Consider the following premises. For all y, if y were a poet, then y is not drinking water. For all y, if y climbs a mountain, then y is a poet. For all y, y will drink water. Can we infer the following from them? If we can, name the inference rule being used: There is at least one y for which y will climb a mountain.
 From the fact that for all y, if y were a poet, then y is not drinking water, and that for all y, y will drink water we can infer that for all y, y is not a poet via universal modus tollens. Finally, from the fact that for all y, if y climbs a mountain, then y is a poet, and that for all y, y is not a poet we can infer that for all y, y will not climb a mountain via universal modus tollens, which contradicts that There is at least one y for which y will climb a mountain. Therefore, the answer is no.