Data.Singletons.Prelude.Ord

Defines the promoted version of Ord, POrd, and the singleton version, SOrd.

Documentation

class POrd (a :: Type)

Associated Types

type Compare (arg :: a) (arg :: a) :: Ordering

type Compare a a = Apply (Apply Compare_6989586621679394057Sym0 a) a

type (arg :: a) < (arg :: a) :: Bool infix 4

type (<) a a = Apply (Apply TFHelper_6989586621679394081Sym0 a) a

type (arg :: a) <= (arg :: a) :: Bool infix 4

type (<=) a a = Apply (Apply TFHelper_6989586621679394099Sym0 a) a

type (arg :: a) > (arg :: a) :: Bool infix 4

type (>) a a = Apply (Apply TFHelper_6989586621679394117Sym0 a) a

type (arg :: a) >= (arg :: a) :: Bool infix 4

type (>=) a a = Apply (Apply TFHelper_6989586621679394135Sym0 a) a

type Max (arg :: a) (arg :: a) :: a

type Max a a = Apply (Apply Max_6989586621679394153Sym0 a) a

type Min (arg :: a) (arg :: a) :: a

type Min a a = Apply (Apply Min_6989586621679394171Sym0 a) a

Instances

POrd Bool

Defined in Data.Singletons.Prelude.Ord

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 Ordering

Defined in Data.Singletons.Prelude.Ord

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 Nat

Defined in Data.Singletons.TypeLits.Internal

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 Symbol

Defined in Data.Singletons.TypeLits.Internal

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 ()

Defined in Data.Singletons.Prelude.Ord

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 Void

Defined in Data.Singletons.Prelude.Ord

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 All

Defined in Data.Singletons.Prelude.Semigroup.Internal

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 Any

Defined in Data.Singletons.Prelude.Semigroup.Internal

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 [a]

Defined in Data.Singletons.Prelude.Ord

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 (Maybe a)

Defined in Data.Singletons.Prelude.Ord

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 (Min a)

Defined in Data.Singletons.Prelude.Semigroup.Internal

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 (Max a)

Defined in Data.Singletons.Prelude.Semigroup.Internal

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 (First a)

Defined in Data.Singletons.Prelude.Semigroup.Internal

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)

Defined in Data.Singletons.Prelude.Semigroup.Internal

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 (WrappedMonoid m)

Defined in Data.Singletons.Prelude.Semigroup.Internal

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 (Option a)

Defined in Data.Singletons.Prelude.Semigroup.Internal

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 (Identity a)

Defined in Data.Singletons.Prelude.Ord

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 (First a)

Defined in Data.Singletons.Prelude.Monoid

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)

Defined in Data.Singletons.Prelude.Monoid

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 (Dual a)

Defined in Data.Singletons.Prelude.Semigroup.Internal

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 (Sum a)

Defined in Data.Singletons.Prelude.Semigroup.Internal

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 (Product a)

Defined in Data.Singletons.Prelude.Semigroup.Internal

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 (Down a)

Defined in Data.Singletons.Prelude.Ord

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 (NonEmpty a)

Defined in Data.Singletons.Prelude.Ord

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 (Either a b)

Defined in Data.Singletons.Prelude.Ord

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 (a, b)

Defined in Data.Singletons.Prelude.Ord

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 (Arg a b)

Defined in Data.Singletons.Prelude.Semigroup

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 (a, b, c)

Defined in Data.Singletons.Prelude.Ord

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 (Const a b)

Defined in Data.Singletons.Prelude.Const

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 (a, b, c, d)

Defined in Data.Singletons.Prelude.Ord

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 (a, b, c, d, e)

Defined in Data.Singletons.Prelude.Ord

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

Defined in Data.Singletons.Prelude.Ord

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 (a, b, c, d, e, f, g)

Defined in Data.Singletons.Prelude.Ord

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

class SEq a => SOrd a where

Minimal complete definition

Nothing

Methods

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

default sCompare :: forall (t :: a) (t :: a). (Apply (Apply CompareSym0 t) t :: Ordering) ~ Apply (Apply Compare_6989586621679394057Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t :: Ordering)

(%<) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t :: Bool) infix 4

default (%<) :: forall (t :: a) (t :: a). (Apply (Apply (<@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679394081Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<@#@$) t) t :: Bool)

(%<=) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t :: Bool) infix 4

default (%<=) :: forall (t :: a) (t :: a). (Apply (Apply (<=@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679394099Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (<=@#@$) t) t :: Bool)

