Data.Functor.Singletons

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

Documentation

class PFunctor f

Associated Types

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

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

type a <$ a = Apply (Apply TFHelper_6989586621679276550Sym0 a) a

Instances

PFunctor Identity

Defined in Data.Functor.Identity.Singletons

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor First

Defined in Data.Monoid.Singletons

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor Last

Defined in Data.Monoid.Singletons

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor Down

Defined in Data.Functor.Singletons

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor First

Defined in Data.Semigroup.Singletons

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor Last

Defined in Data.Semigroup.Singletons

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor Max

Defined in Data.Semigroup.Singletons

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor Min

Defined in Data.Semigroup.Singletons

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor Dual

Defined in Data.Semigroup.Singletons.Internal.Wrappers

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor Product

Defined in Data.Semigroup.Singletons.Internal.Wrappers

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor Sum

Defined in Data.Semigroup.Singletons.Internal.Wrappers

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor NonEmpty

Defined in Control.Monad.Singletons.Internal

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor Maybe

Defined in Control.Monad.Singletons.Internal

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor List

Defined in Control.Monad.Singletons.Internal

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor (Either a)

Defined in Control.Monad.Singletons.Internal

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor (Proxy :: Type -> Type)

Defined in Data.Proxy.Singletons

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor (Arg a)

Defined in Data.Semigroup.Singletons

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor ((,) a)

Defined in Data.Functor.Singletons

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor (Const m :: Type -> Type)

Defined in Data.Functor.Const.Singletons

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor (Product f g)

Defined in Data.Functor.Product.Singletons

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor (Sum f g)

Defined in Data.Functor.Sum.Singletons

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

PFunctor (Compose f g)

Defined in Data.Functor.Compose.Singletons

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

class SFunctor f where

Minimal complete definition

sFmap

Methods

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

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

default (%<$) :: forall (t :: a) (t :: f b). (Apply (Apply (<$@#@$) t) t :: f a) ~ Apply (Apply TFHelper_6989586621679276550Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t :: f a) :: Type

Instances

SFunctor Identity

Defined in Data.Functor.Identity.Singletons

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: Identity b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

SFunctor First

Defined in Data.Monoid.Singletons

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: First b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

SFunctor Last

Defined in Data.Monoid.Singletons

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: Last b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

SFunctor Down

Defined in Data.Functor.Singletons

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: Down b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

SFunctor First

Defined in Data.Semigroup.Singletons

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: First b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

SFunctor Last

Defined in Data.Semigroup.Singletons

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: Last b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

SFunctor Max

Defined in Data.Semigroup.Singletons

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: Max b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

SFunctor Min

Defined in Data.Semigroup.Singletons

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: Min b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

SFunctor Dual

Defined in Data.Semigroup.Singletons.Internal.Wrappers

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: Dual a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: Dual b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

SFunctor Product

Defined in Data.Semigroup.Singletons.Internal.Wrappers

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: Product b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

SFunctor Sum

Defined in Data.Semigroup.Singletons.Internal.Wrappers

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: Sum b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

SFunctor NonEmpty

Defined in Control.Monad.Singletons.Internal

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: NonEmpty b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

SFunctor Maybe

Defined in Control.Monad.Singletons.Internal

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: Maybe a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: Maybe b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

SFunctor List

Defined in Control.Monad.Singletons.Internal

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: [a]). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: [b]). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

SFunctor (Either a)

Defined in Control.Monad.Singletons.Internal

Methods

sFmap :: forall a0 b (t1 :: a0 ~> b) (t2 :: Either a a0). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a0 b (t1 :: a0) (t2 :: Either a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

SFunctor (Proxy :: Type -> Type)

Defined in Data.Proxy.Singletons

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: Proxy a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: Proxy b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

SFunctor (Arg a)

Defined in Data.Semigroup.Singletons

Methods

sFmap :: forall a0 b (t1 :: a0 ~> b) (t2 :: Arg a a0). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a0 b (t1 :: a0) (t2 :: Arg a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

SFunctor ((,) a)

Defined in Data.Functor.Singletons

Methods

sFmap :: forall a0 b (t1 :: a0 ~> b) (t2 :: (a, a0)). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a0 b (t1 :: a0) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

SFunctor (Const m :: Type -> Type)

Defined in Data.Functor.Const.Singletons

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: Const m a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: Const m b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

(SFunctor f, SFunctor g) => SFunctor (Product f g)

