Data.Semigroup.Singletons

Defines the promoted version of Semigroup, PSemigroup, and the singleton version, SSemigroup.

Documentation

class PSemigroup a

Associated Types

type (arg :: a) <> (arg :: a) :: a infixr 6

type Sconcat (arg :: NonEmpty a) :: a

type Sconcat a = Apply Sconcat_6989586621679688710Sym0 a

Instances

PSemigroup All

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup Any

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup Void

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup Ordering

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup ()

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup Symbol

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (Identity a)

Defined in Data.Functor.Identity.Singletons

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (First a)

Defined in Data.Monoid.Singletons

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (Last a)

Defined in Data.Monoid.Singletons

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (Down a)

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (First a)

Defined in Data.Semigroup.Singletons

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (Last a)

Defined in Data.Semigroup.Singletons

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (Max a)

Defined in Data.Semigroup.Singletons

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (Min a)

Defined in Data.Semigroup.Singletons

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (WrappedMonoid m)

Defined in Data.Semigroup.Singletons

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (Dual a)

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (Product a)

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (Sum a)

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (NonEmpty a)

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (Maybe a)

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup [a]

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (Either a b)

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (Proxy s)

Defined in Data.Proxy.Singletons

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (a ~> b)

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (a, b)

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (Const a b)

Defined in Data.Functor.Const.Singletons

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (a, b, c)

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (a, b, c, d)

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (a, b, c, d, e)

Defined in Data.Semigroup.Singletons.Internal

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

class SSemigroup a where

Minimal complete definition

(%<>)

Methods

(%<>) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t :: a) infixr 6

sSconcat :: forall (t :: NonEmpty a). Sing t -> Sing (Apply SconcatSym0 t :: a)

default sSconcat :: forall (t :: NonEmpty a). (Apply SconcatSym0 t :: a) ~ Apply Sconcat_6989586621679688710Sym0 t => Sing t -> Sing (Apply SconcatSym0 t :: a)

Instances

SSemigroup All

Defined in Data.Semigroup.Singletons.Internal

Methods

(%<>) :: forall (t :: All) (t :: All). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t)

sSconcat :: forall (t :: NonEmpty All). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup Any

Defined in Data.Semigroup.Singletons.Internal

Methods

(%<>) :: forall (t :: Any) (t :: Any). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t)

sSconcat :: forall (t :: NonEmpty Any). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup Void

Defined in Data.Semigroup.Singletons.Internal

Methods

(%<>) :: forall (t :: Void) (t :: Void). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t)

sSconcat :: forall (t :: NonEmpty Void). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup Ordering

Defined in Data.Semigroup.Singletons.Internal

Methods

(%<>) :: forall (t :: Ordering) (t :: Ordering). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t)

sSconcat :: forall (t :: NonEmpty Ordering). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup ()

Defined in Data.Semigroup.Singletons.Internal

Methods

(%<>) :: forall (t :: ()) (t :: ()). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t)

sSconcat :: forall (t :: NonEmpty ()). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup Symbol

Defined in Data.Semigroup.Singletons.Internal

Methods

(%<>) :: forall (t :: Symbol) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t)

sSconcat :: forall (t :: NonEmpty Symbol). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup a => SSemigroup (Identity a)

Defined in Data.Functor.Identity.Singletons

Methods

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

sSconcat :: forall (t :: NonEmpty (Identity a)). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup (First a)

Defined in Data.Monoid.Singletons

Methods

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

sSconcat :: forall (t :: NonEmpty (First a)). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup (Last a)

Defined in Data.Monoid.Singletons

Methods

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

sSconcat :: forall (t :: NonEmpty (Last a)). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup a => SSemigroup (Down a)

Defined in Data.Semigroup.Singletons.Internal

Methods

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

sSconcat :: forall (t :: NonEmpty (Down a)). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup (First a)

Defined in Data.Semigroup.Singletons

Methods

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

sSconcat :: forall (t :: NonEmpty (First a)). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup (Last a)

Defined in Data.Semigroup.Singletons

Methods

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

sSconcat :: forall (t :: NonEmpty (Last a)). Sing t -> Sing (Apply SconcatSym0 t)

SOrd a => SSemigroup (Max a)

Defined in Data.Semigroup.Singletons

Methods

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

sSconcat :: forall (t :: NonEmpty (Max a)). Sing t -> Sing (Apply SconcatSym0 t)

SOrd a => SSemigroup (Min a)

Defined in Data.Semigroup.Singletons

Methods

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

sSconcat :: forall (t :: NonEmpty (Min a)). Sing t -> Sing (Apply SconcatSym0 t)

SMonoid m => SSemigroup (WrappedMonoid m)

Defined in Data.Semigroup.Singletons

Methods

(%<>) :: forall (t :: WrappedMonoid m) (t :: WrappedMonoid m). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t)

sSconcat :: forall (t :: NonEmpty (WrappedMonoid m)). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup a => SSemigroup (Dual a)

Defined in Data.Semigroup.Singletons.Internal

Methods

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

sSconcat :: forall (t :: NonEmpty (Dual a)). Sing t -> Sing (Apply SconcatSym0 t)

SNum a => SSemigroup (Product a)

Defined in Data.Semigroup.Singletons.Internal

Methods

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

sSconcat :: forall (t :: NonEmpty (Product a)). Sing t -> Sing (Apply SconcatSym0 t)

SNum a => SSemigroup (Sum a)

Defined in Data.Semigroup.Singletons.Internal

Methods

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

sSconcat :: forall (t :: NonEmpty (Sum a)). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup (NonEmpty a)

Defined in Data.Semigroup.Singletons.Internal

Methods

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

sSconcat :: forall (t :: NonEmpty (NonEmpty a)). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup a => SSemigroup (Maybe a)

Defined in Data.Semigroup.Singletons.Internal

Methods

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

sSconcat :: forall (t :: NonEmpty (Maybe a)). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup [a]

Defined in Data.Semigroup.Singletons.Internal

Methods

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

sSconcat :: forall (t :: NonEmpty [a]). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup (Either a b)

Defined in Data.Semigroup.Singletons.Internal

Methods

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

sSconcat :: forall (t :: NonEmpty (Either a b)). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup (Proxy s)

Defined in Data.Proxy.Singletons

Methods

(%<>) :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t)

sSconcat :: forall (t :: NonEmpty (Proxy s)). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup b => SSemigroup (a ~> b)

Defined in Data.Semigroup.Singletons.Internal

Methods

(%<>) :: forall (t :: a ~> b) (t :: a ~> b). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t)

sSconcat :: forall (t :: NonEmpty (a ~> b)). Sing t -> Sing (Apply SconcatSym0 t)

(SSemigroup a, SSemigroup b) => SSemigroup (a, b)

Defined in Data.Semigroup.Singletons.Internal

Methods

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

sSconcat :: forall (t :: NonEmpty (a, b)). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup a => SSemigroup (Const a b)

Defined in Data.Functor.Const.Singletons

Methods

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

sSconcat :: forall (t :: NonEmpty (Const a b)). Sing t -> Sing (Apply SconcatSym0 t)

(SSemigroup a, SSemigroup b, SSemigroup c) => SSemigroup (a, b, c)

Defined in Data.Semigroup.Singletons.Internal

Methods

(%<>) :: forall (t :: (a, b, c)) (t :: (a, b, c)). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t)

sSconcat :: forall (t :: NonEmpty (a, b, c)). Sing t -> Sing (Apply SconcatSym0 t)

(SSemigroup a, SSemigroup b, SSemigroup c, SSemigroup d) => SSemigroup (a, b, c, d)

Defined in Data.Semigroup.Singletons.Internal

Methods

(%<>) :: forall (t :: (a, b, c, d)) (t :: (a, b, c, d)). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t)

sSconcat :: forall (t :: NonEmpty (a, b, c, d)). Sing t -> Sing (Apply SconcatSym0 t)

(SSemigroup a, SSemigroup b, SSemigroup c, SSemigroup d, SSemigroup e) => SSemigroup (a, b, c, d, e)

Defined in Data.Semigroup.Singletons.Internal

Methods

(%<>) :: forall (t :: (a, b, c, d, e)) (t :: (a, b, c, d, e)). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t)

sSconcat :: forall (t :: NonEmpty (a, b, c, d, e)). Sing t -> Sing (Apply SconcatSym0 t)

type family Sing :: k -> Type

Instances

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SAll

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SAny

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SVoid

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SOrdering

type Sing

Defined in Data.Singletons.Base.TypeError

type Sing = SErrorMessage

type Sing

Defined in GHC.TypeLits.Singletons.Internal

type Sing = SNat

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple0

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SBool

type Sing

Defined in GHC.TypeLits.Singletons.Internal

type Sing = SChar

type Sing

Defined in GHC.TypeLits.Singletons.Internal

type Sing = SSymbol

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SIdentity :: Identity a -> Type

type Sing

Defined in Data.Monoid.Singletons

type Sing = SFirst :: First a -> Type

type Sing

Defined in Data.Monoid.Singletons

type Sing = SLast :: Last a -> Type

type Sing

Defined in Data.Ord.Singletons

type Sing = SDown :: Down a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SFirst :: First a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SLast :: Last a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SMax :: Max a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SMin :: Min a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SWrappedMonoid :: WrappedMonoid m -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SDual :: Dual a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SProduct :: Product a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal

type Sing = SSum :: Sum a -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SNonEmpty :: NonEmpty a -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SMaybe :: Maybe a -> Type

type Sing

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 TypeReps (for instance, TypeReps 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.

