Copyright	(C) 2018 Ryan Scott
License	BSD-style (see LICENSE)
Maintainer	Ryan Scott
Stability	experimental
Portability	non-portable
Safe Haskell	Safe-Inferred
Language	GHC2021

Control.Applicative.Singletons

Contents

Defunctionalization symbols
Orphan instances

Description

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

Synopsis

class PApplicative f where
- type Pure (arg :: a) :: f a
- type (arg :: f ((~>) a b)) <*> (arg :: f a) :: f b
- type LiftA2 (arg :: (~>) a ((~>) b c)) (arg :: f a) (arg :: f b) :: f c
- type (arg :: f a) *> (arg :: f b) :: f b
- type (arg :: f a) <* (arg :: f b) :: f a
class SFunctor f => SApplicative f where
- sPure :: forall (t :: a). Sing t -> Sing (Apply PureSym0 t :: f a) :: Type
- (%<*>) :: forall (t :: f ((~>) a b)) (t :: f a). Sing t -> Sing t -> Sing (Apply (Apply (<*>@#@$) t) t :: f b) :: Type
- sLiftA2 :: forall (t :: (~>) a ((~>) b c)) (t :: f a) (t :: f b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t :: f c) :: Type
- (%*>) :: forall (t :: f a) (t :: f b). Sing t -> Sing t -> Sing (Apply (Apply (*>@#@$) t) t :: f b) :: Type
- (%<*) :: forall (t :: f a) (t :: f b). Sing t -> Sing t -> Sing (Apply (Apply (<*@#@$) t) t :: f a) :: Type
class PAlternative f where
- type Empty :: f a
- type (arg :: f a) <|> (arg :: f a) :: f a
class SApplicative f => SAlternative f where
- sEmpty :: Sing (EmptySym0 :: f a) :: Type
- (%<|>) :: forall (t :: f a) (t :: f a). Sing t -> Sing t -> Sing (Apply (Apply (<|>@#@$) t) t :: f a) :: Type
type family Sing :: k -> Type
data SConst :: Const a b -> Type where
- SConst :: forall {k} a (b :: k) (x :: a). Sing x -> SConst ('Const @a @b x)
data Const a (b :: k)
type family GetConst (a :: Const a b) :: a where ...
sGetConst :: forall (t :: Const a b). Sing t -> Sing (Apply GetConstSym0 t :: a) :: Type
type family (a :: (~>) a b) <$> (a :: f a) :: f b where ...
(%<$>) :: forall (t :: (~>) a b) (t :: f a). SFunctor f => Sing t -> Sing t -> Sing (Apply (Apply (<$>@#@$) t) t :: f b) :: Type
type family (arg :: a) <$ (arg :: f b) :: f a
(%<$) :: SFunctor f => forall (t :: a) (t :: f b). Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t :: f a) :: Type
type family (a :: f a) <**> (a :: f ((~>) a b)) :: f b where ...
(%<**>) :: forall (t :: f a) (t :: f ((~>) a b)). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply (<**>@#@$) t) t :: f b) :: Type
type family LiftA (a :: (~>) a b) (a :: f a) :: f b where ...
sLiftA :: forall (t :: (~>) a b) (t :: f a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply LiftASym0 t) t :: f b) :: Type
type family LiftA3 (a :: (~>) a ((~>) b ((~>) c d))) (a :: f a) (a :: f b) (a :: f c) :: f d where ...
sLiftA3 :: forall (t :: (~>) a ((~>) b ((~>) c d))) (t :: f a) (t :: f b) (t :: f c). SApplicative f => Sing t -> Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply (Apply LiftA3Sym0 t) t) t) t :: f d) :: Type
type family Optional (a :: f a) :: f (Maybe a) where ...
sOptional :: forall (t :: f a). SAlternative f => Sing t -> Sing (Apply OptionalSym0 t :: f (Maybe a)) :: Type
data PureSym0 :: (~>) a (f a)
type family PureSym1 (a6989586621679362331 :: a) :: f a where ...
data (<*>@#@$) :: (~>) (f ((~>) a b)) ((~>) (f a) (f b))
data (<*>@#@$$) (a6989586621679362335 :: f ((~>) a b)) :: (~>) (f a) (f b)
type family (a6989586621679362335 :: f ((~>) a b)) <*>@#@$$$ (a6989586621679362336 :: f a) :: f b where ...
data (*>@#@$) :: (~>) (f a) ((~>) (f b) (f b))
data (*>@#@$$) (a6989586621679362347 :: f a) :: (~>) (f b) (f b)
type family (a6989586621679362347 :: f a) *>@#@$$$ (a6989586621679362348 :: f b) :: f b where ...
data (<*@#@$) :: (~>) (f a) ((~>) (f b) (f a))
data (<*@#@$$) (a6989586621679362352 :: f a) :: (~>) (f b) (f a)
type family (a6989586621679362352 :: f a) <*@#@$$$ (a6989586621679362353 :: f b) :: f a where ...
type family EmptySym0 :: f a where ...
data (<|>@#@$) :: (~>) (f a) ((~>) (f a) (f a))
data (<|>@#@$$) (a6989586621679362456 :: f a) :: (~>) (f a) (f a)
type family (a6989586621679362456 :: f a) <|>@#@$$$ (a6989586621679362457 :: f a) :: f a where ...
data ConstSym0 z
type family ConstSym1 x where ...
data GetConstSym0 :: (~>) (Const a b) a
type family GetConstSym1 (a6989586621680716643 :: Const a b) :: a where ...
data (<$>@#@$) :: (~>) ((~>) a b) ((~>) (f a) (f b))
data (<$>@#@$$) (a6989586621679551399 :: (~>) a b) :: (~>) (f a) (f b)
type family (a6989586621679551399 :: (~>) a b) <$>@#@$$$ (a6989586621679551400 :: f a) :: f b where ...
data (<$@#@$) :: (~>) a ((~>) (f b) (f a))
data (<$@#@$$) (a6989586621679362312 :: a) :: (~>) (f b) (f a)
type family (a6989586621679362312 :: a) <$@#@$$$ (a6989586621679362313 :: f b) :: f a where ...
data (<**>@#@$) :: (~>) (f a) ((~>) (f ((~>) a b)) (f b))
data (<**>@#@$$) (a6989586621679362295 :: f a) :: (~>) (f ((~>) a b)) (f b)
type family (a6989586621679362295 :: f a) <**>@#@$$$ (a6989586621679362296 :: f ((~>) a b)) :: f b where ...
data LiftASym0 :: (~>) ((~>) a b) ((~>) (f a) (f b))
data LiftASym1 (a6989586621679362284 :: (~>) a b) :: (~>) (f a) (f b)
type family LiftASym2 (a6989586621679362284 :: (~>) a b) (a6989586621679362285 :: f a) :: f b where ...
data LiftA2Sym0 :: (~>) ((~>) a ((~>) b c)) ((~>) (f a) ((~>) (f b) (f c)))
data LiftA2Sym1 (a6989586621679362341 :: (~>) a ((~>) b c)) :: (~>) (f a) ((~>) (f b) (f c))
data LiftA2Sym2 (a6989586621679362341 :: (~>) a ((~>) b c)) (a6989586621679362342 :: f a) :: (~>) (f b) (f c)
type family LiftA2Sym3 (a6989586621679362341 :: (~>) a ((~>) b c)) (a6989586621679362342 :: f a) (a6989586621679362343 :: f b) :: f c where ...
data LiftA3Sym0 :: (~>) ((~>) a ((~>) b ((~>) c d))) ((~>) (f a) ((~>) (f b) ((~>) (f c) (f d))))
data LiftA3Sym1 (a6989586621679362273 :: (~>) a ((~>) b ((~>) c d))) :: (~>) (f a) ((~>) (f b) ((~>) (f c) (f d)))
data LiftA3Sym2 (a6989586621679362273 :: (~>) a ((~>) b ((~>) c d))) (a6989586621679362274 :: f a) :: (~>) (f b) ((~>) (f c) (f d))
data LiftA3Sym3 (a6989586621679362273 :: (~>) a ((~>) b ((~>) c d))) (a6989586621679362274 :: f a) (a6989586621679362275 :: f b) :: (~>) (f c) (f d)
data OptionalSym0 :: (~>) (f a) (f (Maybe a))
type family OptionalSym1 (a6989586621681095066 :: f a) :: f (Maybe a) where ...

Documentation

class PApplicative f Source #

Associated Types

type Pure (arg :: a) :: f a Source #

type (arg :: f ((~>) a b)) <*> (arg :: f a) :: f b infixl 4 Source #

type a <*> a = Apply (Apply TFHelper_6989586621679362356Sym0 a) a

type LiftA2 (arg :: (~>) a ((~>) b c)) (arg :: f a) (arg :: f b) :: f c Source #

type LiftA2 a a a = Apply (Apply (Apply LiftA2_6989586621679362372Sym0 a) a) a

type (arg :: f a) *> (arg :: f b) :: f b infixl 4 Source #

type a *> a = Apply (Apply TFHelper_6989586621679362388Sym0 a) a

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

type a <* a = Apply (Apply TFHelper_6989586621679362399Sym0 a) a

Instances

Instances details

PApplicative Identity Source #
Instance details Defined in Data.Functor.Identity.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative First Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative Last Source #
Instance details Defined in Data.Monoid.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative Down Source #
Instance details Defined in Control.Applicative.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative First Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative Last Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative Max Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative Min Source #
Instance details Defined in Data.Semigroup.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative Dual Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative Product Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative Sum Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative NonEmpty Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative Maybe Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative List Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative (Either e) Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative (Proxy :: Type -> Type) Source #
Instance details Defined in Data.Proxy.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative ((,) a) Source #
Instance details Defined in Control.Applicative.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative (Const m :: Type -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative (Product f g) Source #
Instance details Defined in Data.Functor.Product.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PApplicative (Compose f g) Source #
Instance details Defined in Data.Functor.Compose.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #

class SFunctor f => SApplicative f where Source #

Minimal complete definition

sPure

Methods

sPure :: forall (t :: a). Sing t -> Sing (Apply PureSym0 t :: f a) :: Type Source #

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

default (%<*>) :: forall (t :: f ((~>) a b)) (t :: f a). (Apply (Apply (<*>@#@$) t) t :: f b) ~ Apply (Apply TFHelper_6989586621679362356Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<*>@#@$) t) t :: f b) :: Type Source #

sLiftA2 :: forall (t :: (~>) a ((~>) b c)) (t :: f a) (t :: f b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t :: f c) :: Type Source #

default sLiftA2 :: forall (t :: (~>) a ((~>) b c)) (t :: f a) (t :: f b). (Apply (Apply (Apply LiftA2Sym0 t) t) t :: f c) ~ Apply (Apply (Apply LiftA2_6989586621679362372Sym0 t) t) t => Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t :: f c) :: Type Source #

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

default (%*>) :: forall (t :: f a) (t :: f b). (Apply (Apply (*>@#@$) t) t :: f b) ~ Apply (Apply TFHelper_6989586621679362388Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (*>@#@$) t) t :: f b) :: Type Source #

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

default (%<*) :: forall (t :: f a) (t :: f b). (Apply (Apply (<*@#@$) t) t :: f a) ~ Apply (Apply TFHelper_6989586621679362399Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<*@#@$) t) t :: f a) :: Type Source #

