Consider the following premises. William is a doctor if and only if Linda is driving a car. For all x_9, x_9 is not a politician. For all x_9, x_9 will drive a car if and only if x_9 is a politician. Can we infer the following from them? For all x_9, x_9 is not a politician.
That is one of the premises. Therefore, the answer is yes.