Consider the following premises. If Jennifer plays tennis, then Charles is not a poet. If William listens to a song, then Jennifer is playing tennis. Charles is a poet. William is listening to a song or Jennifer is not playing tennis. Can we infer the following from them? If we can, name the inference rule being used: William is not listening to a song.
 From the fact that William is listening to a song or Jennifer is not playing tennis we can infer that if Jennifer plays tennis, then William is listening to a song via rewriting. From the fact that if Jennifer plays tennis, then Charles is not a poet, and that Charles is a poet we can infer that Jennifer is not playing tennis via modus tollens. From the fact that if William listens to a song, then Jennifer is playing tennis, and that if Jennifer plays tennis, then William is listening to a song we can infer that William is listening to a song if and only if Jennifer is playing tennis via biconditional introduction. Finally, from the fact that William is listening to a song if and only if Jennifer is playing tennis, and that Jennifer is not playing tennis we can infer that William is not listening to a song via biconditional elimination. Therefore, the answer is yes.