Consider the following premises. For all x_8, if x_8 listens to a song, then x_8 is reading a book. For all x_8, x_8 will play squash if and only if x_8 is bored. For all x_8, if x_8 reads a book, then x_8 is playing squash. For all x_8, x_8 is not bored. Can we infer the following from them? If we can, name the inference rule being used: For all x_8, x_8 will not listen to a song.
 From the fact that for all x_8, x_8 will play squash if and only if x_8 is bored, and that for all x_8, x_8 is not bored we can infer that for all x_8, x_8 will not play squash via universal biconditional elimination. From the fact that for all x_8, if x_8 reads a book, then x_8 is playing squash, and that for all x_8, x_8 will not play squash we can infer that for all x_8, x_8 will not read a book via universal modus tollens. Finally, from the fact that for all x_8, if x_8 listens to a song, then x_8 is reading a book, and that for all x_8, x_8 will not read a book we can infer that for all x_8, x_8 will not listen to a song via universal modus tollens. Therefore, the answer is yes.