Consider the following premises. For all x_5, x_5 is poor. For all x_5, if x_5 were poor, then x_5 is climbing a mountain. For all x_5, if x_5 climbs a mountain, then x_5 is playing squash. For all x_5, if x_5 plays squash, then x_5 is a soldier. Can we infer the following from them? For all x_5, if x_5 were poor, then x_5 is climbing a mountain.
That is one of the premises. Therefore, the answer is yes.