Defined in Data.Singletons.Base.TypeRepTYPE

type Sing = TypeRep :: TYPE rep -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SList :: [a] -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SEither :: Either a b -> Type

type Sing

Defined in Data.Proxy.Singletons

type Sing = SProxy :: Proxy t -> Type

type Sing

Defined in Data.Semigroup.Singletons

type Sing = SArg :: Arg a b -> Type

type Sing

Defined in Data.Singletons

type Sing = SWrappedSing :: WrappedSing a -> Type

type Sing

Defined in Data.Singletons

type Sing = SLambda :: (k1 ~> k2) -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple2 :: (a, b) -> Type

type Sing

Defined in Data.Functor.Const.Singletons

type Sing = SConst :: Const a b -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple3 :: (a, b, c) -> Type

type Sing

Defined in Data.Functor.Product.Singletons

type Sing = SProduct :: Product f g a -> Type

type Sing

Defined in Data.Functor.Sum.Singletons

type Sing = SSum :: Sum f g a -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple4 :: (a, b, c, d) -> Type

type Sing

Defined in Data.Functor.Compose.Singletons

type Sing = SCompose :: Compose f g a -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple5 :: (a, b, c, d, e) -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple6 :: (a, b, c, d, e, f) -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple7 :: (a, b, c, d, e, f, g) -> Type

data SMin :: forall (a :: Type). Min a -> Type where

Constructors

SMin :: forall (a :: Type) (n :: a). (Sing n) -> SMin ('Min n :: Min (a :: Type))

Instances

SDecide a => TestCoercion (SMin :: Min a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

testCoercion :: forall (a0 :: k) (b :: k). SMin a0 -> SMin b -> Maybe (Coercion a0 b)

SDecide a => TestEquality (SMin :: Min a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

testEquality :: forall (a0 :: k) (b :: k). SMin a0 -> SMin b -> Maybe (a0 :~: b)

ShowSing a => Show (SMin z)

Defined in Data.Semigroup.Singletons

Methods

showsPrec :: Int -> SMin z -> ShowS

show :: SMin z -> String

showList :: [SMin z] -> ShowS

data SMax :: forall (a :: Type). Max a -> Type where

Constructors

SMax :: forall (a :: Type) (n :: a). (Sing n) -> SMax ('Max n :: Max (a :: Type))

Instances

SDecide a => TestCoercion (SMax :: Max a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

testCoercion :: forall (a0 :: k) (b :: k). SMax a0 -> SMax b -> Maybe (Coercion a0 b)

SDecide a => TestEquality (SMax :: Max a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

testEquality :: forall (a0 :: k) (b :: k). SMax a0 -> SMax b -> Maybe (a0 :~: b)

ShowSing a => Show (SMax z)

Defined in Data.Semigroup.Singletons

Methods

showsPrec :: Int -> SMax z -> ShowS

show :: SMax z -> String

showList :: [SMax z] -> ShowS

data SFirst :: forall (a :: Type). First a -> Type where

Constructors

SFirst :: forall (a :: Type) (n :: a). (Sing n) -> SFirst ('First n :: First (a :: Type))

Instances

SDecide a => TestCoercion (SFirst :: First a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

testCoercion :: forall (a0 :: k) (b :: k). SFirst a0 -> SFirst b -> Maybe (Coercion a0 b)

SDecide a => TestEquality (SFirst :: First a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

testEquality :: forall (a0 :: k) (b :: k). SFirst a0 -> SFirst b -> Maybe (a0 :~: b)

ShowSing a => Show (SFirst z)

Defined in Data.Semigroup.Singletons

Methods

showsPrec :: Int -> SFirst z -> ShowS

show :: SFirst z -> String

showList :: [SFirst z] -> ShowS

data SLast :: forall (a :: Type). Last a -> Type where

Constructors

SLast :: forall (a :: Type) (n :: a). (Sing n) -> SLast ('Last n :: Last (a :: Type))

Instances

SDecide a => TestCoercion (SLast :: Last a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

testCoercion :: forall (a0 :: k) (b :: k). SLast a0 -> SLast b -> Maybe (Coercion a0 b)

SDecide a => TestEquality (SLast :: Last a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

testEquality :: forall (a0 :: k) (b :: k). SLast a0 -> SLast b -> Maybe (a0 :~: b)

ShowSing a => Show (SLast z)

Defined in Data.Semigroup.Singletons

Methods

showsPrec :: Int -> SLast z -> ShowS

show :: SLast z -> String

showList :: [SLast z] -> ShowS

data SWrappedMonoid :: forall (m :: Type). WrappedMonoid m -> Type where

Constructors

SWrapMonoid :: forall (m :: Type) (n :: m). (Sing n) -> SWrappedMonoid ('WrapMonoid n :: WrappedMonoid (m :: Type))

Instances

SDecide m => TestCoercion (SWrappedMonoid :: WrappedMonoid m -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

testCoercion :: forall (a :: k) (b :: k). SWrappedMonoid a -> SWrappedMonoid b -> Maybe (Coercion a b)

SDecide m => TestEquality (SWrappedMonoid :: WrappedMonoid m -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

testEquality :: forall (a :: k) (b :: k). SWrappedMonoid a -> SWrappedMonoid b -> Maybe (a :~: b)

ShowSing m => Show (SWrappedMonoid z)

Defined in Data.Semigroup.Singletons

Methods

showsPrec :: Int -> SWrappedMonoid z -> ShowS

show :: SWrappedMonoid z -> String

showList :: [SWrappedMonoid z] -> ShowS

data SDual :: forall (a :: Type). Dual a -> Type where

Constructors

SDual :: forall (a :: Type) (n :: a). (Sing n) -> SDual ('Dual n :: Dual (a :: Type))

Instances

SDecide a => TestCoercion (SDual :: Dual a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

testCoercion :: forall (a0 :: k) (b :: k). SDual a0 -> SDual b -> Maybe (Coercion a0 b)

SDecide a => TestEquality (SDual :: Dual a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

testEquality :: forall (a0 :: k) (b :: k). SDual a0 -> SDual b -> Maybe (a0 :~: b)

ShowSing a => Show (SDual z)

Defined in Data.Semigroup.Singletons

Methods

showsPrec :: Int -> SDual z -> ShowS

show :: SDual z -> String

showList :: [SDual z] -> ShowS

data SAll :: All -> Type where

Constructors

SAll :: forall (n :: Bool). (Sing n) -> SAll ('All n :: All)

Instances

SDecide Bool => TestCoercion SAll

Defined in Data.Semigroup.Singletons.Internal

Methods

testCoercion :: forall (a :: k) (b :: k). SAll a -> SAll b -> Maybe (Coercion a b)

SDecide Bool => TestEquality SAll

Defined in Data.Semigroup.Singletons.Internal

Methods

testEquality :: forall (a :: k) (b :: k). SAll a -> SAll b -> Maybe (a :~: b)

ShowSing Bool => Show (SAll z)

Defined in Data.Semigroup.Singletons

Methods

showsPrec :: Int -> SAll z -> ShowS

show :: SAll z -> String

showList :: [SAll z] -> ShowS

data SAny :: Any -> Type where

Constructors

SAny :: forall (n :: Bool). (Sing n) -> SAny ('Any n :: Any)

Instances

SDecide Bool => TestCoercion SAny

Defined in Data.Semigroup.Singletons.Internal

Methods

testCoercion :: forall (a :: k) (b :: k). SAny a -> SAny b -> Maybe (Coercion a b)

SDecide Bool => TestEquality SAny

Defined in Data.Semigroup.Singletons.Internal

Methods

testEquality :: forall (a :: k) (b :: k). SAny a -> SAny b -> Maybe (a :~: b)

ShowSing Bool => Show (SAny z)

Defined in Data.Semigroup.Singletons

Methods

showsPrec :: Int -> SAny z -> ShowS

show :: SAny z -> String

showList :: [SAny z] -> ShowS

data SSum :: forall (a :: Type). Sum a -> Type where

Constructors

SSum :: forall (a :: Type) (n :: a). (Sing n) -> SSum ('Sum n :: Sum (a :: Type))

Instances

SDecide a => TestCoercion (SSum :: Sum a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

testCoercion :: forall (a0 :: k) (b :: k). SSum a0 -> SSum b -> Maybe (Coercion a0 b)

SDecide a => TestEquality (SSum :: Sum a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

testEquality :: forall (a0 :: k) (b :: k). SSum a0 -> SSum b -> Maybe (a0 :~: b)

ShowSing a => Show (SSum z)

Defined in Data.Semigroup.Singletons

Methods

showsPrec :: Int -> SSum z -> ShowS

show :: SSum z -> String

showList :: [SSum z] -> ShowS

data SProduct :: forall (a :: Type). Product a -> Type where

Constructors

SProduct :: forall (a :: Type) (n :: a). (Sing n) -> SProduct ('Product n :: Product (a :: Type))

Instances

SDecide a => TestCoercion (SProduct :: Product a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

testCoercion :: forall (a0 :: k) (b :: k). SProduct a0 -> SProduct b -> Maybe (Coercion a0 b)

SDecide a => TestEquality (SProduct :: Product a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

testEquality :: forall (a0 :: k) (b :: k). SProduct a0 -> SProduct b -> Maybe (a0 :~: b)

ShowSing a => Show (SProduct z)

Defined in Data.Semigroup.Singletons

Methods

showsPrec :: Int -> SProduct z -> ShowS

show :: SProduct z -> String

showList :: [SProduct z] -> ShowS

data SArg :: forall (a :: Type) (b :: Type). Arg a b -> Type where

Constructors

SArg :: forall (a :: Type) (b :: Type) (n :: a) (n :: b). (Sing n) -> (Sing n) -> SArg ('Arg n n :: Arg (a :: Type) (b :: Type))

Instances

(ShowSing a, ShowSing b) => Show (SArg z)

Defined in Data.Semigroup.Singletons

Methods

showsPrec :: Int -> SArg z -> ShowS

show :: SArg z -> String

showList :: [SArg z] -> ShowS

type family GetMin (a :: Min (a :: Type)) :: a where ...

