Consider the following premises. For all x_10, if x_10 were a nurse, then x_10 is an astronaut. For all x_10, if x_10 were a poet, then x_10 is a nurse. There is at least one x_10 for which if x_10 were an astronaut, then x_10 is a nurse. For all x_10, x_10 is not an astronaut. Can we infer the following from them? For all x_10, x_10 is a poet.
 From the fact that for all x_10, if x_10 were a nurse, then x_10 is an astronaut, and that there is at least one x_10 for which if x_10 were an astronaut, then x_10 is a nurse we can infer that there is at least one x_10 for which x_10 is a nurse if and only if x_10 is an astronaut. From the fact that there is at least one x_10 for which x_10 is a nurse if and only if x_10 is an astronaut, and that for all x_10, x_10 is not an astronaut we can infer that there is at least one x_10 for which x_10 is not a nurse. Finally, from the fact that for all x_10, if x_10 were a poet, then x_10 is a nurse, and that there is at least one x_10 for which x_10 is not a nurse we can infer that there is at least one x_10 for which x_10 is not a poet, which contradicts that For all x_10, x_10 is a poet. Therefore, the answer is no.