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(5) Let P be a proposition defined on N∗ n for some n ∈ N∗ ....

(5) Let P be a proposition defined on N∗ n for some n ∈ N∗ . Let P(n) be true. Suppose ∀j, 1 < j ≤ n, P(j) =⇒ P(j − 1). Prove that P(1), . . . P(n) is true.

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