First time doing real analysis, using Tao's Analysis I, and I'm stuck in the second problem (2.3.2) If n and m are both positive, then nm is also positive. How do I prove such an obvious statement? I think I have to use the peano axioms and induction, using as base case n = 1, but I really don't know what would be my induction hypothesis (both n and m are positive?).
2026-03-26 08:00:41.1774512041
Prove that the product of 2 positive natural numbers is also positive.
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