Equations

GetMin ('Min field) = field

type family GetMax (a :: Max (a :: Type)) :: a where ...

Equations

GetMax ('Max field) = field

type family GetFirst (a :: First (a :: Type)) :: a where ...

Equations

GetFirst ('First field) = field

type family GetLast (a :: Last (a :: Type)) :: a where ...

Equations

GetLast ('Last field) = field

type family UnwrapMonoid (a :: WrappedMonoid (m :: Type)) :: m where ...

Equations

UnwrapMonoid ('WrapMonoid field) = field

type family GetDual (a :: Dual (a :: Type)) :: a where ...

Equations

GetDual ('Dual field) = field

type family GetAll (a :: All) :: Bool where ...

Equations

GetAll ('All field) = field

type family GetAny (a :: Any) :: Bool where ...

Equations

GetAny ('Any field) = field

type family GetSum (a :: Sum (a :: Type)) :: a where ...

Equations

GetSum ('Sum field) = field

type family GetProduct (a :: Product (a :: Type)) :: a where ...

Equations

GetProduct ('Product field) = field

sGetMin :: forall (a :: Type) (t :: Min (a :: Type)). Sing t -> Sing (Apply GetMinSym0 t :: a)

sGetMax :: forall (a :: Type) (t :: Max (a :: Type)). Sing t -> Sing (Apply GetMaxSym0 t :: a)

sGetFirst :: forall (a :: Type) (t :: First (a :: Type)). Sing t -> Sing (Apply GetFirstSym0 t :: a)

sGetLast :: forall (a :: Type) (t :: Last (a :: Type)). Sing t -> Sing (Apply GetLastSym0 t :: a)

sUnwrapMonoid :: forall (m :: Type) (t :: WrappedMonoid (m :: Type)). Sing t -> Sing (Apply UnwrapMonoidSym0 t :: m)

sGetDual :: forall (a :: Type) (t :: Dual (a :: Type)). Sing t -> Sing (Apply GetDualSym0 t :: a)

sGetAll :: forall (t :: All). Sing t -> Sing (Apply GetAllSym0 t :: Bool)

sGetAny :: forall (t :: Any). Sing t -> Sing (Apply GetAnySym0 t :: Bool)

sGetSum :: forall (a :: Type) (t :: Sum (a :: Type)). Sing t -> Sing (Apply GetSumSym0 t :: a)

sGetProduct :: forall (a :: Type) (t :: Product (a :: Type)). Sing t -> Sing (Apply GetProductSym0 t :: a)

Defunctionalization symbols

data (<>@#@$) :: (~>) a ((~>) a a) infixr 6

Instances

SSemigroup a => SingI ((<>@#@$) :: TyFun a (a ~> a) -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

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

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

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply ((<>@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679688704 :: a)

Defined in Data.Semigroup.Singletons.Internal

type Apply ((<>@#@$) :: TyFun a (a ~> a) -> Type) (a6989586621679688704 :: a) = (<>@#@$$) a6989586621679688704

data (<>@#@$$) (a6989586621679688704 :: a) :: (~>) a a infixr 6

Instances

SSemigroup a => SingI1 ((<>@#@$$) :: a -> TyFun a a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

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

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

Defined in Data.Semigroup.Singletons.Internal

Methods

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

SuppressUnusedWarnings ((<>@#@$$) a6989586621679688704 :: TyFun a a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply ((<>@#@$$) a6989586621679688704 :: TyFun a a -> Type) (a6989586621679688705 :: a)

Defined in Data.Semigroup.Singletons.Internal

type Apply ((<>@#@$$) a6989586621679688704 :: TyFun a a -> Type) (a6989586621679688705 :: a) = a6989586621679688704 <> a6989586621679688705

type family (a6989586621679688704 :: a) <>@#@$$$ (a6989586621679688705 :: a) :: a where ... infixr 6

Equations

a6989586621679688704 <>@#@$$$ a6989586621679688705 = (<>) a6989586621679688704 a6989586621679688705

data SconcatSym0 :: (~>) (NonEmpty a) a

Instances

SSemigroup a => SingI (SconcatSym0 :: TyFun (NonEmpty a) a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing SconcatSym0

SuppressUnusedWarnings (SconcatSym0 :: TyFun (NonEmpty a) a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (SconcatSym0 :: TyFun (NonEmpty a) a -> Type) (a6989586621679688708 :: NonEmpty a)

Defined in Data.Semigroup.Singletons.Internal

type Apply (SconcatSym0 :: TyFun (NonEmpty a) a -> Type) (a6989586621679688708 :: NonEmpty a) = Sconcat a6989586621679688708

type family SconcatSym1 (a6989586621679688708 :: NonEmpty a) :: a where ...

Equations

SconcatSym1 a6989586621679688708 = Sconcat a6989586621679688708

data MinSym0 :: (~>) a (Min (a :: Type))

Instances

SingI (MinSym0 :: TyFun a (Min a) -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing MinSym0

SuppressUnusedWarnings (MinSym0 :: TyFun a (Min a) -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (MinSym0 :: TyFun a (Min a) -> Type) (a6989586621679700185 :: a)

Defined in Data.Semigroup.Singletons.Internal

type Apply (MinSym0 :: TyFun a (Min a) -> Type) (a6989586621679700185 :: a) = 'Min a6989586621679700185

type family MinSym1 (a6989586621679700185 :: a) :: Min (a :: Type) where ...

Equations

MinSym1 a6989586621679700185 = 'Min a6989586621679700185

data GetMinSym0 :: (~>) (Min (a :: Type)) a

Instances

SingI (GetMinSym0 :: TyFun (Min a) a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing GetMinSym0

SuppressUnusedWarnings (GetMinSym0 :: TyFun (Min a) a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (GetMinSym0 :: TyFun (Min a) a -> Type) (a6989586621679700188 :: Min a)

Defined in Data.Semigroup.Singletons.Internal

type Apply (GetMinSym0 :: TyFun (Min a) a -> Type) (a6989586621679700188 :: Min a) = GetMin a6989586621679700188

type family GetMinSym1 (a6989586621679700188 :: Min (a :: Type)) :: a where ...

Equations

GetMinSym1 a6989586621679700188 = GetMin a6989586621679700188

data MaxSym0 :: (~>) a (Max (a :: Type))

Instances

SingI (MaxSym0 :: TyFun a (Max a) -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing MaxSym0

SuppressUnusedWarnings (MaxSym0 :: TyFun a (Max a) -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (MaxSym0 :: TyFun a (Max a) -> Type) (a6989586621679700204 :: a)

Defined in Data.Semigroup.Singletons.Internal

type Apply (MaxSym0 :: TyFun a (Max a) -> Type) (a6989586621679700204 :: a) = 'Max a6989586621679700204

type family MaxSym1 (a6989586621679700204 :: a) :: Max (a :: Type) where ...

Equations

MaxSym1 a6989586621679700204 = 'Max a6989586621679700204

data GetMaxSym0 :: (~>) (Max (a :: Type)) a

Instances

SingI (GetMaxSym0 :: TyFun (Max a) a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing GetMaxSym0

SuppressUnusedWarnings (GetMaxSym0 :: TyFun (Max a) a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (GetMaxSym0 :: TyFun (Max a) a -> Type) (a6989586621679700207 :: Max a)

Defined in Data.Semigroup.Singletons.Internal

type Apply (GetMaxSym0 :: TyFun (Max a) a -> Type) (a6989586621679700207 :: Max a) = GetMax a6989586621679700207

type family GetMaxSym1 (a6989586621679700207 :: Max (a :: Type)) :: a where ...

Equations

GetMaxSym1 a6989586621679700207 = GetMax a6989586621679700207

data FirstSym0 :: (~>) a (First (a :: Type))

Instances

SingI (FirstSym0 :: TyFun a (First a) -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing FirstSym0

SuppressUnusedWarnings (FirstSym0 :: TyFun a (First a) -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (FirstSym0 :: TyFun a (First a) -> Type) (a6989586621679700223 :: a)

Defined in Data.Semigroup.Singletons.Internal

type Apply (FirstSym0 :: TyFun a (First a) -> Type) (a6989586621679700223 :: a) = 'First a6989586621679700223

type family FirstSym1 (a6989586621679700223 :: a) :: First (a :: Type) where ...

