Consider the following premises. For all x_7, x_7 is a bartender or x_7 will not sleep. For all x_7, x_7 will climb a mountain if and only if x_7 is a bartender. For all x_7, x_7 will sleep or x_7 will climb a mountain. Can we infer the following from them? For all x_7, x_7 is a bartender.
 From the fact that for all x_7, x_7 will climb a mountain if and only if x_7 is a bartender we can infer that for all x_7, if x_7 climbs a mountain, then x_7 is a bartender. From the fact that for all x_7, x_7 is a bartender or x_7 will not sleep we can infer that for all x_7, if x_7 sleeps, then x_7 is a bartender. Finally, from the fact that for all x_7, if x_7 sleeps, then x_7 is a bartender, that for all x_7, if x_7 climbs a mountain, then x_7 is a bartender, and that for all x_7, x_7 will sleep or x_7 will climb a mountain we can infer that for all x_7, x_7 is a bartender. Therefore, the answer is yes.