Consider the following premises. For all y, y will read a book if and only if y will work. For all y, if y works, then y is taking a plane. For all y, y will not take a plane. For all y, if y takes a plane, then y is working. Can we infer the following from them? For all y, y will not read a book.
 From the fact that for all y, if y takes a plane, then y is working, and that for all y, if y works, then y is taking a plane we can infer that for all y, y will take a plane if and only if y will work. From the fact that for all y, y will take a plane if and only if y will work, and that for all y, y will not take a plane we can infer that for all y, y will not work. Finally, from the fact that for all y, y will read a book if and only if y will work, and that for all y, y will not work we can infer that for all y, y will not read a book. Therefore, the answer is yes.