Equations

FirstSym1 a6989586621679700223 = 'First a6989586621679700223

data GetFirstSym0 :: (~>) (First (a :: Type)) a

Instances

SingI (GetFirstSym0 :: TyFun (First a) a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing GetFirstSym0

SuppressUnusedWarnings (GetFirstSym0 :: TyFun (First a) a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (GetFirstSym0 :: TyFun (First a) a -> Type) (a6989586621679700226 :: First a)

Defined in Data.Semigroup.Singletons.Internal

type Apply (GetFirstSym0 :: TyFun (First a) a -> Type) (a6989586621679700226 :: First a) = GetFirst a6989586621679700226

type family GetFirstSym1 (a6989586621679700226 :: First (a :: Type)) :: a where ...

Equations

GetFirstSym1 a6989586621679700226 = GetFirst a6989586621679700226

data LastSym0 :: (~>) a (Last (a :: Type))

Instances

SingI (LastSym0 :: TyFun a (Last a) -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing LastSym0

SuppressUnusedWarnings (LastSym0 :: TyFun a (Last a) -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (LastSym0 :: TyFun a (Last a) -> Type) (a6989586621679700242 :: a)

Defined in Data.Semigroup.Singletons.Internal

type Apply (LastSym0 :: TyFun a (Last a) -> Type) (a6989586621679700242 :: a) = 'Last a6989586621679700242

type family LastSym1 (a6989586621679700242 :: a) :: Last (a :: Type) where ...

Equations

LastSym1 a6989586621679700242 = 'Last a6989586621679700242

data GetLastSym0 :: (~>) (Last (a :: Type)) a

Instances

SingI (GetLastSym0 :: TyFun (Last a) a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing GetLastSym0

SuppressUnusedWarnings (GetLastSym0 :: TyFun (Last a) a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (GetLastSym0 :: TyFun (Last a) a -> Type) (a6989586621679700245 :: Last a)

Defined in Data.Semigroup.Singletons.Internal

type Apply (GetLastSym0 :: TyFun (Last a) a -> Type) (a6989586621679700245 :: Last a) = GetLast a6989586621679700245

type family GetLastSym1 (a6989586621679700245 :: Last (a :: Type)) :: a where ...

Equations

GetLastSym1 a6989586621679700245 = GetLast a6989586621679700245

data WrapMonoidSym0 :: (~>) m (WrappedMonoid (m :: Type))

Instances

SingI (WrapMonoidSym0 :: TyFun m (WrappedMonoid m) -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing WrapMonoidSym0

SuppressUnusedWarnings (WrapMonoidSym0 :: TyFun m (WrappedMonoid m) -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (WrapMonoidSym0 :: TyFun m (WrappedMonoid m) -> Type) (a6989586621679700261 :: m)

Defined in Data.Semigroup.Singletons.Internal

type Apply (WrapMonoidSym0 :: TyFun m (WrappedMonoid m) -> Type) (a6989586621679700261 :: m) = 'WrapMonoid a6989586621679700261

type family WrapMonoidSym1 (a6989586621679700261 :: m) :: WrappedMonoid (m :: Type) where ...

Equations

WrapMonoidSym1 a6989586621679700261 = 'WrapMonoid a6989586621679700261

data UnwrapMonoidSym0 :: (~>) (WrappedMonoid (m :: Type)) m

Instances

SingI (UnwrapMonoidSym0 :: TyFun (WrappedMonoid m) m -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing UnwrapMonoidSym0

SuppressUnusedWarnings (UnwrapMonoidSym0 :: TyFun (WrappedMonoid m) m -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (UnwrapMonoidSym0 :: TyFun (WrappedMonoid m) m -> Type) (a6989586621679700264 :: WrappedMonoid m)

Defined in Data.Semigroup.Singletons.Internal

type Apply (UnwrapMonoidSym0 :: TyFun (WrappedMonoid m) m -> Type) (a6989586621679700264 :: WrappedMonoid m) = UnwrapMonoid a6989586621679700264

type family UnwrapMonoidSym1 (a6989586621679700264 :: WrappedMonoid (m :: Type)) :: m where ...

Equations

UnwrapMonoidSym1 a6989586621679700264 = UnwrapMonoid a6989586621679700264

data DualSym0 :: (~>) a (Dual (a :: Type))

Instances

SingI (DualSym0 :: TyFun a (Dual a) -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing DualSym0

SuppressUnusedWarnings (DualSym0 :: TyFun a (Dual a) -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (DualSym0 :: TyFun a (Dual a) -> Type) (a6989586621679700095 :: a)

Defined in Data.Semigroup.Singletons.Internal

type Apply (DualSym0 :: TyFun a (Dual a) -> Type) (a6989586621679700095 :: a) = 'Dual a6989586621679700095

type family DualSym1 (a6989586621679700095 :: a) :: Dual (a :: Type) where ...

Equations

DualSym1 a6989586621679700095 = 'Dual a6989586621679700095

data GetDualSym0 :: (~>) (Dual (a :: Type)) a

Instances

SingI (GetDualSym0 :: TyFun (Dual a) a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing GetDualSym0

SuppressUnusedWarnings (GetDualSym0 :: TyFun (Dual a) a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (GetDualSym0 :: TyFun (Dual a) a -> Type) (a6989586621679700098 :: Dual a)

Defined in Data.Semigroup.Singletons.Internal

type Apply (GetDualSym0 :: TyFun (Dual a) a -> Type) (a6989586621679700098 :: Dual a) = GetDual a6989586621679700098

type family GetDualSym1 (a6989586621679700098 :: Dual (a :: Type)) :: a where ...

Equations

GetDualSym1 a6989586621679700098 = GetDual a6989586621679700098

data AllSym0 :: (~>) Bool All

Instances

SingI AllSym0

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing AllSym0

SuppressUnusedWarnings AllSym0

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply AllSym0 (a6989586621679700112 :: Bool)

Defined in Data.Semigroup.Singletons.Internal

type Apply AllSym0 (a6989586621679700112 :: Bool) = 'All a6989586621679700112

type family AllSym1 (a6989586621679700112 :: Bool) :: All where ...

Equations

AllSym1 a6989586621679700112 = 'All a6989586621679700112

data GetAllSym0 :: (~>) All Bool

Instances

SingI GetAllSym0

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing GetAllSym0

SuppressUnusedWarnings GetAllSym0

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply GetAllSym0 (a6989586621679700115 :: All)

Defined in Data.Semigroup.Singletons.Internal

type Apply GetAllSym0 (a6989586621679700115 :: All) = GetAll a6989586621679700115

type family GetAllSym1 (a6989586621679700115 :: All) :: Bool where ...

Equations

GetAllSym1 a6989586621679700115 = GetAll a6989586621679700115

data AnySym0 :: (~>) Bool Any

Instances

SingI AnySym0

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing AnySym0

SuppressUnusedWarnings AnySym0

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply AnySym0 (a6989586621679700128 :: Bool)

Defined in Data.Semigroup.Singletons.Internal

type Apply AnySym0 (a6989586621679700128 :: Bool) = 'Any a6989586621679700128

type family AnySym1 (a6989586621679700128 :: Bool) :: Any where ...

Equations

AnySym1 a6989586621679700128 = 'Any a6989586621679700128

data GetAnySym0 :: (~>) Any Bool

Instances

SingI GetAnySym0

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing GetAnySym0

SuppressUnusedWarnings GetAnySym0

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply GetAnySym0 (a6989586621679700131 :: Any)

Defined in Data.Semigroup.Singletons.Internal

type Apply GetAnySym0 (a6989586621679700131 :: Any) = GetAny a6989586621679700131

type family GetAnySym1 (a6989586621679700131 :: Any) :: Bool where ...

Equations

GetAnySym1 a6989586621679700131 = GetAny a6989586621679700131

data SumSym0 :: (~>) a (Sum (a :: Type))

Instances

SingI (SumSym0 :: TyFun a (Sum a) -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing SumSym0

SuppressUnusedWarnings (SumSym0 :: TyFun a (Sum a) -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (SumSym0 :: TyFun a (Sum a) -> Type) (a6989586621679700147 :: a)

Defined in Data.Semigroup.Singletons.Internal

type Apply (SumSym0 :: TyFun a (Sum a) -> Type) (a6989586621679700147 :: a) = 'Sum a6989586621679700147

type family SumSym1 (a6989586621679700147 :: a) :: Sum (a :: Type) where ...

Equations

SumSym1 a6989586621679700147 = 'Sum a6989586621679700147

data GetSumSym0 :: (~>) (Sum (a :: Type)) a

Instances

SingI (GetSumSym0 :: TyFun (Sum a) a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing GetSumSym0

SuppressUnusedWarnings (GetSumSym0 :: TyFun (Sum a) a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (GetSumSym0 :: TyFun (Sum a) a -> Type) (a6989586621679700150 :: Sum a)

Defined in Data.Semigroup.Singletons.Internal

type Apply (GetSumSym0 :: TyFun (Sum a) a -> Type) (a6989586621679700150 :: Sum a) = GetSum a6989586621679700150

type family GetSumSym1 (a6989586621679700150 :: Sum (a :: Type)) :: a where ...

