Copyright	(C) 2018 Ryan Scott
License	BSD-style (see LICENSE)
Maintainer	Ryan Scott
Stability	experimental
Portability	non-portable
Safe Haskell	None
Language	Haskell2010

Data.Singletons.Prelude.Monoid

Contents

Defunctionalization symbols
Orphan instances

Description

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

Synopsis

class PSemigroup a => PMonoid (a :: Type) where
- type Mempty :: a
- type Mappend (arg :: a) (arg :: a) :: a
- type Mconcat (arg :: [a]) :: a
class SSemigroup a => SMonoid a where
- sMempty :: Sing (MemptySym0 :: a)
- sMappend :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t :: a)
- sMconcat :: forall (t :: [a]). Sing t -> Sing (Apply MconcatSym0 t :: a)
data family Sing :: k -> Type
type family GetDual (a :: Dual a) :: a where ...
type family GetAll (a :: All) :: Bool where ...
type family GetAny (a :: Any) :: Bool where ...
type family GetSum (a :: Sum a) :: a where ...
type family GetProduct (a :: Product a) :: a where ...
type family GetFirst (a :: First a) :: Maybe a where ...
type family GetLast (a :: Last a) :: Maybe a where ...
type SDual = (Sing :: Dual a -> Type)
type SAll = (Sing :: All -> Type)
type SAny = (Sing :: Any -> Type)
type SSum = (Sing :: Sum a -> Type)
type SProduct = (Sing :: Product a -> Type)
type SFirst = (Sing :: First a -> Type)
type SLast = (Sing :: Last a -> Type)
type MemptySym0 = Mempty
data MappendSym0 :: forall a6989586621680361494. (~>) a6989586621680361494 ((~>) a6989586621680361494 a6989586621680361494)
data MappendSym1 (arg6989586621680361879 :: a6989586621680361494) :: (~>) a6989586621680361494 a6989586621680361494
type MappendSym2 (arg6989586621680361879 :: a6989586621680361494) (arg6989586621680361880 :: a6989586621680361494) = Mappend arg6989586621680361879 arg6989586621680361880
data MconcatSym0 :: forall a6989586621680361494. (~>) [a6989586621680361494] a6989586621680361494
type MconcatSym1 (arg6989586621680361883 :: [a6989586621680361494]) = Mconcat arg6989586621680361883
data DualSym0 :: forall (a6989586621679087235 :: Type). (~>) a6989586621679087235 (Dual (a6989586621679087235 :: Type))
type DualSym1 (t6989586621679842924 :: a6989586621679087235) = Dual t6989586621679842924
data GetDualSym0 :: forall a6989586621679087235. (~>) (Dual a6989586621679087235) a6989586621679087235
type GetDualSym1 (a6989586621679842921 :: Dual a6989586621679087235) = GetDual a6989586621679842921
data AllSym0 :: (~>) Bool All
type AllSym1 (t6989586621679842938 :: Bool) = All t6989586621679842938
data GetAllSym0 :: (~>) All Bool
type GetAllSym1 (a6989586621679842935 :: All) = GetAll a6989586621679842935
data AnySym0 :: (~>) Bool Any
type AnySym1 (t6989586621679842952 :: Bool) = Any t6989586621679842952
data GetAnySym0 :: (~>) Any Bool
type GetAnySym1 (a6989586621679842949 :: Any) = GetAny a6989586621679842949
data SumSym0 :: forall (a6989586621679087220 :: Type). (~>) a6989586621679087220 (Sum (a6989586621679087220 :: Type))
type SumSym1 (t6989586621679842969 :: a6989586621679087220) = Sum t6989586621679842969
data GetSumSym0 :: forall a6989586621679087220. (~>) (Sum a6989586621679087220) a6989586621679087220
type GetSumSym1 (a6989586621679842966 :: Sum a6989586621679087220) = GetSum a6989586621679842966
data ProductSym0 :: forall (a6989586621679087225 :: Type). (~>) a6989586621679087225 (Product (a6989586621679087225 :: Type))
type ProductSym1 (t6989586621679842986 :: a6989586621679087225) = Product t6989586621679842986
data GetProductSym0 :: forall a6989586621679087225. (~>) (Product a6989586621679087225) a6989586621679087225
type GetProductSym1 (a6989586621679842983 :: Product a6989586621679087225) = GetProduct a6989586621679842983
data FirstSym0 :: forall (a6989586621679087264 :: Type). (~>) (Maybe a6989586621679087264) (First (a6989586621679087264 :: Type))
type FirstSym1 (t6989586621680365409 :: Maybe a6989586621679087264) = First t6989586621680365409
data GetFirstSym0 :: forall a6989586621679087264. (~>) (First a6989586621679087264) (Maybe a6989586621679087264)
type GetFirstSym1 (a6989586621680365406 :: First a6989586621679087264) = GetFirst a6989586621680365406
data LastSym0 :: forall (a6989586621679087259 :: Type). (~>) (Maybe a6989586621679087259) (Last (a6989586621679087259 :: Type))
type LastSym1 (t6989586621680365430 :: Maybe a6989586621679087259) = Last t6989586621680365430
data GetLastSym0 :: forall a6989586621679087259. (~>) (Last a6989586621679087259) (Maybe a6989586621679087259)
type GetLastSym1 (a6989586621680365427 :: Last a6989586621679087259) = GetLast a6989586621680365427

