Who disproved Lamarck's theory of use and disuse?

If I'm not mistaken the Law of Use and Disuse was disproved by August Weisman (scientist) several years after the death of Darwin (late 1800's). Weisman thought that if the law of use and disuse was true, he could prove it by cutting off the tails of mice for 20 generations in a row. No matter how many mice he cut the tail off of, the babies were born with a tail. His experiment proved that the law of use and disuse was false.