Consider the following premises. There is at least one x_11 for which x_11 is not a police officer. For all x_11, x_11 is a poet if and only if x_11 will work. For all x_11, if x_11 works, then x_11 is a police officer. Can we infer the following from them? For all x_11, x_11 is a poet.
 From the fact that for all x_11, x_11 is a poet if and only if x_11 will work we can infer that for all x_11, if x_11 were a poet, then x_11 is working. From the fact that for all x_11, if x_11 works, then x_11 is a police officer, and that there is at least one x_11 for which x_11 is not a police officer we can infer that there is at least one x_11 for which x_11 will not work. Finally, from the fact that for all x_11, if x_11 were a poet, then x_11 is working, and that there is at least one x_11 for which x_11 will not work we can infer that there is at least one x_11 for which x_11 is not a poet, which contradicts that For all x_11, x_11 is a poet. Therefore, the answer is no.