Defined in Data.Functor.Product.Singletons

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: Product f g a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: Product f g b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

(SFunctor f, SFunctor g) => SFunctor (Sum f g)

Defined in Data.Functor.Sum.Singletons

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: Sum f g a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: Sum f g b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

(SFunctor f, SFunctor g) => SFunctor (Compose f g)

Defined in Data.Functor.Compose.Singletons

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: Compose f g a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: Compose f g b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

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

Equations

a_6989586621679430440 $> a_6989586621679430442 = Apply (Apply (Apply FlipSym0 (<$@#@$)) a_6989586621679430440) a_6989586621679430442

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

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

Equations

a_6989586621679430458 <$> a_6989586621679430460 = Apply (Apply FmapSym0 a_6989586621679430458) a_6989586621679430460

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

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

Equations

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

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

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

Equations

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

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

Defunctionalization symbols

data FmapSym0 :: (~>) ((~>) a b) ((~>) (f a) (f b))

Instances

SFunctor f => SingI (FmapSym0 :: TyFun (a ~> b) (f a ~> f b) -> Type)

Defined in Control.Monad.Singletons.Internal

Methods

sing :: Sing FmapSym0

SuppressUnusedWarnings (FmapSym0 :: TyFun (a ~> b) (f a ~> f b) -> Type)

Defined in Control.Monad.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (FmapSym0 :: TyFun (a ~> b) (f a ~> f b) -> Type) (a6989586621679276541 :: a ~> b)

Defined in Control.Monad.Singletons.Internal

type Apply (FmapSym0 :: TyFun (a ~> b) (f a ~> f b) -> Type) (a6989586621679276541 :: a ~> b) = FmapSym1 a6989586621679276541 :: TyFun (f a) (f b) -> Type

data FmapSym1 (a6989586621679276541 :: (~>) a b) :: (~>) (f a) (f b)

Instances

SFunctor f => SingI1 (FmapSym1 :: (a ~> b) -> TyFun (f a) (f b) -> Type)

Defined in Control.Monad.Singletons.Internal

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (FmapSym1 x)

(SFunctor f, SingI d) => SingI (FmapSym1 d :: TyFun (f a) (f b) -> Type)

Defined in Control.Monad.Singletons.Internal

Methods

sing :: Sing (FmapSym1 d)

SuppressUnusedWarnings (FmapSym1 a6989586621679276541 :: TyFun (f a) (f b) -> Type)

Defined in Control.Monad.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (FmapSym1 a6989586621679276541 :: TyFun (f a) (f b) -> Type) (a6989586621679276542 :: f a)

Defined in Control.Monad.Singletons.Internal

type Apply (FmapSym1 a6989586621679276541 :: TyFun (f a) (f b) -> Type) (a6989586621679276542 :: f a) = Fmap a6989586621679276541 a6989586621679276542

type family FmapSym2 (a6989586621679276541 :: (~>) a b) (a6989586621679276542 :: f a) :: f b where ...

Equations

FmapSym2 a6989586621679276541 a6989586621679276542 = Fmap a6989586621679276541 a6989586621679276542

data (<$@#@$) :: (~>) a ((~>) (f b) (f a)) infixl 4

Instances

SFunctor f => SingI ((<$@#@$) :: TyFun a (f b ~> f a) -> Type)

Defined in Control.Monad.Singletons.Internal

Methods

sing :: Sing (<$@#@$)

SuppressUnusedWarnings ((<$@#@$) :: TyFun a (f b ~> f a) -> Type)

Defined in Control.Monad.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply ((<$@#@$) :: TyFun a (f b ~> f a) -> Type) (a6989586621679276546 :: a)

Defined in Control.Monad.Singletons.Internal

type Apply ((<$@#@$) :: TyFun a (f b ~> f a) -> Type) (a6989586621679276546 :: a) = (<$@#@$$) a6989586621679276546 :: TyFun (f b) (f a) -> Type

data (<$@#@$$) (a6989586621679276546 :: a) :: (~>) (f b) (f a) infixl 4

Instances

SFunctor f => SingI1 ((<$@#@$$) :: a -> TyFun (f b) (f a) -> Type)

Defined in Control.Monad.Singletons.Internal

Methods

liftSing :: forall (x :: k1). Sing x -> Sing ((<$@#@$$) x)

(SFunctor f, SingI d) => SingI ((<$@#@$$) d :: TyFun (f b) (f a) -> Type)

Defined in Control.Monad.Singletons.Internal

Methods

sing :: Sing ((<$@#@$$) d)

