Consider the following premises. For all z, if z climbs a mountain, then z is reading a book. It is sunny or it is not cold. If it is sunny, then Charles is climbing a mountain. Can we infer the following from them? If it is cold, then Charles is reading a book.
 From the fact that it is sunny or it is not cold we can infer that if it is cold, then it is sunny. From the fact that for all z, if z climbs a mountain, then z is reading a book we can infer that if Charles climbs a mountain, then Charles is reading a book. From the fact that if it is sunny, then Charles is climbing a mountain, and that if Charles climbs a mountain, then Charles is reading a book we can infer that if it is sunny, then Charles is reading a book. Finally, from the fact that if it is cold, then it is sunny, and that if it is sunny, then Charles is reading a book we can infer that if it is cold, then Charles is reading a book. Therefore, the answer is yes.