Prove the following statement directly from the definitions. The product of any two even integers is a multiple of 4. vr such that m =---Select--- v, and there exists ---Select-- Proof: Let m and n be any two even integers. By definition of even there exists ---Select--- such that n = ---Select- v By substitution, mn = 4 - which is an integer because --Select--- v of integers are integers. Thus mn = 4- (an integer), and so 4|mn by definition of divisibility.

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