How to become a better proof writer prove the statement "if n is an even integer, then n2 is an even integer. first state all the definitions necessary to prove the statement. next, discuss the different methods to prove the statements. "direct proof" method 1. "contrapositive, indirect, proof" method 2. or "proof by contradiction" method 3. write the first and the last statements of the proof of the statements given using three different methods. 1. using "direct proof" method using "contrapositive, or indirect, proof" method 2. using "proof by contradiction" method 3.