Before revision:  Then we show that a natural multivariate generalization of the DeMillo-Lipton-Schwartz-Zippel lemma holds} , except for a special family of polynomials -that we call \lambda -reducible-, a natural multivariate generalization of Schwartz-Zippel-DeMillo-Lipton lemma holds.
After revision:  Then we show that a natural multivariate generalization of the DeMillo-Lipton-Schwartz-Zippel lemma holds} , except for a special family of polynomials that we call \lambda -reducible-, a natural multivariate generalization of Schwartz-Zippel-DeMillo-Lipton lemma holds.