3) Let 7111,1712 . . . ,mu 6 N be pairwise relatively prime. This is, for all i g j, we have that ("ms-11.1) = 1. Let 2 E Z. Prove that the following statements are equivalent. a) 2:50 (mod m1),ZED (modmg),...,zEO(mod mm), b) ZED (mod mlmg-nm). (Hint: The proof of a) implies b) can be done by induction over 11..)