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 (<&>@#@$) t) t :: f b)
type family Void (a :: f a) :: f () where ...
sVoid :: forall f a (t :: f a). SFunctor f => Sing t -> Sing (Apply VoidSym0 t :: f ())
data FmapSym0 :: forall a6989586621679545127 b6989586621679545128 f6989586621679545126. (~>) ((~>) a6989586621679545127 b6989586621679545128) ((~>) (f6989586621679545126 a6989586621679545127) (f6989586621679545126 b6989586621679545128))
data FmapSym1 (arg6989586621679545520 :: (~>) a6989586621679545127 b6989586621679545128) :: forall f6989586621679545126. (~>) (f6989586621679545126 a6989586621679545127) (f6989586621679545126 b6989586621679545128)
type FmapSym2 (arg6989586621679545520 :: (~>) a6989586621679545127 b6989586621679545128) (arg6989586621679545521 :: f6989586621679545126 a6989586621679545127) = Fmap arg6989586621679545520 arg6989586621679545521
data (<$@#@$) :: forall a6989586621679545129 b6989586621679545130 f6989586621679545126. (~>) a6989586621679545129 ((~>) (f6989586621679545126 b6989586621679545130) (f6989586621679545126 a6989586621679545129))
data (<$@#@$$) (arg6989586621679545524 :: a6989586621679545129) :: forall b6989586621679545130 f6989586621679545126. (~>) (f6989586621679545126 b6989586621679545130) (f6989586621679545126 a6989586621679545129)
type (<$@#@$$$) (arg6989586621679545524 :: a6989586621679545129) (arg6989586621679545525 :: f6989586621679545126 b6989586621679545130) = (<$) arg6989586621679545524 arg6989586621679545525
data ($>@#@$) :: forall a6989586621679714512 b6989586621679714513 f6989586621679714511. (~>) (f6989586621679714511 a6989586621679714512) ((~>) b6989586621679714513 (f6989586621679714511 b6989586621679714513))
data ($>@#@$$) (a6989586621679714588 :: f6989586621679714511 a6989586621679714512) :: forall b6989586621679714513. (~>) b6989586621679714513 (f6989586621679714511 b6989586621679714513)
type ($>@#@$$$) (a6989586621679714588 :: f6989586621679714511 a6989586621679714512) (a6989586621679714589 :: b6989586621679714513) = ($>) a6989586621679714588 a6989586621679714589
data (<$>@#@$) :: forall a6989586621679714518 b6989586621679714519 f6989586621679714517. (~>) ((~>) a6989586621679714518 b6989586621679714519) ((~>) (f6989586621679714517 a6989586621679714518) (f6989586621679714517 b6989586621679714519))
data (<$>@#@$$) (a6989586621679714598 :: (~>) a6989586621679714518 b6989586621679714519) :: forall f6989586621679714517. (~>) (f6989586621679714517 a6989586621679714518) (f6989586621679714517 b6989586621679714519)
type (<$>@#@$$$) (a6989586621679714598 :: (~>) a6989586621679714518 b6989586621679714519) (a6989586621679714599 :: f6989586621679714517 a6989586621679714518) = (<$>) a6989586621679714598 a6989586621679714599
data (<&>@#@$) :: forall a6989586621679714515 b6989586621679714516 f6989586621679714514. (~>) (f6989586621679714514 a6989586621679714515) ((~>) ((~>) a6989586621679714515 b6989586621679714516) (f6989586621679714514 b6989586621679714516))
data (<&>@#@$$) (a6989586621679714604 :: f6989586621679714514 a6989586621679714515) :: forall b6989586621679714516. (~>) ((~>) a6989586621679714515 b6989586621679714516) (f6989586621679714514 b6989586621679714516)
type (<&>@#@$$$) (a6989586621679714604 :: f6989586621679714514 a6989586621679714515) (a6989586621679714605 :: (~>) a6989586621679714515 b6989586621679714516) = (<&>) a6989586621679714604 a6989586621679714605
data VoidSym0 :: forall a6989586621679714510 f6989586621679714509. (~>) (f6989586621679714509 a6989586621679714510) (f6989586621679714509 ())
type VoidSym1 (a6989586621679714581 :: f6989586621679714509 a6989586621679714510) = Void a6989586621679714581