Documentation

class PSemigroup a => PMonoid (a :: Type) #

Associated Types

type Mempty :: a #

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

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

Instances

PMonoid Ordering #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid Symbol #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid () #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid All #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid Any #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid [a] #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid (Maybe a) #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid (Min a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid (Max a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid (WrappedMonoid m) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid (Option a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid (Identity a) #
Instance details Defined in Data.Singletons.Prelude.Identity Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid (First a) #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid (Last a) #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid (Dual a) #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid (Sum a) #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid (Product a) #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid (Down a) #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid (a, b) #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid (a ~> b) #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid (a, b, c) #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid (Const a b) #
Instance details Defined in Data.Singletons.Prelude.Const Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid (a, b, c, d) #
Instance details Defined in Data.Singletons.Prelude.Monoid Associated Types type Mempty :: a # type Mappend arg arg :: a # type Mconcat arg :: a #
PMonoid (a, b, c, d, e) #
Instance details Defined in Data.Singletons.Prelude.Monoid 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) #

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

sMappend :: forall (t :: a) (t :: a). (Apply (Apply MappendSym0 t) t :: a) ~ Apply (Apply Mappend_6989586621680361897Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t :: a) #

sMconcat :: forall (t :: [a]). (Apply MconcatSym0 t :: a) ~ Apply Mconcat_6989586621680361907Sym0 t => Sing t -> Sing (Apply MconcatSym0 t :: a) #

Instances

SMonoid Ordering #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
SMonoid Symbol #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
SMonoid () #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
SMonoid All #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
SMonoid Any #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
SMonoid [a] #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
SSemigroup a => SMonoid (Maybe a) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
(SOrd a, SBounded a) => SMonoid (Min a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
(SOrd a, SBounded a) => SMonoid (Max a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
SMonoid m => SMonoid (WrappedMonoid m) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
SSemigroup a => SMonoid (Option a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
SMonoid a => SMonoid (Identity a) #
Instance details Defined in Data.Singletons.Prelude.Identity Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
SMonoid (First a) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
SMonoid (Last a) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
SMonoid a => SMonoid (Dual a) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
SNum a => SMonoid (Sum a) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
SNum a => SMonoid (Product a) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
SMonoid a => SMonoid (Down a) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
(SMonoid a, SMonoid b) => SMonoid (a, b) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
SMonoid b => SMonoid (a ~> b) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
(SMonoid a, SMonoid b, SMonoid c) => SMonoid (a, b, c) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
SMonoid a => SMonoid (Const a b) #
Instance details Defined in Data.Singletons.Prelude.Const Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
(SMonoid a, SMonoid b, SMonoid c, SMonoid d) => SMonoid (a, b, c, d) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #
(SMonoid a, SMonoid b, SMonoid c, SMonoid d, SMonoid e) => SMonoid (a, b, c, d, e) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sMempty :: Sing MemptySym0 # sMappend :: Sing t -> Sing t -> Sing (Apply (Apply MappendSym0 t) t) # sMconcat :: Sing t -> Sing (Apply MconcatSym0 t) #

data family Sing :: k -> Type #

The singleton kind-indexed data family.

