Consider the following premises. For all x_7, x_7 will sleep. For all x_7, x_7 will sleep if and only if x_7 will climb a mountain. For all x_7, if x_7 climbs a mountain, then x_7 is a poet. Can we infer the following from them? For all x_7, x_7 is a poet.
 From the fact that for all x_7, x_7 will sleep if and only if x_7 will climb a mountain we can infer that for all x_7, if x_7 sleeps, then x_7 is climbing a mountain. From the fact that for all x_7, if x_7 sleeps, then x_7 is climbing a mountain, and that for all x_7, x_7 will sleep we can infer that for all x_7, x_7 will climb a mountain. Finally, from the fact that for all x_7, if x_7 climbs a mountain, then x_7 is a poet, and that for all x_7, x_7 will climb a mountain we can infer that for all x_7, x_7 is a poet. Therefore, the answer is yes.