(%>) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t :: Bool) infix 4

default (%>) :: forall (t :: a) (t :: a). (Apply (Apply (>@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679394117Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (>@#@$) t) t :: Bool)

(%>=) :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t :: Bool) infix 4

default (%>=) :: forall (t :: a) (t :: a). (Apply (Apply (>=@#@$) t) t :: Bool) ~ Apply (Apply TFHelper_6989586621679394135Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply (>=@#@$) t) t :: Bool)

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

default sMax :: forall (t :: a) (t :: a). (Apply (Apply MaxSym0 t) t :: a) ~ Apply (Apply Max_6989586621679394153Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t :: a)

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

default sMin :: forall (t :: a) (t :: a). (Apply (Apply MinSym0 t) t :: a) ~ Apply (Apply Min_6989586621679394171Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t :: a)

Instances

SOrd Bool

Defined in Data.Singletons.Prelude.Ord

Methods

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

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

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

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

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

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

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

SOrd Ordering

Defined in Data.Singletons.Prelude.Ord

Methods

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

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

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

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

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

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

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

SOrd Nat

Defined in Data.Singletons.TypeLits.Internal

Methods

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

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

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

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

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

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

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

SOrd Symbol

Defined in Data.Singletons.TypeLits.Internal

Methods

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

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

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

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

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

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

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

SOrd ()

Defined in Data.Singletons.Prelude.Ord

Methods

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

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

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

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

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

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

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

SOrd Void

Defined in Data.Singletons.Prelude.Ord

Methods

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

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

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

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

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

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

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

SOrd Bool => SOrd All

Defined in Data.Singletons.Prelude.Semigroup.Internal

Methods

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

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

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

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

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

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

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

SOrd Bool => SOrd Any

Defined in Data.Singletons.Prelude.Semigroup.Internal

Methods

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

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

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

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

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

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

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

(SOrd a, SOrd [a]) => SOrd [a]

Defined in Data.Singletons.Prelude.Ord

Methods

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

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

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

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

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

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

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

SOrd a => SOrd (Maybe a)

Defined in Data.Singletons.Prelude.Ord

Methods

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

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

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

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

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

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

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

SOrd a => SOrd (Min a)

Defined in Data.Singletons.Prelude.Semigroup.Internal

Methods

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

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

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

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

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

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

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

SOrd a => SOrd (Max a)

Defined in Data.Singletons.Prelude.Semigroup.Internal

Methods

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

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

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

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

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

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

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

SOrd a => SOrd (First a)

Defined in Data.Singletons.Prelude.Semigroup.Internal

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 a => SOrd (Last a)

Defined in Data.Singletons.Prelude.Semigroup.Internal

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)

SOrd m => SOrd (WrappedMonoid m)

Defined in Data.Singletons.Prelude.Semigroup.Internal

Methods

sCompare :: forall (t :: WrappedMonoid m) (t :: WrappedMonoid m). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t)

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

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

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

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

sMax :: forall (t :: WrappedMonoid m) (t :: WrappedMonoid m). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t)

sMin :: forall (t :: WrappedMonoid m) (t :: WrappedMonoid m). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t)

SOrd (Maybe a) => SOrd (Option a)

Defined in Data.Singletons.Prelude.Semigroup.Internal

Methods

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

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

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

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

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

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

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

SOrd a => SOrd (Identity a)

Defined in Data.Singletons.Prelude.Ord

Methods

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

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

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

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

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

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

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

SOrd (Maybe a) => SOrd (First a)

Defined in Data.Singletons.Prelude.Monoid

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)

Defined in Data.Singletons.Prelude.Monoid

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)

SOrd a => SOrd (Dual a)

Defined in Data.Singletons.Prelude.Semigroup.Internal

Methods

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

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

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

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

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

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

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

SOrd a => SOrd (Sum a)

Defined in Data.Singletons.Prelude.Semigroup.Internal

Methods

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

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

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

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

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

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

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

SOrd a => SOrd (Product a)

Defined in Data.Singletons.Prelude.Semigroup.Internal

Methods

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

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

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

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

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

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

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

SOrd a => SOrd (Down a)

Defined in Data.Singletons.Prelude.Ord

Methods

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

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

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

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

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

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

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

(SOrd a, SOrd [a]) => SOrd (NonEmpty a)

Defined in Data.Singletons.Prelude.Ord

Methods

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

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

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

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

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

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

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

(SOrd a, SOrd b) => SOrd (Either a b)

Defined in Data.Singletons.Prelude.Ord

Methods

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

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

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

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

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

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

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

(SOrd a, SOrd b) => SOrd (a, b)