Equations

GetSumSym1 a6989586621679700150 = GetSum a6989586621679700150

data ProductSym0 :: (~>) a (Product (a :: Type))

Instances

SingI (ProductSym0 :: TyFun a (Product a) -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing ProductSym0

SuppressUnusedWarnings (ProductSym0 :: TyFun a (Product a) -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (ProductSym0 :: TyFun a (Product a) -> Type) (a6989586621679700166 :: a)

Defined in Data.Semigroup.Singletons.Internal

type Apply (ProductSym0 :: TyFun a (Product a) -> Type) (a6989586621679700166 :: a) = 'Product a6989586621679700166

type family ProductSym1 (a6989586621679700166 :: a) :: Product (a :: Type) where ...

Equations

ProductSym1 a6989586621679700166 = 'Product a6989586621679700166

data GetProductSym0 :: (~>) (Product (a :: Type)) a

Instances

SingI (GetProductSym0 :: TyFun (Product a) a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

sing :: Sing GetProductSym0

SuppressUnusedWarnings (GetProductSym0 :: TyFun (Product a) a -> Type)

Defined in Data.Semigroup.Singletons.Internal

Methods

suppressUnusedWarnings :: ()

type Apply (GetProductSym0 :: TyFun (Product a) a -> Type) (a6989586621679700169 :: Product a)

Defined in Data.Semigroup.Singletons.Internal

type Apply (GetProductSym0 :: TyFun (Product a) a -> Type) (a6989586621679700169 :: Product a) = GetProduct a6989586621679700169

type family GetProductSym1 (a6989586621679700169 :: Product (a :: Type)) :: a where ...

Equations

GetProductSym1 a6989586621679700169 = GetProduct a6989586621679700169

data ArgSym0 :: (~>) a ((~>) b (Arg (a :: Type) (b :: Type)))

Instances

SingI (ArgSym0 :: TyFun a (b ~> Arg a b) -> Type)

Defined in Data.Semigroup.Singletons

Methods

sing :: Sing ArgSym0

SuppressUnusedWarnings (ArgSym0 :: TyFun a (b ~> Arg a b) -> Type)

Defined in Data.Semigroup.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (ArgSym0 :: TyFun a (b ~> Arg a b) -> Type) (a6989586621680904480 :: a)

Defined in Data.Semigroup.Singletons

type Apply (ArgSym0 :: TyFun a (b ~> Arg a b) -> Type) (a6989586621680904480 :: a) = ArgSym1 a6989586621680904480 :: TyFun b (Arg a b) -> Type

data ArgSym1 (a6989586621680904480 :: a) :: (~>) b (Arg (a :: Type) (b :: Type))

Instances

SingI1 (ArgSym1 :: a -> TyFun b (Arg a b) -> Type)

Defined in Data.Semigroup.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (ArgSym1 x)

SingI d => SingI (ArgSym1 d :: TyFun b (Arg a b) -> Type)

Defined in Data.Semigroup.Singletons

Methods

sing :: Sing (ArgSym1 d)

SuppressUnusedWarnings (ArgSym1 a6989586621680904480 :: TyFun b (Arg a b) -> Type)

Defined in Data.Semigroup.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (ArgSym1 a6989586621680904480 :: TyFun b (Arg a b) -> Type) (a6989586621680904481 :: b)

Defined in Data.Semigroup.Singletons

type Apply (ArgSym1 a6989586621680904480 :: TyFun b (Arg a b) -> Type) (a6989586621680904481 :: b) = 'Arg a6989586621680904480 a6989586621680904481

type family ArgSym2 (a6989586621680904480 :: a) (a6989586621680904481 :: b) :: Arg (a :: Type) (b :: Type) where ...

Equations

ArgSym2 a6989586621680904480 a6989586621680904481 = 'Arg a6989586621680904480 a6989586621680904481

Orphan instances

PApplicative First

Associated Types

type Pure arg :: f a

type arg <*> arg :: f b

type LiftA2 arg arg arg :: f c

type arg *> arg :: f b

type arg <* arg :: f a

PApplicative Last

Associated Types

type Pure arg :: f a

type arg <*> arg :: f b

type LiftA2 arg arg arg :: f c

type arg *> arg :: f b

type arg <* arg :: f a

PApplicative Max

Associated Types

type Pure arg :: f a

type arg <*> arg :: f b

type LiftA2 arg arg arg :: f c

type arg *> arg :: f b

type arg <* arg :: f a

PApplicative Min

Associated Types

type Pure arg :: f a

type arg <*> arg :: f b

type LiftA2 arg arg arg :: f c

type arg *> arg :: f b

type arg <* arg :: f a

PFunctor First

Associated Types

type Fmap arg arg :: f b

type arg <$ arg :: f a

PFunctor Last

Associated Types

type Fmap arg arg :: f b

type arg <$ arg :: f a

PFunctor Max

Associated Types

type Fmap arg arg :: f b

type arg <$ arg :: f a

PFunctor Min

Associated Types

type Fmap arg arg :: f b

type arg <$ arg :: f a

PMonad First

Associated Types

type arg >>= arg :: m b

type arg >> arg :: m b

type Return arg :: m a

PMonad Last

Associated Types

type arg >>= arg :: m b

type arg >> arg :: m b

type Return arg :: m a

PMonad Max

Associated Types

type arg >>= arg :: m b

type arg >> arg :: m b

type Return arg :: m a

PMonad Min

Associated Types

type arg >>= arg :: m b

type arg >> arg :: m b

type Return arg :: m a

SApplicative First

Methods

sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t)

(%<*>) :: forall a b (t :: First (a ~> b)) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply (<*>@#@$) t) t)

sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: First a) (t :: First b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t)

(%*>) :: forall a b (t :: First a) (t :: First b). Sing t -> Sing t -> Sing (Apply (Apply (*>@#@$) t) t)

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

SApplicative Last

Methods

sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t)

(%<*>) :: forall a b (t :: Last (a ~> b)) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply (<*>@#@$) t) t)

sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: Last a) (t :: Last b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t)

(%*>) :: forall a b (t :: Last a) (t :: Last b). Sing t -> Sing t -> Sing (Apply (Apply (*>@#@$) t) t)

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

SApplicative Max

Methods

sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t)

(%<*>) :: forall a b (t :: Max (a ~> b)) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply (<*>@#@$) t) t)

sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: Max a) (t :: Max b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t)

(%*>) :: forall a b (t :: Max a) (t :: Max b). Sing t -> Sing t -> Sing (Apply (Apply (*>@#@$) t) t)

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

SApplicative Min

Methods

sPure :: forall a (t :: a). Sing t -> Sing (Apply PureSym0 t)

(%<*>) :: forall a b (t :: Min (a ~> b)) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply (<*>@#@$) t) t)

sLiftA2 :: forall a b c (t :: a ~> (b ~> c)) (t :: Min a) (t :: Min b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t)

(%*>) :: forall a b (t :: Min a) (t :: Min b). Sing t -> Sing t -> Sing (Apply (Apply (*>@#@$) t) t)

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

SFunctor First

Methods

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

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

SFunctor Last

Methods

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

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

SFunctor Max

Methods

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

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

SFunctor Min

Methods

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

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

SMonad First

Methods

(%>>=) :: forall a b (t :: First a) (t :: a ~> First b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t)

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

sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t)

SMonad Last

Methods

(%>>=) :: forall a b (t :: Last a) (t :: a ~> Last b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t)

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

sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t)

SMonad Max

Methods

(%>>=) :: forall a b (t :: Max a) (t :: a ~> Max b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t)

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

sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t)

SMonad Min

Methods

(%>>=) :: forall a b (t :: Min a) (t :: a ~> Min b). Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t)

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

sReturn :: forall a (t :: a). Sing t -> Sing (Apply ReturnSym0 t)

PFoldable First

Associated Types

type Fold arg :: m

type FoldMap arg arg :: m

type Foldr arg arg arg :: b

type Foldr' arg arg arg :: b

type Foldl arg arg arg :: b

type Foldl' arg arg arg :: b

type Foldr1 arg arg :: a

type Foldl1 arg arg :: a

type ToList arg :: [a]

type Null arg :: Bool

type Length arg :: Natural

type Elem arg arg :: Bool

type Maximum arg :: a

type Minimum arg :: a

type Sum arg :: a

type Product arg :: a

PFoldable Last

Associated Types

type Fold arg :: m

type FoldMap arg arg :: m

type Foldr arg arg arg :: b

type Foldr' arg arg arg :: b

type Foldl arg arg arg :: b

type Foldl' arg arg arg :: b

type Foldr1 arg arg :: a

type Foldl1 arg arg :: a

type ToList arg :: [a]

type Null arg :: Bool

type Length arg :: Natural

type Elem arg arg :: Bool

type Maximum arg :: a

type Minimum arg :: a

type Sum arg :: a

type Product arg :: a

PFoldable Max

Associated Types

type Fold arg :: m

type FoldMap arg arg :: m

type Foldr arg arg arg :: b

type Foldr' arg arg arg :: b

type Foldl arg arg arg :: b

type Foldl' arg arg arg :: b

type Foldr1 arg arg :: a

type Foldl1 arg arg :: a

type ToList arg :: [a]

