Consider the following premises. For all x_5, x_5 will cook. For all x_5, x_5 is a mechanic. There is at least one x_5 for which x_5 will play tennis. Can we infer the following from them? There is at least one x_5 for which x_5 will cook and x_5 will play tennis.
 From the fact that for all x_5, x_5 will cook, and that for all x_5, x_5 is a mechanic we can infer that for all x_5, x_5 will cook and x_5 is a mechanic. From the fact that for all x_5, x_5 will cook and x_5 is a mechanic we can infer that for all x_5, x_5 will cook. Finally, from the fact that for all x_5, x_5 will cook, and that there is at least one x_5 for which x_5 will play tennis we can infer that there is at least one x_5 for which x_5 will cook and x_5 will play tennis. Therefore, the answer is yes.