Consider the following premises. If Michael climbs a mountain, then Linda is playing squash. If it is sunny, then Linda is not playing squash. If Jessica were a doctor, then Linda is playing squash. Michael is climbing a mountain or Jessica is a doctor. Can we infer the following from them? If we can, name the inference rule being used: It is sunny.
 From the fact that if Michael climbs a mountain, then Linda is playing squash, that if Jessica were a doctor, then Linda is playing squash, and that Michael is climbing a mountain or Jessica is a doctor we can infer that Linda is playing squash via disjunction elimination. Finally, from the fact that if it is sunny, then Linda is not playing squash, and that Linda is playing squash we can infer that it is not sunny via modus tollens, which contradicts that It is sunny. Therefore, the answer is no.