679705378 a6989586621679705379 ~> f6989586621679705378 b6989586621679705380) -> Type) (a6989586621679705459 :: a6989586621679705379 ~> b6989586621679705380) = (a6989586621679705459 <$>@#@$$ f6989586621679705378 :: TyFun (f6989586621679705378 a6989586621679705379) (f6989586621679705378 b6989586621679705380) -> Type)

data (<$>@#@$$) (a6989586621679705459 :: (~>) a6989586621679705379 b6989586621679705380) :: forall f6989586621679705378. (~>) (f6989586621679705378 a6989586621679705379) (f6989586621679705378 b6989586621679705380) 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 (a6989586621679705459 <$>@#@$$ f6989586621679705378 :: TyFun (f6989586621679705378 a6989586621679705379) (f6989586621679705378 b6989586621679705380) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply (a6989586621679705459 <$>@#@$$ f :: TyFun (f a) (f b) -> Type) (a6989586621679705460 :: f a) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply (a6989586621679705459 <$>@#@$$ f :: TyFun (f a) (f b) -> Type) (a6989586621679705460 :: f a) = a6989586621679705459 <$> a6989586621679705460

type (<$>@#@$$$) (a6989586621679705459 :: (~>) a6989586621679705379 b6989586621679705380) (a6989586621679705460 :: f6989586621679705378 a6989586621679705379) = (<$>) a6989586621679705459 a6989586621679705460 Source #

data (<&>@#@$) :: forall a6989586621679705376 b6989586621679705377 f6989586621679705375. (~>) (f6989586621679705375 a6989586621679705376) ((~>) ((~>) a6989586621679705376 b6989586621679705377) (f6989586621679705375 b6989586621679705377)) 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 ((<&>@#@$) :: TyFun (f6989586621679705375 a6989586621679705376) ((a6989586621679705376 ~> b6989586621679705377) ~> f6989586621679705375 b6989586621679705377) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply ((<&>@#@$) :: TyFun (f6989586621679705375 a6989586621679705376) ((a6989586621679705376 ~> b6989586621679705377) ~> f6989586621679705375 b6989586621679705377) -> Type) (a6989586621679705465 :: f6989586621679705375 a6989586621679705376) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply ((<&>@#@$) :: TyFun (f6989586621679705375 a6989586621679705376) ((a6989586621679705376 ~> b6989586621679705377) ~> f6989586621679705375 b6989586621679705377) -> Type) (a6989586621679705465 :: f6989586621679705375 a6989586621679705376) = (a6989586621679705465 <&>@#@$$ b6989586621679705377 :: TyFun (a6989586621679705376 ~> b6989586621679705377) (f6989586621679705375 b6989586621679705377) -> Type)

data (<&>@#@$$) (a6989586621679705465 :: f6989586621679705375 a6989586621679705376) :: forall b6989586621679705377. (~>) ((~>) a6989586621679705376 b6989586621679705377) (f6989586621679705375 b6989586621679705377) 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 (a6989586621679705465 <&>@#@$$ b6989586621679705377 :: TyFun (a6989586621679705376 ~> b6989586621679705377) (f6989586621679705375 b6989586621679705377) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply (a6989586621679705465 <&>@#@$$ b :: TyFun (a ~> b) (f b) -> Type) (a6989586621679705466 :: a ~> b) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply (a6989586621679705465 <&>@#@$$ b :: TyFun (a ~> b) (f b) -> Type) (a6989586621679705466 :: a ~> b) = a6989586621679705465 <&> a6989586621679705466

type (<&>@#@$$$) (a6989586621679705465 :: f6989586621679705375 a6989586621679705376) (a6989586621679705466 :: (~>) a6989586621679705376 b6989586621679705377) = (<&>) a6989586621679705465 a6989586621679705466 Source #

data VoidSym0 :: forall a6989586621679705371 f6989586621679705370. (~>) (f6989586621679705370 a6989586621679705371) (f6989586621679705370 ()) 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 (f6989586621679705370 a6989586621679705371) (f6989586621679705370 ()) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply (VoidSym0 :: TyFun (f a) (f ()) -> Type) (a6989586621679705442 :: f a) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply (VoidSym0 :: TyFun (f a) (f ()) -> Type) (a6989586621679705442 :: f a) = Void a6989586621679705442

type VoidSym1 (a6989586621679705442 :: f6989586621679705370 a6989586621679705371) = Void a6989586621679705442 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 #