Prove the following statement. any product of four consecutive integers is one less than a perfect square. present your proof in 2-column format (see hw w2-2 for an example). justify all your steps. use the following formal definitions in your proof. two integers are consecutive if, and only if, one is one more than the other. a, b consecutive (a + 1 = b) v (b + 1 = a) an integer a is a perfect square if and only if it equals the square of an integer. a € z is a perfect square 3b ez a = b2