Instances

Instances details

SApplicative Identity Source #
Instance details Defined in Data.Functor.Identity.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Identity (a ~> b)) (t2 :: Identity a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Identity a) (t3 :: Identity b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Identity a) (t2 :: Identity b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Identity a) (t2 :: Identity b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative First Source #
Instance details Defined in Data.Monoid.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: First (a ~> b)) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: First a) (t3 :: First b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: First a) (t2 :: First b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: First a) (t2 :: First b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative Last Source #
Instance details Defined in Data.Monoid.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Last (a ~> b)) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Last a) (t3 :: Last b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Last a) (t2 :: Last b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Last a) (t2 :: Last b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative Down Source #
Instance details Defined in Control.Applicative.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Down (a ~> b)) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Down a) (t3 :: Down b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Down a) (t2 :: Down b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Down a) (t2 :: Down b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative First Source #
Instance details Defined in Data.Semigroup.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: First (a ~> b)) (t2 :: First a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: First a) (t3 :: First b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: First a) (t2 :: First b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: First a) (t2 :: First b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative Last Source #
Instance details Defined in Data.Semigroup.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Last (a ~> b)) (t2 :: Last a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Last a) (t3 :: Last b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Last a) (t2 :: Last b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Last a) (t2 :: Last b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative Max Source #
Instance details Defined in Data.Semigroup.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Max (a ~> b)) (t2 :: Max a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Max a) (t3 :: Max b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Max a) (t2 :: Max b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Max a) (t2 :: Max b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative Min Source #
Instance details Defined in Data.Semigroup.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Min (a ~> b)) (t2 :: Min a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Min a) (t3 :: Min b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Min a) (t2 :: Min b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Min a) (t2 :: Min b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative Dual Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Dual (a ~> b)) (t2 :: Dual a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Dual a) (t3 :: Dual b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Dual a) (t2 :: Dual b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Dual a) (t2 :: Dual b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative Product Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Product (a ~> b)) (t2 :: Product a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Product a) (t3 :: Product b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Product a) (t2 :: Product b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Product a) (t2 :: Product b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative Sum Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Sum (a ~> b)) (t2 :: Sum a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Sum a) (t3 :: Sum b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Sum a) (t2 :: Sum b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Sum a) (t2 :: Sum b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative NonEmpty Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: NonEmpty (a ~> b)) (t2 :: NonEmpty a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: NonEmpty a) (t3 :: NonEmpty b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: NonEmpty a) (t2 :: NonEmpty b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: NonEmpty a) (t2 :: NonEmpty b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative Maybe Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Maybe (a ~> b)) (t2 :: Maybe a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Maybe a) (t3 :: Maybe b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Maybe a) (t2 :: Maybe b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Maybe a) (t2 :: Maybe b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative List Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: [a ~> b]) (t2 :: [a]). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: [a]) (t3 :: [b]). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: [a]) (t2 :: [b]). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: [a]) (t2 :: [b]). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative (Either e) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Either e (a ~> b)) (t2 :: Either e a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Either e a) (t3 :: Either e b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Either e a) (t2 :: Either e b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Either e a) (t2 :: Either e b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SApplicative (Proxy :: Type -> Type) Source #
Instance details Defined in Data.Proxy.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Proxy (a ~> b)) (t2 :: Proxy a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Proxy a) (t3 :: Proxy b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Proxy a) (t2 :: Proxy b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Proxy a) (t2 :: Proxy b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SMonoid a => SApplicative ((,) a) Source #
Instance details Defined in Control.Applicative.Singletons Methods sPure :: forall a0 (t :: a0). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a0 b (t1 :: (a, a0 ~> b)) (t2 :: (a, a0)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a0 b c (t1 :: a0 ~> (b ~> c)) (t2 :: (a, a0)) (t3 :: (a, b)). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a0 b (t1 :: (a, a0)) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a0 b (t1 :: (a, a0)) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SMonoid m => SApplicative (Const m :: Type -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Const m (a ~> b)) (t2 :: Const m a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Const m a) (t3 :: Const m b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Const m a) (t2 :: Const m b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Const m a) (t2 :: Const m b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
(SApplicative f, SApplicative g) => SApplicative (Product f g) Source #
Instance details Defined in Data.Functor.Product.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Product f g (a ~> b)) (t2 :: Product f g a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Product f g a) (t3 :: Product f g b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Product f g a) (t2 :: Product f g b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Product f g a) (t2 :: Product f g b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
(SApplicative f, SApplicative g) => SApplicative (Compose f g) Source #
Instance details Defined in Data.Functor.Compose.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Compose f g (a ~> b)) (t2 :: Compose f g a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Compose f g a) (t3 :: Compose f g b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Compose f g a) (t2 :: Compose f g b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Compose f g a) (t2 :: Compose f g b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #

class PAlternative f Source #

Associated Types

type Empty :: f a Source #

type (arg :: f a) <|> (arg :: f a) :: f a infixl 3 Source #

Instances

Instances details

PAlternative Maybe Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Empty :: f a Source # type arg <\|> arg1 :: f a Source #
PAlternative List Source #
Instance details Defined in Control.Monad.Singletons.Internal Associated Types type Empty :: f a Source # type arg <\|> arg1 :: f a Source #
PAlternative (Proxy :: k -> Type) Source #
Instance details Defined in Data.Proxy.Singletons Associated Types type Empty :: f a Source # type arg <\|> arg1 :: f a Source #
PAlternative (Product f g :: k -> Type) Source #
Instance details Defined in Data.Functor.Product.Singletons Associated Types type Empty :: f a Source # type arg <\|> arg1 :: f a Source #
PAlternative (Compose f g :: k2 -> Type) Source #
Instance details Defined in Data.Functor.Compose.Singletons Associated Types type Empty :: f a Source # type arg <\|> arg1 :: f a Source #

class SApplicative f => SAlternative f where Source #

Methods

sEmpty :: Sing (EmptySym0 :: f a) :: Type Source #

(%<|>) :: forall (t :: f a) (t :: f a). Sing t -> Sing t -> Sing (Apply (Apply (<|>@#@$) t) t :: f a) :: Type infixl 3 Source #

Instances

Instances details

SAlternative Maybe Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sEmpty :: Sing EmptySym0 Source # (%<\|>) :: forall a (t1 :: Maybe a) (t2 :: Maybe a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<\|>@#@$) t1) t2) Source #
SAlternative List Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sEmpty :: Sing EmptySym0 Source # (%<\|>) :: forall a (t1 :: [a]) (t2 :: [a]). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<\|>@#@$) t1) t2) Source #
SAlternative (Proxy :: Type -> Type) Source #
Instance details Defined in Data.Proxy.Singletons Methods sEmpty :: Sing EmptySym0 Source # (%<\|>) :: forall a (t1 :: Proxy a) (t2 :: Proxy a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<\|>@#@$) t1) t2) Source #
(SAlternative f, SAlternative g) => SAlternative (Product f g) Source #
Instance details Defined in Data.Functor.Product.Singletons Methods sEmpty :: Sing EmptySym0 Source # (%<\|>) :: forall a (t1 :: Product f g a) (t2 :: Product f g a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<\|>@#@$) t1) t2) Source #
(SAlternative f, SApplicative g) => SAlternative (Compose f g) Source #
Instance details Defined in Data.Functor.Compose.Singletons Methods sEmpty :: Sing EmptySym0 Source # (%<\|>) :: forall a (t1 :: Compose f g a) (t2 :: Compose f g a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<\|>@#@$) t1) t2) Source #

type family Sing :: k -> Type Source #

The singleton kind-indexed type family.

Instances

Instances details

type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SAll
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SAny
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SVoid
type Sing Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Sing = SNat
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SOrdering
type Sing Source #
Instance details Defined in Data.Singletons.Base.TypeError type Sing = SErrorMessage
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple0
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SBool
type Sing Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Sing = SChar
type Sing Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Sing = SSymbol
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SIdentity :: Identity a -> Type
type Sing Source #
Instance details Defined in Data.Monoid.Singletons type Sing = SFirst :: First a -> Type
type Sing Source #
Instance details Defined in Data.Monoid.Singletons type Sing = SLast :: Last a -> Type
type Sing Source #
Instance details Defined in Data.Ord.Singletons type Sing = SDown :: Down a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SFirst :: First a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SLast :: Last a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SMax :: Max a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SMin :: Min a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SWrappedMonoid :: WrappedMonoid m -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SDual :: Dual a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SProduct :: Product a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type Sing = SSum :: Sum a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SNonEmpty :: NonEmpty a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SMaybe :: Maybe a -> Type
type Sing Source #	A choice of singleton for the kind `TYPE rep` (for some `RuntimeRep` `rep`), an instantiation of which is the famous kind `Type`. Conceivably, one could generalize this instance to `Sing @k` for any kind `k`, and remove all other `Sing` instances. We don't adopt this design, however, since it is far more convenient in practice to work with explicit singleton values than `TypeRep`s (for instance, `TypeRep`s are more difficult to pattern match on, and require extra runtime checks). We cannot produce explicit singleton values for everything in `TYPE rep`, however, since it is an open kind, so we reach for `TypeRep` in this one particular case.
Instance details Defined in Data.Singletons.Base.TypeRepTYPE type Sing = TypeRep :: TYPE rep -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SList :: [a] -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SEither :: Either a b -> Type
type Sing Source #
Instance details Defined in Data.Proxy.Singletons type Sing = SProxy :: Proxy t -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons type Sing = SArg :: Arg a b -> Type
type Sing
Instance details Defined in Data.Singletons type Sing = SWrappedSing :: WrappedSing a -> Type
type Sing
Instance details Defined in Data.Singletons type Sing = SLambda :: (k1 ~> k2) -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple2 :: (a, b) -> Type
type Sing Source #
Instance details Defined in Data.Functor.Const.Singletons type Sing = SConst :: Const a b -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple3 :: (a, b, c) -> Type
type Sing Source #
Instance details Defined in Data.Functor.Product.Singletons type Sing = SProduct :: Product f g a -> Type
type Sing Source #
Instance details Defined in Data.Functor.Sum.Singletons type Sing = SSum :: Sum f g a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple4 :: (a, b, c, d) -> Type
type Sing Source #
Instance details Defined in Data.Functor.Compose.Singletons type Sing = SCompose :: Compose f g a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple5 :: (a, b, c, d, e) -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple6 :: (a, b, c, d, e, f) -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple7 :: (a, b, c, d, e, f, g) -> Type

data SConst :: Const a b -> Type where Source #

Constructors

SConst :: forall {k} a (b :: k) (x :: a). Sing x -> SConst ('Const @a @b x)

Instances

Instances details

SDecide a => TestCoercion (SConst :: Const a b -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods testCoercion :: forall (a0 :: k) (b0 :: k). SConst a0 -> SConst b0 -> Maybe (Coercion a0 b0) #
SDecide a => TestEquality (SConst :: Const a b -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods testEquality :: forall (a0 :: k) (b0 :: k). SConst a0 -> SConst b0 -> Maybe (a0 :~: b0) #

data Const a (b :: k) #

The Const functor.

