Consider the following premises. Jessica is not writing a letter. Karen is listening to a song if and only if it is cold. It is cold if and only if Jessica is writing a letter. Can we infer the following from them? If we can, name the inference rule being used: Karen is not listening to a song.
 From the fact that it is cold if and only if Jessica is writing a letter, and that Jessica is not writing a letter we can infer that it is not cold via biconditional elimination. Finally, from the fact that Karen is listening to a song if and only if it is cold, and that it is not cold we can infer that Karen is not listening to a song via biconditional elimination. Therefore, the answer is yes.