Consider the following premises. If it is windy, then it is raining. If it is windy, then Thomas is a server. If it rains, then it is windy. Thomas is not a server. If Thomas were a server, then it is windy. 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 it is windy, then it is raining, and that if it rains, then it is windy we can infer that it is windy if and only if it is raining via biconditional introduction. From the fact that if it is windy, then Thomas is a server, and that if Thomas were a server, then it is windy we can infer that it is windy if and only if Thomas is a server via biconditional introduction. From the fact that it is windy if and only if Thomas is a server, and that Thomas is not a server we can infer that it is not windy via biconditional elimination. Finally, from the fact that it is windy if and only if it is raining, and that it is not windy we can infer that it is not raining via biconditional elimination. Therefore, the answer is yes.