Instances

Instances details

Generic1 (Const a :: k -> Type)
Instance details Defined in Data.Functor.Const Associated Types type Rep1 (Const a) :: k -> Type # Methods from1 :: forall (a0 :: k0). Const a a0 -> Rep1 (Const a) a0 # to1 :: forall (a0 :: k0). Rep1 (Const a) a0 -> Const a a0 #
SingI1 ('Const :: k1 -> Const k1 b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods liftSing :: forall (x :: k10). Sing x -> Sing ('Const x) Source #
Eq2 (Const :: Type -> Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> Const a c -> Const b d -> Bool #
Ord2 (Const :: Type -> Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> Const a c -> Const b d -> Ordering #
Read2 (Const :: Type -> Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (Const a b) # liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Const a b] # liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (Const a b) # liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [Const a b] #
Show2 (Const :: Type -> Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> Const a b -> ShowS # liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [Const a b] -> ShowS #
NFData2 (Const :: Type -> Type -> Type)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf2 :: (a -> ()) -> (b -> ()) -> Const a b -> () #
Hashable2 (Const :: Type -> Type -> Type)
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt2 :: (Int -> a -> Int) -> (Int -> b -> Int) -> Int -> Const a b -> Int Source #
Foldable (Const m :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Functor.Const Methods fold :: Monoid m0 => Const m m0 -> m0 # foldMap :: Monoid m0 => (a -> m0) -> Const m a -> m0 # foldMap' :: Monoid m0 => (a -> m0) -> Const m a -> m0 # foldr :: (a -> b -> b) -> b -> Const m a -> b # foldr' :: (a -> b -> b) -> b -> Const m a -> b # foldl :: (b -> a -> b) -> b -> Const m a -> b # foldl' :: (b -> a -> b) -> b -> Const m a -> b # foldr1 :: (a -> a -> a) -> Const m a -> a # foldl1 :: (a -> a -> a) -> Const m a -> a # toList :: Const m a -> [a] # null :: Const m a -> Bool # length :: Const m a -> Int # elem :: Eq a => a -> Const m a -> Bool # maximum :: Ord a => Const m a -> a # minimum :: Ord a => Const m a -> a # sum :: Num a => Const m a -> a # product :: Num a => Const m a -> a #
Eq a => Eq1 (Const a :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftEq :: (a0 -> b -> Bool) -> Const a a0 -> Const a b -> Bool #
Ord a => Ord1 (Const a :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftCompare :: (a0 -> b -> Ordering) -> Const a a0 -> Const a b -> Ordering #
Read a => Read1 (Const a :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a0) -> ReadS [a0] -> Int -> ReadS (Const a a0) # liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [Const a a0] # liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (Const a a0) # liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [Const a a0] #
Show a => Show1 (Const a :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftShowsPrec :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> Int -> Const a a0 -> ShowS # liftShowList :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> [Const a a0] -> ShowS #
Traversable (Const m :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Const m a -> f (Const m b) # sequenceA :: Applicative f => Const m (f a) -> f (Const m a) # mapM :: Monad m0 => (a -> m0 b) -> Const m a -> m0 (Const m b) # sequence :: Monad m0 => Const m (m0 a) -> m0 (Const m a) #
Monoid m => Applicative (Const m :: Type -> Type)	Since: base-2.0.1
Instance details Defined in Data.Functor.Const Methods pure :: a -> Const m a # (<>) :: Const m (a -> b) -> Const m a -> Const m b # liftA2 :: (a -> b -> c) -> Const m a -> Const m b -> Const m c # (>) :: Const m a -> Const m b -> Const m b # (<*) :: Const m a -> Const m b -> Const m a #
Functor (Const m :: Type -> Type)	Since: base-2.1
Instance details Defined in Data.Functor.Const Methods fmap :: (a -> b) -> Const m a -> Const m b # (<$) :: a -> Const m b -> Const m a #
NFData a => NFData1 (Const a :: Type -> Type)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a0 -> ()) -> Const a a0 -> () #
Hashable a => Hashable1 (Const a :: Type -> Type)
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt :: (Int -> a0 -> Int) -> Int -> Const a a0 -> Int Source #
PApplicative (Const m :: Type -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
PFunctor (Const m :: Type -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type Fmap arg arg1 :: f b Source # type arg <$ arg1 :: f a Source #
SMonoid m => SApplicative (Const m :: Type -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Const m (a ~> b)) (t2 :: Const m a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Const m a) (t3 :: Const m b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Const m a) (t2 :: Const m b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Const m a) (t2 :: Const m b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
SFunctor (Const m :: Type -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sFmap :: forall a b (t1 :: a ~> b) (t2 :: Const m a). Sing t1 -> Sing t2 -> Sing (Apply (Apply FmapSym0 t1) t2) Source # (%<$) :: forall a b (t1 :: a) (t2 :: Const m b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<$@#@$) t1) t2) Source #
PFoldable (Const m :: Type -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type Fold arg :: m Source # type FoldMap arg arg1 :: m Source # type Foldr arg arg1 arg2 :: b Source # type Foldr' arg arg1 arg2 :: b Source # type Foldl arg arg1 arg2 :: b Source # type Foldl' arg arg1 arg2 :: b Source # type Foldr1 arg arg1 :: a Source # type Foldl1 arg arg1 :: a Source # type ToList arg :: [a] Source # type Null arg :: Bool Source # type Length arg :: Natural Source # type Elem arg arg1 :: Bool Source # type Maximum arg :: a Source # type Minimum arg :: a Source # type Sum arg :: a Source # type Product arg :: a Source #
SFoldable (Const m :: Type -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sFold :: forall m0 (t1 :: Const m m0). SMonoid m0 => Sing t1 -> Sing (Apply FoldSym0 t1) Source # sFoldMap :: forall a m0 (t1 :: a ~> m0) (t2 :: Const m a). SMonoid m0 => Sing t1 -> Sing t2 -> Sing (Apply (Apply FoldMapSym0 t1) t2) Source # sFoldr :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Const m a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldrSym0 t1) t2) t3) Source # sFoldr' :: forall a b (t1 :: a ~> (b ~> b)) (t2 :: b) (t3 :: Const m a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldr'Sym0 t1) t2) t3) Source # sFoldl :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Const m a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply FoldlSym0 t1) t2) t3) Source # sFoldl' :: forall b a (t1 :: b ~> (a ~> b)) (t2 :: b) (t3 :: Const m a). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply Foldl'Sym0 t1) t2) t3) Source # sFoldr1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Const m a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldr1Sym0 t1) t2) Source # sFoldl1 :: forall a (t1 :: a ~> (a ~> a)) (t2 :: Const m a). Sing t1 -> Sing t2 -> Sing (Apply (Apply Foldl1Sym0 t1) t2) Source # sToList :: forall a (t1 :: Const m a). Sing t1 -> Sing (Apply ToListSym0 t1) Source # sNull :: forall a (t1 :: Const m a). Sing t1 -> Sing (Apply NullSym0 t1) Source # sLength :: forall a (t1 :: Const m a). Sing t1 -> Sing (Apply LengthSym0 t1) Source # sElem :: forall a (t1 :: a) (t2 :: Const m a). SEq a => Sing t1 -> Sing t2 -> Sing (Apply (Apply ElemSym0 t1) t2) Source # sMaximum :: forall a (t1 :: Const m a). SOrd a => Sing t1 -> Sing (Apply MaximumSym0 t1) Source # sMinimum :: forall a (t1 :: Const m a). SOrd a => Sing t1 -> Sing (Apply MinimumSym0 t1) Source # sSum :: forall a (t1 :: Const m a). SNum a => Sing t1 -> Sing (Apply SumSym0 t1) Source # sProduct :: forall a (t1 :: Const m a). SNum a => Sing t1 -> Sing (Apply ProductSym0 t1) Source #
PTraversable (Const m :: Type -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Associated Types type Traverse arg arg1 :: f (t b) Source # type SequenceA arg :: f (t a) Source # type MapM arg arg1 :: m (t b) Source # type Sequence arg :: m (t a) Source #
STraversable (Const m :: Type -> Type) Source #
Instance details Defined in Data.Traversable.Singletons Methods sTraverse :: forall a (f :: Type -> Type) b (t1 :: a ~> f b) (t2 :: Const m a). SApplicative f => Sing t1 -> Sing t2 -> Sing (Apply (Apply TraverseSym0 t1) t2) Source # sSequenceA :: forall (f :: Type -> Type) a (t1 :: Const m (f a)). SApplicative f => Sing t1 -> Sing (Apply SequenceASym0 t1) Source # sMapM :: forall a (m0 :: Type -> Type) b (t1 :: a ~> m0 b) (t2 :: Const m a). SMonad m0 => Sing t1 -> Sing t2 -> Sing (Apply (Apply MapMSym0 t1) t2) Source # sSequence :: forall (m0 :: Type -> Type) a (t1 :: Const m (m0 a)). SMonad m0 => Sing t1 -> Sing (Apply SequenceSym0 t1) Source #
SingI (GetConstSym0 :: TyFun (Const a b) a -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sing :: Sing GetConstSym0 Source #
SingI (ConstSym0 :: TyFun a (Const a b) -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sing :: Sing ConstSym0 Source #
SuppressUnusedWarnings (GetConstSym0 :: TyFun (Const a b) a -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods suppressUnusedWarnings :: () Source #
IsString a => IsString (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.String Methods fromString :: String -> Const a b #
Storable a => Storable (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods sizeOf :: Const a b -> Int # alignment :: Const a b -> Int # peekElemOff :: Ptr (Const a b) -> Int -> IO (Const a b) # pokeElemOff :: Ptr (Const a b) -> Int -> Const a b -> IO () # peekByteOff :: Ptr b0 -> Int -> IO (Const a b) # pokeByteOff :: Ptr b0 -> Int -> Const a b -> IO () # peek :: Ptr (Const a b) -> IO (Const a b) # poke :: Ptr (Const a b) -> Const a b -> IO () #
Monoid a => Monoid (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods mempty :: Const a b # mappend :: Const a b -> Const a b -> Const a b # mconcat :: [Const a b] -> Const a b #
Semigroup a => Semigroup (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (<>) :: Const a b -> Const a b -> Const a b # sconcat :: NonEmpty (Const a b) -> Const a b # stimes :: Integral b0 => b0 -> Const a b -> Const a b #
Bits a => Bits (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (.&.) :: Const a b -> Const a b -> Const a b # (.\|.) :: Const a b -> Const a b -> Const a b # xor :: Const a b -> Const a b -> Const a b # complement :: Const a b -> Const a b # shift :: Const a b -> Int -> Const a b # rotate :: Const a b -> Int -> Const a b # zeroBits :: Const a b # bit :: Int -> Const a b # setBit :: Const a b -> Int -> Const a b # clearBit :: Const a b -> Int -> Const a b # complementBit :: Const a b -> Int -> Const a b # testBit :: Const a b -> Int -> Bool # bitSizeMaybe :: Const a b -> Maybe Int # bitSize :: Const a b -> Int # isSigned :: Const a b -> Bool # shiftL :: Const a b -> Int -> Const a b # unsafeShiftL :: Const a b -> Int -> Const a b # shiftR :: Const a b -> Int -> Const a b # unsafeShiftR :: Const a b -> Int -> Const a b # rotateL :: Const a b -> Int -> Const a b # rotateR :: Const a b -> Int -> Const a b # popCount :: Const a b -> Int #
