Consider the following premises. For all x_11, x_11 is a nurse or x_11 is not a poet. For all x_11, if x_11 were a carpenter, then x_11 is working. There is at least one x_11 for which if x_11 works, then x_11 is a nurse. For all x_11, if x_11 were a nurse, then x_11 is a poet. Can we infer the following from them? There is at least one x_11 for which if x_11 were a carpenter, then x_11 is a poet.
 From the fact that for all x_11, if x_11 were a carpenter, then x_11 is working, and that there is at least one x_11 for which if x_11 works, then x_11 is a nurse we can infer that there is at least one x_11 for which if x_11 were a carpenter, then x_11 is a nurse. From the fact that for all x_11, x_11 is a nurse or x_11 is not a poet we can infer that for all x_11, if x_11 were a poet, then x_11 is a nurse. From the fact that for all x_11, if x_11 were a nurse, then x_11 is a poet, and that for all x_11, if x_11 were a poet, then x_11 is a nurse we can infer that for all x_11, x_11 is a nurse if and only if x_11 is a poet. From the fact that for all x_11, x_11 is a nurse if and only if x_11 is a poet we can infer that for all x_11, if x_11 were a nurse, then x_11 is a poet. Finally, from the fact that there is at least one x_11 for which if x_11 were a carpenter, then x_11 is a nurse, and that for all x_11, if x_11 were a nurse, then x_11 is a poet we can infer that there is at least one x_11 for which if x_11 were a carpenter, then x_11 is a poet. Therefore, the answer is yes.