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Newsgroups: sci.math
From: agapito6...@aol.com
Date: Sun, 1 Nov 2009 11:44:58 -0800 (PST)
Local: Sun, Nov 1 2009 7:44 pm
Subject: Need help with proof of Zorn Lemma
It states: If X is a partially ordered set such that every chain in X
has an upper bound, then X contains a maximal element. I'm trying to understand Halmos' proof. To summarize, instead of dealing with X, he deals with Y, which is the set of all chains in X, and, after a long series of contortions, proves the existence of a maximal element in Y. Can someone please help explain: 1.- How is this procedure equivalent to proving the existence of a 2.- How or where is the original hypothesis invoked? In the proof, the only basic principle invoked is the Axiom of You must Sign in before you can post messages.
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