FiniteBits a => FiniteBits (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods finiteBitSize :: Const a b -> Int # countLeadingZeros :: Const a b -> Int # countTrailingZeros :: Const a b -> Int #
Bounded a => Bounded (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods minBound :: Const a b # maxBound :: Const a b #
Enum a => Enum (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods succ :: Const a b -> Const a b # pred :: Const a b -> Const a b # toEnum :: Int -> Const a b # fromEnum :: Const a b -> Int # enumFrom :: Const a b -> [Const a b] # enumFromThen :: Const a b -> Const a b -> [Const a b] # enumFromTo :: Const a b -> Const a b -> [Const a b] # enumFromThenTo :: Const a b -> Const a b -> Const a b -> [Const a b] #
Floating a => Floating (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods pi :: Const a b # exp :: Const a b -> Const a b # log :: Const a b -> Const a b # sqrt :: Const a b -> Const a b # (**) :: Const a b -> Const a b -> Const a b # logBase :: Const a b -> Const a b -> Const a b # sin :: Const a b -> Const a b # cos :: Const a b -> Const a b # tan :: Const a b -> Const a b # asin :: Const a b -> Const a b # acos :: Const a b -> Const a b # atan :: Const a b -> Const a b # sinh :: Const a b -> Const a b # cosh :: Const a b -> Const a b # tanh :: Const a b -> Const a b # asinh :: Const a b -> Const a b # acosh :: Const a b -> Const a b # atanh :: Const a b -> Const a b # log1p :: Const a b -> Const a b # expm1 :: Const a b -> Const a b # log1pexp :: Const a b -> Const a b # log1mexp :: Const a b -> Const a b #
RealFloat a => RealFloat (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods floatRadix :: Const a b -> Integer # floatDigits :: Const a b -> Int # floatRange :: Const a b -> (Int, Int) # decodeFloat :: Const a b -> (Integer, Int) # encodeFloat :: Integer -> Int -> Const a b # exponent :: Const a b -> Int # significand :: Const a b -> Const a b # scaleFloat :: Int -> Const a b -> Const a b # isNaN :: Const a b -> Bool # isInfinite :: Const a b -> Bool # isDenormalized :: Const a b -> Bool # isNegativeZero :: Const a b -> Bool # isIEEE :: Const a b -> Bool # atan2 :: Const a b -> Const a b -> Const a b #
Generic (Const a b)
Instance details Defined in Data.Functor.Const Associated Types type Rep (Const a b) :: Type -> Type # Methods from :: Const a b -> Rep (Const a b) x # to :: Rep (Const a b) x -> Const a b #
Ix a => Ix (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods range :: (Const a b, Const a b) -> [Const a b] # index :: (Const a b, Const a b) -> Const a b -> Int # unsafeIndex :: (Const a b, Const a b) -> Const a b -> Int # inRange :: (Const a b, Const a b) -> Const a b -> Bool # rangeSize :: (Const a b, Const a b) -> Int # unsafeRangeSize :: (Const a b, Const a b) -> Int #
Num a => Num (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (+) :: Const a b -> Const a b -> Const a b # (-) :: Const a b -> Const a b -> Const a b # (*) :: Const a b -> Const a b -> Const a b # negate :: Const a b -> Const a b # abs :: Const a b -> Const a b # signum :: Const a b -> Const a b # fromInteger :: Integer -> Const a b #
Read a => Read (Const a b)	This instance would be equivalent to the derived instances of the `Const` newtype if the `getConst` field were removed Since: base-4.8.0.0
Instance details Defined in Data.Functor.Const Methods readsPrec :: Int -> ReadS (Const a b) # readList :: ReadS [Const a b] # readPrec :: ReadPrec (Const a b) # readListPrec :: ReadPrec [Const a b] #
Fractional a => Fractional (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (/) :: Const a b -> Const a b -> Const a b # recip :: Const a b -> Const a b # fromRational :: Rational -> Const a b #
Integral a => Integral (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods quot :: Const a b -> Const a b -> Const a b # rem :: Const a b -> Const a b -> Const a b # div :: Const a b -> Const a b -> Const a b # mod :: Const a b -> Const a b -> Const a b # quotRem :: Const a b -> Const a b -> (Const a b, Const a b) # divMod :: Const a b -> Const a b -> (Const a b, Const a b) # toInteger :: Const a b -> Integer #
Real a => Real (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods toRational :: Const a b -> Rational #
RealFrac a => RealFrac (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods properFraction :: Integral b0 => Const a b -> (b0, Const a b) # truncate :: Integral b0 => Const a b -> b0 # round :: Integral b0 => Const a b -> b0 # ceiling :: Integral b0 => Const a b -> b0 # floor :: Integral b0 => Const a b -> b0 #
Show a => Show (Const a b)	This instance would be equivalent to the derived instances of the `Const` newtype if the `getConst` field were removed Since: base-4.8.0.0
Instance details Defined in Data.Functor.Const Methods showsPrec :: Int -> Const a b -> ShowS # show :: Const a b -> String # showList :: [Const a b] -> ShowS #
NFData a => NFData (Const a b)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Const a b -> () #
Eq a => Eq (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (==) :: Const a b -> Const a b -> Bool # (/=) :: Const a b -> Const a b -> Bool #
Ord a => Ord (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods compare :: Const a b -> Const a b -> Ordering # (<) :: Const a b -> Const a b -> Bool # (<=) :: Const a b -> Const a b -> Bool # (>) :: Const a b -> Const a b -> Bool # (>=) :: Const a b -> Const a b -> Bool # max :: Const a b -> Const a b -> Const a b # min :: Const a b -> Const a b -> Const a b #
Hashable a => Hashable (Const a b)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Const a b -> Int Source # hash :: Const a b -> Int Source #
SingKind a => SingKind (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type Demote (Const a b) = (r :: Type) Source # Methods fromSing :: forall (a0 :: Const a b). Sing a0 -> Demote (Const a b) Source # toSing :: Demote (Const a b) -> SomeSing (Const a b) Source #
SDecide a => SDecide (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods (%~) :: forall (a0 :: Const a b) (b0 :: Const a b). Sing a0 -> Sing b0 -> Decision (a0 :~: b0) Source #
PEq (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type arg == arg1 :: Bool Source # type arg /= arg1 :: Bool Source #
SEq a => SEq (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods (%==) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (==@#@$) t1) t2) Source # (%/=) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (/=@#@$) t1) t2) Source #
PMonoid (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type Mempty :: a Source # type Mappend arg arg1 :: a Source # type Mconcat arg :: a Source #
SMonoid a => SMonoid (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sMempty :: Sing MemptySym0 Source # sMappend :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply MappendSym0 t1) t2) Source # sMconcat :: forall (t :: [Const a b]). Sing t -> Sing (Apply MconcatSym0 t) Source #
POrd (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type Compare arg arg1 :: Ordering Source # type arg < arg1 :: Bool Source # type arg <= arg1 :: Bool Source # type arg > arg1 :: Bool Source # type arg >= arg1 :: Bool Source # type Max arg arg1 :: a Source # type Min arg arg1 :: a Source #
SOrd a => SOrd (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sCompare :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) Source # (%<) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source # (%<=) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) Source # (%>) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%>=) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) Source # sMax :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) Source # sMin :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) Source #
PSemigroup (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type arg <> arg1 :: a Source # type Sconcat arg :: a Source #
SSemigroup a => SSemigroup (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods (%<>) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sSconcat :: forall (t :: NonEmpty (Const a b)). Sing t -> Sing (Apply SconcatSym0 t) Source #
PBounded (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type MinBound :: a Source # type MaxBound :: a Source #
PEnum (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type Succ arg :: a Source # type Pred arg :: a Source # type ToEnum arg :: a Source # type FromEnum arg :: Natural Source # type EnumFromTo arg arg1 :: [a] Source # type EnumFromThenTo arg arg1 arg2 :: [a] Source #
SBounded a => SBounded (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sMinBound :: Sing MinBoundSym0 Source # sMaxBound :: Sing MaxBoundSym0 Source #
SEnum a => SEnum (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sSucc :: forall (t :: Const a b). Sing t -> Sing (Apply SuccSym0 t) Source # sPred :: forall (t :: Const a b). Sing t -> Sing (Apply PredSym0 t) Source # sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t) Source # sFromEnum :: forall (t :: Const a b). Sing t -> Sing (Apply FromEnumSym0 t) Source # sEnumFromTo :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply EnumFromToSym0 t1) t2) Source # sEnumFromThenTo :: forall (t1 :: Const a b) (t2 :: Const a b) (t3 :: Const a b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t1) t2) t3) Source #
PIsString (Const a b) Source #
Instance details Defined in Data.String.Singletons Associated Types type FromString arg :: a Source #
SIsString a => SIsString (Const a b) Source #
Instance details Defined in Data.String.Singletons Methods sFromString :: forall (t :: Symbol). Sing t -> Sing (Apply FromStringSym0 t) Source #
PNum (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type arg + arg1 :: a Source # type arg - arg1 :: a Source # type arg * arg1 :: a Source # type Negate arg :: a Source # type Abs arg :: a Source # type Signum arg :: a Source # type FromInteger arg :: a Source #
SNum a => SNum (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods (%+) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (+@#@$) t1) t2) Source # (%-) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (-@#@$) t1) t2) Source # (%) :: forall (t1 :: Const a b) (t2 :: Const a b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (@#@$) t1) t2) Source # sNegate :: forall (t :: Const a b). Sing t -> Sing (Apply NegateSym0 t) Source # sAbs :: forall (t :: Const a b). Sing t -> Sing (Apply AbsSym0 t) Source # sSignum :: forall (t :: Const a b). Sing t -> Sing (Apply SignumSym0 t) Source # sFromInteger :: forall (t :: Natural). Sing t -> Sing (Apply FromIntegerSym0 t) Source #
PShow (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Associated Types type ShowsPrec arg arg1 arg2 :: Symbol Source # type Show_ arg :: Symbol Source # type ShowList arg arg1 :: Symbol Source #
