Copyright	(C) 2014 Jan Stolarek
License	BSD-style (see LICENSE)
Maintainer	Jan Stolarek (jan.stolarek@p.lodz.pl)
Stability	experimental
Portability	non-portable
Safe Haskell	None
Language	Haskell2010

Data.Promotion.Prelude.Eq

Description

Provided promoted definitions related to type-level equality.

Synopsis

Documentation

class PEq a #

The promoted analogue of Eq. If you supply no definition for '(:==)', then it defaults to a use of '(==)', from Data.Type.Equality.

Associated Types

type (x :: a) :== (y :: a) :: Bool infix 4 #

type (x :: a) :/= (y :: a) :: Bool infix 4 #

Instances

PEq Bool #
Associated Types type (Bool :== (x :: Bool)) (y :: Bool) :: Bool # type (Bool :/= (x :: Bool)) (y :: Bool) :: Bool #
PEq Ordering #
Associated Types type (Ordering :== (x :: Ordering)) (y :: Ordering) :: Bool # type (Ordering :/= (x :: Ordering)) (y :: Ordering) :: Bool #
PEq () #
Associated Types type (() :== (x :: ())) (y :: ()) :: Bool # type (() :/= (x :: ())) (y :: ()) :: Bool #
PEq [k] #
Associated Types type ([k] :== (x :: [k])) (y :: [k]) :: Bool # type ([k] :/= (x :: [k])) (y :: [k]) :: Bool #
PEq (Maybe k) #
Associated Types type ((Maybe k) :== (x :: Maybe k)) (y :: Maybe k) :: Bool # type ((Maybe k) :/= (x :: Maybe k)) (y :: Maybe k) :: Bool #
PEq (NonEmpty k) #
Associated Types type ((NonEmpty k) :== (x :: NonEmpty k)) (y :: NonEmpty k) :: Bool # type ((NonEmpty k) :/= (x :: NonEmpty k)) (y :: NonEmpty k) :: Bool #
PEq (Either k1 k2) #
Associated Types type ((Either k1 k2) :== (x :: Either k1 k2)) (y :: Either k1 k2) :: Bool # type ((Either k1 k2) :/= (x :: Either k1 k2)) (y :: Either k1 k2) :: Bool #
PEq (k1, k2) #
Associated Types type ((k1, k2) :== (x :: (k1, k2))) (y :: (k1, k2)) :: Bool # type ((k1, k2) :/= (x :: (k1, k2))) (y :: (k1, k2)) :: Bool #
PEq (k1, k2, k3) #
Associated Types type ((k1, k2, k3) :== (x :: (k1, k2, k3))) (y :: (k1, k2, k3)) :: Bool # type ((k1, k2, k3) :/= (x :: (k1, k2, k3))) (y :: (k1, k2, k3)) :: Bool #
PEq (k1, k2, k3, k4) #
Associated Types type ((k1, k2, k3, k4) :== (x :: (k1, k2, k3, k4))) (y :: (k1, k2, k3, k4)) :: Bool # type ((k1, k2, k3, k4) :/= (x :: (k1, k2, k3, k4))) (y :: (k1, k2, k3, k4)) :: Bool #
PEq (k1, k2, k3, k4, k5) #
Associated Types type ((k1, k2, k3, k4, k5) :== (x :: (k1, k2, k3, k4, k5))) (y :: (k1, k2, k3, k4, k5)) :: Bool # type ((k1, k2, k3, k4, k5) :/= (x :: (k1, k2, k3, k4, k5))) (y :: (k1, k2, k3, k4, k5)) :: Bool #
PEq (k1, k2, k3, k4, k5, k6) #
Associated Types type ((k1, k2, k3, k4, k5, k6) :== (x :: (k1, k2, k3, k4, k5, k6))) (y :: (k1, k2, k3, k4, k5, k6)) :: Bool # type ((k1, k2, k3, k4, k5, k6) :/= (x :: (k1, k2, k3, k4, k5, k6))) (y :: (k1, k2, k3, k4, k5, k6)) :: Bool #
PEq (k1, k2, k3, k4, k5, k6, k7) #
Associated Types type ((k1, k2, k3, k4, k5, k6, k7) :== (x :: (k1, k2, k3, k4, k5, k6, k7))) (y :: (k1, k2, k3, k4, k5, k6, k7)) :: Bool # type ((k1, k2, k3, k4, k5, k6, k7) :/= (x :: (k1, k2, k3, k4, k5, k6, k7))) (y :: (k1, k2, k3, k4, k5, k6, k7)) :: Bool #

data (:==$) (l :: TyFun a1627689599 (TyFun a1627689599 Bool -> Type)) #

Instances

SuppressUnusedWarnings (TyFun a1627689599 (TyFun a1627689599 Bool -> Type) -> *) ((:==$) a1627689599) #
Methods suppressUnusedWarnings :: Proxy ((:==$) a1627689599) t -> () #
type Apply a1627689599 (TyFun a1627689599 Bool -> Type) ((:==$) a1627689599) l #
type Apply a1627689599 (TyFun a1627689599 Bool -> Type) ((:==$) a1627689599) l = (:==$$) a1627689599 l

data (l :: a1627689599) :==$$ (l :: TyFun a1627689599 Bool) #

Instances

SuppressUnusedWarnings (a1627689599 -> TyFun a1627689599 Bool -> *) ((:==$$) a1627689599) #
Methods suppressUnusedWarnings :: Proxy ((:==$$) a1627689599) t -> () #
type Apply a Bool ((:==$$) a l1) l2 #
type Apply a Bool ((:==$$) a l1) l2 = (:==) a l1 l2

type (:==$$$) (t :: a1627689599) (t :: a1627689599) = (:==) t t #

data (:/=$) (l :: TyFun a1627689599 (TyFun a1627689599 Bool -> Type)) #

Instances

SuppressUnusedWarnings (TyFun a1627689599 (TyFun a1627689599 Bool -> Type) -> *) ((:/=$) a1627689599) #
Methods suppressUnusedWarnings :: Proxy ((:/=$) a1627689599) t -> () #
type Apply a1627689599 (TyFun a1627689599 Bool -> Type) ((:/=$) a1627689599) l #
type Apply a1627689599 (TyFun a1627689599 Bool -> Type) ((:/=$) a1627689599) l = (:/=$$) a1627689599 l

data (l :: a1627689599) :/=$$ (l :: TyFun a1627689599 Bool) #

Instances

SuppressUnusedWarnings (a1627689599 -> TyFun a1627689599 Bool -> *) ((:/=$$) a1627689599) #
Methods suppressUnusedWarnings :: Proxy ((:/=$$) a1627689599) t -> () #
type Apply a Bool ((:/=$$) a l1) l2 #
type Apply a Bool ((:/=$$) a l1) l2 = (:/=) a l1 l2

type (:/=$$$) (t :: a1627689599) (t :: a1627689599) = (:/=) t t #