Consider the following premises. James is reading a book if and only if it is overcast. If Linda were rich, then James is reading a book. It is overcast. Can we infer the following from them? James is reading a book.
 From the fact that James is reading a book if and only if it is overcast we can infer that if it is overcast, then James is reading a book. From the fact that it is overcast we can infer that it is overcast or Linda is rich. Finally, from the fact that if it is overcast, then James is reading a book, that if Linda were rich, then James is reading a book, and that it is overcast or Linda is rich we can infer that James is reading a book. Therefore, the answer is yes.