SuppressUnusedWarnings ((<$@#@$$) a6989586621679276546 :: TyFun (f b) (f a) -> Type)

Defined in Control.Monad.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply ((<$@#@$$) a6989586621679276546 :: TyFun (f b) (f a) -> Type) (a6989586621679276547 :: f b)

Defined in Control.Monad.Singletons.Internal

type Apply ((<$@#@$$) a6989586621679276546 :: TyFun (f b) (f a) -> Type) (a6989586621679276547 :: f b) = a6989586621679276546 <$ a6989586621679276547

type family (a6989586621679276546 :: a) <$@#@$$$ (a6989586621679276547 :: f b) :: f a where ... infixl 4

Equations

a6989586621679276546 <$@#@$$$ a6989586621679276547 = (<$) a6989586621679276546 a6989586621679276547

data ($>@#@$) :: (~>) (f a) ((~>) b (f b)) infixl 4

Instances

SFunctor f => SingI (($>@#@$) :: TyFun (f a) (b ~> f b) -> Type)

Defined in Data.Functor.Singletons

Methods

sing :: Sing ($>@#@$)

SuppressUnusedWarnings (($>@#@$) :: TyFun (f a) (b ~> f b) -> Type)

Defined in Data.Functor.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (($>@#@$) :: TyFun (f a) (b ~> f b) -> Type) (a6989586621679430447 :: f a)

Defined in Data.Functor.Singletons

type Apply (($>@#@$) :: TyFun (f a) (b ~> f b) -> Type) (a6989586621679430447 :: f a) = ($>@#@$$) a6989586621679430447 :: TyFun b (f b) -> Type

data ($>@#@$$) (a6989586621679430447 :: f a) :: (~>) b (f b) infixl 4

Instances

SFunctor f => SingI1 (($>@#@$$) :: f a -> TyFun b (f b) -> Type)

Defined in Data.Functor.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (($>@#@$$) x)

(SFunctor f, SingI d) => SingI (($>@#@$$) d :: TyFun b (f b) -> Type)

Defined in Data.Functor.Singletons

Methods

sing :: Sing (($>@#@$$) d)

SuppressUnusedWarnings (($>@#@$$) a6989586621679430447 :: TyFun b (f b) -> Type)

Defined in Data.Functor.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (($>@#@$$) a6989586621679430447 :: TyFun b (f b) -> Type) (a6989586621679430448 :: b)

Defined in Data.Functor.Singletons

type Apply (($>@#@$$) a6989586621679430447 :: TyFun b (f b) -> Type) (a6989586621679430448 :: b) = a6989586621679430447 $> a6989586621679430448

type family (a6989586621679430447 :: f a) $>@#@$$$ (a6989586621679430448 :: b) :: f b where ... infixl 4

Equations

a6989586621679430447 $>@#@$$$ a6989586621679430448 = ($>) a6989586621679430447 a6989586621679430448

data (<$>@#@$) :: (~>) ((~>) a b) ((~>) (f a) (f b)) infixl 4

Instances

SFunctor f => SingI ((<$>@#@$) :: TyFun (a ~> b) (f a ~> f b) -> Type)

Defined in Data.Functor.Singletons

Methods

sing :: Sing (<$>@#@$)

SuppressUnusedWarnings ((<$>@#@$) :: TyFun (a ~> b) (f a ~> f b) -> Type)

Defined in Data.Functor.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply ((<$>@#@$) :: TyFun (a ~> b) (f a ~> f b) -> Type) (a6989586621679430465 :: a ~> b)

Defined in Data.Functor.Singletons

type Apply ((<$>@#@$) :: TyFun (a ~> b) (f a ~> f b) -> Type) (a6989586621679430465 :: a ~> b) = (<$>@#@$$) a6989586621679430465 :: TyFun (f a) (f b) -> Type

data (<$>@#@$$) (a6989586621679430465 :: (~>) a b) :: (~>) (f a) (f b) infixl 4

Instances

SFunctor f => SingI1 ((<$>@#@$$) :: (a ~> b) -> TyFun (f a) (f b) -> Type)

Defined in Data.Functor.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing ((<$>@#@$$) x)

(SFunctor f, SingI d) => SingI ((<$>@#@$$) d :: TyFun (f a) (f b) -> Type)

Defined in Data.Functor.Singletons

Methods

sing :: Sing ((<$>@#@$$) d)

