Consider the following premises. If James were a doctor, then it is sunny. James is not a doctor. Michael is taking a plane. If it is sunny, then James is a doctor. Can we infer the following from them? If we can, name the inference rule being used: It is not sunny and Michael is taking a plane.
 From the fact that if it is sunny, then James is a doctor, and that if James were a doctor, then it is sunny we can infer that it is sunny if and only if James is a doctor via biconditional introduction. From the fact that it is sunny if and only if James is a doctor, and that James is not a doctor we can infer that it is not sunny via biconditional elimination. Finally, from the fact that it is not sunny, and that Michael is taking a plane we can infer that it is not sunny and Michael is taking a plane via conjunction. Therefore, the answer is yes.