Instances

SDecide k => TestCoercion (Sing :: k -> Type) #
Instance details Defined in Data.Singletons.Decide Methods testCoercion :: Sing a -> Sing b -> Maybe (Coercion a b) #
SDecide k => TestEquality (Sing :: k -> Type) #
Instance details Defined in Data.Singletons.Decide Methods testEquality :: Sing a -> Sing b -> Maybe (a :~: b) #
Show (SSymbol s) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> SSymbol s -> ShowS # show :: SSymbol s -> String # showList :: [SSymbol s] -> ShowS #
Show (SNat n) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> SNat n -> ShowS # show :: SNat n -> String # showList :: [SNat n] -> ShowS #
Eq (Sing a) #
Instance details Defined in Data.Singletons.TypeRepTYPE Methods (==) :: Sing a -> Sing a -> Bool # (/=) :: Sing a -> Sing a -> Bool #
Ord (Sing a) #
Instance details Defined in Data.Singletons.TypeRepTYPE Methods compare :: Sing a -> Sing a -> Ordering # (<) :: Sing a -> Sing a -> Bool # (<=) :: Sing a -> Sing a -> Bool # (>) :: Sing a -> Sing a -> Bool # (>=) :: Sing a -> Sing a -> Bool # max :: Sing a -> Sing a -> Sing a # min :: Sing a -> Sing a -> Sing a #
Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing [a]) => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b) => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
Show (Sing a) #
Instance details Defined in Data.Singletons.TypeRepTYPE Methods showsPrec :: Int -> Sing a -> ShowS # show :: Sing a -> String # showList :: [Sing a] -> ShowS #
Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b) => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b, ShowSing c) => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d) => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e) => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e, ShowSing f) => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e, ShowSing f, ShowSing g) => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing b) => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing m => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing (Maybe a) => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing (Maybe a) => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing (Maybe a) => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing Bool => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing Bool => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing a => Show (Sing z) #
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
(ShowSing a, ShowSing [a]) => Show (Sing z) #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
data Sing (a :: Bool) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (a :: Bool) where SFalse :: forall (a :: Bool). Sing False STrue :: forall (a :: Bool). Sing True
data Sing (a :: Ordering) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (a :: Ordering) where SLT :: forall (a :: Ordering). Sing LT SEQ :: forall (a :: Ordering). Sing EQ SGT :: forall (a :: Ordering). Sing GT
data Sing (n :: Nat) #
Instance details Defined in Data.Singletons.TypeLits.Internal data Sing (n :: Nat) where SNat :: forall (n :: Nat). KnownNat n => Sing n
data Sing (n :: Symbol) #
Instance details Defined in Data.Singletons.TypeLits.Internal data Sing (n :: Symbol) where SSym :: forall (n :: Symbol). KnownSymbol n => Sing n
data Sing (a :: ()) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (a :: ()) where STuple0 :: forall (a :: ()). Sing ()
data Sing (a :: Void) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (a :: Void)
data Sing (a :: All) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (a :: All) where SAll :: forall (a :: All) (n :: Bool). {..} -> Sing (All n)
data Sing (a :: Any) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (a :: Any) where SAny :: forall (a :: Any) (n :: Bool). {..} -> Sing (Any n)
data Sing (a :: PErrorMessage) #
Instance details Defined in Data.Singletons.TypeError data Sing (a :: PErrorMessage) where SText :: forall (a :: PErrorMessage) (t :: Symbol). Sing t -> Sing (Text t) SShowType :: forall (a :: PErrorMessage) t (ty :: t). Sing ty -> Sing (ShowType ty :: ErrorMessage' Symbol) (:%<>:) :: forall (a :: PErrorMessage) (e1 :: ErrorMessage' Symbol) (e2 :: ErrorMessage' Symbol). Sing e1 -> Sing e2 -> Sing (e1 :<>: e2) (:%$$:) :: forall (a :: PErrorMessage) (e1 :: ErrorMessage' Symbol) (e2 :: ErrorMessage' Symbol). Sing e1 -> Sing e2 -> Sing (e1 :$$: e2)
data Sing (b :: [a]) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (b :: [a]) where SNil :: forall k (b :: [k]). Sing ([] :: [k]) SCons :: forall a (b :: [a]) (n :: a) (n :: [a]). Sing n -> Sing n -> Sing (n ': n)
data Sing (b :: Maybe a) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (b :: Maybe a) where SNothing :: forall a (b :: Maybe a). Sing (Nothing :: Maybe a) SJust :: forall a (b :: Maybe a) (n :: a). Sing n -> Sing (Just n)
newtype Sing (a :: TYPE rep) #	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 -> Type` for any kind `k`, and remove all other `Sing` instances. We don't adopt this design, however, since it is far more convenient in practice to work with explicit singleton values than `TypeRep`s (for instance, `TypeRep`s are more difficult to pattern match on, and require extra runtime checks). We cannot produce explicit singleton values for everything in `TYPE rep`, however, since it is an open kind, so we reach for `TypeRep` in this one particular case.
