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{-# LANGUAGE TypeFamilies #-}
{-# LANGUAGE DataKinds #-}
{-# LANGUAGE PolyKinds #-}
{-# LANGUAGE TypeOperators #-}
{-# LANGUAGE UndecidableInstances #-}
module T14991 where
import Data.Kind
type family Promote (k :: Type) :: Type
type family PromoteX (a :: k) :: Promote k
type family Demote (k :: Type) :: Type
type family DemoteX (a :: k) :: Demote k
-----
-- Type
-----
type instance Demote Type = Type
type instance Promote Type = Type
type instance DemoteX (a :: Type) = Demote a
type instance PromoteX (a :: Type) = Promote a
-----
-- Arrows
-----
data TyFun :: Type -> Type -> Type
type a ~> b = TyFun a b -> Type
infixr 0 ~>
type instance Demote (a ~> b) = DemoteX a -> DemoteX b
type instance Promote (a -> b) = PromoteX a ~> PromoteX b
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