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Well-Ordering formulation correct?

  1. Nov 12, 2007 #1
    I looked for the most generalized lexicographical (dictionary) order on an arbitrary cartesian product in textbooks but I could not find it. So I posed my own theorem (in the form of a proof question). Is the formulation correct?

  2. jcsd
  3. Nov 12, 2007 #2
    Here's my proof. Could someone versed in set theory check if my proof is correct? I cannot find the proof in any textbook:

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