{-# LANGUAGE GADTs #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE KindSignatures #-}
{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE FunctionalDependencies #-}
{-# LANGUAGE UndecidableInstances #-}

-- #345

module ShouldCompile where

data Succ n
data Zero

class Plus x y z | x y -> z
instance Plus Zero x x
instance Plus x y z => Plus (Succ x) y (Succ z)

infixr 5 :::

data List :: * -> * -> * where
              Nil :: List a Zero
              (:::) :: a -> List a n -> List a (Succ n)

append :: Plus x y z => List a x -> List a y -> List a z
append Nil ys = ys
append (x ::: xs) ys = x ::: append xs ys