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Well-Ordering

 
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Nov12-07, 04:41 PM   #1
 

Well-Ordering

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?
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Nov12-07, 04:41 PM   #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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