Data.Monoid.Singletons

Defines the promoted version of Monoid, PMonoid, and the singleton version, SMonoid.

Documentation

class PMonoid a

Associated Types

type Mempty :: a

type Mappend (arg :: a) (arg :: a) :: a

type Mappend a a = Apply (Apply Mappend_6989586621680329562Sym0 a) a

type Mconcat (arg :: [a]) :: a

type Mconcat a = Apply Mconcat_6989586621680329576Sym0 a

Instances

PMonoid All

Defined in Data.Monoid.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid Any

Defined in Data.Monoid.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid Ordering

Defined in Data.Monoid.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid ()

Defined in Data.Monoid.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid Symbol

Defined in Data.Monoid.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid (Identity a)

Defined in Data.Functor.Identity.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid (First a)

Defined in Data.Monoid.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid (Last a)

Defined in Data.Monoid.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid (Down a)

Defined in Data.Monoid.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid (Max a)

Defined in Data.Semigroup.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid (Min a)

Defined in Data.Semigroup.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid (WrappedMonoid m)

Defined in Data.Semigroup.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid (Dual a)

Defined in Data.Monoid.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid (Product a)

Defined in Data.Monoid.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid (Sum a)

Defined in Data.Monoid.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid (Maybe a)

Defined in Data.Monoid.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid [a]

Defined in Data.Monoid.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid (Proxy s)

Defined in Data.Proxy.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid (a ~> b)

Defined in Data.Monoid.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid (a, b)

Defined in Data.Monoid.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid (Const a b)

Defined in Data.Functor.Const.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid (a, b, c)

Defined in Data.Monoid.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

PMonoid (a, b, c, d)

Defined in Data.Monoid.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

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

Defined in Data.Monoid.Singletons

Associated Types

type Mempty :: a

type Mappend arg arg :: a

type Mconcat arg :: a

class SSemigroup a => SMonoid a where

Minimal complete definition

sMempty

Methods

sMempty :: Sing (MemptySym0 :: a)

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

default sMappend :: forall (t :: a) (t :: a). (Apply (Apply MappendSym0 t) t :: a) ~ Apply (Apply Mappend_6989586621680329562Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t :: a)

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

default sMconcat :: forall (t :: [a]). (Apply MconcatSym0 t :: a) ~ Apply Mconcat_6989586621680329576Sym0 t => Sing t -> Sing (Apply MconcatSym0 t :: a)

Instances

SMonoid All

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing MemptySym0

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

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

SMonoid Any

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing MemptySym0

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

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

SMonoid Ordering

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing MemptySym0

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

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

SMonoid ()

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing MemptySym0

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

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

SMonoid Symbol

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing MemptySym0

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

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

SMonoid a => SMonoid (Identity a)

Defined in Data.Functor.Identity.Singletons

Methods

sMempty :: Sing MemptySym0

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

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

SMonoid (First a)

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing MemptySym0

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

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

SMonoid (Last a)

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing MemptySym0

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

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

SMonoid a => SMonoid (Down a)

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing MemptySym0

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

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

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

Defined in Data.Semigroup.Singletons

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)

Defined in Data.Semigroup.Singletons

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)

Defined in Data.Semigroup.Singletons

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)

SMonoid a => SMonoid (Dual a)

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing MemptySym0

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

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

SNum a => SMonoid (Product a)

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing MemptySym0

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

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

SNum a => SMonoid (Sum a)

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing MemptySym0

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

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

SSemigroup a => SMonoid (Maybe a)

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing MemptySym0

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

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

SMonoid [a]

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing MemptySym0

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

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

SMonoid (Proxy s)

Defined in Data.Proxy.Singletons

Methods

sMempty :: Sing MemptySym0

sMappend :: forall (t :: Proxy s) (t :: Proxy s). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t)

sMconcat :: forall (t :: [Proxy s]). Sing t -> Sing (Apply MconcatSym0 t)

SMonoid b => SMonoid (a ~> b)

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing MemptySym0

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

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

(SMonoid a, SMonoid b) => SMonoid (a, b)

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing MemptySym0

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

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

SMonoid a => SMonoid (Const a b)

Defined in Data.Functor.Const.Singletons

Methods

sMempty :: Sing MemptySym0

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

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

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

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing MemptySym0

sMappend :: forall (t :: (a, b, c)) (t :: (a, b, c)). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t)

sMconcat :: forall (t :: [(a, b, c)]). Sing t -> Sing (Apply MconcatSym0 t)

