Consider the following premises. Sarah is a writer. Richard is reading a book. If Jessica plays tennis, then Richard is not reading a book. If Thomas cooks, then Sarah is not a writer. Can we infer the following from them? If we can, name the inference rule being used: Jessica is not playing tennis and Thomas is not cooking.
 From the fact that if Jessica plays tennis, then Richard is not reading a book, and that Richard is reading a book we can infer that Jessica is not playing tennis via modus tollens. From the fact that if Thomas cooks, then Sarah is not a writer, and that Sarah is a writer we can infer that Thomas is not cooking via modus tollens. Finally, from the fact that Jessica is not playing tennis, and that Thomas is not cooking we can infer that Jessica is not playing tennis and Thomas is not cooking via conjunction. Therefore, the answer is yes.