Consider the following premises. For all x_5, if x_5 drives a car, then x_5 is cooking. For all x_5, if x_5 plays a game, then x_5 is rich. For all x_5, x_5 will play a game or x_5 is a police officer. For all x_5, if x_5 cooks, then x_5 is rich. For all x_5, if x_5 were a police officer, then x_5 is driving a car. Can we infer the following from them? There is at least one x_5 for which x_5 is not rich.
 From the fact that for all x_5, if x_5 were a police officer, then x_5 is driving a car, and that for all x_5, if x_5 drives a car, then x_5 is cooking we can infer that for all x_5, if x_5 were a police officer, then x_5 is cooking. From the fact that for all x_5, if x_5 were a police officer, then x_5 is cooking, and that for all x_5, if x_5 cooks, then x_5 is rich we can infer that for all x_5, if x_5 were a police officer, then x_5 is rich. Finally, from the fact that for all x_5, if x_5 plays a game, then x_5 is rich, that for all x_5, if x_5 were a police officer, then x_5 is rich, and that for all x_5, x_5 will play a game or x_5 is a police officer we can infer that for all x_5, x_5 is rich, which contradicts that There is at least one x_5 for which x_5 is not rich. Therefore, the answer is no.