SuppressUnusedWarnings ((<$>@#@$$) a6989586621679430465 :: TyFun (f a) (f b) -> Type)

Defined in Data.Functor.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply ((<$>@#@$$) a6989586621679430465 :: TyFun (f a) (f b) -> Type) (a6989586621679430466 :: f a)

Defined in Data.Functor.Singletons

type Apply ((<$>@#@$$) a6989586621679430465 :: TyFun (f a) (f b) -> Type) (a6989586621679430466 :: f a) = a6989586621679430465 <$> a6989586621679430466

type family (a6989586621679430465 :: (~>) a b) <$>@#@$$$ (a6989586621679430466 :: f a) :: f b where ... infixl 4

Equations

a6989586621679430465 <$>@#@$$$ a6989586621679430466 = (<$>) a6989586621679430465 a6989586621679430466

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

Instances

SFunctor f => SingI ((<&>@#@$) :: TyFun (f a) ((a ~> b) ~> f b) -> Type)

Defined in Data.Functor.Singletons

Methods

sing :: Sing (<&>@#@$)

SuppressUnusedWarnings ((<&>@#@$) :: TyFun (f a) ((a ~> b) ~> f b) -> Type)

Defined in Data.Functor.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply ((<&>@#@$) :: TyFun (f a) ((a ~> b) ~> f b) -> Type) (a6989586621679430454 :: f a)

Defined in Data.Functor.Singletons

type Apply ((<&>@#@$) :: TyFun (f a) ((a ~> b) ~> f b) -> Type) (a6989586621679430454 :: f a) = (<&>@#@$$) a6989586621679430454 :: TyFun (a ~> b) (f b) -> Type

data (<&>@#@$$) (a6989586621679430454 :: f a) :: (~>) ((~>) a b) (f b) infixl 1

Instances

SFunctor f => SingI1 ((<&>@#@$$) :: f a -> TyFun (a ~> b) (f b) -> Type)

Defined in Data.Functor.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing ((<&>@#@$$) x)

(SFunctor f, SingI d) => SingI ((<&>@#@$$) d :: TyFun (a ~> b) (f b) -> Type)

Defined in Data.Functor.Singletons

Methods

sing :: Sing ((<&>@#@$$) d)

SuppressUnusedWarnings ((<&>@#@$$) a6989586621679430454 :: TyFun (a ~> b) (f b) -> Type)

Defined in Data.Functor.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply ((<&>@#@$$) a6989586621679430454 :: TyFun (a ~> b) (f b) -> Type) (a6989586621679430455 :: a ~> b)

Defined in Data.Functor.Singletons

type Apply ((<&>@#@$$) a6989586621679430454 :: TyFun (a ~> b) (f b) -> Type) (a6989586621679430455 :: a ~> b) = a6989586621679430454 <&> a6989586621679430455

type family (a6989586621679430454 :: f a) <&>@#@$$$ (a6989586621679430455 :: (~>) a b) :: f b where ... infixl 1

Equations

a6989586621679430454 <&>@#@$$$ a6989586621679430455 = (<&>) a6989586621679430454 a6989586621679430455

data VoidSym0 :: (~>) (f a) (f ())

Instances

SFunctor f => SingI (VoidSym0 :: TyFun (f a) (f ()) -> Type)

Defined in Data.Functor.Singletons

Methods

sing :: Sing VoidSym0

SuppressUnusedWarnings (VoidSym0 :: TyFun (f a) (f ()) -> Type)

Defined in Data.Functor.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (VoidSym0 :: TyFun (f a) (f ()) -> Type) (a6989586621679430438 :: f a)

Defined in Data.Functor.Singletons

type Apply (VoidSym0 :: TyFun (f a) (f ()) -> Type) (a6989586621679430438 :: f a) = Void a6989586621679430438

type family VoidSym1 (a6989586621679430438 :: f a) :: f () where ...

Equations

VoidSym1 a6989586621679430438 = Void a6989586621679430438

Orphan instances

PFunctor Down

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

SFunctor Down

Methods

sFmap :: forall a b (t1 :: a ~> b) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a b (t1 :: a) (t2 :: Down b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)

PFunctor ((,) a)

Associated Types

type Fmap arg arg1 :: f b

type arg <$ arg1 :: f a

SFunctor ((,) a)

Methods

sFmap :: forall a0 b (t1 :: a0 ~> b) (t2 :: (a, a0)). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2)

(%<$) :: forall a0 b (t1 :: a0) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2)