Consider the following premises. It is not cold. It is cold if and only if Elisabeth is a musician. If it is cold, then Elisabeth is a musician. Sarah is listening to a song. Can we infer the following from them? If we can, name the inference rule being used: Elisabeth is not a musician and Sarah is listening to a song.
 From the fact that it is cold if and only if Elisabeth is a musician we can infer that if Elisabeth were a musician, then it is cold via biconditional elimination. From the fact that if it is cold, then Elisabeth is a musician, and that if Elisabeth were a musician, then it is cold we can infer that it is cold if and only if Elisabeth is a musician via biconditional introduction. From the fact that it is cold if and only if Elisabeth is a musician, and that it is not cold we can infer that Elisabeth is not a musician via biconditional elimination. Finally, from the fact that Elisabeth is not a musician, and that Sarah is listening to a song we can infer that Elisabeth is not a musician and Sarah is listening to a song via conjunction. Therefore, the answer is yes.