Let S be a subset of N such that (a) 2k E S for all kEN, and (b) if k E S and k 2: 2

Chapter 1, Problem 19

(choose chapter or problem)

Let S be a subset of N such that (a) 2k E S for all kEN, and (b) if k E S and k 2: 2, then k - 1 E S. Prove that S = N. 2

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