Consider the following premises. It is raining or it is not windy. If it is sunny, then it is raining. It is not windy. It is windy if and only if it is raining. Can we infer the following from them? If we can, name the inference rule being used: It is not sunny.
 From the fact that it is raining or it is not windy we can infer that if it is windy, then it is raining via rewriting. From the fact that it is windy if and only if it is raining we can infer that if it rains, then it is windy via biconditional elimination. 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 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. Finally, from the fact that if it is sunny, then it is raining, and that it is not raining we can infer that it is not sunny via modus tollens. Therefore, the answer is yes.