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