What is wrong with this "proof" by strong induction
Chapter 5, Problem 29E(choose chapter or problem)
What is wrong with this "proof" by strong induction? "Theorem" For every nonnegative integer n, 5n = 0. Basis Step: 5?0 = 0.Inductive Step: Suppose that 5j = 0 for all nonnegative integers j with 0 ? j ? k. Write k + 1 = i + j. where i and j are natural numbers less than k + 1. By the inductive hypothesis, 5(k + 1) = 5(i + j) = 5i + 5j = 0 + 0 = 0.
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