Consider the following premises. For all x_9, x_9 will play a game. There is at least one x_9 for which x_9 will listen to a song if and only if x_9 is an astronaut. For all x_9, if x_9 plays a game, then x_9 is an astronaut. Can we infer the following from them? There is at least one x_9 for which x_9 will listen to a song.
 From the fact that there is at least one x_9 for which x_9 will listen to a song if and only if x_9 is an astronaut we can infer that there is at least one x_9 for which if x_9 were an astronaut, then x_9 is listening to a song. From the fact that for all x_9, if x_9 plays a game, then x_9 is an astronaut, and that for all x_9, x_9 will play a game we can infer that for all x_9, x_9 is an astronaut. Finally, from the fact that there is at least one x_9 for which if x_9 were an astronaut, then x_9 is listening to a song, and that for all x_9, x_9 is an astronaut we can infer that there is at least one x_9 for which x_9 will listen to a song. Therefore, the answer is yes.