6. Find the logic error in the proof. Explain why the proof is not valid; 4P. meaning, why is the proof logically wrong (do not say because the claim is false). False Claim. Let n N. (x) 2n =0. Proof. We prove the claim using proof by contradiction. For the sake of contradiction, assume there exists a natural number such that (x) does not hold. By the Well-Ordering Principle, there exists a smallest x N such that 2z # 0. Note z # 0. Then there exist 7, 7 N such that , j