Consider the following premises. For all x_13, x_13 is a carpenter if and only if x_13 is a poet. For all x_13, x_13 is a soldier if and only if x_13 is a carpenter. For all x_13, x_13 is not a nurse. There is at least one x_13 for which x_13 is a nurse if and only if x_13 is a soldier. Can we infer the following from them? For all x_13, x_13 is a poet.
 From the fact that there is at least one x_13 for which x_13 is a nurse if and only if x_13 is a soldier, and that for all x_13, x_13 is not a nurse we can infer that there is at least one x_13 for which x_13 is not a soldier. From the fact that for all x_13, x_13 is a soldier if and only if x_13 is a carpenter, and that there is at least one x_13 for which x_13 is not a soldier we can infer that there is at least one x_13 for which x_13 is not a carpenter. Finally, from the fact that for all x_13, x_13 is a carpenter if and only if x_13 is a poet, and that there is at least one x_13 for which x_13 is not a carpenter we can infer that there is at least one x_13 for which x_13 is not a poet, which contradicts that For all x_13, x_13 is a poet. Therefore, the answer is no.