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 #

(%<$) :: forall a b (t :: a) (t :: f b). (Apply (Apply (<$@#@$) t) t :: f a) ~ Apply (Apply TFHelper_6989586621679545540Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) 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_6989586621679714584 $> a_6989586621679714586 = Apply (Apply (Apply FlipSym0 (<$@#@$)) a_6989586621679714584) a_6989586621679714586

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

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

Equations

a_6989586621679714594 <$> a_6989586621679714596 = Apply (Apply FmapSym0 a_6989586621679714594) a_6989586621679714596

(%<$>) :: forall f a b (t :: (~>) a b) (t :: f a). SFunctor f => Sing t -> Sing t -> Sing (Apply (Apply (<$>@#@$) 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 a6989586621679545127 b6989586621679545128 f6989586621679545126. (~>) ((~>) a6989586621679545127 b6989586621679545128) ((~>) (f6989586621679545126 a6989586621679545127) (f6989586621679545126 b6989586621679545128)) 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 (a6989586621679545127 ~> b6989586621679545128) (f6989586621679545126 a6989586621679545127 ~> f6989586621679545126 b6989586621679545128) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (FmapSym0 :: TyFun (a6989586621679545127 ~> b6989586621679545128) (f6989586621679545126 a6989586621679545127 ~> f6989586621679545126 b6989586621679545128) -> Type) (arg6989586621679545520 :: a6989586621679545127 ~> b6989586621679545128) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal type Apply (FmapSym0 :: TyFun (a6989586621679545127 ~> b6989586621679545128) (f6989586621679545126 a6989586621679545127 ~> f6989586621679545126 b6989586621679545128) -> Type) (arg6989586621679545520 :: a6989586621679545127 ~> b6989586621679545128) = (FmapSym1 arg6989586621679545520 f6989586621679545126 :: TyFun (f6989586621679545126 a6989586621679545127) (f6989586621679545126 b6989586621679545128) -> Type)

data FmapSym1 (arg6989586621679545520 :: (~>) a6989586621679545127 b6989586621679545128) :: forall f6989586621679545126. (~>) (f6989586621679545126 a6989586621679545127) (f6989586621679545126 b6989586621679545128) 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 arg6989586621679545520 f6989586621679545126 :: TyFun (f6989586621679545126 a6989586621679545127) (f6989586621679545126 b6989586621679545128) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (FmapSym1 arg6989586621679545520 f :: TyFun (f a) (f b) -> Type) (arg6989586621679545521 :: f a) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal type Apply (FmapSym1 arg6989586621679545520 f :: TyFun (f a) (f b) -> Type) (arg6989586621679545521 :: f a) = Fmap arg6989586621679545520 arg6989586621679545521

type FmapSym2 (arg6989586621679545520 :: (~>) a6989586621679545127 b6989586621679545128) (arg6989586621679545521 :: f6989586621679545126 a6989586621679545127) = Fmap arg6989586621679545520 arg6989586621679545521 Source #

data (<$@#@$) :: forall a6989586621679545129 b6989586621679545130 f6989586621679545126. (~>) a6989586621679545129 ((~>) (f6989586621679545126 b6989586621679545130) (f6989586621679545126 a6989586621679545129)) 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 a6989586621679545129 (f6989586621679545126 b6989586621679545130 ~> f6989586621679545126 a6989586621679545129) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((<$@#@$) :: TyFun a6989586621679545129 (f6989586621679545126 b6989586621679545130 ~> f6989586621679545126 a6989586621679545129) -> Type) (arg6989586621679545524 :: a6989586621679545129) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal type Apply ((<$@#@$) :: TyFun a6989586621679545129 (f6989586621679545126 b6989586621679545130 ~> f6989586621679545126 a6989586621679545129) -> Type) (arg6989586621679545524 :: a6989586621679545129) = ((arg6989586621679545524 <$@#@$$ b6989586621679545130) f6989586621679545126 :: TyFun (f6989586621679545126 b6989586621679545130) (f6989586621679545126 a6989586621679545129) -> Type)