Instance details Defined in Data.Singletons.TypeRepTYPE newtype Sing (a :: TYPE rep) = STypeRep (TypeRep a)
data Sing (b :: Min a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Min a) where SMin :: forall a (b :: Min a) (n :: a). {..} -> Sing (Min n)
data Sing (b :: Max a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Max a) where SMax :: forall a (b :: Max a) (n :: a). {..} -> Sing (Max n)
data Sing (b :: First a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: First a) where SFirst :: forall a (b :: First a) (n :: a). {..} -> Sing (First n)
data Sing (b :: Last a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Last a) where SLast :: forall a (b :: Last a) (n :: a). {..} -> Sing (Last n)
data Sing (a :: WrappedMonoid m) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (a :: WrappedMonoid m) where SWrapMonoid :: forall m (a :: WrappedMonoid m) (n :: m). {..} -> Sing (WrapMonoid n)
data Sing (b :: Option a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Option a) where SOption :: forall a (b :: Option a) (n :: Maybe a). {..} -> Sing (Option n)
data Sing (b :: Identity a) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (b :: Identity a) where SIdentity :: forall a (b :: Identity a) (n :: a). {..} -> Sing (Identity n)
data Sing (b :: First a) #
Instance details Defined in Data.Singletons.Prelude.Monoid data Sing (b :: First a) where SFirst :: forall a (b :: First a) (n :: Maybe a). {..} -> Sing (First n)
data Sing (b :: Last a) #
Instance details Defined in Data.Singletons.Prelude.Monoid data Sing (b :: Last a) where SLast :: forall a (b :: Last a) (n :: Maybe a). {..} -> Sing (Last n)
data Sing (b :: Dual a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Dual a) where SDual :: forall a (b :: Dual a) (n :: a). {..} -> Sing (Dual n)
data Sing (b :: Sum a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Sum a) where SSum :: forall a (b :: Sum a) (n :: a). {..} -> Sing (Sum n)
data Sing (b :: Product a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal data Sing (b :: Product a) where SProduct :: forall a (b :: Product a) (n :: a). {..} -> Sing (Product n)
data Sing (b :: Down a) #
Instance details Defined in Data.Singletons.Prelude.Ord data Sing (b :: Down a) where SDown :: forall a (b :: Down a) (n :: a). Sing n -> Sing (Down n)
data Sing (b :: NonEmpty a) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (b :: NonEmpty a) where (:%\|) :: forall a (b :: NonEmpty a) (n :: a) (n :: [a]). Sing n -> Sing n -> Sing (n :\| n)
data Sing (c :: Either a b) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (c :: Either a b) where SLeft :: forall a b (c :: Either a b) (n :: a). Sing n -> Sing (Left n :: Either a b) SRight :: forall a b (c :: Either a b) (n :: b). Sing n -> Sing (Right n :: Either a b)
data Sing (c :: (a, b)) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (c :: (a, b)) where STuple2 :: forall a b (c :: (a, b)) (n :: a) (n :: b). Sing n -> Sing n -> Sing ((,) n n)
data Sing (c :: Arg a b) #
Instance details Defined in Data.Singletons.Prelude.Semigroup data Sing (c :: Arg a b) where SArg :: forall a b (c :: Arg a b) (n :: a) (n :: b). Sing n -> Sing n -> Sing (Arg n n)
newtype Sing (f :: k1 ~> k2) #
Instance details Defined in Data.Singletons.Internal newtype Sing (f :: k1 ~> k2) = SLambda { applySing :: forall (t :: k1). Sing t -> Sing (f @@ t) }
data Sing (d :: (a, b, c)) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (d :: (a, b, c)) where STuple3 :: forall a b c (d :: (a, b, c)) (n :: a) (n :: b) (n :: c). Sing n -> Sing n -> Sing n -> Sing ((,,) n n n)
data Sing (c :: Const a b) #
Instance details Defined in Data.Singletons.Prelude.Const data Sing (c :: Const a b) where SConst :: forall k a (b :: k) (c :: Const a b) (a :: a). {..} -> Sing (Const a :: Const a b)
data Sing (e :: (a, b, c, d)) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (e :: (a, b, c, d)) where STuple4 :: forall a b c d (e :: (a, b, c, d)) (n :: a) (n :: b) (n :: c) (n :: d). Sing n -> Sing n -> Sing n -> Sing n -> Sing ((,,,) n n n n)
data Sing (f :: (a, b, c, d, e)) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (f :: (a, b, c, d, e)) where STuple5 :: forall a b c d e (f :: (a, b, c, d, e)) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e). Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing ((,,,,) n n n n n)
data Sing (g :: (a, b, c, d, e, f)) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (g :: (a, b, c, d, e, f)) where STuple6 :: forall a b c d e f (g :: (a, b, c, d, e, f)) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e) (n :: f). Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing ((,,,,,) n n n n n n)
data Sing (h :: (a, b, c, d, e, f, g)) #
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (h :: (a, b, c, d, e, f, g)) where STuple7 :: forall a b c d e f g (h :: (a, b, c, d, e, f, g)) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e) (n :: f) (n :: g). Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing ((,,,,,,) n n n n n n n)