type Null arg :: Bool

type Length arg :: Natural

type Elem arg arg :: Bool

type Maximum arg :: a

type Minimum arg :: a

type Sum arg :: a

type Product arg :: a

PFoldable Min

Associated Types

type Fold arg :: m

type FoldMap arg arg :: m

type Foldr arg arg arg :: b

type Foldr' arg arg arg :: b

type Foldl arg arg arg :: b

type Foldl' arg arg arg :: b

type Foldr1 arg arg :: a

type Foldl1 arg arg :: a

type ToList arg :: [a]

type Null arg :: Bool

type Length arg :: Natural

type Elem arg arg :: Bool

type Maximum arg :: a

type Minimum arg :: a

type Sum arg :: a

type Product arg :: a

SFoldable First

Methods

sFold :: forall m (t :: First m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t)

sFoldMap :: forall a m (t :: a ~> m) (t :: First a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t)

sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: First a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t)

sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: First a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t)

sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: First a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t)

sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: First a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t)

sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t)

sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t)

sToList :: forall a (t :: First a). Sing t -> Sing (Apply ToListSym0 t)

sNull :: forall a (t :: First a). Sing t -> Sing (Apply NullSym0 t)

sLength :: forall a (t :: First a). Sing t -> Sing (Apply LengthSym0 t)

sElem :: forall a (t :: a) (t :: First a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t)

sMaximum :: forall a (t :: First a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t)

sMinimum :: forall a (t :: First a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t)

sSum :: forall a (t :: First a). SNum a => Sing t -> Sing (Apply SumSym0 t)

sProduct :: forall a (t :: First a). SNum a => Sing t -> Sing (Apply ProductSym0 t)

SFoldable Last

Methods

sFold :: forall m (t :: Last m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t)

sFoldMap :: forall a m (t :: a ~> m) (t :: Last a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t)

sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Last a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t)

sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Last a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t)

sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Last a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t)

sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Last a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t)

sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t)

sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t)

sToList :: forall a (t :: Last a). Sing t -> Sing (Apply ToListSym0 t)

sNull :: forall a (t :: Last a). Sing t -> Sing (Apply NullSym0 t)

sLength :: forall a (t :: Last a). Sing t -> Sing (Apply LengthSym0 t)

sElem :: forall a (t :: a) (t :: Last a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t)

sMaximum :: forall a (t :: Last a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t)

sMinimum :: forall a (t :: Last a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t)

sSum :: forall a (t :: Last a). SNum a => Sing t -> Sing (Apply SumSym0 t)

sProduct :: forall a (t :: Last a). SNum a => Sing t -> Sing (Apply ProductSym0 t)

SFoldable Max

Methods

sFold :: forall m (t :: Max m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t)

sFoldMap :: forall a m (t :: a ~> m) (t :: Max a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t)

sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Max a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t)

sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Max a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t)

sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Max a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t)

sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Max a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t)

sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t)

sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t)

sToList :: forall a (t :: Max a). Sing t -> Sing (Apply ToListSym0 t)

sNull :: forall a (t :: Max a). Sing t -> Sing (Apply NullSym0 t)

sLength :: forall a (t :: Max a). Sing t -> Sing (Apply LengthSym0 t)

sElem :: forall a (t :: a) (t :: Max a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t)

sMaximum :: forall a (t :: Max a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t)

sMinimum :: forall a (t :: Max a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t)

sSum :: forall a (t :: Max a). SNum a => Sing t -> Sing (Apply SumSym0 t)

sProduct :: forall a (t :: Max a). SNum a => Sing t -> Sing (Apply ProductSym0 t)

SFoldable Min

Methods

sFold :: forall m (t :: Min m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t)

sFoldMap :: forall a m (t :: a ~> m) (t :: Min a). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t)

sFoldr :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Min a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t)

sFoldr' :: forall a b (t :: a ~> (b ~> b)) (t :: b) (t :: Min a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t)

sFoldl :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Min a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t)

sFoldl' :: forall b a (t :: b ~> (a ~> b)) (t :: b) (t :: Min a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t)

sFoldr1 :: forall a (t :: a ~> (a ~> a)) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t)

sFoldl1 :: forall a (t :: a ~> (a ~> a)) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t)

sToList :: forall a (t :: Min a). Sing t -> Sing (Apply ToListSym0 t)

sNull :: forall a (t :: Min a). Sing t -> Sing (Apply NullSym0 t)

sLength :: forall a (t :: Min a). Sing t -> Sing (Apply LengthSym0 t)

sElem :: forall a (t :: a) (t :: Min a). SEq a => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t)

sMaximum :: forall a (t :: Min a). SOrd a => Sing t -> Sing (Apply MaximumSym0 t)

sMinimum :: forall a (t :: Min a). SOrd a => Sing t -> Sing (Apply MinimumSym0 t)

sSum :: forall a (t :: Min a). SNum a => Sing t -> Sing (Apply SumSym0 t)

sProduct :: forall a (t :: Min a). SNum a => Sing t -> Sing (Apply ProductSym0 t)

PTraversable First

Associated Types

type Traverse arg arg :: f (t b)

type SequenceA arg :: f (t a)

type MapM arg arg :: m (t b)

type Sequence arg :: m (t a)

PTraversable Last

Associated Types

type Traverse arg arg :: f (t b)

type SequenceA arg :: f (t a)

type MapM arg arg :: m (t b)

type Sequence arg :: m (t a)

PTraversable Max

Associated Types

type Traverse arg arg :: f (t b)

type SequenceA arg :: f (t a)

type MapM arg arg :: m (t b)

type Sequence arg :: m (t a)

PTraversable Min

Associated Types

type Traverse arg arg :: f (t b)

type SequenceA arg :: f (t a)

type MapM arg arg :: m (t b)

type Sequence arg :: m (t a)

STraversable First

Methods

sTraverse :: forall a (f :: Type -> Type) b (t :: a ~> f b) (t :: First a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t)

sSequenceA :: forall (f :: Type -> Type) a (t :: First (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t)

sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: First a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t)

sSequence :: forall (m :: Type -> Type) a (t :: First (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t)

STraversable Last

Methods

sTraverse :: forall a (f :: Type -> Type) b (t :: a ~> f b) (t :: Last a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t)

sSequenceA :: forall (f :: Type -> Type) a (t :: Last (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t)

sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: Last a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t)

sSequence :: forall (m :: Type -> Type) a (t :: Last (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t)

STraversable Max

Methods

sTraverse :: forall a (f :: Type -> Type) b (t :: a ~> f b) (t :: Max a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t)

sSequenceA :: forall (f :: Type -> Type) a (t :: Max (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t)

sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: Max a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t)

sSequence :: forall (m :: Type -> Type) a (t :: Max (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t)

STraversable Min

Methods

sTraverse :: forall a (f :: Type -> Type) b (t :: a ~> f b) (t :: Min a). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t)

sSequenceA :: forall (f :: Type -> Type) a (t :: Min (f a)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t)

sMapM :: forall a (m :: Type -> Type) b (t :: a ~> m b) (t :: Min a). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t)

sSequence :: forall (m :: Type -> Type) a (t :: Min (m a)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t)

PShow All

Associated Types

type ShowsPrec arg arg arg :: Symbol

type Show_ arg :: Symbol

type ShowList arg arg :: Symbol

PShow Any

Associated Types

type ShowsPrec arg arg arg :: Symbol

type Show_ arg :: Symbol

type ShowList arg arg :: Symbol

SShow Bool => SShow All

Methods

sShowsPrec :: forall (t :: Natural) (t :: All) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t)

sShow_ :: forall (t :: All). Sing t -> Sing (Apply Show_Sym0 t)

sShowList :: forall (t :: [All]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t)

SShow Bool => SShow Any

Methods

sShowsPrec :: forall (t :: Natural) (t :: Any) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t)

sShow_ :: forall (t :: Any). Sing t -> Sing (Apply Show_Sym0 t)

sShowList :: forall (t :: [Any]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t)

SingI2 ('Arg :: k1 -> k2 -> Arg k1 k2)

Methods

liftSing2 :: forall (x :: k10) (y :: k20). Sing x -> Sing y -> Sing ('Arg0 x y)

SingI n => SingI1 ('Arg n :: k1 -> Arg a k1)

Methods

liftSing :: forall (x :: k10). Sing x -> Sing ('Arg0 n x)

ShowSing Bool => Show (SAll z)

Methods

showsPrec :: Int -> SAll z -> ShowS

show :: SAll z -> String

showList :: [SAll z] -> ShowS

ShowSing Bool => Show (SAny z)

Methods

showsPrec :: Int -> SAny z -> ShowS

show :: SAny z -> String

showList :: [SAny z] -> ShowS

PFunctor (Arg a)

Associated Types

type Fmap arg arg :: f b

type arg <$ arg :: f a

SFunctor (Arg a)

Methods

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

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

PFoldable (Arg a)

Associated Types

type Fold arg :: m

type FoldMap arg arg :: m

type Foldr arg arg arg :: b

type Foldr' arg arg arg :: b

type Foldl arg arg arg :: b

type Foldl' arg arg arg :: b

type Foldr1 arg arg :: a

type Foldl1 arg arg :: a

type ToList arg :: [a]

type Null arg :: Bool

type Length arg :: Natural

type Elem arg arg :: Bool

type Maximum arg :: a

type Minimum arg :: a

type Sum arg :: a

type Product arg :: a

SFoldable (Arg a)

