Consider the following premises. There is at least one x_6 for which x_6 will play a game and x_6 will drink water. For all x_6, if x_6 plays a game, then x_6 is a police officer. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_6 for which x_6 is a police officer.
 From the fact that there is at least one x_6 for which x_6 will play a game and x_6 will drink water we can infer that there is at least one x_6 for which x_6 will play a game via existential simplification. Finally, from the fact that for all x_6, if x_6 plays a game, then x_6 is a police officer, and that there is at least one x_6 for which x_6 will play a game we can infer that there is at least one x_6 for which x_6 is a police officer via existential modus ponens. Therefore, the answer is yes.