Consider the following premises. For all x_6, if x_6 were a server, then x_6 is driving a car. For all x_6, x_6 is a server. There is at least one x_6 for which x_6 will drive a car or x_6 will not play tennis. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_6 for which x_6 will drive a car.
 From the fact that for all x_6, x_6 is a server we can infer that for all x_6, x_6 is a server or x_6 will play tennis via universal addition. From the fact that there is at least one x_6 for which x_6 will drive a car or x_6 will not play tennis we can infer that there is at least one x_6 for which if x_6 plays tennis, then x_6 is driving a car via existential rewriting. Finally, from the fact that for all x_6, if x_6 were a server, then x_6 is driving a car, that there is at least one x_6 for which if x_6 plays tennis, then x_6 is driving a car, and that for all x_6, x_6 is a server or x_6 will play tennis we can infer that there is at least one x_6 for which x_6 will drive a car via existential disjunction elimination. Therefore, the answer is yes.