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Question: problem 2 proving theorems 20 marks for each of the...

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Problem 2 (Proving theorems!) [20 marks] For each of the following statements, translate it into predicate logic and prove it, if the statement is true, or disprove it, otherwise: 1. for any two even integers, there exists a third integer (even or odd the double of which is equal to the sum of the first two integers. 2. for any two odd integers, there exists a third integer (even or odd) the triple of which is equal to the sum of the first two integers.

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