4. Let P denote the following sentence: Let n, d, p E Z be integers such that d> 0 and p is prime. If d divides n and 1 or p divides n. d divides n + p, then d = (a) Write P as a logical sentence using quantifiers (V, 3) and logical connectives (^, V, ⇒, etc.). (b) Write the negation P. (c) Which statement is true, P or -P? Prove the true statement.

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