Consider the following premises. John is reading a book if and only if James is working. For all x_10, if x_10 reads a book, then x_10 is listening to a song. Can we infer the following from them? If we can, name the inference rule being used: If James works, then John is listening to a song.
 From the fact that for all x_10, if x_10 reads a book, then x_10 is listening to a song we can infer that if John reads a book, then John is listening to a song via universal instantiation. From the fact that John is reading a book if and only if James is working we can infer that if James works, then John is reading a book via biconditional elimination. Finally, from the fact that if James works, then John is reading a book, and that if John reads a book, then John is listening to a song we can infer that if James works, then John is listening to a song via transitivity. Therefore, the answer is yes.