Defined in Data.Singletons.Prelude.Ord

Methods

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

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

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

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

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

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

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

SOrd a => SOrd (Arg a b)

Defined in Data.Singletons.Prelude.Semigroup

Methods

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

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

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

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

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

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

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

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

Defined in Data.Singletons.Prelude.Ord

Methods

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

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

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

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

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

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

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

SOrd a => SOrd (Const a b)

Defined in Data.Singletons.Prelude.Const

Methods

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

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

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

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

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

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

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

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

Defined in Data.Singletons.Prelude.Ord

Methods

sCompare :: forall (t :: (a, b, c, d)) (t :: (a, b, c, d)). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t)

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

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

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

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

sMax :: forall (t :: (a, b, c, d)) (t :: (a, b, c, d)). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t)

sMin :: forall (t :: (a, b, c, d)) (t :: (a, b, c, d)). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t)

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

Defined in Data.Singletons.Prelude.Ord

Methods

sCompare :: forall (t :: (a, b, c, d, e)) (t :: (a, b, c, d, e)). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t)

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

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

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

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

sMax :: forall (t :: (a, b, c, d, e)) (t :: (a, b, c, d, e)). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t)

sMin :: forall (t :: (a, b, c, d, e)) (t :: (a, b, c, d, e)). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t)

(SOrd a, SOrd b, SOrd c, SOrd d, SOrd e, SOrd f) => SOrd (a, b, c, d, e, f)

Defined in Data.Singletons.Prelude.Ord

Methods

sCompare :: forall (t :: (a, b, c, d, e, f)) (t :: (a, b, c, d, e, f)). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t)

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

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

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

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

sMax :: forall (t :: (a, b, c, d, e, f)) (t :: (a, b, c, d, e, f)). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t)

sMin :: forall (t :: (a, b, c, d, e, f)) (t :: (a, b, c, d, e, f)). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t)

(SOrd a, SOrd b, SOrd c, SOrd d, SOrd e, SOrd f, SOrd g) => SOrd (a, b, c, d, e, f, g)

Defined in Data.Singletons.Prelude.Ord

Methods

sCompare :: forall (t :: (a, b, c, d, e, f, g)) (t :: (a, b, c, d, e, f, g)). Sing t -> Sing t -> Sing (Apply (Apply CompareSym0 t) t)

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

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

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

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

sMax :: forall (t :: (a, b, c, d, e, f, g)) (t :: (a, b, c, d, e, f, g)). Sing t -> Sing t -> Sing (Apply (Apply MaxSym0 t) t)

sMin :: forall (t :: (a, b, c, d, e, f, g)) (t :: (a, b, c, d, e, f, g)). Sing t -> Sing t -> Sing (Apply (Apply MinSym0 t) t)

type family Comparing (a :: (~>) b a) (a :: b) (a :: b) :: Ordering where ...

Equations

Comparing p x y = Apply (Apply CompareSym0 (Apply p x)) (Apply p y)

sComparing :: forall b a (t :: (~>) b a) (t :: b) (t :: b). SOrd a => Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply ComparingSym0 t) t) t :: Ordering)

thenCmp returns its second argument if its first is EQ; otherwise, it returns its first argument.

thenCmp :: Ordering -> Ordering -> Ordering

type family ThenCmp (a :: Ordering) (a :: Ordering) :: Ordering where ...

Equations

ThenCmp 'EQ x = x

ThenCmp 'LT _ = LTSym0

ThenCmp 'GT _ = GTSym0

sThenCmp :: forall (t :: Ordering) (t :: Ordering). Sing t -> Sing t -> Sing (Apply (Apply ThenCmpSym0 t) t :: Ordering)

type family Sing :: k -> Type

The singleton kind-indexed type family.

Instances

type Sing

Defined in Data.Singletons.Prelude.Instances

type Sing = SBool

type Sing

Defined in Data.Singletons.Prelude.Instances

type Sing = SOrdering

type Sing

Defined in Data.Singletons.TypeLits.Internal

type Sing = SNat

type Sing

Defined in Data.Singletons.TypeLits.Internal

type Sing = SSymbol

type Sing

Defined in Data.Singletons.Prelude.Instances

type Sing = STuple0

type Sing

Defined in Data.Singletons.Prelude.Instances

type Sing = SVoid

type Sing

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SAll

type Sing

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SAny

type Sing

Defined in Data.Singletons.TypeError

type Sing = SErrorMessage

type Sing

Defined in Data.Singletons.Prelude.Instances

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

type Sing

Defined in Data.Singletons.Prelude.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.TypeRepTYPE

