Consider the following premises. Patricia is rich if and only if Mary is reading a book. Patricia is rich or Joseph is not playing tennis. Mary is reading a book or Joseph is playing tennis. Can we infer the following from them? Patricia is rich.
 From the fact that Patricia is rich if and only if Mary is reading a book we can infer that if Mary reads a book, then Patricia is rich. From the fact that Patricia is rich or Joseph is not playing tennis we can infer that if Joseph plays tennis, then Patricia is rich. Finally, from the fact that if Mary reads a book, then Patricia is rich, that if Joseph plays tennis, then Patricia is rich, and that Mary is reading a book or Joseph is playing tennis we can infer that Patricia is rich. Therefore, the answer is yes.