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

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing MemptySym0

sMappend :: forall (t :: (a, b, c, d)) (t :: (a, b, c, d)). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t)

sMconcat :: forall (t :: [(a, b, c, d)]). Sing t -> Sing (Apply MconcatSym0 t)

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

Defined in Data.Monoid.Singletons

Methods

sMempty :: Sing MemptySym0

sMappend :: forall (t :: (a, b, c, d, e)) (t :: (a, b, c, d, e)). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t)

sMconcat :: forall (t :: [(a, b, c, d, e)]). Sing t -> Sing (Apply MconcatSym0 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 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 SFirst :: forall (a :: Type). First a -> Type where

Constructors

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

Instances

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

Defined in Data.Monoid.Singletons

Methods

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

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

Defined in Data.Monoid.Singletons

Methods

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

ShowSing (Maybe a) => Show (SFirst z)

Defined in Data.Monoid.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 :: Maybe a). (Sing n) -> SLast ('Last n :: Last (a :: Type))

Instances

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

Defined in Data.Monoid.Singletons

Methods

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

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

Defined in Data.Monoid.Singletons

Methods

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

ShowSing (Maybe a) => Show (SLast z)

Defined in Data.Monoid.Singletons

Methods

showsPrec :: Int -> SLast z -> ShowS

show :: SLast z -> String

showList :: [SLast z] -> ShowS

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

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

Equations

GetFirst ('First field) = field

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

Equations

GetLast ('Last field) = field

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)

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

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

Defunctionalization symbols

type family MemptySym0 :: a where ...

Equations

MemptySym0 = Mempty

data MappendSym0 :: (~>) a ((~>) a a)

Instances

SMonoid a => SingI (MappendSym0 :: TyFun a (a ~> a) -> Type)

Defined in Data.Monoid.Singletons

Methods

sing :: Sing MappendSym0

SuppressUnusedWarnings (MappendSym0 :: TyFun a (a ~> a) -> Type)

Defined in Data.Monoid.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (MappendSym0 :: TyFun a (a ~> a) -> Type) (a6989586621680329555 :: a)

Defined in Data.Monoid.Singletons

type Apply (MappendSym0 :: TyFun a (a ~> a) -> Type) (a6989586621680329555 :: a) = MappendSym1 a6989586621680329555

data MappendSym1 (a6989586621680329555 :: a) :: (~>) a a

Instances

SMonoid a => SingI1 (MappendSym1 :: a -> TyFun a a -> Type)

Defined in Data.Monoid.Singletons

Methods

liftSing :: forall (x :: k1). Sing x -> Sing (MappendSym1 x)

(SMonoid a, SingI d) => SingI (MappendSym1 d :: TyFun a a -> Type)

Defined in Data.Monoid.Singletons

Methods

sing :: Sing (MappendSym1 d)

SuppressUnusedWarnings (MappendSym1 a6989586621680329555 :: TyFun a a -> Type)

Defined in Data.Monoid.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (MappendSym1 a6989586621680329555 :: TyFun a a -> Type) (a6989586621680329556 :: a)

Defined in Data.Monoid.Singletons

type Apply (MappendSym1 a6989586621680329555 :: TyFun a a -> Type) (a6989586621680329556 :: a) = Mappend a6989586621680329555 a6989586621680329556

type family MappendSym2 (a6989586621680329555 :: a) (a6989586621680329556 :: a) :: a where ...

Equations

MappendSym2 a6989586621680329555 a6989586621680329556 = Mappend a6989586621680329555 a6989586621680329556

data MconcatSym0 :: (~>) [a] a

Instances

SMonoid a => SingI (MconcatSym0 :: TyFun [a] a -> Type)

Defined in Data.Monoid.Singletons

Methods

sing :: Sing MconcatSym0

SuppressUnusedWarnings (MconcatSym0 :: TyFun [a] a -> Type)

Defined in Data.Monoid.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (MconcatSym0 :: TyFun [a] a -> Type) (a6989586621680329559 :: [a])

Defined in Data.Monoid.Singletons

type Apply (MconcatSym0 :: TyFun [a] a -> Type) (a6989586621680329559 :: [a]) = Mconcat a6989586621680329559

type family MconcatSym1 (a6989586621680329559 :: [a]) :: a where ...