Methods

sFold :: forall m (t :: Arg a m). SMonoid m => Sing t -> Sing (Apply FoldSym0 t)

sFoldMap :: forall a0 m (t :: a0 ~> m) (t :: Arg a a0). SMonoid m => Sing t -> Sing t -> Sing (Apply (Apply FoldMapSym0 t) t)

sFoldr :: forall a0 b (t :: a0 ~> (b ~> b)) (t :: b) (t :: Arg a a0). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldrSym0 t) t) t)

sFoldr' :: forall a0 b (t :: a0 ~> (b ~> b)) (t :: b) (t :: Arg a a0). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldr'Sym0 t) t) t)

sFoldl :: forall b a0 (t :: b ~> (a0 ~> b)) (t :: b) (t :: Arg a a0). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FoldlSym0 t) t) t)

sFoldl' :: forall b a0 (t :: b ~> (a0 ~> b)) (t :: b) (t :: Arg a a0). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Foldl'Sym0 t) t) t)

sFoldr1 :: forall a0 (t :: a0 ~> (a0 ~> a0)) (t :: Arg a a0). Sing t -> Sing t -> Sing (Apply (Apply Foldr1Sym0 t) t)

sFoldl1 :: forall a0 (t :: a0 ~> (a0 ~> a0)) (t :: Arg a a0). Sing t -> Sing t -> Sing (Apply (Apply Foldl1Sym0 t) t)

sToList :: forall a0 (t :: Arg a a0). Sing t -> Sing (Apply ToListSym0 t)

sNull :: forall a0 (t :: Arg a a0). Sing t -> Sing (Apply NullSym0 t)

sLength :: forall a0 (t :: Arg a a0). Sing t -> Sing (Apply LengthSym0 t)

sElem :: forall a0 (t :: a0) (t :: Arg a a0). SEq a0 => Sing t -> Sing t -> Sing (Apply (Apply ElemSym0 t) t)

sMaximum :: forall a0 (t :: Arg a a0). SOrd a0 => Sing t -> Sing (Apply MaximumSym0 t)

sMinimum :: forall a0 (t :: Arg a a0). SOrd a0 => Sing t -> Sing (Apply MinimumSym0 t)

sSum :: forall a0 (t :: Arg a a0). SNum a0 => Sing t -> Sing (Apply SumSym0 t)

sProduct :: forall a0 (t :: Arg a a0). SNum a0 => Sing t -> Sing (Apply ProductSym0 t)

PMonoid (Max a)

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid (Min a)

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid (WrappedMonoid m)

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

(SOrd a, SBounded a) => SMonoid (Max a)

Methods

sMempty :: Sing MemptySym0

sMappend :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t)

sMconcat :: forall (t :: [Max a]). Sing t -> Sing (Apply MconcatSym0 t)

(SOrd a, SBounded a) => SMonoid (Min a)

Methods

sMempty :: Sing MemptySym0

sMappend :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t)

sMconcat :: forall (t :: [Min a]). Sing t -> Sing (Apply MconcatSym0 t)

SMonoid m => SMonoid (WrappedMonoid m)

Methods

sMempty :: Sing MemptySym0

sMappend :: forall (t :: WrappedMonoid m) (t :: WrappedMonoid m). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t)

sMconcat :: forall (t :: [WrappedMonoid m]). Sing t -> Sing (Apply MconcatSym0 t)

PSemigroup (First a)

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (Last a)

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (Max a)

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (Min a)

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

PSemigroup (WrappedMonoid m)

Associated Types

type arg <> arg :: a

type Sconcat arg :: a

SSemigroup (First a)

Methods

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

sSconcat :: forall (t :: NonEmpty (First a)). Sing t -> Sing (Apply SconcatSym0 t)

SSemigroup (Last a)

Methods

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

sSconcat :: forall (t :: NonEmpty (Last a)). Sing t -> Sing (Apply SconcatSym0 t)

SOrd a => SSemigroup (Max a)

Methods

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

sSconcat :: forall (t :: NonEmpty (Max a)). Sing t -> Sing (Apply SconcatSym0 t)

SOrd a => SSemigroup (Min a)

Methods

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

sSconcat :: forall (t :: NonEmpty (Min a)). Sing t -> Sing (Apply SconcatSym0 t)

SMonoid m => SSemigroup (WrappedMonoid m)

Methods

(%<>) :: forall (t :: WrappedMonoid m) (t :: WrappedMonoid m). Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t)

sSconcat :: forall (t :: NonEmpty (WrappedMonoid m)). Sing t -> Sing (Apply SconcatSym0 t)

PEnum (First a)

Associated Types

type Succ arg :: a

type Pred arg :: a

type ToEnum arg :: a

type FromEnum arg :: Natural

type EnumFromTo arg arg :: [a]

type EnumFromThenTo arg arg arg :: [a]

PEnum (Last a)

Associated Types

type Succ arg :: a

type Pred arg :: a

type ToEnum arg :: a

type FromEnum arg :: Natural

type EnumFromTo arg arg :: [a]

type EnumFromThenTo arg arg arg :: [a]

PEnum (Max a)

Associated Types

type Succ arg :: a

type Pred arg :: a

type ToEnum arg :: a

type FromEnum arg :: Natural

type EnumFromTo arg arg :: [a]

type EnumFromThenTo arg arg arg :: [a]

PEnum (Min a)

Associated Types

type Succ arg :: a

type Pred arg :: a

type ToEnum arg :: a

type FromEnum arg :: Natural

type EnumFromTo arg arg :: [a]

type EnumFromThenTo arg arg arg :: [a]

PEnum (WrappedMonoid a)

Associated Types

type Succ arg :: a

type Pred arg :: a

type ToEnum arg :: a

type FromEnum arg :: Natural

type EnumFromTo arg arg :: [a]

type EnumFromThenTo arg arg arg :: [a]

SEnum a => SEnum (First a)

Methods

sSucc :: forall (t :: First a). Sing t -> Sing (Apply SuccSym0 t)

sPred :: forall (t :: First a). Sing t -> Sing (Apply PredSym0 t)

sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t)

sFromEnum :: forall (t :: First a). Sing t -> Sing (Apply FromEnumSym0 t)

sEnumFromTo :: forall (t :: First a) (t :: First a). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t)

sEnumFromThenTo :: forall (t :: First a) (t :: First a) (t :: First a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t)

SEnum a => SEnum (Last a)

Methods

sSucc :: forall (t :: Last a). Sing t -> Sing (Apply SuccSym0 t)

sPred :: forall (t :: Last a). Sing t -> Sing (Apply PredSym0 t)

sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t)

sFromEnum :: forall (t :: Last a). Sing t -> Sing (Apply FromEnumSym0 t)

sEnumFromTo :: forall (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t)

sEnumFromThenTo :: forall (t :: Last a) (t :: Last a) (t :: Last a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t)

SEnum a => SEnum (Max a)

Methods

sSucc :: forall (t :: Max a). Sing t -> Sing (Apply SuccSym0 t)

sPred :: forall (t :: Max a). Sing t -> Sing (Apply PredSym0 t)

sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t)

sFromEnum :: forall (t :: Max a). Sing t -> Sing (Apply FromEnumSym0 t)

sEnumFromTo :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t)

sEnumFromThenTo :: forall (t :: Max a) (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t)

SEnum a => SEnum (Min a)

Methods

sSucc :: forall (t :: Min a). Sing t -> Sing (Apply SuccSym0 t)

sPred :: forall (t :: Min a). Sing t -> Sing (Apply PredSym0 t)

sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t)

sFromEnum :: forall (t :: Min a). Sing t -> Sing (Apply FromEnumSym0 t)

sEnumFromTo :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t)

sEnumFromThenTo :: forall (t :: Min a) (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t)

SEnum a => SEnum (WrappedMonoid a)

Methods

sSucc :: forall (t :: WrappedMonoid a). Sing t -> Sing (Apply SuccSym0 t)

sPred :: forall (t :: WrappedMonoid a). Sing t -> Sing (Apply PredSym0 t)

sToEnum :: forall (t :: Natural). Sing t -> Sing (Apply ToEnumSym0 t)

sFromEnum :: forall (t :: WrappedMonoid a). Sing t -> Sing (Apply FromEnumSym0 t)

sEnumFromTo :: forall (t :: WrappedMonoid a) (t :: WrappedMonoid a). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t)

sEnumFromThenTo :: forall (t :: WrappedMonoid a) (t :: WrappedMonoid a) (t :: WrappedMonoid a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t)

PTraversable (Arg a)

Associated Types

type Traverse arg arg :: f (t b)

type SequenceA arg :: f (t a)

type MapM arg arg :: m (t b)

type Sequence arg :: m (t a)

STraversable (Arg a)

Methods

sTraverse :: forall a0 (f :: Type -> Type) b (t :: a0 ~> f b) (t :: Arg a a0). SApplicative f => Sing t -> Sing t -> Sing (Apply (Apply TraverseSym0 t) t)

sSequenceA :: forall (f :: Type -> Type) a0 (t :: Arg a (f a0)). SApplicative f => Sing t -> Sing (Apply SequenceASym0 t)

sMapM :: forall a0 (m :: Type -> Type) b (t :: a0 ~> m b) (t :: Arg a a0). SMonad m => Sing t -> Sing t -> Sing (Apply (Apply MapMSym0 t) t)

sSequence :: forall (m :: Type -> Type) a0 (t :: Arg a (m a0)). SMonad m => Sing t -> Sing (Apply SequenceSym0 t)