SShow a => SShow (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sShowsPrec :: forall (t1 :: Natural) (t2 :: Const a b) (t3 :: Symbol). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply ShowsPrecSym0 t1) t2) t3) Source # sShow_ :: forall (t :: Const a b). Sing t -> Sing (Apply Show_Sym0 t) Source # sShowList :: forall (t1 :: [Const a b]) (t2 :: Symbol). Sing t1 -> Sing t2 -> Sing (Apply (Apply ShowListSym0 t1) t2) Source #
SDecide a => TestCoercion (SConst :: Const a b -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods testCoercion :: forall (a0 :: k) (b0 :: k). SConst a0 -> SConst b0 -> Maybe (Coercion a0 b0) #
SDecide a => TestEquality (SConst :: Const a b -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods testEquality :: forall (a0 :: k) (b0 :: k). SConst a0 -> SConst b0 -> Maybe (a0 :~: b0) #
SingI a2 => SingI ('Const a2 :: Const a1 b) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sing :: Sing ('Const a2) Source #
type MapM (arg1 :: a ~> m1 b) (arg2 :: Const m2 a) Source #
Instance details Defined in Data.Traversable.Singletons type MapM (arg1 :: a ~> m1 b) (arg2 :: Const m2 a)
type Traverse (a2 :: a1 ~> f b) (a3 :: Const m a1) Source #
Instance details Defined in Data.Traversable.Singletons type Traverse (a2 :: a1 ~> f b) (a3 :: Const m a1)
type LiftA2 (a2 :: a1 ~> (b ~> c)) (a3 :: Const m a1) (a4 :: Const m b) Source #
Instance details Defined in Data.Functor.Const.Singletons type LiftA2 (a2 :: a1 ~> (b ~> c)) (a3 :: Const m a1) (a4 :: Const m b)
type Fmap (a2 :: a1 ~> b) (a3 :: Const m a1) Source #
Instance details Defined in Data.Functor.Const.Singletons type Fmap (a2 :: a1 ~> b) (a3 :: Const m a1)
type FoldMap (a2 :: a1 ~> k2) (a3 :: Const m a1) Source #
Instance details Defined in Data.Functor.Const.Singletons type FoldMap (a2 :: a1 ~> k2) (a3 :: Const m a1)
type Foldl (arg :: b ~> (a ~> b)) (arg1 :: b) (arg2 :: Const m a) Source #
Instance details Defined in Data.Functor.Const.Singletons type Foldl (arg :: b ~> (a ~> b)) (arg1 :: b) (arg2 :: Const m a)
type Foldl' (arg :: b ~> (a ~> b)) (arg1 :: b) (arg2 :: Const m a) Source #
Instance details Defined in Data.Functor.Const.Singletons type Foldl' (arg :: b ~> (a ~> b)) (arg1 :: b) (arg2 :: Const m a)
type Foldr (a2 :: a1 ~> (k2 ~> k2)) (a3 :: k2) (a4 :: Const m a1) Source #
Instance details Defined in Data.Functor.Const.Singletons type Foldr (a2 :: a1 ~> (k2 ~> k2)) (a3 :: k2) (a4 :: Const m a1)
type Foldr' (arg :: a ~> (b ~> b)) (arg1 :: b) (arg2 :: Const m a) Source #
Instance details Defined in Data.Functor.Const.Singletons type Foldr' (arg :: a ~> (b ~> b)) (arg1 :: b) (arg2 :: Const m a)
type Rep1 (Const a :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const type Rep1 (Const a :: k -> Type) = D1 ('MetaData "Const" "Data.Functor.Const" "base" 'True) (C1 ('MetaCons "Const" 'PrefixI 'True) (S1 ('MetaSel ('Just "getConst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))
type Pure (a :: k1) Source #
Instance details Defined in Data.Functor.Const.Singletons type Pure (a :: k1)
type Elem (arg :: a) (arg1 :: Const m a) Source #
Instance details Defined in Data.Functor.Const.Singletons type Elem (arg :: a) (arg1 :: Const m a)
type Foldl1 (arg :: a ~> (a ~> a)) (arg1 :: Const m a) Source #
Instance details Defined in Data.Functor.Const.Singletons type Foldl1 (arg :: a ~> (a ~> a)) (arg1 :: Const m a)
type Foldr1 (arg :: a ~> (a ~> a)) (arg1 :: Const m a) Source #
Instance details Defined in Data.Functor.Const.Singletons type Foldr1 (arg :: a ~> (a ~> a)) (arg1 :: Const m a)
type (a1 :: k1) <$ (a2 :: Const m b) Source #
Instance details Defined in Data.Functor.Const.Singletons type (a1 :: k1) <$ (a2 :: Const m b)
type Apply (ConstSym0 :: TyFun a (Const a b) -> Type) (x :: a) Source #
Instance details Defined in Data.Functor.Const.Singletons type Apply (ConstSym0 :: TyFun a (Const a b) -> Type) (x :: a) = 'Const x :: Const a b
type Fold (arg :: Const m1 m2) Source #
Instance details Defined in Data.Functor.Const.Singletons type Fold (arg :: Const m1 m2)
type Length (arg :: Const m a) Source #
Instance details Defined in Data.Functor.Const.Singletons type Length (arg :: Const m a)
type Maximum (arg :: Const m a) Source #
Instance details Defined in Data.Functor.Const.Singletons type Maximum (arg :: Const m a)
type Minimum (arg :: Const m a) Source #
Instance details Defined in Data.Functor.Const.Singletons type Minimum (arg :: Const m a)
type Null (arg :: Const m a) Source #
Instance details Defined in Data.Functor.Const.Singletons type Null (arg :: Const m a)
type Product (arg :: Const m a) Source #
Instance details Defined in Data.Functor.Const.Singletons type Product (arg :: Const m a)
type Sum (arg :: Const m a) Source #
Instance details Defined in Data.Functor.Const.Singletons type Sum (arg :: Const m a)
type ToList (arg :: Const m a) Source #
Instance details Defined in Data.Functor.Const.Singletons type ToList (arg :: Const m a)
type Sequence (arg :: Const m1 (m2 a)) Source #
Instance details Defined in Data.Traversable.Singletons type Sequence (arg :: Const m1 (m2 a))
type SequenceA (arg :: Const m (f a)) Source #
Instance details Defined in Data.Traversable.Singletons type SequenceA (arg :: Const m (f a))
type (arg :: Const m a) *> (arg1 :: Const m b) Source #
Instance details Defined in Data.Functor.Const.Singletons type (arg :: Const m a) *> (arg1 :: Const m b)
type (arg :: Const m a) <* (arg1 :: Const m b) Source #
Instance details Defined in Data.Functor.Const.Singletons type (arg :: Const m a) <* (arg1 :: Const m b)
type (a2 :: Const m (a1 ~> b)) <*> (a3 :: Const m a1) Source #
Instance details Defined in Data.Functor.Const.Singletons type (a2 :: Const m (a1 ~> b)) <*> (a3 :: Const m a1)
type Rep (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const type Rep (Const a b) = D1 ('MetaData "Const" "Data.Functor.Const" "base" 'True) (C1 ('MetaCons "Const" 'PrefixI 'True) (S1 ('MetaSel ('Just "getConst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))
type Demote (Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons type Demote (Const a b) = Const (Demote a) b
type Sing Source #
Instance details Defined in Data.Functor.Const.Singletons type Sing = SConst :: Const a b -> Type
type Mempty Source #
Instance details Defined in Data.Functor.Const.Singletons type Mempty
type MaxBound Source #
Instance details Defined in Data.Functor.Const.Singletons type MaxBound
type MinBound Source #
Instance details Defined in Data.Functor.Const.Singletons type MinBound
type Mconcat (arg :: [Const a b]) Source #
Instance details Defined in Data.Functor.Const.Singletons type Mconcat (arg :: [Const a b])
type Sconcat (arg :: NonEmpty (Const a b)) Source #
Instance details Defined in Data.Functor.Const.Singletons type Sconcat (arg :: NonEmpty (Const a b))
type FromEnum (a2 :: Const a1 b) Source #
Instance details Defined in Data.Functor.Const.Singletons type FromEnum (a2 :: Const a1 b)
type Pred (a2 :: Const a1 b) Source #
Instance details Defined in Data.Functor.Const.Singletons type Pred (a2 :: Const a1 b)
type Succ (a2 :: Const a1 b) Source #
Instance details Defined in Data.Functor.Const.Singletons type Succ (a2 :: Const a1 b)
type ToEnum a2 Source #
Instance details Defined in Data.Functor.Const.Singletons type ToEnum a2
type FromString a2 Source #
Instance details Defined in Data.String.Singletons type FromString a2
type Abs (a2 :: Const a1 b) Source #
Instance details Defined in Data.Functor.Const.Singletons type Abs (a2 :: Const a1 b)
type FromInteger a2 Source #
Instance details Defined in Data.Functor.Const.Singletons type FromInteger a2
type Negate (a2 :: Const a1 b) Source #
Instance details Defined in Data.Functor.Const.Singletons type Negate (a2 :: Const a1 b)
type Signum (a2 :: Const a1 b) Source #
Instance details Defined in Data.Functor.Const.Singletons type Signum (a2 :: Const a1 b)
type Show_ (arg :: Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons type Show_ (arg :: Const a b)
type (arg :: Const a b) /= (arg1 :: Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons type (arg :: Const a b) /= (arg1 :: Const a b)
type (a2 :: Const a1 b) == (a3 :: Const a1 b) Source #
Instance details Defined in Data.Functor.Const.Singletons type (a2 :: Const a1 b) == (a3 :: Const a1 b)
type Mappend (arg :: Const a b) (arg1 :: Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons type Mappend (arg :: Const a b) (arg1 :: Const a b)
type (arg :: Const a b) < (arg1 :: Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons type (arg :: Const a b) < (arg1 :: Const a b)
type (arg :: Const a b) <= (arg1 :: Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons type (arg :: Const a b) <= (arg1 :: Const a b)
type (arg :: Const a b) > (arg1 :: Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons type (arg :: Const a b) > (arg1 :: Const a b)
type (arg :: Const a b) >= (arg1 :: Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons type (arg :: Const a b) >= (arg1 :: Const a b)
type Compare (a2 :: Const a1 b) (a3 :: Const a1 b) Source #
Instance details Defined in Data.Functor.Const.Singletons type Compare (a2 :: Const a1 b) (a3 :: Const a1 b)
type Max (arg :: Const a b) (arg1 :: Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons type Max (arg :: Const a b) (arg1 :: Const a b)
type Min (arg :: Const a b) (arg1 :: Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons type Min (arg :: Const a b) (arg1 :: Const a b)
type (a2 :: Const a1 b) <> (a3 :: Const a1 b) Source #
Instance details Defined in Data.Functor.Const.Singletons type (a2 :: Const a1 b) <> (a3 :: Const a1 b)
type EnumFromTo (a2 :: Const a1 b) (a3 :: Const a1 b) Source #
Instance details Defined in Data.Functor.Const.Singletons type EnumFromTo (a2 :: Const a1 b) (a3 :: Const a1 b)
type (a2 :: Const a1 b) * (a3 :: Const a1 b) Source #
Instance details Defined in Data.Functor.Const.Singletons type (a2 :: Const a1 b) * (a3 :: Const a1 b)
type (a2 :: Const a1 b) + (a3 :: Const a1 b) Source #
Instance details Defined in Data.Functor.Const.Singletons type (a2 :: Const a1 b) + (a3 :: Const a1 b)
type (a2 :: Const a1 b) - (a3 :: Const a1 b) Source #
Instance details Defined in Data.Functor.Const.Singletons type (a2 :: Const a1 b) - (a3 :: Const a1 b)
type ShowList (arg :: [Const a b]) arg1 Source #
Instance details Defined in Data.Functor.Const.Singletons type ShowList (arg :: [Const a b]) arg1
type EnumFromThenTo (a2 :: Const a1 b) (a3 :: Const a1 b) (a4 :: Const a1 b) Source #
Instance details Defined in Data.Functor.Const.Singletons type EnumFromThenTo (a2 :: Const a1 b) (a3 :: Const a1 b) (a4 :: Const a1 b)
type ShowsPrec a2 (a3 :: Const a1 b) a4 Source #
Instance details Defined in Data.Functor.Const.Singletons type ShowsPrec a2 (a3 :: Const a1 b) a4
type Apply (GetConstSym0 :: TyFun (Const a b) a -> Type) (a6989586621680716643 :: Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons type Apply (GetConstSym0 :: TyFun (Const a b) a -> Type) (a6989586621680716643 :: Const a b) = GetConst a6989586621680716643

