Consider the following sentence: If the product of two integ…

Consider the following sentence: If the product of two integers is even, then at least one of those integers must be even. 1) Write that sentence as a logical statement (quantifiers will be involved). You may use standard arithmetical symbols such as multiplication, division, etc. Ensure that your statement is a proposition. 2) Prove the statement from definitions. You may use the fact that every integer is even or odd and never both.  3) Identify that method of proof that you used.