Consider the following premises. There is at least one y for which if y were fast, then y is a poet. For all y, if y plays tennis, then y is fast. For all y, y is not fast. For all y, if y were a poet, then y is playing tennis. Can we infer the following from them? For all y, y will play tennis.
 From the fact that there is at least one y for which if y were fast, then y is a poet, and that for all y, if y were a poet, then y is playing tennis we can infer that there is at least one y for which if y were fast, then y is playing tennis. From the fact that for all y, if y plays tennis, then y is fast, and that there is at least one y for which if y were fast, then y is playing tennis we can infer that there is at least one y for which y will play tennis if and only if y is fast. Finally, from the fact that there is at least one y for which y will play tennis if and only if y is fast, and that for all y, y is not fast we can infer that there is at least one y for which y will not play tennis, which contradicts that For all y, y will play tennis. Therefore, the answer is no.