Consider the following premises. There is at least one x_3 for which x_3 is a writer or x_3 will not drive a car. For all x_3, if x_3 plays tennis, then x_3 is driving a car. Can we infer the following from them? For all x_3, if x_3 plays tennis, then x_3 is driving a car.
That is one of the premises. Therefore, the answer is yes.