Consider the following premises. For all x_8, if x_8 were a police officer, then x_8 is playing a game. There is at least one x_8 for which if x_8 plays a game, then x_8 is a police officer. For all x_8, if x_8 plays a game, then x_8 is a police officer. Can we infer the following from them? There is at least one x_8 for which if x_8 were a police officer, then x_8 is playing a game.
 From the fact that there is at least one x_8 for which if x_8 plays a game, then x_8 is a police officer, and that for all x_8, if x_8 were a police officer, then x_8 is playing a game we can infer that there is at least one x_8 for which x_8 will play a game if and only if x_8 is a police officer. Finally, from the fact that there is at least one x_8 for which x_8 will play a game if and only if x_8 is a police officer we can infer that there is at least one x_8 for which if x_8 were a police officer, then x_8 is playing a game. Therefore, the answer is yes.