Consider the following premises. Jessica is listening to a song. If Michael goes running, then Jessica is not listening to a song. If it rains, then Michael is running. Can we infer the following from them? If we can, name the inference rule being used: It is not raining.
 From the fact that if Michael goes running, then Jessica is not listening to a song, and that Jessica is listening to a song we can infer that Michael is not running via modus tollens. Finally, from the fact that if it rains, then Michael is running, and that Michael is not running we can infer that it is not raining via modus tollens. Therefore, the answer is yes.