type family GetConst (a :: Const a b) :: a where ... Source #

Equations

GetConst ('Const x) = x

sGetConst :: forall (t :: Const a b). Sing t -> Sing (Apply GetConstSym0 t :: a) :: Type Source #

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

Equations

a_6989586621679551392 <$> a_6989586621679551394 = Apply (Apply FmapSym0 a_6989586621679551392) a_6989586621679551394

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

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

Instances

Instances details

type (a1 :: k1) <$ (a2 :: Identity b) Source #
Instance details Defined in Data.Functor.Identity.Singletons type (a1 :: k1) <$ (a2 :: Identity b)
type (a1 :: k1) <$ (a2 :: First b) Source #
Instance details Defined in Data.Monoid.Singletons type (a1 :: k1) <$ (a2 :: First b)
type (a1 :: k1) <$ (a2 :: Last b) Source #
Instance details Defined in Data.Monoid.Singletons type (a1 :: k1) <$ (a2 :: Last b)
type (a1 :: k1) <$ (a2 :: Down b) Source #
Instance details Defined in Data.Functor.Singletons type (a1 :: k1) <$ (a2 :: Down b)
type (a1 :: k1) <$ (a2 :: First b) Source #
Instance details Defined in Data.Semigroup.Singletons type (a1 :: k1) <$ (a2 :: First b)
type (a1 :: k1) <$ (a2 :: Last b) Source #
Instance details Defined in Data.Semigroup.Singletons type (a1 :: k1) <$ (a2 :: Last b)
type (a1 :: k1) <$ (a2 :: Max b) Source #
Instance details Defined in Data.Semigroup.Singletons type (a1 :: k1) <$ (a2 :: Max b)
type (a1 :: k1) <$ (a2 :: Min b) Source #
Instance details Defined in Data.Semigroup.Singletons type (a1 :: k1) <$ (a2 :: Min b)
type (a1 :: k1) <$ (a2 :: Dual b) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type (a1 :: k1) <$ (a2 :: Dual b)
type (a1 :: k1) <$ (a2 :: Product b) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type (a1 :: k1) <$ (a2 :: Product b)
type (a1 :: k1) <$ (a2 :: Sum b) Source #
Instance details Defined in Data.Semigroup.Singletons.Internal.Wrappers type (a1 :: k1) <$ (a2 :: Sum b)
type (a1 :: k1) <$ (a2 :: NonEmpty b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type (a1 :: k1) <$ (a2 :: NonEmpty b)
type (a1 :: k1) <$ (a2 :: Maybe b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type (a1 :: k1) <$ (a2 :: Maybe b)
type (a1 :: k1) <$ (a2 :: [b]) Source #
Instance details Defined in Control.Monad.Singletons.Internal type (a1 :: k1) <$ (a2 :: [b])
type (arg :: a) <$ (arg1 :: Proxy b) Source #
Instance details Defined in Data.Proxy.Singletons type (arg :: a) <$ (arg1 :: Proxy b)
type (a2 :: k1) <$ (a3 :: Either a1 b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type (a2 :: k1) <$ (a3 :: Either a1 b)
type (a2 :: k1) <$ (a3 :: Arg a1 b) Source #
Instance details Defined in Data.Semigroup.Singletons type (a2 :: k1) <$ (a3 :: Arg a1 b)
type (a2 :: k1) <$ (a3 :: (a1, b)) Source #
Instance details Defined in Data.Functor.Singletons type (a2 :: k1) <$ (a3 :: (a1, b))
type (a1 :: k1) <$ (a2 :: Const m b) Source #
Instance details Defined in Data.Functor.Const.Singletons type (a1 :: k1) <$ (a2 :: Const m b)
type (a1 :: k1) <$ (a2 :: Product f g b) Source #
Instance details Defined in Data.Functor.Product.Singletons type (a1 :: k1) <$ (a2 :: Product f g b)
type (a1 :: k1) <$ (a2 :: Sum f g b) Source #
Instance details Defined in Data.Functor.Sum.Singletons type (a1 :: k1) <$ (a2 :: Sum f g b)
type (a1 :: k1) <$ (a2 :: Compose f g b) Source #
Instance details Defined in Data.Functor.Compose.Singletons type (a1 :: k1) <$ (a2 :: Compose f g b)

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

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

Equations

a_6989586621679362288 <**> a_6989586621679362290 = Apply (Apply (Apply LiftA2Sym0 (Apply (Apply Lambda_6989586621679362299Sym0 a_6989586621679362288) a_6989586621679362290)) a_6989586621679362288) a_6989586621679362290

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

type family LiftA (a :: (~>) a b) (a :: f a) :: f b where ... Source #

Equations

LiftA f a = Apply (Apply (<*>@#@$) (Apply PureSym0 f)) a

sLiftA :: forall (t :: (~>) a b) (t :: f a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply LiftASym0 t) t :: f b) :: Type Source #

type family LiftA3 (a :: (~>) a ((~>) b ((~>) c d))) (a :: f a) (a :: f b) (a :: f c) :: f d where ... Source #

Equations

LiftA3 f a b c = Apply (Apply (<*>@#@$) (Apply (Apply (Apply LiftA2Sym0 f) a) b)) c

sLiftA3 :: forall (t :: (~>) a ((~>) b ((~>) c d))) (t :: f a) (t :: f b) (t :: f c). SApplicative f => Sing t -> Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply (Apply LiftA3Sym0 t) t) t) t :: f d) :: Type Source #

type family Optional (a :: f a) :: f (Maybe a) where ... Source #

Equations

Optional v = Apply (Apply (<|>@#@$) (Apply (Apply (<$>@#@$) JustSym0) v)) (Apply PureSym0 NothingSym0)

sOptional :: forall (t :: f a). SAlternative f => Sing t -> Sing (Apply OptionalSym0 t :: f (Maybe a)) :: Type Source #

Defunctionalization symbols

data PureSym0 :: (~>) a (f a) Source #

Instances

Instances details

SApplicative f => SingI (PureSym0 :: TyFun a (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing PureSym0 Source #
SuppressUnusedWarnings (PureSym0 :: TyFun a (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (PureSym0 :: TyFun a (f a) -> Type) (a6989586621679362331 :: a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (PureSym0 :: TyFun a (f a) -> Type) (a6989586621679362331 :: a) = Pure a6989586621679362331 :: f a

type family PureSym1 (a6989586621679362331 :: a) :: f a where ... Source #

Equations

PureSym1 a6989586621679362331 = Pure a6989586621679362331

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

Instances

Instances details

SApplicative f => SingI ((<*>@#@$) :: TyFun (f (a ~> b)) (f a ~> f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (<*>@#@$) Source #
SuppressUnusedWarnings ((<*>@#@$) :: TyFun (f (a ~> b)) (f a ~> f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((<*>@#@$) :: TyFun (f (a ~> b)) (f a ~> f b) -> Type) (a6989586621679362335 :: f (a ~> b)) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<>@#@$) :: TyFun (f (a ~> b)) (f a ~> f b) -> Type) (a6989586621679362335 :: f (a ~> b)) = (<>@#@$$) a6989586621679362335

data (<*>@#@$$) (a6989586621679362335 :: f ((~>) a b)) :: (~>) (f a) (f b) infixl 4 Source #

Instances

Instances details

SApplicative f => SingI1 ((<*>@#@$$) :: f (a ~> b) -> TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing ((<*>@#@$$) x) Source #
(SApplicative f, SingI d) => SingI ((<*>@#@$$) d :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing ((<*>@#@$$) d) Source #
SuppressUnusedWarnings ((<*>@#@$$) a6989586621679362335 :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((<*>@#@$$) a6989586621679362335 :: TyFun (f a) (f b) -> Type) (a6989586621679362336 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<>@#@$$) a6989586621679362335 :: TyFun (f a) (f b) -> Type) (a6989586621679362336 :: f a) = a6989586621679362335 <> a6989586621679362336

type family (a6989586621679362335 :: f ((~>) a b)) <*>@#@$$$ (a6989586621679362336 :: f a) :: f b where ... infixl 4 Source #

Equations

a6989586621679362335 <*>@#@$$$ a6989586621679362336 = (<*>) a6989586621679362335 a6989586621679362336

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

Instances

Instances details

SApplicative f => SingI ((*>@#@$) :: TyFun (f a) (f b ~> f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (*>@#@$) Source #
SuppressUnusedWarnings ((*>@#@$) :: TyFun (f a) (f b ~> f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((*>@#@$) :: TyFun (f a) (f b ~> f b) -> Type) (a6989586621679362347 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>@#@$) :: TyFun (f a) (f b ~> f b) -> Type) (a6989586621679362347 :: f a) = (>@#@$$) a6989586621679362347 :: TyFun (f b) (f b) -> Type

data (*>@#@$$) (a6989586621679362347 :: f a) :: (~>) (f b) (f b) infixl 4 Source #

Instances

Instances details

SApplicative f => SingI1 ((*>@#@$$) :: f a -> TyFun (f b) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing ((*>@#@$$) x) Source #
(SApplicative f, SingI d) => SingI ((*>@#@$$) d :: TyFun (f b) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing ((*>@#@$$) d) Source #
SuppressUnusedWarnings ((*>@#@$$) a6989586621679362347 :: TyFun (f b) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((*>@#@$$) a6989586621679362347 :: TyFun (f b) (f b) -> Type) (a6989586621679362348 :: f b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((>@#@$$) a6989586621679362347 :: TyFun (f b) (f b) -> Type) (a6989586621679362348 :: f b) = a6989586621679362347 > a6989586621679362348

type family (a6989586621679362347 :: f a) *>@#@$$$ (a6989586621679362348 :: f b) :: f b where ... infixl 4 Source #

Equations

a6989586621679362347 *>@#@$$$ a6989586621679362348 = (*>) a6989586621679362347 a6989586621679362348

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

Instances

Instances details

SApplicative f => SingI ((<*@#@$) :: TyFun (f a) (f b ~> f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (<*@#@$) Source #
SuppressUnusedWarnings ((<*@#@$) :: TyFun (f a) (f b ~> f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((<*@#@$) :: TyFun (f a) (f b ~> f a) -> Type) (a6989586621679362352 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<@#@$) :: TyFun (f a) (f b ~> f a) -> Type) (a6989586621679362352 :: f a) = (<@#@$$) a6989586621679362352 :: TyFun (f b) (f a) -> Type

data (<*@#@$$) (a6989586621679362352 :: f a) :: (~>) (f b) (f a) infixl 4 Source #

Instances

Instances details

SApplicative f => SingI1 ((<*@#@$$) :: f a -> TyFun (f b) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing ((<*@#@$$) x) Source #
(SApplicative f, SingI d) => SingI ((<*@#@$$) d :: TyFun (f b) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing ((<*@#@$$) d) Source #
SuppressUnusedWarnings ((<*@#@$$) a6989586621679362352 :: TyFun (f b) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((<*@#@$$) a6989586621679362352 :: TyFun (f b) (f a) -> Type) (a6989586621679362353 :: f b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<@#@$$) a6989586621679362352 :: TyFun (f b) (f a) -> Type) (a6989586621679362353 :: f b) = a6989586621679362352 < a6989586621679362353

type family (a6989586621679362352 :: f a) <*@#@$$$ (a6989586621679362353 :: f b) :: f a where ... infixl 4 Source #

Equations

a6989586621679362352 <*@#@$$$ a6989586621679362353 = (<*) a6989586621679362352 a6989586621679362353

type family EmptySym0 :: f a where ... Source #

Equations

EmptySym0 = Empty

data (<|>@#@$) :: (~>) (f a) ((~>) (f a) (f a)) infixl 3 Source #

Instances

Instances details

SAlternative f => SingI ((<\|>@#@$) :: TyFun (f a) (f a ~> f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (<\|>@#@$) Source #
SuppressUnusedWarnings ((<\|>@#@$) :: TyFun (f a) (f a ~> f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((<\|>@#@$) :: TyFun (f a) (f a ~> f a) -> Type) (a6989586621679362456 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<\|>@#@$) :: TyFun (f a) (f a ~> f a) -> Type) (a6989586621679362456 :: f a) = (<\|>@#@$$) a6989586621679362456

data (<|>@#@$$) (a6989586621679362456 :: f a) :: (~>) (f a) (f a) infixl 3 Source #

