Consider the following premises. It is cold if and only if Richard is reading a book. If it is sunny, then Barbara is listening to a song. It is not cold. If Barbara listens to a song, then Richard is reading a book. Can we infer the following from them? It is not sunny.
 From the fact that it is cold if and only if Richard is reading a book, and that it is not cold we can infer that Richard is not reading a book. From the fact that if it is sunny, then Barbara is listening to a song, and that if Barbara listens to a song, then Richard is reading a book we can infer that if it is sunny, then Richard is reading a book. Finally, from the fact that if it is sunny, then Richard is reading a book, and that Richard is not reading a book we can infer that it is not sunny. Therefore, the answer is yes.