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"Obvious but hard to prove"
Posted:
Oct 5, 2007 10:58 AM


So far as I can tell, the only complete correct proof of the proposition was provided by Z. Karno. Others are wrong or incomplete. This is not surprising because the theorem does appear to be obvious, while the proof by Karno is surprisingly complicated. I am going to submit this problem to the Monthly with appropriate credit. Thanks to all who answered.
Steve Gray