Instances

Instances details

SAlternative f => SingI1 ((<\|>@#@$$) :: f a -> TyFun (f a) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing ((<\|>@#@$$) x) Source #
(SAlternative f, SingI d) => SingI ((<\|>@#@$$) d :: TyFun (f a) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing ((<\|>@#@$$) d) Source #
SuppressUnusedWarnings ((<\|>@#@$$) a6989586621679362456 :: TyFun (f a) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((<\|>@#@$$) a6989586621679362456 :: TyFun (f a) (f a) -> Type) (a6989586621679362457 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<\|>@#@$$) a6989586621679362456 :: TyFun (f a) (f a) -> Type) (a6989586621679362457 :: f a) = a6989586621679362456 <\|> a6989586621679362457

type family (a6989586621679362456 :: f a) <|>@#@$$$ (a6989586621679362457 :: f a) :: f a where ... infixl 3 Source #

Equations

a6989586621679362456 <|>@#@$$$ a6989586621679362457 = (<|>) a6989586621679362456 a6989586621679362457

data ConstSym0 z Source #

Instances

Instances details

SingI (ConstSym0 :: TyFun a (Const a b) -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sing :: Sing ConstSym0 Source #
type Apply (ConstSym0 :: TyFun a (Const a b) -> Type) (x :: a) Source #
Instance details Defined in Data.Functor.Const.Singletons type Apply (ConstSym0 :: TyFun a (Const a b) -> Type) (x :: a) = 'Const x :: Const a b

type family ConstSym1 x where ... Source #

Equations

ConstSym1 x = 'Const x

data GetConstSym0 :: (~>) (Const a b) a Source #

Instances

Instances details

SingI (GetConstSym0 :: TyFun (Const a b) a -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods sing :: Sing GetConstSym0 Source #
SuppressUnusedWarnings (GetConstSym0 :: TyFun (Const a b) a -> Type) Source #
Instance details Defined in Data.Functor.Const.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply (GetConstSym0 :: TyFun (Const a b) a -> Type) (a6989586621680716643 :: Const a b) Source #
Instance details Defined in Data.Functor.Const.Singletons type Apply (GetConstSym0 :: TyFun (Const a b) a -> Type) (a6989586621680716643 :: Const a b) = GetConst a6989586621680716643

type family GetConstSym1 (a6989586621680716643 :: Const a b) :: a where ... Source #

Equations

GetConstSym1 a6989586621680716643 = GetConst a6989586621680716643

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

Instances

Instances details

SFunctor f => SingI ((<$>@#@$) :: TyFun (a ~> b) (f a ~> f b) -> Type) Source #
Instance details Defined in Data.Functor.Singletons Methods sing :: Sing (<$>@#@$) Source #
SuppressUnusedWarnings ((<$>@#@$) :: TyFun (a ~> b) (f a ~> f b) -> Type) Source #
Instance details Defined in Data.Functor.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply ((<$>@#@$) :: TyFun (a ~> b) (f a ~> f b) -> Type) (a6989586621679551399 :: a ~> b) Source #
Instance details Defined in Data.Functor.Singletons type Apply ((<$>@#@$) :: TyFun (a ~> b) (f a ~> f b) -> Type) (a6989586621679551399 :: a ~> b) = (<$>@#@$$) a6989586621679551399 :: TyFun (f a) (f b) -> Type

data (<$>@#@$$) (a6989586621679551399 :: (~>) a b) :: (~>) (f a) (f b) infixl 4 Source #

Instances

Instances details

SFunctor f => SingI1 ((<$>@#@$$) :: (a ~> b) -> TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Data.Functor.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing ((<$>@#@$$) x) Source #
(SFunctor f, SingI d) => SingI ((<$>@#@$$) d :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Data.Functor.Singletons Methods sing :: Sing ((<$>@#@$$) d) Source #
SuppressUnusedWarnings ((<$>@#@$$) a6989586621679551399 :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Data.Functor.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply ((<$>@#@$$) a6989586621679551399 :: TyFun (f a) (f b) -> Type) (a6989586621679551400 :: f a) Source #
Instance details Defined in Data.Functor.Singletons type Apply ((<$>@#@$$) a6989586621679551399 :: TyFun (f a) (f b) -> Type) (a6989586621679551400 :: f a) = a6989586621679551399 <$> a6989586621679551400

type family (a6989586621679551399 :: (~>) a b) <$>@#@$$$ (a6989586621679551400 :: f a) :: f b where ... infixl 4 Source #

Equations

a6989586621679551399 <$>@#@$$$ a6989586621679551400 = (<$>) a6989586621679551399 a6989586621679551400

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

Instances

Instances details

SFunctor f => SingI ((<$@#@$) :: TyFun a (f b ~> f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (<$@#@$) Source #
SuppressUnusedWarnings ((<$@#@$) :: TyFun a (f b ~> f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((<$@#@$) :: TyFun a (f b ~> f a) -> Type) (a6989586621679362312 :: a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<$@#@$) :: TyFun a (f b ~> f a) -> Type) (a6989586621679362312 :: a) = (<$@#@$$) a6989586621679362312 :: TyFun (f b) (f a) -> Type

data (<$@#@$$) (a6989586621679362312 :: a) :: (~>) (f b) (f a) infixl 4 Source #

Instances

Instances details

SFunctor f => SingI1 ((<$@#@$$) :: a -> TyFun (f b) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing ((<$@#@$$) x) Source #
(SFunctor f, SingI d) => SingI ((<$@#@$$) d :: TyFun (f b) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing ((<$@#@$$) d) Source #
SuppressUnusedWarnings ((<$@#@$$) a6989586621679362312 :: TyFun (f b) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((<$@#@$$) a6989586621679362312 :: TyFun (f b) (f a) -> Type) (a6989586621679362313 :: f b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<$@#@$$) a6989586621679362312 :: TyFun (f b) (f a) -> Type) (a6989586621679362313 :: f b) = a6989586621679362312 <$ a6989586621679362313

type family (a6989586621679362312 :: a) <$@#@$$$ (a6989586621679362313 :: f b) :: f a where ... infixl 4 Source #

Equations

a6989586621679362312 <$@#@$$$ a6989586621679362313 = (<$) a6989586621679362312 a6989586621679362313

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

Instances

Instances details

SApplicative f => SingI ((<**>@#@$) :: TyFun (f a) (f (a ~> b) ~> f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (<**>@#@$) Source #
SuppressUnusedWarnings ((<**>@#@$) :: TyFun (f a) (f (a ~> b) ~> f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((<**>@#@$) :: TyFun (f a) (f (a ~> b) ~> f b) -> Type) (a6989586621679362295 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<>@#@$) :: TyFun (f a) (f (a ~> b) ~> f b) -> Type) (a6989586621679362295 :: f a) = (<>@#@$$) a6989586621679362295 :: TyFun (f (a ~> b)) (f b) -> Type

data (<**>@#@$$) (a6989586621679362295 :: f a) :: (~>) (f ((~>) a b)) (f b) infixl 4 Source #

Instances

Instances details

SApplicative f => SingI1 ((<**>@#@$$) :: f a -> TyFun (f (a ~> b)) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing ((<**>@#@$$) x) Source #
(SApplicative f, SingI d) => SingI ((<**>@#@$$) d :: TyFun (f (a ~> b)) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing ((<**>@#@$$) d) Source #
SuppressUnusedWarnings ((<**>@#@$$) a6989586621679362295 :: TyFun (f (a ~> b)) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((<**>@#@$$) a6989586621679362295 :: TyFun (f (a ~> b)) (f b) -> Type) (a6989586621679362296 :: f (a ~> b)) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<>@#@$$) a6989586621679362295 :: TyFun (f (a ~> b)) (f b) -> Type) (a6989586621679362296 :: f (a ~> b)) = a6989586621679362295 <> a6989586621679362296

type family (a6989586621679362295 :: f a) <**>@#@$$$ (a6989586621679362296 :: f ((~>) a b)) :: f b where ... infixl 4 Source #

Equations

a6989586621679362295 <**>@#@$$$ a6989586621679362296 = (<**>) a6989586621679362295 a6989586621679362296

data LiftASym0 :: (~>) ((~>) a b) ((~>) (f a) (f b)) Source #

Instances

Instances details

SApplicative f => SingI (LiftASym0 :: TyFun (a ~> b) (f a ~> f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing LiftASym0 Source #
SuppressUnusedWarnings (LiftASym0 :: TyFun (a ~> b) (f a ~> f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (LiftASym0 :: TyFun (a ~> b) (f a ~> f b) -> Type) (a6989586621679362284 :: a ~> b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (LiftASym0 :: TyFun (a ~> b) (f a ~> f b) -> Type) (a6989586621679362284 :: a ~> b) = LiftASym1 a6989586621679362284 :: TyFun (f a) (f b) -> Type

data LiftASym1 (a6989586621679362284 :: (~>) a b) :: (~>) (f a) (f b) Source #

Instances

Instances details

SApplicative f => SingI1 (LiftASym1 :: (a ~> b) -> TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (LiftASym1 x) Source #
(SApplicative f, SingI d) => SingI (LiftASym1 d :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (LiftASym1 d) Source #
SuppressUnusedWarnings (LiftASym1 a6989586621679362284 :: TyFun (f a) (f b) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (LiftASym1 a6989586621679362284 :: TyFun (f a) (f b) -> Type) (a6989586621679362285 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (LiftASym1 a6989586621679362284 :: TyFun (f a) (f b) -> Type) (a6989586621679362285 :: f a) = LiftA a6989586621679362284 a6989586621679362285

type family LiftASym2 (a6989586621679362284 :: (~>) a b) (a6989586621679362285 :: f a) :: f b where ... Source #

Equations

LiftASym2 a6989586621679362284 a6989586621679362285 = LiftA a6989586621679362284 a6989586621679362285

data LiftA2Sym0 :: (~>) ((~>) a ((~>) b c)) ((~>) (f a) ((~>) (f b) (f c))) Source #

Instances

Instances details

SApplicative f => SingI (LiftA2Sym0 :: TyFun (a ~> (b ~> c)) (f a ~> (f b ~> f c)) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing LiftA2Sym0 Source #
SuppressUnusedWarnings (LiftA2Sym0 :: TyFun (a ~> (b ~> c)) (f a ~> (f b ~> f c)) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (LiftA2Sym0 :: TyFun (a ~> (b ~> c)) (f a ~> (f b ~> f c)) -> Type) (a6989586621679362341 :: a ~> (b ~> c)) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (LiftA2Sym0 :: TyFun (a ~> (b ~> c)) (f a ~> (f b ~> f c)) -> Type) (a6989586621679362341 :: a ~> (b ~> c)) = LiftA2Sym1 a6989586621679362341 :: TyFun (f a) (f b ~> f c) -> Type

data LiftA2Sym1 (a6989586621679362341 :: (~>) a ((~>) b c)) :: (~>) (f a) ((~>) (f b) (f c)) Source #