type Sing = TypeRep :: TYPE rep -> Type

type Sing

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SMin :: Min a -> Type

type Sing

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SMax :: Max a -> Type

type Sing

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SFirst :: First a -> Type

type Sing

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SLast :: Last a -> Type

type Sing

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SWrappedMonoid :: WrappedMonoid m -> Type

type Sing

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SOption :: Option a -> Type

type Sing

Defined in Data.Singletons.Prelude.Instances

type Sing = SIdentity :: Identity a -> Type

type Sing

Defined in Data.Singletons.Prelude.Monoid

type Sing = SFirst :: First a -> Type

type Sing

Defined in Data.Singletons.Prelude.Monoid

type Sing = SLast :: Last a -> Type

type Sing

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SDual :: Dual a -> Type

type Sing

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SSum :: Sum a -> Type

type Sing

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SProduct :: Product a -> Type

type Sing

Defined in Data.Singletons.Prelude.Ord

type Sing = SDown :: Down a -> Type

type Sing

Defined in Data.Singletons.Prelude.Instances

type Sing = SNonEmpty :: NonEmpty a -> Type

type Sing

Defined in Data.Singletons.Prelude.Instances

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

type Sing

Defined in Data.Singletons.Prelude.Instances

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

type Sing

Defined in Data.Singletons.Prelude.Semigroup

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

type Sing

Defined in Data.Singletons.Internal

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

type Sing

Defined in Data.Singletons.Internal

type Sing = SWrappedSing :: WrappedSing a -> Type

type Sing

Defined in Data.Singletons.Sigma

type Sing = SSigma :: Sigma s t -> Type

type Sing

Defined in Data.Singletons.Prelude.Instances

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

type Sing

Defined in Data.Singletons.Prelude.Const

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

type Sing

Defined in Data.Singletons.Prelude.Instances

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

type Sing

Defined in Data.Singletons.Prelude.Instances

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

type Sing

Defined in Data.Singletons.Prelude.Instances

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

type Sing

Defined in Data.Singletons.Prelude.Instances

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

data SOrdering :: Ordering -> Type where

Constructors

SLT :: SOrdering 'LT

SEQ :: SOrdering 'EQ

SGT :: SOrdering 'GT

Instances

TestCoercion SOrdering

Defined in Data.Singletons.Prelude.Instances

Methods

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

TestEquality SOrdering

Defined in Data.Singletons.Prelude.Instances

Methods

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

Show (SOrdering z)

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> SOrdering z -> ShowS

show :: SOrdering z -> String

showList :: [SOrdering z] -> ShowS

data SDown :: forall a. Down a -> Type where

Constructors

SDown :: forall a (n :: a). (Sing (n :: a)) -> SDown ('Down n)

Instances

SDecide a => TestCoercion (SDown :: Down a -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

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

SDecide a => TestEquality (SDown :: Down a -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

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

Defunctionalization symbols

data ThenCmpSym0 :: (~>) Ordering ((~>) Ordering Ordering)

Instances

SingI ThenCmpSym0

Defined in Data.Singletons.Prelude.Ord

Methods

sing :: Sing ThenCmpSym0

SuppressUnusedWarnings ThenCmpSym0

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply ThenCmpSym0 (a6989586621679404371 :: Ordering)

Defined in Data.Singletons.Prelude.Ord

type Apply ThenCmpSym0 (a6989586621679404371 :: Ordering) = ThenCmpSym1 a6989586621679404371

data ThenCmpSym1 (a6989586621679404371 :: Ordering) :: (~>) Ordering Ordering

Instances

SingI d => SingI (ThenCmpSym1 d :: TyFun Ordering Ordering -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

sing :: Sing (ThenCmpSym1 d)

SuppressUnusedWarnings (ThenCmpSym1 a6989586621679404371 :: TyFun Ordering Ordering -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply (ThenCmpSym1 a6989586621679404371 :: TyFun Ordering Ordering -> Type) (a6989586621679404372 :: Ordering)

Defined in Data.Singletons.Prelude.Ord

type Apply (ThenCmpSym1 a6989586621679404371 :: TyFun Ordering Ordering -> Type) (a6989586621679404372 :: Ordering) = ThenCmp a6989586621679404371 a6989586621679404372

type ThenCmpSym2 (a6989586621679404371 :: Ordering) (a6989586621679404372 :: Ordering) = ThenCmp a6989586621679404371 a6989586621679404372

type LTSym0 = 'LT

type EQSym0 = 'EQ

type GTSym0 = 'GT

data CompareSym0 :: forall a6989586621679393938. (~>) a6989586621679393938 ((~>) a6989586621679393938 Ordering)

