Consider the following premises. It is sunny if and only if it is windy. It is not windy. For all x_14, x_14 will not listen to a song. Barbara is listening to a song if and only if Mary is reading a book. Can we infer the following from them? If we can, name the inference rule being used: It is not sunny and Mary is not reading a book.
 From the fact that it is sunny if and only if it is windy, and that it is not windy we can infer that it is not sunny via biconditional elimination. From the fact that for all x_14, x_14 will not listen to a song we can infer that Barbara is not listening to a song via universal instantiation. From the fact that Barbara is listening to a song if and only if Mary is reading a book, and that Barbara is not listening to a song we can infer that Mary is not reading a book via biconditional elimination. Finally, from the fact that it is not sunny, and that Mary is not reading a book we can infer that it is not sunny and Mary is not reading a book via conjunction. Therefore, the answer is yes.