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

Equations

GetSum (Sum field) = field

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

Equations

GetProduct (Product field) = field

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

Equations

GetFirst (First field) = field

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

Equations

GetLast (Last field) = field

type SDual = (Sing :: Dual a -> Type) #

type SAll = (Sing :: All -> Type) #

type SAny = (Sing :: Any -> Type) #

type SSum = (Sing :: Sum a -> Type) #

type SProduct = (Sing :: Product a -> Type) #

type SFirst = (Sing :: First a -> Type) #

type SLast = (Sing :: Last a -> Type) #

Defunctionalization symbols

type MemptySym0 = Mempty #

data MappendSym0 :: forall a6989586621680361494. (~>) a6989586621680361494 ((~>) a6989586621680361494 a6989586621680361494) #

Instances

SMonoid a => SingI (MappendSym0 :: TyFun a (a ~> a) -> Type) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sing :: Sing MappendSym0 #
SuppressUnusedWarnings (MappendSym0 :: TyFun a6989586621680361494 (a6989586621680361494 ~> a6989586621680361494) -> Type) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods suppressUnusedWarnings :: () #
type Apply (MappendSym0 :: TyFun a6989586621680361494 (a6989586621680361494 ~> a6989586621680361494) -> Type) (arg6989586621680361879 :: a6989586621680361494) #
Instance details Defined in Data.Singletons.Prelude.Monoid type Apply (MappendSym0 :: TyFun a6989586621680361494 (a6989586621680361494 ~> a6989586621680361494) -> Type) (arg6989586621680361879 :: a6989586621680361494) = MappendSym1 arg6989586621680361879

data MappendSym1 (arg6989586621680361879 :: a6989586621680361494) :: (~>) a6989586621680361494 a6989586621680361494 #

Instances

(SMonoid a, SingI d) => SingI (MappendSym1 d :: TyFun a a -> Type) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sing :: Sing (MappendSym1 d) #
SuppressUnusedWarnings (MappendSym1 arg6989586621680361879 :: TyFun a6989586621680361494 a6989586621680361494 -> Type) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods suppressUnusedWarnings :: () #
type Apply (MappendSym1 arg6989586621680361879 :: TyFun a a -> Type) (arg6989586621680361880 :: a) #
Instance details Defined in Data.Singletons.Prelude.Monoid type Apply (MappendSym1 arg6989586621680361879 :: TyFun a a -> Type) (arg6989586621680361880 :: a) = Mappend arg6989586621680361879 arg6989586621680361880

type MappendSym2 (arg6989586621680361879 :: a6989586621680361494) (arg6989586621680361880 :: a6989586621680361494) = Mappend arg6989586621680361879 arg6989586621680361880 #

data MconcatSym0 :: forall a6989586621680361494. (~>) [a6989586621680361494] a6989586621680361494 #

Instances

SMonoid a => SingI (MconcatSym0 :: TyFun [a] a -> Type) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sing :: Sing MconcatSym0 #
SuppressUnusedWarnings (MconcatSym0 :: TyFun [a6989586621680361494] a6989586621680361494 -> Type) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods suppressUnusedWarnings :: () #
type Apply (MconcatSym0 :: TyFun [a] a -> Type) (arg6989586621680361883 :: [a]) #
Instance details Defined in Data.Singletons.Prelude.Monoid type Apply (MconcatSym0 :: TyFun [a] a -> Type) (arg6989586621680361883 :: [a]) = Mconcat arg6989586621680361883

type MconcatSym1 (arg6989586621680361883 :: [a6989586621680361494]) = Mconcat arg6989586621680361883 #

data DualSym0 :: forall (a6989586621679087235 :: Type). (~>) a6989586621679087235 (Dual (a6989586621679087235 :: Type)) #

Instances

SingI (DualSym0 :: TyFun a (Dual a) -> Type) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Methods sing :: Sing DualSym0 #
SuppressUnusedWarnings (DualSym0 :: TyFun a6989586621679087235 (Dual a6989586621679087235) -> Type) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Methods suppressUnusedWarnings :: () #
type Apply (DualSym0 :: TyFun a (Dual a) -> Type) (t6989586621679842924 :: a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Apply (DualSym0 :: TyFun a (Dual a) -> Type) (t6989586621679842924 :: a) = Dual t6989586621679842924

type DualSym1 (t6989586621679842924 :: a6989586621679087235) = Dual t6989586621679842924 #

data GetDualSym0 :: forall a6989586621679087235. (~>) (Dual a6989586621679087235) a6989586621679087235 #

Instances

SuppressUnusedWarnings (GetDualSym0 :: TyFun (Dual a6989586621679087235) a6989586621679087235 -> Type) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Methods suppressUnusedWarnings :: () #
type Apply (GetDualSym0 :: TyFun (Dual a) a -> Type) (a6989586621679842921 :: Dual a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Apply (GetDualSym0 :: TyFun (Dual a) a -> Type) (a6989586621679842921 :: Dual a) = GetDual a6989586621679842921

type GetDualSym1 (a6989586621679842921 :: Dual a6989586621679087235) = GetDual a6989586621679842921 #

data AllSym0 :: (~>) Bool All #

Instances

SingI AllSym0 #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Methods sing :: Sing AllSym0 #
SuppressUnusedWarnings AllSym0 #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Methods suppressUnusedWarnings :: () #
type Apply AllSym0 (t6989586621679842938 :: Bool) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Apply AllSym0 (t6989586621679842938 :: Bool) = All t6989586621679842938

