Consider the following premises. It is not sunny. It is windy if and only if it is cold. If it is windy, then it is sunny. If it is sunny, then it is windy. Can we infer the following from them? If we can, name the inference rule being used: It is cold.
 From the fact that if it is windy, then it is sunny, and that if it is sunny, then it is windy we can infer that it is windy if and only if it is sunny via biconditional introduction. From the fact that it is windy if and only if it is sunny, and that it is not sunny 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 cold, and that it is not windy we can infer that it is not cold via biconditional elimination, which contradicts that It is cold. Therefore, the answer is no.