Consider the following premises. For all y, y is a soldier. If Linda were a soldier, then Jessica is driving a car. Can we infer the following from them? Jessica is driving a car.
 From the fact that for all y, y is a soldier we can infer that Linda is a soldier. Finally, from the fact that if Linda were a soldier, then Jessica is driving a car, and that Linda is a soldier we can infer that Jessica is driving a car. Therefore, the answer is yes.