Instances

SOrd a => SingI (CompareSym0 :: TyFun a (a ~> Ordering) -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

sing :: Sing CompareSym0

SuppressUnusedWarnings (CompareSym0 :: TyFun a6989586621679393938 (a6989586621679393938 ~> Ordering) -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply (CompareSym0 :: TyFun a6989586621679393938 (a6989586621679393938 ~> Ordering) -> Type) (arg6989586621679394027 :: a6989586621679393938)

Defined in Data.Singletons.Prelude.Ord

type Apply (CompareSym0 :: TyFun a6989586621679393938 (a6989586621679393938 ~> Ordering) -> Type) (arg6989586621679394027 :: a6989586621679393938) = CompareSym1 arg6989586621679394027

data CompareSym1 (arg6989586621679394027 :: a6989586621679393938) :: (~>) a6989586621679393938 Ordering

Instances

(SOrd a, SingI d) => SingI (CompareSym1 d :: TyFun a Ordering -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

sing :: Sing (CompareSym1 d)

SuppressUnusedWarnings (CompareSym1 arg6989586621679394027 :: TyFun a6989586621679393938 Ordering -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply (CompareSym1 arg6989586621679394027 :: TyFun a Ordering -> Type) (arg6989586621679394028 :: a)

Defined in Data.Singletons.Prelude.Ord

type Apply (CompareSym1 arg6989586621679394027 :: TyFun a Ordering -> Type) (arg6989586621679394028 :: a) = Compare arg6989586621679394027 arg6989586621679394028

type CompareSym2 (arg6989586621679394027 :: a6989586621679393938) (arg6989586621679394028 :: a6989586621679393938) = Compare arg6989586621679394027 arg6989586621679394028

data (<@#@$) :: forall a6989586621679393938. (~>) a6989586621679393938 ((~>) a6989586621679393938 Bool) infix 4

Instances

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

Defined in Data.Singletons.Prelude.Ord

Methods

sing :: Sing (<@#@$)

SuppressUnusedWarnings ((<@#@$) :: TyFun a6989586621679393938 (a6989586621679393938 ~> Bool) -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply ((<@#@$) :: TyFun a6989586621679393938 (a6989586621679393938 ~> Bool) -> Type) (arg6989586621679394031 :: a6989586621679393938)

Defined in Data.Singletons.Prelude.Ord

type Apply ((<@#@$) :: TyFun a6989586621679393938 (a6989586621679393938 ~> Bool) -> Type) (arg6989586621679394031 :: a6989586621679393938) = (<@#@$$) arg6989586621679394031

data (<@#@$$) (arg6989586621679394031 :: a6989586621679393938) :: (~>) a6989586621679393938 Bool infix 4

Instances

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

Defined in Data.Singletons.Prelude.Ord

Methods

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

SuppressUnusedWarnings ((<@#@$$) arg6989586621679394031 :: TyFun a6989586621679393938 Bool -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply ((<@#@$$) arg6989586621679394031 :: TyFun a Bool -> Type) (arg6989586621679394032 :: a)

Defined in Data.Singletons.Prelude.Ord

type Apply ((<@#@$$) arg6989586621679394031 :: TyFun a Bool -> Type) (arg6989586621679394032 :: a) = arg6989586621679394031 < arg6989586621679394032

type (<@#@$$$) (arg6989586621679394031 :: a6989586621679393938) (arg6989586621679394032 :: a6989586621679393938) = (<) arg6989586621679394031 arg6989586621679394032

data (<=@#@$) :: forall a6989586621679393938. (~>) a6989586621679393938 ((~>) a6989586621679393938 Bool) infix 4

Instances

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

Defined in Data.Singletons.Prelude.Ord

Methods

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

SuppressUnusedWarnings ((<=@#@$) :: TyFun a6989586621679393938 (a6989586621679393938 ~> Bool) -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply ((<=@#@$) :: TyFun a6989586621679393938 (a6989586621679393938 ~> Bool) -> Type) (arg6989586621679394035 :: a6989586621679393938)

