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