Consider the following premises. For all y_3, y_3 is an astronaut or y_3 will play squash. There is at least one y_3 for which if y_3 plays squash, then y_3 is driving a car. For all y_3, y_3 will drive a car if and only if y_3 is an astronaut. Can we infer the following from them? For all y_3, y_3 will not drive a car.
 From the fact that for all y_3, y_3 will drive a car if and only if y_3 is an astronaut we can infer that for all y_3, if y_3 were an astronaut, then y_3 is driving a car. Finally, from the fact that for all y_3, if y_3 were an astronaut, then y_3 is driving a car, that there is at least one y_3 for which if y_3 plays squash, then y_3 is driving a car, and that for all y_3, y_3 is an astronaut or y_3 will play squash we can infer that there is at least one y_3 for which y_3 will drive a car, which contradicts that For all y_3, y_3 will not drive a car. Therefore, the answer is no.