a) Let a be an integer with a > 0. The integer a is even if and only if a = 0 mod 2. Note to self: write out what "if and only if' means. You'll be proving two conditional statements. (b) Write a new theorem: Let a be an integer with a > 0. The integer a is threeven if and only if (Definition of threeven an integer n is called threeven if there exists an integer k so that n = 3k.)

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