Defined in Data.Singletons.Prelude.Ord

type Apply ((<=@#@$) :: TyFun a6989586621679393938 (a6989586621679393938 ~> Bool) -> Type) (arg6989586621679394035 :: a6989586621679393938) = (<=@#@$$) arg6989586621679394035

data (<=@#@$$) (arg6989586621679394035 :: a6989586621679393938) :: (~>) a6989586621679393938 Bool infix 4

Instances

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

Defined in Data.Singletons.Prelude.Ord

Methods

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

SuppressUnusedWarnings ((<=@#@$$) arg6989586621679394035 :: TyFun a6989586621679393938 Bool -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply ((<=@#@$$) arg6989586621679394035 :: TyFun a Bool -> Type) (arg6989586621679394036 :: a)

Defined in Data.Singletons.Prelude.Ord

type Apply ((<=@#@$$) arg6989586621679394035 :: TyFun a Bool -> Type) (arg6989586621679394036 :: a) = arg6989586621679394035 <= arg6989586621679394036

type (<=@#@$$$) (arg6989586621679394035 :: a6989586621679393938) (arg6989586621679394036 :: a6989586621679393938) = (<=) arg6989586621679394035 arg6989586621679394036

data (>@#@$) :: forall a6989586621679393938. (~>) a6989586621679393938 ((~>) a6989586621679393938 Bool) infix 4

Instances

SOrd a => SingI ((>@#@$) :: TyFun a (a ~> Bool) -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

sing :: Sing (>@#@$)

SuppressUnusedWarnings ((>@#@$) :: TyFun a6989586621679393938 (a6989586621679393938 ~> Bool) -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply ((>@#@$) :: TyFun a6989586621679393938 (a6989586621679393938 ~> Bool) -> Type) (arg6989586621679394039 :: a6989586621679393938)

Defined in Data.Singletons.Prelude.Ord

type Apply ((>@#@$) :: TyFun a6989586621679393938 (a6989586621679393938 ~> Bool) -> Type) (arg6989586621679394039 :: a6989586621679393938) = (>@#@$$) arg6989586621679394039

data (>@#@$$) (arg6989586621679394039 :: a6989586621679393938) :: (~>) a6989586621679393938 Bool infix 4

Instances

(SOrd a, SingI d) => SingI ((>@#@$$) d :: TyFun a Bool -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

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

SuppressUnusedWarnings ((>@#@$$) arg6989586621679394039 :: TyFun a6989586621679393938 Bool -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply ((>@#@$$) arg6989586621679394039 :: TyFun a Bool -> Type) (arg6989586621679394040 :: a)

Defined in Data.Singletons.Prelude.Ord

type Apply ((>@#@$$) arg6989586621679394039 :: TyFun a Bool -> Type) (arg6989586621679394040 :: a) = arg6989586621679394039 > arg6989586621679394040

type (>@#@$$$) (arg6989586621679394039 :: a6989586621679393938) (arg6989586621679394040 :: a6989586621679393938) = (>) arg6989586621679394039 arg6989586621679394040

data (>=@#@$) :: forall a6989586621679393938. (~>) a6989586621679393938 ((~>) a6989586621679393938 Bool) infix 4

Instances

SOrd a => SingI ((>=@#@$) :: TyFun a (a ~> Bool) -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

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

SuppressUnusedWarnings ((>=@#@$) :: TyFun a6989586621679393938 (a6989586621679393938 ~> Bool) -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply ((>=@#@$) :: TyFun a6989586621679393938 (a6989586621679393938 ~> Bool) -> Type) (arg6989586621679394043 :: a6989586621679393938)

Defined in Data.Singletons.Prelude.Ord

type Apply ((>=@#@$) :: TyFun a6989586621679393938 (a6989586621679393938 ~> Bool) -> Type) (arg6989586621679394043 :: a6989586621679393938) = (>=@#@$$) arg6989586621679394043

data (>=@#@$$) (arg6989586621679394043 :: a6989586621679393938) :: (~>) a6989586621679393938 Bool infix 4

Instances

(SOrd a, SingI d) => SingI ((>=@#@$$) d :: TyFun a Bool -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

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

SuppressUnusedWarnings ((>=@#@$$) arg6989586621679394043 :: TyFun a6989586621679393938 Bool -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply ((>=@#@$$) arg6989586621679394043 :: TyFun a Bool -> Type) (arg6989586621679394044 :: a)

