Consider the following premises. For all x, x will play a game if and only if x will play tennis. For all x, if x plays a game, then x is a scientist. There is at least one x for which x is not a scientist. Can we infer the following from them? There is at least one x for which x will not play tennis.
 From the fact that for all x, x will play a game if and only if x will play tennis we can infer that for all x, if x plays tennis, then x is playing a game. From the fact that for all x, if x plays tennis, then x is playing a game, and that for all x, if x plays a game, then x is a scientist we can infer that for all x, if x plays tennis, then x is a scientist. Finally, from the fact that for all x, if x plays tennis, then x is a scientist, and that there is at least one x for which x is not a scientist we can infer that there is at least one x for which x will not play tennis. Therefore, the answer is yes.