Consider the following premises. For all y, if y were rich, then y is taking a plane. For all y, if y were a soldier, then y is driving a car. For all y, if y takes a plane, then y is a soldier. There is at least one y for which if y drives a car, then y is a soldier. Can we infer the following from them? There is at least one y for which if y were rich, then y is driving a car.
 From the fact that there is at least one y for which if y drives a car, then y is a soldier, and that for all y, if y were a soldier, then y is driving a car we can infer that there is at least one y for which y will drive a car if and only if y is a soldier. From the fact that there is at least one y for which y will drive a car if and only if y is a soldier we can infer that there is at least one y for which if y were a soldier, then y is driving a car. From the fact that for all y, if y takes a plane, then y is a soldier, and that there is at least one y for which if y were a soldier, then y is driving a car we can infer that there is at least one y for which if y takes a plane, then y is driving a car. Finally, from the fact that for all y, if y were rich, then y is taking a plane, and that there is at least one y for which if y takes a plane, then y is driving a car we can infer that there is at least one y for which if y were rich, then y is driving a car. Therefore, the answer is yes.