Consider the following premises. For all x_7, x_7 will go running if and only if x_7 will drive a car. For all x_7, x_7 will drive a car if and only if x_7 will go running. 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 will go running.
 From the fact that for all x_7, x_7 will drive a car if and only if x_7 will go running we can infer that for all x_7, if x_7 drives a car, then x_7 is running. From the fact that for all x_7, x_7 will go running if and only if x_7 will drive a car we can infer that for all x_7, if x_7 goes running, then x_7 is driving a car. Finally, from the fact that for all x_7, if x_7 drives a car, then x_7 is running, and that for all x_7, if x_7 goes running, 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 will go running, 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 will go running. Therefore, the answer is no.