Defined in Data.Singletons.Prelude.Ord

type Apply ((>=@#@$$) arg6989586621679394043 :: TyFun a Bool -> Type) (arg6989586621679394044 :: a) = arg6989586621679394043 >= arg6989586621679394044

type (>=@#@$$$) (arg6989586621679394043 :: a6989586621679393938) (arg6989586621679394044 :: a6989586621679393938) = (>=) arg6989586621679394043 arg6989586621679394044

data MaxSym0 :: forall a6989586621679393938. (~>) a6989586621679393938 ((~>) a6989586621679393938 a6989586621679393938)

Instances

SOrd a => SingI (MaxSym0 :: TyFun a (a ~> a) -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

sing :: Sing MaxSym0

SuppressUnusedWarnings (MaxSym0 :: TyFun a6989586621679393938 (a6989586621679393938 ~> a6989586621679393938) -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply (MaxSym0 :: TyFun a6989586621679393938 (a6989586621679393938 ~> a6989586621679393938) -> Type) (arg6989586621679394047 :: a6989586621679393938)

Defined in Data.Singletons.Prelude.Ord

type Apply (MaxSym0 :: TyFun a6989586621679393938 (a6989586621679393938 ~> a6989586621679393938) -> Type) (arg6989586621679394047 :: a6989586621679393938) = MaxSym1 arg6989586621679394047

data MaxSym1 (arg6989586621679394047 :: a6989586621679393938) :: (~>) a6989586621679393938 a6989586621679393938

Instances

(SOrd a, SingI d) => SingI (MaxSym1 d :: TyFun a a -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

sing :: Sing (MaxSym1 d)

SuppressUnusedWarnings (MaxSym1 arg6989586621679394047 :: TyFun a6989586621679393938 a6989586621679393938 -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply (MaxSym1 arg6989586621679394047 :: TyFun a a -> Type) (arg6989586621679394048 :: a)

Defined in Data.Singletons.Prelude.Ord

type Apply (MaxSym1 arg6989586621679394047 :: TyFun a a -> Type) (arg6989586621679394048 :: a) = Max arg6989586621679394047 arg6989586621679394048

type MaxSym2 (arg6989586621679394047 :: a6989586621679393938) (arg6989586621679394048 :: a6989586621679393938) = Max arg6989586621679394047 arg6989586621679394048

data MinSym0 :: forall a6989586621679393938. (~>) a6989586621679393938 ((~>) a6989586621679393938 a6989586621679393938)

Instances

SOrd a => SingI (MinSym0 :: TyFun a (a ~> a) -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

sing :: Sing MinSym0

SuppressUnusedWarnings (MinSym0 :: TyFun a6989586621679393938 (a6989586621679393938 ~> a6989586621679393938) -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply (MinSym0 :: TyFun a6989586621679393938 (a6989586621679393938 ~> a6989586621679393938) -> Type) (arg6989586621679394051 :: a6989586621679393938)

Defined in Data.Singletons.Prelude.Ord

type Apply (MinSym0 :: TyFun a6989586621679393938 (a6989586621679393938 ~> a6989586621679393938) -> Type) (arg6989586621679394051 :: a6989586621679393938) = MinSym1 arg6989586621679394051

data MinSym1 (arg6989586621679394051 :: a6989586621679393938) :: (~>) a6989586621679393938 a6989586621679393938

Instances

(SOrd a, SingI d) => SingI (MinSym1 d :: TyFun a a -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

sing :: Sing (MinSym1 d)

SuppressUnusedWarnings (MinSym1 arg6989586621679394051 :: TyFun a6989586621679393938 a6989586621679393938 -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply (MinSym1 arg6989586621679394051 :: TyFun a a -> Type) (arg6989586621679394052 :: a)

Defined in Data.Singletons.Prelude.Ord

type Apply (MinSym1 arg6989586621679394051 :: TyFun a a -> Type) (arg6989586621679394052 :: a) = Min arg6989586621679394051 arg6989586621679394052

type MinSym2 (arg6989586621679394051 :: a6989586621679393938) (arg6989586621679394052 :: a6989586621679393938) = Min arg6989586621679394051 arg6989586621679394052

data ComparingSym0 :: forall b6989586621679393928 a6989586621679393927. (~>) ((~>) b6989586621679393928 a6989586621679393927) ((~>) b6989586621679393928 ((~>) b6989586621679393928 Ordering))

Instances

SOrd a => SingI (ComparingSym0 :: TyFun (b ~> a) (b ~> (b ~> Ordering)) -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

sing :: Sing ComparingSym0

SuppressUnusedWarnings (ComparingSym0 :: TyFun (b6989586621679393928 ~> a6989586621679393927) (b6989586621679393928 ~> (b6989586621679393928 ~> Ordering)) -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply (ComparingSym0 :: TyFun (b6989586621679393928 ~> a6989586621679393927) (b6989586621679393928 ~> (b6989586621679393928 ~> Ordering)) -> Type) (a6989586621679394018 :: b6989586621679393928 ~> a6989586621679393927)

