Consider the following premises. It is snowing or it is not windy. If Michael were a politician, then it is windy. It is snowing if and only if Michael is a politician. Can we infer the following from them? If we can, name the inference rule being used: If is not true that it is snowing if and only if it is windy.
 From the fact that it is snowing or it is not windy we can infer that if it is windy, then it is snowing via rewriting. From the fact that it is snowing if and only if Michael is a politician we can infer that if it snows, then Michael is a politician via biconditional elimination. From the fact that if it snows, then Michael is a politician, and that if Michael were a politician, then it is windy we can infer that if it snows, then it is windy via transitivity. Finally, from the fact that if it snows, then it is windy, and that if it is windy, then it is snowing we can infer that it is snowing if and only if it is windy via biconditional introduction, which contradicts that If is not true that it is snowing if and only if it is windy. Therefore, the answer is no.