Consider the following premises. For all x_4, x_4 is a politician or x_4 will drive a car. For all x_4, x_4 is not a writer. There is at least one x_4 for which x_4 is not a politician or x_4 is a cashier. For all x_4, if x_4 drives a car, then x_4 is a writer. Can we infer the following from them? There is at least one x_4 for which x_4 is a cashier.
 From the fact that for all x_4, if x_4 drives a car, then x_4 is a writer, and that for all x_4, x_4 is not a writer we can infer that for all x_4, x_4 will not drive a car. From the fact that for all x_4, x_4 is a politician or x_4 will drive a car, and that there is at least one x_4 for which x_4 is not a politician or x_4 is a cashier we can infer that there is at least one x_4 for which x_4 will drive a car or x_4 is a cashier. Finally, from the fact that there is at least one x_4 for which x_4 will drive a car or x_4 is a cashier, and that for all x_4, x_4 will not drive a car we can infer that there is at least one x_4 for which x_4 is a cashier. Therefore, the answer is yes.