Consider the following premises. For all y, if y reads a book, then y is rich. There is at least one y for which y will not climb a mountain. For all y, if y climbs a mountain, then y is reading a book. For all y, y will climb a mountain or y is not rich. Can we infer the following from them? For all y, y is rich.
 From the fact that for all y, if y climbs a mountain, then y is reading a book, and that for all y, if y reads a book, then y is rich we can infer that for all y, if y climbs a mountain, then y is rich. From the fact that for all y, y will climb a mountain or y is not rich we can infer that for all y, if y were rich, then y is climbing a mountain. From the fact that for all y, if y climbs a mountain, then y is rich, and that for all y, if y were rich, then y is climbing a mountain we can infer that for all y, y will climb a mountain if and only if y is rich. Finally, from the fact that for all y, y will climb a mountain if and only if y is rich, and that there is at least one y for which y will not climb a mountain we can infer that there is at least one y for which y is not rich, which contradicts that For all y, y is rich. Therefore, the answer is no.