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