Consider the following premises. For all x_7, x_7 will play tennis if and only if x_7 will drive a car. If Karen drives a car, then Karen is playing tennis. Can we infer the following from them? Karen is driving a car if and only if Karen is playing tennis.
 From the fact that for all x_7, x_7 will play tennis if and only if x_7 will drive a car we can infer that Karen is playing tennis if and only if Karen is driving a car. From the fact that Karen is playing tennis if and only if Karen is driving a car we can infer that if Karen plays tennis, then Karen is driving a car. Finally, from the fact that if Karen drives a car, then Karen is playing tennis, and that if Karen plays tennis, then Karen is driving a car we can infer that Karen is driving a car if and only if Karen is playing tennis. Therefore, the answer is yes.