Consider the following premises. For all x_3, if x_3 makes tea, then x_3 is playing tennis. For all x_3, x_3 is a mechanic if and only if x_3 will play tennis. There is at least one x_3 for which x_3 is a mechanic or x_3 will make tea. Can we infer the following from them? There is at least one x_3 for which x_3 will play tennis.
 From the fact that for all x_3, x_3 is a mechanic if and only if x_3 will play tennis we can infer that for all x_3, if x_3 were a mechanic, then x_3 is playing tennis. Finally, from the fact that for all x_3, if x_3 were a mechanic, then x_3 is playing tennis, that for all x_3, if x_3 makes tea, then x_3 is playing tennis, and that there is at least one x_3 for which x_3 is a mechanic or x_3 will make tea we can infer that there is at least one x_3 for which x_3 will play tennis. Therefore, the answer is yes.