Problem 2.2. Determine whether the following statements are true or false. Prove or disprove each of the of statements (with a rigorous proof or a concrete counterexample): (1) (Va)(Vb)(vc)[(a | bc ^ a{ b) = a | c], in the universe of all integers. (In other words, for all integers a, b and c, if a | bc and afb then a | c.) (2) (Va)(Vb)(Vc)(Vd)[; > å = ad > be], in the universe of all non-zero real numbers. (In other words, for all non-zero real numbers a, b, c and d, if ... then ...) Hint. Provide a rigorous proof if a statement is true. Give a concrete counterexample if a

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