Instances

Instances details

SApplicative f => SingI1 (LiftA2Sym1 :: (a ~> (b ~> c)) -> TyFun (f a) (f b ~> f c) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (LiftA2Sym1 x) Source #
(SApplicative f, SingI d) => SingI (LiftA2Sym1 d :: TyFun (f a) (f b ~> f c) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (LiftA2Sym1 d) Source #
SuppressUnusedWarnings (LiftA2Sym1 a6989586621679362341 :: TyFun (f a) (f b ~> f c) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (LiftA2Sym1 a6989586621679362341 :: TyFun (f a) (f b ~> f c) -> Type) (a6989586621679362342 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (LiftA2Sym1 a6989586621679362341 :: TyFun (f a) (f b ~> f c) -> Type) (a6989586621679362342 :: f a) = LiftA2Sym2 a6989586621679362341 a6989586621679362342

data LiftA2Sym2 (a6989586621679362341 :: (~>) a ((~>) b c)) (a6989586621679362342 :: f a) :: (~>) (f b) (f c) Source #

Instances

Instances details

(SApplicative f, SingI d) => SingI1 (LiftA2Sym2 d :: f a -> TyFun (f b) (f c) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (LiftA2Sym2 d x) Source #
SApplicative f => SingI2 (LiftA2Sym2 :: (a ~> (b ~> c)) -> f a -> TyFun (f b) (f c) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (LiftA2Sym2 x y) Source #
(SApplicative f, SingI d1, SingI d2) => SingI (LiftA2Sym2 d1 d2 :: TyFun (f b) (f c) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (LiftA2Sym2 d1 d2) Source #
SuppressUnusedWarnings (LiftA2Sym2 a6989586621679362341 a6989586621679362342 :: TyFun (f b) (f c) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (LiftA2Sym2 a6989586621679362341 a6989586621679362342 :: TyFun (f b) (f c) -> Type) (a6989586621679362343 :: f b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (LiftA2Sym2 a6989586621679362341 a6989586621679362342 :: TyFun (f b) (f c) -> Type) (a6989586621679362343 :: f b) = LiftA2 a6989586621679362341 a6989586621679362342 a6989586621679362343

type family LiftA2Sym3 (a6989586621679362341 :: (~>) a ((~>) b c)) (a6989586621679362342 :: f a) (a6989586621679362343 :: f b) :: f c where ... Source #

Equations

LiftA2Sym3 a6989586621679362341 a6989586621679362342 a6989586621679362343 = LiftA2 a6989586621679362341 a6989586621679362342 a6989586621679362343

data LiftA3Sym0 :: (~>) ((~>) a ((~>) b ((~>) c d))) ((~>) (f a) ((~>) (f b) ((~>) (f c) (f d)))) Source #

Instances

Instances details

SApplicative f => SingI (LiftA3Sym0 :: TyFun (a ~> (b ~> (c ~> d))) (f a ~> (f b ~> (f c ~> f d))) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing LiftA3Sym0 Source #
SuppressUnusedWarnings (LiftA3Sym0 :: TyFun (a ~> (b ~> (c ~> d))) (f a ~> (f b ~> (f c ~> f d))) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (LiftA3Sym0 :: TyFun (a ~> (b ~> (c ~> d))) (f a ~> (f b ~> (f c ~> f d))) -> Type) (a6989586621679362273 :: a ~> (b ~> (c ~> d))) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (LiftA3Sym0 :: TyFun (a ~> (b ~> (c ~> d))) (f a ~> (f b ~> (f c ~> f d))) -> Type) (a6989586621679362273 :: a ~> (b ~> (c ~> d))) = LiftA3Sym1 a6989586621679362273 :: TyFun (f a) (f b ~> (f c ~> f d)) -> Type

data LiftA3Sym1 (a6989586621679362273 :: (~>) a ((~>) b ((~>) c d))) :: (~>) (f a) ((~>) (f b) ((~>) (f c) (f d))) Source #

Instances

Instances details

SApplicative f => SingI1 (LiftA3Sym1 :: (a ~> (b ~> (c ~> d))) -> TyFun (f a) (f b ~> (f c ~> f d)) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (LiftA3Sym1 x) Source #
(SApplicative f, SingI d2) => SingI (LiftA3Sym1 d2 :: TyFun (f a) (f b ~> (f c ~> f d1)) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (LiftA3Sym1 d2) Source #
SuppressUnusedWarnings (LiftA3Sym1 a6989586621679362273 :: TyFun (f a) (f b ~> (f c ~> f d)) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (LiftA3Sym1 a6989586621679362273 :: TyFun (f a) (f b ~> (f c ~> f d)) -> Type) (a6989586621679362274 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (LiftA3Sym1 a6989586621679362273 :: TyFun (f a) (f b ~> (f c ~> f d)) -> Type) (a6989586621679362274 :: f a) = LiftA3Sym2 a6989586621679362273 a6989586621679362274

data LiftA3Sym2 (a6989586621679362273 :: (~>) a ((~>) b ((~>) c d))) (a6989586621679362274 :: f a) :: (~>) (f b) ((~>) (f c) (f d)) Source #

Instances

Instances details

(SApplicative f, SingI d2) => SingI1 (LiftA3Sym2 d2 :: f a -> TyFun (f b) (f c ~> f d1) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (LiftA3Sym2 d2 x) Source #
SApplicative f => SingI2 (LiftA3Sym2 :: (a ~> (b ~> (c ~> d))) -> f a -> TyFun (f b) (f c ~> f d) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (LiftA3Sym2 x y) Source #
(SApplicative f, SingI d2, SingI d3) => SingI (LiftA3Sym2 d2 d3 :: TyFun (f b) (f c ~> f d1) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (LiftA3Sym2 d2 d3) Source #
SuppressUnusedWarnings (LiftA3Sym2 a6989586621679362273 a6989586621679362274 :: TyFun (f b) (f c ~> f d) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (LiftA3Sym2 a6989586621679362273 a6989586621679362274 :: TyFun (f b) (f c ~> f d) -> Type) (a6989586621679362275 :: f b) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (LiftA3Sym2 a6989586621679362273 a6989586621679362274 :: TyFun (f b) (f c ~> f d) -> Type) (a6989586621679362275 :: f b) = LiftA3Sym3 a6989586621679362273 a6989586621679362274 a6989586621679362275

data LiftA3Sym3 (a6989586621679362273 :: (~>) a ((~>) b ((~>) c d))) (a6989586621679362274 :: f a) (a6989586621679362275 :: f b) :: (~>) (f c) (f d) Source #

Instances

Instances details

(SApplicative f, SingI d2) => SingI2 (LiftA3Sym3 d2 :: f a -> f b -> TyFun (f c) (f d1) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (LiftA3Sym3 d2 x y) Source #
(SApplicative f, SingI d2, SingI d3) => SingI1 (LiftA3Sym3 d2 d3 :: f b -> TyFun (f c) (f d1) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing (LiftA3Sym3 d2 d3 x) Source #
(SApplicative f, SingI d2, SingI d3, SingI d4) => SingI (LiftA3Sym3 d2 d3 d4 :: TyFun (f c) (f d1) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (LiftA3Sym3 d2 d3 d4) Source #
SuppressUnusedWarnings (LiftA3Sym3 a6989586621679362273 a6989586621679362274 a6989586621679362275 :: TyFun (f c) (f d) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply (LiftA3Sym3 a6989586621679362273 a6989586621679362274 a6989586621679362275 :: TyFun (f c) (f d) -> Type) (a6989586621679362276 :: f c) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply (LiftA3Sym3 a6989586621679362273 a6989586621679362274 a6989586621679362275 :: TyFun (f c) (f d) -> Type) (a6989586621679362276 :: f c) = LiftA3 a6989586621679362273 a6989586621679362274 a6989586621679362275 a6989586621679362276

data OptionalSym0 :: (~>) (f a) (f (Maybe a)) Source #

Instances

Instances details

SAlternative f => SingI (OptionalSym0 :: TyFun (f a) (f (Maybe a)) -> Type) Source #
Instance details Defined in Control.Applicative.Singletons Methods sing :: Sing OptionalSym0 Source #
SuppressUnusedWarnings (OptionalSym0 :: TyFun (f a) (f (Maybe a)) -> Type) Source #
Instance details Defined in Control.Applicative.Singletons Methods suppressUnusedWarnings :: () Source #
type Apply (OptionalSym0 :: TyFun (f a) (f (Maybe a)) -> Type) (a6989586621681095066 :: f a) Source #
Instance details Defined in Control.Applicative.Singletons type Apply (OptionalSym0 :: TyFun (f a) (f (Maybe a)) -> Type) (a6989586621681095066 :: f a) = Optional a6989586621681095066

type family OptionalSym1 (a6989586621681095066 :: f a) :: f (Maybe a) where ... Source #

Equations

OptionalSym1 a6989586621681095066 = Optional a6989586621681095066

Orphan instances

PApplicative Down Source #
Instance details Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
SApplicative Down Source #
Instance details Methods sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a b (t1 :: Down (a ~> b)) (t2 :: Down a). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a b c (t1 :: a ~> (b ~> c)) (t2 :: Down a) (t3 :: Down b). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a b (t1 :: Down a) (t2 :: Down b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a b (t1 :: Down a) (t2 :: Down b). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #
PApplicative ((,) a) Source #
Instance details Associated Types type Pure arg :: f a Source # type arg <> arg1 :: f b Source # type LiftA2 arg arg1 arg2 :: f c Source # type arg > arg1 :: f b Source # type arg <* arg1 :: f a Source #
SMonoid a => SApplicative ((,) a) Source #
Instance details Methods sPure :: forall a0 (t :: a0). Sing t -> Sing (Apply PureSym0 t) Source # (%<>) :: forall a0 b (t1 :: (a, a0 ~> b)) (t2 :: (a, a0)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<>@#@$) t1) t2) Source # sLiftA2 :: forall a0 b c (t1 :: a0 ~> (b ~> c)) (t2 :: (a, a0)) (t3 :: (a, b)). Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply LiftA2Sym0 t1) t2) t3) Source # (%>) :: forall a0 b (t1 :: (a, a0)) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) Source # (%<) :: forall a0 b (t1 :: (a, a0)) (t2 :: (a, b)). Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) Source #

SAlternative f => SingI ((<\|>@#@$) :: TyFun (f a) (f a ~> f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing (<\|>@#@$) Source #
SuppressUnusedWarnings ((<\|>@#@$) :: TyFun (f a) (f a ~> f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((<\|>@#@$) :: TyFun (f a) (f a ~> f a) -> Type) (a6989586621679362456 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<\|>@#@$) :: TyFun (f a) (f a ~> f a) -> Type) (a6989586621679362456 :: f a) = (<\|>@#@$$) a6989586621679362456

SAlternative f => SingI1 ((<\|>@#@$$) :: f a -> TyFun (f a) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods liftSing :: forall (x :: k1). Sing x -> Sing ((<\|>@#@$$) x) Source #
(SAlternative f, SingI d) => SingI ((<\|>@#@$$) d :: TyFun (f a) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods sing :: Sing ((<\|>@#@$$) d) Source #
SuppressUnusedWarnings ((<\|>@#@$$) a6989586621679362456 :: TyFun (f a) (f a) -> Type) Source #
Instance details Defined in Control.Monad.Singletons.Internal Methods suppressUnusedWarnings :: () Source #
type Apply ((<\|>@#@$$) a6989586621679362456 :: TyFun (f a) (f a) -> Type) (a6989586621679362457 :: f a) Source #
Instance details Defined in Control.Monad.Singletons.Internal type Apply ((<\|>@#@$$) a6989586621679362456 :: TyFun (f a) (f a) -> Type) (a6989586621679362457 :: f a) = a6989586621679362456 <\|> a6989586621679362457