Consider the following premises. For all x_10, if x_10 listens to a song, then x_10 is playing tennis. For all x_10, if x_10 plays tennis, then x_10 is listening to a song. For all x_10, x_10 will play tennis if and only if x_10 will listen to a song. Can we infer the following from them? If we can, name the inference rule being used: For all x_10, if x_10 listens to a song, then x_10 is playing tennis.
That is one of the premises. Therefore, the answer is yes.