5.4.8 suppose that [p(n) : n 2 m) are a collection of propositions as considered in the principle of strong induction. for each n 2m, let q(n) be the proposition prove that the principle of strong induction is equivalent to the principle of induction stated as follows: suppose that (a) q(l) is true. (b) vr121, q(n) → q(n + 1). then q(m) is true for all ne z2