PNum (Max a)

Associated Types

type arg + arg :: a

type arg - arg :: a

type arg * arg :: a

type Negate arg :: a

type Abs arg :: a

type Signum arg :: a

type FromInteger arg :: a

PNum (Min a)

Associated Types

type arg + arg :: a

type arg - arg :: a

type arg * arg :: a

type Negate arg :: a

type Abs arg :: a

type Signum arg :: a

type FromInteger arg :: a

SNum a => SNum (Max a)

Methods

(%+) :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t)

(%-) :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply (-@#@$) t) t)

(%*) :: forall (t :: Max a) (t :: Max a). Sing t -> Sing t -> Sing (Apply (Apply (*@#@$) t) t)

sNegate :: forall (t :: Max a). Sing t -> Sing (Apply NegateSym0 t)

sAbs :: forall (t :: Max a). Sing t -> Sing (Apply AbsSym0 t)

sSignum :: forall (t :: Max a). Sing t -> Sing (Apply SignumSym0 t)

sFromInteger :: forall (t :: Natural). Sing t -> Sing (Apply FromIntegerSym0 t)

SNum a => SNum (Min a)

Methods

(%+) :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t)

(%-) :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply (-@#@$) t) t)

(%*) :: forall (t :: Min a) (t :: Min a). Sing t -> Sing t -> Sing (Apply (Apply (*@#@$) t) t)

sNegate :: forall (t :: Min a). Sing t -> Sing (Apply NegateSym0 t)

sAbs :: forall (t :: Min a). Sing t -> Sing (Apply AbsSym0 t)

sSignum :: forall (t :: Min a). Sing t -> Sing (Apply SignumSym0 t)

sFromInteger :: forall (t :: Natural). Sing t -> Sing (Apply FromIntegerSym0 t)

PShow (First a)

Associated Types

type ShowsPrec arg arg arg :: Symbol

type Show_ arg :: Symbol

type ShowList arg arg :: Symbol

PShow (Last a)

Associated Types

type ShowsPrec arg arg arg :: Symbol

type Show_ arg :: Symbol

type ShowList arg arg :: Symbol

PShow (Max a)

Associated Types

type ShowsPrec arg arg arg :: Symbol

type Show_ arg :: Symbol

type ShowList arg arg :: Symbol

PShow (Min a)

Associated Types

type ShowsPrec arg arg arg :: Symbol

type Show_ arg :: Symbol

type ShowList arg arg :: Symbol

PShow (WrappedMonoid m)

Associated Types

type ShowsPrec arg arg arg :: Symbol

type Show_ arg :: Symbol

type ShowList arg arg :: Symbol

PShow (Dual a)

Associated Types

type ShowsPrec arg arg arg :: Symbol

type Show_ arg :: Symbol

type ShowList arg arg :: Symbol

PShow (Product a)

Associated Types

type ShowsPrec arg arg arg :: Symbol

type Show_ arg :: Symbol

type ShowList arg arg :: Symbol

PShow (Sum a)

Associated Types

type ShowsPrec arg arg arg :: Symbol

type Show_ arg :: Symbol

type ShowList arg arg :: Symbol

SShow a => SShow (First a)

Methods

sShowsPrec :: forall (t :: Natural) (t :: First a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t)

sShow_ :: forall (t :: First a). Sing t -> Sing (Apply Show_Sym0 t)

sShowList :: forall (t :: [First a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t)

SShow a => SShow (Last a)

Methods

sShowsPrec :: forall (t :: Natural) (t :: Last a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t)

sShow_ :: forall (t :: Last a). Sing t -> Sing (Apply Show_Sym0 t)

sShowList :: forall (t :: [Last a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t)

SShow a => SShow (Max a)

Methods

sShowsPrec :: forall (t :: Natural) (t :: Max a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t)

sShow_ :: forall (t :: Max a). Sing t -> Sing (Apply Show_Sym0 t)

sShowList :: forall (t :: [Max a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t)

SShow a => SShow (Min a)

Methods

sShowsPrec :: forall (t :: Natural) (t :: Min a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t)

sShow_ :: forall (t :: Min a). Sing t -> Sing (Apply Show_Sym0 t)

sShowList :: forall (t :: [Min a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t)

SShow m => SShow (WrappedMonoid m)

Methods

sShowsPrec :: forall (t :: Natural) (t :: WrappedMonoid m) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t)

sShow_ :: forall (t :: WrappedMonoid m). Sing t -> Sing (Apply Show_Sym0 t)

sShowList :: forall (t :: [WrappedMonoid m]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t)

SShow a => SShow (Dual a)

Methods

sShowsPrec :: forall (t :: Natural) (t :: Dual a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t)

sShow_ :: forall (t :: Dual a). Sing t -> Sing (Apply Show_Sym0 t)

sShowList :: forall (t :: [Dual a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t)

SShow a => SShow (Product a)

Methods

sShowsPrec :: forall (t :: Natural) (t :: Product a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t)

sShow_ :: forall (t :: Product a). Sing t -> Sing (Apply Show_Sym0 t)

sShowList :: forall (t :: [Product a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t)

SShow a => SShow (Sum a)

Methods

sShowsPrec :: forall (t :: Natural) (t :: Sum a) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t)

sShow_ :: forall (t :: Sum a). Sing t -> Sing (Apply Show_Sym0 t)

sShowList :: forall (t :: [Sum a]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t)

ShowSing a => Show (SDual z)

Methods

showsPrec :: Int -> SDual z -> ShowS

show :: SDual z -> String

showList :: [SDual z] -> ShowS

ShowSing a => Show (SFirst z)

Methods

showsPrec :: Int -> SFirst z -> ShowS

show :: SFirst z -> String

showList :: [SFirst z] -> ShowS

ShowSing a => Show (SLast z)

Methods

showsPrec :: Int -> SLast z -> ShowS

show :: SLast z -> String

showList :: [SLast z] -> ShowS

ShowSing a => Show (SMax z)

Methods

showsPrec :: Int -> SMax z -> ShowS

show :: SMax z -> String

showList :: [SMax z] -> ShowS

ShowSing a => Show (SMin z)

Methods

showsPrec :: Int -> SMin z -> ShowS

show :: SMin z -> String

showList :: [SMin z] -> ShowS

ShowSing a => Show (SProduct z)

Methods

showsPrec :: Int -> SProduct z -> ShowS

show :: SProduct z -> String

showList :: [SProduct z] -> ShowS

ShowSing a => Show (SSum z)

Methods

showsPrec :: Int -> SSum z -> ShowS

show :: SSum z -> String

showList :: [SSum z] -> ShowS

ShowSing m => Show (SWrappedMonoid z)

Methods

showsPrec :: Int -> SWrappedMonoid z -> ShowS

show :: SWrappedMonoid z -> String

showList :: [SWrappedMonoid z] -> ShowS

(SingKind a, SingKind b) => SingKind (Arg a b)

Associated Types

type Demote (Arg a b) = (r :: Type)

Methods

fromSing :: forall (a0 :: Arg a b). Sing a0 -> Demote (Arg a b)

toSing :: Demote (Arg a b) -> SomeSing (Arg a b)

PEq (Arg a b)

Associated Types

type arg == arg :: Bool

type arg /= arg :: Bool

SEq a => SEq (Arg a b)

Methods

(%==) :: forall (t :: Arg a b) (t :: Arg a b). Sing t -> Sing t -> Sing (Apply (Apply (==@#@$) t) t)

(%/=) :: forall (t :: Arg a b) (t :: Arg a b). Sing t -> Sing t -> Sing (Apply (Apply (/=@#@$) t) t)

POrd (Arg a b)

Associated Types

type Compare arg arg :: Ordering

type arg < arg :: Bool

type arg <= arg :: Bool

type arg > arg :: Bool

type arg >= arg :: Bool

type Max arg arg :: a

type Min arg arg :: a

SOrd a => SOrd (Arg a b)

Methods

sCompare :: forall (t :: Arg a b) (t :: Arg a b). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t)

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

(%<=) :: forall (t :: Arg a b) (t :: Arg a b). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t)

(%>) :: forall (t :: Arg a b) (t :: Arg a b). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t)

(%>=) :: forall (t :: Arg a b) (t :: Arg a b). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t)

sMax :: forall (t :: Arg a b) (t :: Arg a b). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t)

sMin :: forall (t :: Arg a b) (t :: Arg a b). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t)

PShow (Arg a b)

Associated Types

type ShowsPrec arg arg arg :: Symbol

type Show_ arg :: Symbol

type ShowList arg arg :: Symbol

(SShow a, SShow b) => SShow (Arg a b)

Methods

sShowsPrec :: forall (t :: Natural) (t :: Arg a b) (t :: Symbol). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t)

sShow_ :: forall (t :: Arg a b). Sing t -> Sing (Apply Show_Sym0 t)

sShowList :: forall (t :: [Arg a b]) (t :: Symbol). Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t)

(SingI n, SingI n) => SingI ('Arg n n :: Arg a b)

Methods

sing :: Sing ('Arg0 n0 n)