Consider the following premises. If it is windy, then James is climbing a mountain. For all y_3, y_3 will climb a mountain if and only if y_3 is a soldier. James is not a soldier. For all y_3, if y_3 were a soldier, then y_3 is climbing a mountain. Can we infer the following from them? It is windy.
 From the fact that for all y_3, y_3 will climb a mountain if and only if y_3 is a soldier we can infer that for all y_3, if y_3 climbs a mountain, then y_3 is a soldier. From the fact that for all y_3, if y_3 were a soldier, then y_3 is climbing a mountain, and that for all y_3, if y_3 climbs a mountain, then y_3 is a soldier we can infer that for all y_3, y_3 is a soldier if and only if y_3 will climb a mountain. From the fact that for all y_3, y_3 is a soldier if and only if y_3 will climb a mountain we can infer that James is a soldier if and only if James is climbing a mountain. From the fact that James is a soldier if and only if James is climbing a mountain, and that James is not a soldier we can infer that James is not climbing a mountain. Finally, from the fact that if it is windy, then James is climbing a mountain, and that James is not climbing a mountain we can infer that it is not windy, which contradicts that It is windy. Therefore, the answer is no.