data (<$@#@$$) (arg6989586621679545524 :: a6989586621679545129) :: forall b6989586621679545130 f6989586621679545126. (~>) (f6989586621679545126 b6989586621679545130) (f6989586621679545126 a6989586621679545129) 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 ((arg6989586621679545524 <$@#@$$ b6989586621679545130) f6989586621679545126 :: TyFun (f6989586621679545126 b6989586621679545130) (f6989586621679545126 a6989586621679545129) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((arg6989586621679545524 <$@#@$$ b) f :: TyFun (f b) (f a) -> Type) (arg6989586621679545525 :: f b) Source #
Instance details Defined in Data.Singletons.Prelude.Monad.Internal type Apply ((arg6989586621679545524 <$@#@$$ b) f :: TyFun (f b) (f a) -> Type) (arg6989586621679545525 :: f b) = arg6989586621679545524 <$ arg6989586621679545525

type (<$@#@$$$) (arg6989586621679545524 :: a6989586621679545129) (arg6989586621679545525 :: f6989586621679545126 b6989586621679545130) = (<$) arg6989586621679545524 arg6989586621679545525 Source #

data ($>@#@$) :: forall a6989586621679714512 b6989586621679714513 f6989586621679714511. (~>) (f6989586621679714511 a6989586621679714512) ((~>) b6989586621679714513 (f6989586621679714511 b6989586621679714513)) 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 (f6989586621679714511 a6989586621679714512) (b6989586621679714513 ~> f6989586621679714511 b6989586621679714513) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply (($>@#@$) :: TyFun (f6989586621679714511 a6989586621679714512) (b6989586621679714513 ~> f6989586621679714511 b6989586621679714513) -> Type) (a6989586621679714588 :: f6989586621679714511 a6989586621679714512) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply (($>@#@$) :: TyFun (f6989586621679714511 a6989586621679714512) (b6989586621679714513 ~> f6989586621679714511 b6989586621679714513) -> Type) (a6989586621679714588 :: f6989586621679714511 a6989586621679714512) = (a6989586621679714588 $>@#@$$ b6989586621679714513 :: TyFun b6989586621679714513 (f6989586621679714511 b6989586621679714513) -> Type)

data ($>@#@$$) (a6989586621679714588 :: f6989586621679714511 a6989586621679714512) :: forall b6989586621679714513. (~>) b6989586621679714513 (f6989586621679714511 b6989586621679714513) 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 (a6989586621679714588 $>@#@$$ b6989586621679714513 :: TyFun b6989586621679714513 (f6989586621679714511 b6989586621679714513) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply (a6989586621679714588 $>@#@$$ b :: TyFun b (f b) -> Type) (a6989586621679714589 :: b) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply (a6989586621679714588 $>@#@$$ b :: TyFun b (f b) -> Type) (a6989586621679714589 :: b) = a6989586621679714588 $> a6989586621679714589

type ($>@#@$$$) (a6989586621679714588 :: f6989586621679714511 a6989586621679714512) (a6989586621679714589 :: b6989586621679714513) = ($>) a6989586621679714588 a6989586621679714589 Source #

data (<$>@#@$) :: forall a6989586621679714518 b6989586621679714519 f6989586621679714517. (~>) ((~>) a6989586621679714518 b6989586621679714519) ((~>) (f6989586621679714517 a6989586621679714518) (f6989586621679714517 b6989586621679714519)) 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 (a6989586621679714518 ~> b6989586621679714519) (f6989586621679714517 a6989586621679714518 ~> f6989586621679714517 b6989586621679714519) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply ((<$>@#@$) :: TyFun (a6989586621679714518 ~> b6989586621679714519) (f6989586621679714517 a6989586621679714518 ~> f6989586621679714517 b6989586621679714519) -> Type) (a6989586621679714598 :: a6989586621679714518 ~> b6989586621679714519) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply ((<$>@#@$) :: TyFun (a6989586621679714518 ~> b6989586621679714519) (f6989586621679714517 a6989586621679714518 ~> f6989586621679714517 b6989586621679714519) -> Type) (a6989586621679714598 :: a6989586621679714518 ~> b6989586621679714519) = (a6989586621679714598 <$>@#@$$ f6989586621679714517 :: TyFun (f6989586621679714517 a6989586621679714518) (f6989586621679714517 b6989586621679714519) -> Type)

