Consider the following premises. If Richard were a nurse, then William is not an astronaut. Elisabeth is driving a car if and only if Linda is drinking water. If Elisabeth drives a car, then Richard is a nurse. William is an astronaut. Can we infer the following from them? If we can, name the inference rule being used: Linda is drinking water.
 From the fact that if Richard were a nurse, then William is not an astronaut, and that William is an astronaut we can infer that Richard is not a nurse via modus tollens. From the fact that if Elisabeth drives a car, then Richard is a nurse, and that Richard is not a nurse we can infer that Elisabeth is not driving a car via modus tollens. Finally, from the fact that Elisabeth is driving a car if and only if Linda is drinking water, and that Elisabeth is not driving a car we can infer that Linda is not drinking water via biconditional elimination, which contradicts that Linda is drinking water. Therefore, the answer is no.