Consider the following premises. For all x_9, if x_9 were a musician, then x_9 is a soldier. For all x_9, if x_9 were a soldier, then x_9 is a musician. For all x_9, if x_9 were a musician, then x_9 is an artist. There is at least one x_9 for which if x_9 were an artist, then x_9 is a soldier. Can we infer the following from them? There is at least one x_9 for which x_9 is a soldier if and only if x_9 is an artist.
 From the fact that for all x_9, if x_9 were a soldier, then x_9 is a musician, and that for all x_9, if x_9 were a musician, then x_9 is a soldier we can infer that for all x_9, x_9 is a soldier if and only if x_9 is a musician. From the fact that for all x_9, x_9 is a soldier if and only if x_9 is a musician we can infer that for all x_9, if x_9 were a soldier, then x_9 is a musician. From the fact that for all x_9, if x_9 were a soldier, then x_9 is a musician, and that for all x_9, if x_9 were a musician, then x_9 is an artist we can infer that for all x_9, if x_9 were a soldier, then x_9 is an artist. Finally, from the fact that for all x_9, if x_9 were a soldier, then x_9 is an artist, and that there is at least one x_9 for which if x_9 were an artist, then x_9 is a soldier we can infer that there is at least one x_9 for which x_9 is a soldier if and only if x_9 is an artist. Therefore, the answer is yes.