data (<$>@#@$$) (a6989586621679714598 :: (~>) a6989586621679714518 b6989586621679714519) :: forall f6989586621679714517. (~>) (f6989586621679714517 a6989586621679714518) (f6989586621679714517 b6989586621679714519) 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 (a6989586621679714598 <$>@#@$$ f6989586621679714517 :: TyFun (f6989586621679714517 a6989586621679714518) (f6989586621679714517 b6989586621679714519) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply (a6989586621679714598 <$>@#@$$ f :: TyFun (f a) (f b) -> Type) (a6989586621679714599 :: f a) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply (a6989586621679714598 <$>@#@$$ f :: TyFun (f a) (f b) -> Type) (a6989586621679714599 :: f a) = a6989586621679714598 <$> a6989586621679714599

type (<$>@#@$$$) (a6989586621679714598 :: (~>) a6989586621679714518 b6989586621679714519) (a6989586621679714599 :: f6989586621679714517 a6989586621679714518) = (<$>) a6989586621679714598 a6989586621679714599 Source #

data (<&>@#@$) :: forall a6989586621679714515 b6989586621679714516 f6989586621679714514. (~>) (f6989586621679714514 a6989586621679714515) ((~>) ((~>) a6989586621679714515 b6989586621679714516) (f6989586621679714514 b6989586621679714516)) 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 ((<&>@#@$) :: TyFun (f6989586621679714514 a6989586621679714515) ((a6989586621679714515 ~> b6989586621679714516) ~> f6989586621679714514 b6989586621679714516) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply ((<&>@#@$) :: TyFun (f6989586621679714514 a6989586621679714515) ((a6989586621679714515 ~> b6989586621679714516) ~> f6989586621679714514 b6989586621679714516) -> Type) (a6989586621679714604 :: f6989586621679714514 a6989586621679714515) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply ((<&>@#@$) :: TyFun (f6989586621679714514 a6989586621679714515) ((a6989586621679714515 ~> b6989586621679714516) ~> f6989586621679714514 b6989586621679714516) -> Type) (a6989586621679714604 :: f6989586621679714514 a6989586621679714515) = (a6989586621679714604 <&>@#@$$ b6989586621679714516 :: TyFun (a6989586621679714515 ~> b6989586621679714516) (f6989586621679714514 b6989586621679714516) -> Type)

data (<&>@#@$$) (a6989586621679714604 :: f6989586621679714514 a6989586621679714515) :: forall b6989586621679714516. (~>) ((~>) a6989586621679714515 b6989586621679714516) (f6989586621679714514 b6989586621679714516) 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 (a6989586621679714604 <&>@#@$$ b6989586621679714516 :: TyFun (a6989586621679714515 ~> b6989586621679714516) (f6989586621679714514 b6989586621679714516) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply (a6989586621679714604 <&>@#@$$ b :: TyFun (a ~> b) (f b) -> Type) (a6989586621679714605 :: a ~> b) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply (a6989586621679714604 <&>@#@$$ b :: TyFun (a ~> b) (f b) -> Type) (a6989586621679714605 :: a ~> b) = a6989586621679714604 <&> a6989586621679714605

type (<&>@#@$$$) (a6989586621679714604 :: f6989586621679714514 a6989586621679714515) (a6989586621679714605 :: (~>) a6989586621679714515 b6989586621679714516) = (<&>) a6989586621679714604 a6989586621679714605 Source #

data VoidSym0 :: forall a6989586621679714510 f6989586621679714509. (~>) (f6989586621679714509 a6989586621679714510) (f6989586621679714509 ()) 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 (f6989586621679714509 a6989586621679714510) (f6989586621679714509 ()) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Functor Methods suppressUnusedWarnings :: () Source #
type Apply (VoidSym0 :: TyFun (f a) (f ()) -> Type) (a6989586621679714581 :: f a) Source #
Instance details Defined in Data.Singletons.Prelude.Functor type Apply (VoidSym0 :: TyFun (f a) (f ()) -> Type) (a6989586621679714581 :: f a) = Void a6989586621679714581

type VoidSym1 (a6989586621679714581 :: f6989586621679714509 a6989586621679714510) = Void a6989586621679714581 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 #