# corollary of Borel-Cantelli lemma

Under independence, we have an equivalence.

sketch: You have only to think about the counterpositive of the lemmas and use the Kolmogorov 0-1 law or try to do it by contradiction which is simplier.

Title corollary of Borel-Cantelli lemma CorollaryOfBorelCantelliLemma 2013-03-22 15:22:09 2013-03-22 15:22:09 renato (9974) renato (9974) 10 renato (9974) Corollary msc 60A99