Consider the following premises. For all x_5, if x_5 listens to a song, then x_5 is driving a car. For all x_5, x_5 is a police officer. For all x_5, if x_5 drinks water, then x_5 is driving a car. For all x_5, x_5 will drink water. Can we infer the following from them? If we can, name the inference rule being used: For all x_5, x_5 is a police officer and x_5 will drive a car.
 From the fact that for all x_5, x_5 will drink water we can infer that for all x_5, x_5 will drink water or x_5 will listen to a song via universal addition. From the fact that for all x_5, if x_5 drinks water, then x_5 is driving a car, that for all x_5, if x_5 listens to a song, then x_5 is driving a car, and that for all x_5, x_5 will drink water or x_5 will listen to a song we can infer that for all x_5, x_5 will drive a car via universal disjunction elimination. Finally, from the fact that for all x_5, x_5 is a police officer, and that for all x_5, x_5 will drive a car we can infer that for all x_5, x_5 is a police officer and x_5 will drive a car via universal conjunction. Therefore, the answer is yes.