type AllSym1 (t6989586621679842938 :: Bool) = All t6989586621679842938 #

data GetAllSym0 :: (~>) All Bool #

Instances

SuppressUnusedWarnings GetAllSym0 #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Methods suppressUnusedWarnings :: () #
type Apply GetAllSym0 (a6989586621679842935 :: All) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Apply GetAllSym0 (a6989586621679842935 :: All) = GetAll a6989586621679842935

type GetAllSym1 (a6989586621679842935 :: All) = GetAll a6989586621679842935 #

data AnySym0 :: (~>) Bool Any #

Instances

SingI AnySym0 #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Methods sing :: Sing AnySym0 #
SuppressUnusedWarnings AnySym0 #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Methods suppressUnusedWarnings :: () #
type Apply AnySym0 (t6989586621679842952 :: Bool) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Apply AnySym0 (t6989586621679842952 :: Bool) = Any t6989586621679842952

type AnySym1 (t6989586621679842952 :: Bool) = Any t6989586621679842952 #

data GetAnySym0 :: (~>) Any Bool #

Instances

SuppressUnusedWarnings GetAnySym0 #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Methods suppressUnusedWarnings :: () #
type Apply GetAnySym0 (a6989586621679842949 :: Any) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Apply GetAnySym0 (a6989586621679842949 :: Any) = GetAny a6989586621679842949

type GetAnySym1 (a6989586621679842949 :: Any) = GetAny a6989586621679842949 #

data SumSym0 :: forall (a6989586621679087220 :: Type). (~>) a6989586621679087220 (Sum (a6989586621679087220 :: Type)) #

Instances

SingI (SumSym0 :: TyFun a (Sum a) -> Type) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Methods sing :: Sing SumSym0 #
SuppressUnusedWarnings (SumSym0 :: TyFun a6989586621679087220 (Sum a6989586621679087220) -> Type) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Methods suppressUnusedWarnings :: () #
type Apply (SumSym0 :: TyFun a (Sum a) -> Type) (t6989586621679842969 :: a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Apply (SumSym0 :: TyFun a (Sum a) -> Type) (t6989586621679842969 :: a) = Sum t6989586621679842969

type SumSym1 (t6989586621679842969 :: a6989586621679087220) = Sum t6989586621679842969 #

data GetSumSym0 :: forall a6989586621679087220. (~>) (Sum a6989586621679087220) a6989586621679087220 #

Instances

SuppressUnusedWarnings (GetSumSym0 :: TyFun (Sum a6989586621679087220) a6989586621679087220 -> Type) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Methods suppressUnusedWarnings :: () #
type Apply (GetSumSym0 :: TyFun (Sum a) a -> Type) (a6989586621679842966 :: Sum a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Apply (GetSumSym0 :: TyFun (Sum a) a -> Type) (a6989586621679842966 :: Sum a) = GetSum a6989586621679842966

type GetSumSym1 (a6989586621679842966 :: Sum a6989586621679087220) = GetSum a6989586621679842966 #

data ProductSym0 :: forall (a6989586621679087225 :: Type). (~>) a6989586621679087225 (Product (a6989586621679087225 :: Type)) #

Instances

SingI (ProductSym0 :: TyFun a (Product a) -> Type) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Methods sing :: Sing ProductSym0 #
SuppressUnusedWarnings (ProductSym0 :: TyFun a6989586621679087225 (Product a6989586621679087225) -> Type) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Methods suppressUnusedWarnings :: () #
type Apply (ProductSym0 :: TyFun a (Product a) -> Type) (t6989586621679842986 :: a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Apply (ProductSym0 :: TyFun a (Product a) -> Type) (t6989586621679842986 :: a) = Product t6989586621679842986

type ProductSym1 (t6989586621679842986 :: a6989586621679087225) = Product t6989586621679842986 #

data GetProductSym0 :: forall a6989586621679087225. (~>) (Product a6989586621679087225) a6989586621679087225 #

Instances

SuppressUnusedWarnings (GetProductSym0 :: TyFun (Product a6989586621679087225) a6989586621679087225 -> Type) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal Methods suppressUnusedWarnings :: () #
type Apply (GetProductSym0 :: TyFun (Product a) a -> Type) (a6989586621679842983 :: Product a) #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Apply (GetProductSym0 :: TyFun (Product a) a -> Type) (a6989586621679842983 :: Product a) = GetProduct a6989586621679842983

type GetProductSym1 (a6989586621679842983 :: Product a6989586621679087225) = GetProduct a6989586621679842983 #

data FirstSym0 :: forall (a6989586621679087264 :: Type). (~>) (Maybe a6989586621679087264) (First (a6989586621679087264 :: Type)) #