Defined in Data.Singletons.Prelude.Ord

type Apply (ComparingSym0 :: TyFun (b6989586621679393928 ~> a6989586621679393927) (b6989586621679393928 ~> (b6989586621679393928 ~> Ordering)) -> Type) (a6989586621679394018 :: b6989586621679393928 ~> a6989586621679393927) = ComparingSym1 a6989586621679394018

data ComparingSym1 (a6989586621679394018 :: (~>) b6989586621679393928 a6989586621679393927) :: (~>) b6989586621679393928 ((~>) b6989586621679393928 Ordering)

Instances

(SOrd a, SingI d) => SingI (ComparingSym1 d :: TyFun b (b ~> Ordering) -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

sing :: Sing (ComparingSym1 d)

SuppressUnusedWarnings (ComparingSym1 a6989586621679394018 :: TyFun b6989586621679393928 (b6989586621679393928 ~> Ordering) -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply (ComparingSym1 a6989586621679394018 :: TyFun b6989586621679393928 (b6989586621679393928 ~> Ordering) -> Type) (a6989586621679394019 :: b6989586621679393928)

Defined in Data.Singletons.Prelude.Ord

type Apply (ComparingSym1 a6989586621679394018 :: TyFun b6989586621679393928 (b6989586621679393928 ~> Ordering) -> Type) (a6989586621679394019 :: b6989586621679393928) = ComparingSym2 a6989586621679394018 a6989586621679394019

data ComparingSym2 (a6989586621679394018 :: (~>) b6989586621679393928 a6989586621679393927) (a6989586621679394019 :: b6989586621679393928) :: (~>) b6989586621679393928 Ordering

Instances

(SOrd a, SingI d1, SingI d2) => SingI (ComparingSym2 d1 d2 :: TyFun b Ordering -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

sing :: Sing (ComparingSym2 d1 d2)

SuppressUnusedWarnings (ComparingSym2 a6989586621679394019 a6989586621679394018 :: TyFun b6989586621679393928 Ordering -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply (ComparingSym2 a6989586621679394019 a6989586621679394018 :: TyFun b Ordering -> Type) (a6989586621679394020 :: b)

Defined in Data.Singletons.Prelude.Ord

type Apply (ComparingSym2 a6989586621679394019 a6989586621679394018 :: TyFun b Ordering -> Type) (a6989586621679394020 :: b) = Comparing a6989586621679394019 a6989586621679394018 a6989586621679394020

type ComparingSym3 (a6989586621679394018 :: (~>) b6989586621679393928 a6989586621679393927) (a6989586621679394019 :: b6989586621679393928) (a6989586621679394020 :: b6989586621679393928) = Comparing a6989586621679394018 a6989586621679394019 a6989586621679394020

data DownSym0 :: forall (a6989586621679097355 :: Type). (~>) a6989586621679097355 (Down (a6989586621679097355 :: Type))

Instances

SingI (DownSym0 :: TyFun a (Down a) -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

sing :: Sing DownSym0

SuppressUnusedWarnings (DownSym0 :: TyFun a6989586621679097355 (Down a6989586621679097355) -> Type)

Defined in Data.Singletons.Prelude.Ord

Methods

suppressUnusedWarnings :: ()

type Apply (DownSym0 :: TyFun a (Down a) -> Type) (t6989586621679403034 :: a)

Defined in Data.Singletons.Prelude.Ord

type Apply (DownSym0 :: TyFun a (Down a) -> Type) (t6989586621679403034 :: a) = 'Down t6989586621679403034

type DownSym1 (t6989586621679403034 :: a6989586621679097355) = 'Down t6989586621679403034

Orphan instances

SingKind a => SingKind (Down a)

Associated Types

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

Methods

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

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

SDecide a => SDecide (Down a)

Methods

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

PEq (Down a)

Associated Types

type x == y :: Bool

type x /= y :: Bool

SEq a => SEq (Down a)

Methods

(%==) :: forall (a0 :: Down a) (b :: Down a). Sing a0 -> Sing b -> Sing (a0 == b)

(%/=) :: forall (a0 :: Down a) (b :: Down a). Sing a0 -> Sing b -> Sing (a0 /= b)

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

Methods

sing :: Sing ('Down0 n)