Consider the following premises. For all x_9, x_9 will cook if and only if x_9 will drink water. For all x_9, x_9 will cook. There is at least one x_9 for which if x_9 were rich, then x_9 is not drinking water. For all x_9, if x_9 drives a car, then x_9 is drinking water. Can we infer the following from them? If we can, name the inference rule being used: For all x_9, if x_9 drives a car, then x_9 is drinking water.
That is one of the premises. Therefore, the answer is yes.