Consider the following premises. For all x_5, x_5 will play squash. For all x_5, x_5 is a bartender. For all x_5, x_5 will listen to a song. Can we infer the following from them? If we can, name the inference rule being used: For all x_5, x_5 will play squash and x_5 is a bartender.
 From the fact that for all x_5, x_5 will play squash, and that for all x_5, x_5 will listen to a song we can infer that for all x_5, x_5 will play squash and x_5 will listen to a song via universal conjunction. From the fact that for all x_5, x_5 will play squash and x_5 will listen to a song we can infer that for all x_5, x_5 will play squash via universal simplification. Finally, from the fact that for all x_5, x_5 will play squash, and that for all x_5, x_5 is a bartender we can infer that for all x_5, x_5 will play squash and x_5 is a bartender via universal conjunction. Therefore, the answer is yes.