Consider the following premises. For all x_7, x_7 will drive a car if and only if x_7 is poor. For all x_7, x_7 is poor if and only if x_7 will drive a car. Can we infer the following from them? There is at least one x_7 for which if is not true that x_7 will drive a car if and only if x_7 is poor.
 From the fact that for all x_7, x_7 is poor if and only if x_7 will drive a car we can infer that for all x_7, if x_7 were poor, then x_7 is driving a car. From the fact that for all x_7, x_7 will drive a car if and only if x_7 is poor we can infer that for all x_7, if x_7 drives a car, then x_7 is poor. Finally, from the fact that for all x_7, if x_7 drives a car, then x_7 is poor, and that for all x_7, if x_7 were poor, then x_7 is driving a car we can infer that for all x_7, x_7 will drive a car if and only if x_7 is poor, which contradicts that There is at least one x_7 for which if is not true that x_7 will drive a car if and only if x_7 is poor. Therefore, the answer is no.