Instances

SingI (FirstSym0 :: TyFun (Maybe a) (First a) -> Type) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sing :: Sing FirstSym0 #
SuppressUnusedWarnings (FirstSym0 :: TyFun (Maybe a6989586621679087264) (First a6989586621679087264) -> Type) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods suppressUnusedWarnings :: () #
type Apply (FirstSym0 :: TyFun (Maybe a) (First a) -> Type) (t6989586621680365409 :: Maybe a) #
Instance details Defined in Data.Singletons.Prelude.Monoid type Apply (FirstSym0 :: TyFun (Maybe a) (First a) -> Type) (t6989586621680365409 :: Maybe a) = First t6989586621680365409

type FirstSym1 (t6989586621680365409 :: Maybe a6989586621679087264) = First t6989586621680365409 #

data GetFirstSym0 :: forall a6989586621679087264. (~>) (First a6989586621679087264) (Maybe a6989586621679087264) #

Instances

SuppressUnusedWarnings (GetFirstSym0 :: TyFun (First a6989586621679087264) (Maybe a6989586621679087264) -> Type) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods suppressUnusedWarnings :: () #
type Apply (GetFirstSym0 :: TyFun (First a) (Maybe a) -> Type) (a6989586621680365406 :: First a) #
Instance details Defined in Data.Singletons.Prelude.Monoid type Apply (GetFirstSym0 :: TyFun (First a) (Maybe a) -> Type) (a6989586621680365406 :: First a) = GetFirst a6989586621680365406

type GetFirstSym1 (a6989586621680365406 :: First a6989586621679087264) = GetFirst a6989586621680365406 #

data LastSym0 :: forall (a6989586621679087259 :: Type). (~>) (Maybe a6989586621679087259) (Last (a6989586621679087259 :: Type)) #

Instances

SingI (LastSym0 :: TyFun (Maybe a) (Last a) -> Type) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods sing :: Sing LastSym0 #
SuppressUnusedWarnings (LastSym0 :: TyFun (Maybe a6989586621679087259) (Last a6989586621679087259) -> Type) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods suppressUnusedWarnings :: () #
type Apply (LastSym0 :: TyFun (Maybe a) (Last a) -> Type) (t6989586621680365430 :: Maybe a) #
Instance details Defined in Data.Singletons.Prelude.Monoid type Apply (LastSym0 :: TyFun (Maybe a) (Last a) -> Type) (t6989586621680365430 :: Maybe a) = Last t6989586621680365430

type LastSym1 (t6989586621680365430 :: Maybe a6989586621679087259) = Last t6989586621680365430 #

data GetLastSym0 :: forall a6989586621679087259. (~>) (Last a6989586621679087259) (Maybe a6989586621679087259) #

Instances

SuppressUnusedWarnings (GetLastSym0 :: TyFun (Last a6989586621679087259) (Maybe a6989586621679087259) -> Type) #
Instance details Defined in Data.Singletons.Prelude.Monoid Methods suppressUnusedWarnings :: () #
type Apply (GetLastSym0 :: TyFun (Last a) (Maybe a) -> Type) (a6989586621680365427 :: Last a) #
Instance details Defined in Data.Singletons.Prelude.Monoid type Apply (GetLastSym0 :: TyFun (Last a) (Maybe a) -> Type) (a6989586621680365427 :: Last a) = GetLast a6989586621680365427

type GetLastSym1 (a6989586621680365427 :: Last a6989586621679087259) = GetLast a6989586621680365427 #

