Consider the following premises. For all y, y will go running. There is at least one y for which if y were a poet, then y is a lawyer. For all y, if y were a lawyer, then y is running. For all y, if y goes running, then y is a lawyer. Can we infer the following from them? There is at least one y for which y is a lawyer.
 From the fact that for all y, if y goes running, then y is a lawyer, and that for all y, if y were a lawyer, then y is running we can infer that for all y, y will go running if and only if y is a lawyer. From the fact that for all y, y will go running if and only if y is a lawyer we can infer that for all y, if y goes running, then y is a lawyer. From the fact that for all y, y will go running we can infer that for all y, y will go running or y is a poet. Finally, from the fact that for all y, if y goes running, then y is a lawyer, that there is at least one y for which if y were a poet, then y is a lawyer, and that for all y, y will go running or y is a poet we can infer that there is at least one y for which y is a lawyer. Therefore, the answer is yes.