Consider the following premises. For all y, y is rich if and only if y will play squash. There is at least one y for which y will read a book if and only if y is rich. For all y, y will not play squash. Can we infer the following from them? There is at least one y for which y will not read a book.
 From the fact that for all y, y is rich if and only if y will play squash, and that for all y, y will not play squash we can infer that for all y, y is not rich. Finally, from the fact that there is at least one y for which y will read a book if and only if y is rich, and that for all y, y is not rich we can infer that there is at least one y for which y will not read a book. Therefore, the answer is yes.