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Topic: Double Induction -- A brief note that may help
Replies: 13   Last Post: Jul 18, 2013 12:42 AM

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Registered: 10/7/06
Re: Double Induction -- A brief note that may help
Posted: Jul 16, 2013 7:02 PM
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On Wednesday, July 17, 2013 12:00:42 AM UTC+1, christian.bau wrote:

That would indeed prove P (x, y) for all pairs x, y. However, it may be impossible to prove one of these. For example, I might be able to prove P (x, y) implies P (x+1, y), and I might only be able to prove that if P (x, y) is true for all integers y, then P (x + 1, 0) is true.

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