Consider the following premises. For all y, y is not an office clerk or y is poor. For all y, y is an office clerk or y will play squash. For all y, if y plays squash, then y is a politician. There is at least one y for which y is poor if and only if y is a politician. Can we infer the following from them? There is at least one y for which y is a politician.
 From the fact that for all y, y is an office clerk or y will play squash, and that for all y, y is not an office clerk or y is poor we can infer that for all y, y will play squash or y is poor. From the fact that there is at least one y for which y is poor if and only if y is a politician we can infer that there is at least one y for which if y were poor, then y is a politician. Finally, from the fact that for all y, if y plays squash, then y is a politician, that there is at least one y for which if y were poor, then y is a politician, and that for all y, y will play squash or y is poor we can infer that there is at least one y for which y is a politician. Therefore, the answer is yes.