Consider the following premises. There is at least one z_2 for which z_2 is rich or z_2 is not a soldier. For all z_2, if z_2 were rich, then z_2 is listening to a song. Can we infer the following from them? There is at least one z_2 for which if z_2 were a soldier, then z_2 is listening to a song.
 From the fact that there is at least one z_2 for which z_2 is rich or z_2 is not a soldier we can infer that there is at least one z_2 for which if z_2 were a soldier, then z_2 is rich. Finally, from the fact that there is at least one z_2 for which if z_2 were a soldier, then z_2 is rich, and that for all z_2, if z_2 were rich, then z_2 is listening to a song we can infer that there is at least one z_2 for which if z_2 were a soldier, then z_2 is listening to a song. Therefore, the answer is yes.