<SYSTEM_TASK:>
Solve the following problem using Python, implementing the functions described below, one line at a time
<END_TASK>
<USER_TASK:>
Description:
 def check_contiguity(w, neighbors, leaver):
 """Check if contiguity is maintained if leaver is removed from neighbors Parameters w : spatial weights object simple contiguity based weights neighbors : list nodes that are to be checked if they form a single \ connected component leaver : id a member of neighbors to check for removal Returns ------- True : if removing leaver from neighbors does not break contiguity of remaining set in neighbors False : if removing leaver from neighbors breaks contiguity Example ------- Setup imports and a 25x25 spatial weights matrix on a 5x5 square region. Test removing various areas from a subset of the region's areas. In the first case the subset is defined as observations 0, 1, 2, 3 and 4. The test shows that observations 0, 1, 2 and 3 remain connected even if observation 4 is removed. True False True False """


    ids = neighbors[:]
    ids.remove(leaver)
    return is_component(w, ids)