12/5/2008:Yeaaaa... So I actually did solve this problem set but didn't want to hand it in during the Thursday and also did not want to go to the Friday lecture, so I was -supposed- to give it a friend to hand in for me but ended up not wanting to as i passed by their dorm...so yea...didn't hand it in...but here it is anyways in all its glory minus the actual proof because I can't seem to find that any more (I think I did it by hand on paper somewhere?):
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