Consider the following premises. For all y, y will not read a book. If Patricia were an electrician, then James is playing tennis. James is playing tennis if and only if William is reading a book. Can we infer the following from them? Patricia is not an electrician.
 From the fact that for all y, y will not read a book we can infer that William is not reading a book. From the fact that James is playing tennis if and only if William is reading a book, and that William is not reading a book we can infer that James is not playing tennis. Finally, from the fact that if Patricia were an electrician, then James is playing tennis, and that James is not playing tennis we can infer that Patricia is not an electrician. Therefore, the answer is yes.