Consider the following premises. For all x_1, if x_1 works, then x_1 is driving a car. There is at least one x_1 for which if x_1 makes tea, then x_1 is working. For all x_1, if x_1 drives a car, then x_1 is making tea. Can we infer the following from them? There is at least one x_1 for which x_1 will make tea if and only if x_1 will drive a car.
 From the fact that there is at least one x_1 for which if x_1 makes tea, then x_1 is working, and that for all x_1, if x_1 works, then x_1 is driving a car we can infer that there is at least one x_1 for which if x_1 makes tea, then x_1 is driving a car. Finally, from the fact that there is at least one x_1 for which if x_1 makes tea, then x_1 is driving a car, and that for all x_1, if x_1 drives a car, then x_1 is making tea we can infer that there is at least one x_1 for which x_1 will make tea if and only if x_1 will drive a car. Therefore, the answer is yes.