Equations

MconcatSym1 a6989586621680329559 = Mconcat a6989586621680329559

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

Instances

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

Defined in Data.Monoid.Singletons

Methods

sing :: Sing FirstSym0

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

Defined in Data.Monoid.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (FirstSym0 :: TyFun (Maybe a) (First a) -> Type) (a6989586621680333800 :: Maybe a)

Defined in Data.Monoid.Singletons

type Apply (FirstSym0 :: TyFun (Maybe a) (First a) -> Type) (a6989586621680333800 :: Maybe a) = 'First a6989586621680333800

type family FirstSym1 (a6989586621680333800 :: Maybe a) :: First (a :: Type) where ...

Equations

FirstSym1 a6989586621680333800 = 'First a6989586621680333800

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

Instances

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

Defined in Data.Monoid.Singletons

Methods

sing :: Sing GetFirstSym0

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

Defined in Data.Monoid.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (GetFirstSym0 :: TyFun (First a) (Maybe a) -> Type) (a6989586621680333803 :: First a)

Defined in Data.Monoid.Singletons

type Apply (GetFirstSym0 :: TyFun (First a) (Maybe a) -> Type) (a6989586621680333803 :: First a) = GetFirst a6989586621680333803

type family GetFirstSym1 (a6989586621680333803 :: First (a :: Type)) :: Maybe a where ...

Equations

GetFirstSym1 a6989586621680333803 = GetFirst a6989586621680333803

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

Instances

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

Defined in Data.Monoid.Singletons

Methods

sing :: Sing LastSym0

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

Defined in Data.Monoid.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (LastSym0 :: TyFun (Maybe a) (Last a) -> Type) (a6989586621680333824 :: Maybe a)

Defined in Data.Monoid.Singletons

type Apply (LastSym0 :: TyFun (Maybe a) (Last a) -> Type) (a6989586621680333824 :: Maybe a) = 'Last a6989586621680333824

type family LastSym1 (a6989586621680333824 :: Maybe a) :: Last (a :: Type) where ...

Equations

LastSym1 a6989586621680333824 = 'Last a6989586621680333824

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

Instances

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

Defined in Data.Monoid.Singletons

Methods

sing :: Sing GetLastSym0

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

Defined in Data.Monoid.Singletons

Methods

suppressUnusedWarnings :: ()

type Apply (GetLastSym0 :: TyFun (Last a) (Maybe a) -> Type) (a6989586621680333827 :: Last a)

Defined in Data.Monoid.Singletons

type Apply (GetLastSym0 :: TyFun (Last a) (Maybe a) -> Type) (a6989586621680333827 :: Last a) = GetLast a6989586621680333827

type family GetLastSym1 (a6989586621680333827 :: Last (a :: Type)) :: Maybe a where ...

Equations

GetLastSym1 a6989586621680333827 = GetLast a6989586621680333827

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

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

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

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)

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)

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)

SingKind a => SingKind (First a)

Associated Types

type Demote (First a) = (r :: Type)

Methods

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

toSing :: Demote (First a) -> SomeSing (First a)

SingKind a => SingKind (Last a)

Associated Types

type Demote (Last a) = (r :: Type)

Methods

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

toSing :: Demote (Last a) -> SomeSing (Last a)

SDecide (Maybe a) => SDecide (First a)

Methods

(%~) :: forall (a0 :: First a) (b :: First a). Sing a0 -> Sing b -> Decision (a0 :~: b)

SDecide (Maybe a) => SDecide (Last a)

Methods

(%~) :: forall (a0 :: Last a) (b :: Last a). Sing a0 -> Sing b -> Decision (a0 :~: b)

PEq (First a)

Associated Types

type arg == arg :: Bool

type arg /= arg :: Bool

PEq (Last a)

Associated Types

type arg == arg :: Bool

type arg /= arg :: Bool

SEq (Maybe a) => SEq (First a)

Methods

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

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

SEq (Maybe a) => SEq (Last a)

Methods

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

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

POrd (First a)

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

POrd (Last a)

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 (Maybe a) => SOrd (First a)

Methods

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

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

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

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

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

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

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

SOrd (Maybe a) => SOrd (Last a)

Methods

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

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

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

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

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

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

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

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)

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

SShow (Maybe 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 (Maybe 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)

SingI1 ('First :: Maybe a -> First a)

Methods

liftSing :: forall (x :: k1). Sing x -> Sing ('First0 x)

SingI1 ('Last :: Maybe a -> Last a)

Methods

liftSing :: forall (x :: k1). Sing x -> Sing ('Last0 x)

SingI n => SingI ('First n :: First a)

Methods

sing :: Sing ('First0 n)

SingI n => SingI ('Last n :: Last a)

Methods

sing :: Sing ('Last0 n)