Consider the following premises. Patricia is a taxi driver or Richard is not a poet. Patricia is a taxi driver if and only if Linda is reading a book. Linda is not reading a book. Can we infer the following from them? If we can, name the inference rule being used: Richard is not a poet.
 From the fact that Patricia is a taxi driver if and only if Linda is reading a book, and that Linda is not reading a book we can infer that Patricia is not a taxi driver via biconditional elimination. From the fact that Patricia is a taxi driver or Richard is not a poet we can infer that if Richard were a poet, then Patricia is a taxi driver via rewriting. Finally, from the fact that if Richard were a poet, then Patricia is a taxi driver, and that Patricia is not a taxi driver we can infer that Richard is not a poet via modus tollens. Therefore, the answer is yes.