Consider the following premises. James is reading a book. For all z, z will read a book if and only if z will drive a car. Can we infer the following from them? For all z, z will not drive a car.
 From the fact that for all z, z will read a book if and only if z will drive a car we can infer that for all z, if z reads a book, then z is driving a car. From the fact that James is reading a book we can infer that there is at least one z for which z will read a book. Finally, from the fact that for all z, if z reads a book, then z is driving a car, and that there is at least one z for which z will read a book we can infer that there is at least one z for which z will drive a car, which contradicts that For all z, z will not drive a car. Therefore, the answer is no.