Consider the following premises. For all z, z will play tennis or z will not play squash. For all z, if z were an artist, then z is playing tennis. For all z, z will play squash or z is an artist. Can we infer the following from them? If we can, name the inference rule being used: There is at least one z for which z will not play tennis.
 From the fact that for all z, z will play tennis or z will not play squash we can infer that for all z, if z plays squash, then z is playing tennis via universal rewriting. Finally, from the fact that for all z, if z plays squash, then z is playing tennis, that for all z, if z were an artist, then z is playing tennis, and that for all z, z will play squash or z is an artist we can infer that for all z, z will play tennis via universal disjunction elimination, which contradicts that There is at least one z for which z will not play tennis. Therefore, the answer is no.