+\subsection{Prelude monad functions}
+%* *
+%*********************************************************
+
+\begin{code}
+{-# SPECIALISE (=<<) :: (a -> [b]) -> [a] -> [b] #-}
+(=<<) :: Monad m => (a -> m b) -> m a -> m b
+f =<< x = x >>= f
+
+sequence :: Monad m => [m a] -> m [a]
+{-# INLINE sequence #-}
+sequence ms = foldr k (return []) ms
+ where
+ k m m' = do { x <- m; xs <- m'; return (x:xs) }
+
+sequence_ :: Monad m => [m a] -> m ()
+{-# INLINE sequence_ #-}
+sequence_ ms = foldr (>>) (return ()) ms
+
+mapM :: Monad m => (a -> m b) -> [a] -> m [b]
+{-# INLINE mapM #-}
+mapM f as = sequence (map f as)
+
+mapM_ :: Monad m => (a -> m b) -> [a] -> m ()
+{-# INLINE mapM_ #-}
+mapM_ f as = sequence_ (map f as)
+\end{code}
+
+%*********************************************************
+%* *