Orphan instances

SMonad First #
Instance details Methods (%>>=) :: Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) # (%>>) :: Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) # sReturn :: Sing t -> Sing (Apply ReturnSym0 t) # sFail :: Sing t -> Sing (Apply FailSym0 t) #
SMonad Last #
Instance details Methods (%>>=) :: Sing t -> Sing t -> Sing (Apply (Apply (>>=@#@$) t) t) # (%>>) :: Sing t -> Sing t -> Sing (Apply (Apply (>>@#@$) t) t) # sReturn :: Sing t -> Sing (Apply ReturnSym0 t) # sFail :: Sing t -> Sing (Apply FailSym0 t) #
SApplicative First #
Instance details Methods sPure :: Sing t -> Sing (Apply PureSym0 t) # (%<>) :: Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) # sLiftA2 :: Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) # (%>) :: Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) # (%<) :: Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) #
SApplicative Last #
Instance details Methods sPure :: Sing t -> Sing (Apply PureSym0 t) # (%<>) :: Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) # sLiftA2 :: Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply LiftA2Sym0 t) t) t) # (%>) :: Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) # (%<) :: Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) #
SFunctor First #
Instance details Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) #
SFunctor Last #
Instance details Methods sFmap :: Sing t -> Sing t -> Sing (Apply (Apply FmapSym0 t) t) # (%<$) :: Sing t -> Sing t -> Sing (Apply (Apply (<$@#@$) t) t) #
PMonad First #
Instance details Associated Types type arg >>= arg :: m b # type arg >> arg :: m b # type Return arg :: m a # type Fail arg :: m a #
PMonad Last #
Instance details Associated Types type arg >>= arg :: m b # type arg >> arg :: m b # type Return arg :: m a # type Fail arg :: m a #
PApplicative First #
Instance details 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 #
Instance details 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 #
Instance details Associated Types type Fmap arg arg :: f b # type arg <$ arg :: f a #
PFunctor Last #
Instance details Associated Types type Fmap arg arg :: f b # type arg <$ arg :: f a #
SingKind a => SingKind (First a) #
Instance details Associated Types type Demote (First a) = (r :: Type) # Methods fromSing :: Sing a0 -> Demote (First a) # toSing :: Demote (First a) -> SomeSing (First a) #
SingKind a => SingKind (Last a) #
Instance details Associated Types type Demote (Last a) = (r :: Type) # Methods fromSing :: Sing a0 -> Demote (Last a) # toSing :: Demote (Last a) -> SomeSing (Last a) #
SDecide (Maybe a) => SDecide (First a) #
Instance details Methods (%~) :: Sing a0 -> Sing b -> Decision (a0 :~: b) #
SDecide (Maybe a) => SDecide (Last a) #
Instance details Methods (%~) :: Sing a0 -> Sing b -> Decision (a0 :~: b) #
PEq (First a) #
Instance details Associated Types type x == y :: Bool # type x /= y :: Bool #
PEq (Last a) #
Instance details Associated Types type x == y :: Bool # type x /= y :: Bool #
SEq (Maybe a) => SEq (First a) #
Instance details Methods (%==) :: Sing a0 -> Sing b -> Sing (a0 == b) # (%/=) :: Sing a0 -> Sing b -> Sing (a0 /= b) #
SEq (Maybe a) => SEq (Last a) #
Instance details Methods (%==) :: Sing a0 -> Sing b -> Sing (a0 == b) # (%/=) :: Sing a0 -> Sing b -> Sing (a0 /= b) #
SOrd (Maybe a) => SOrd (First a) #
Instance details Methods sCompare :: Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) # (%<) :: Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) # (%<=) :: Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) # (%>) :: Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) # (%>=) :: Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) # sMax :: Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) # sMin :: Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) #
SOrd (Maybe a) => SOrd (Last a) #
Instance details Methods sCompare :: Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t) # (%<) :: Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t) # (%<=) :: Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t) # (%>) :: Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t) # (%>=) :: Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t) # sMax :: Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t) # sMin :: Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t) #
POrd (First a) #
Instance details 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) #
Instance details 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 #
SSemigroup (First a) #
Instance details Methods (%<>) :: Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) # sSconcat :: Sing t -> Sing (Apply SconcatSym0 t) #
SSemigroup (Last a) #
Instance details Methods (%<>) :: Sing t -> Sing t -> Sing (Apply (Apply (<>@#@$) t) t) # sSconcat :: Sing t -> Sing (Apply SconcatSym0 t) #
PSemigroup (First a) #
Instance details Associated Types type arg <> arg :: a # type Sconcat arg :: a #
PSemigroup (Last a) #
Instance details Associated Types type arg <> arg :: a # type Sconcat arg :: a #
SShow (Maybe a) => SShow (First a) #
Instance details Methods sShowsPrec :: Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) # sShow_ :: Sing t -> Sing (Apply Show_Sym0 t) # sShowList :: Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) #
SShow (Maybe a) => SShow (Last a) #
Instance details Methods sShowsPrec :: Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ShowsPrecSym0 t) t) t) # sShow_ :: Sing t -> Sing (Apply Show_Sym0 t) # sShowList :: Sing t -> Sing t -> Sing (Apply (Apply ShowListSym0 t) t) #
PShow (First a) #
Instance details Associated Types type ShowsPrec arg arg arg :: Symbol # type Show_ arg :: Symbol # type ShowList arg arg :: Symbol #
PShow (Last a) #
Instance details Associated Types type ShowsPrec arg arg arg :: Symbol # type Show_ arg :: Symbol # type ShowList arg arg :: Symbol #
SingI n => SingI (First n :: First a) #
Instance details Methods sing :: Sing (First0 n) #
SingI n => SingI (Last n :: Last a) #
Instance details Methods sing :: Sing (Last0 n) #
ShowSing (Maybe a) => Show (Sing z) #
Instance details Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
ShowSing (Maybe a) => Show (Sing z) #
Instance details Methods showsPrec :: Int -> Sing z -> ShowS # show :: Sing z -> String # showList :: [Sing z] -> ShowS #
SingI (TyCon1 (Last :: Maybe a -> Last a) :: Maybe a ~> Last a) #
Instance details Methods sing :: Sing (TyCon1 Last0) #
SingI (TyCon1 (First :: Maybe a -> First a) :: Maybe a ~> First a) #
Instance details Methods sing :: Sing (TyCon1 First0) #