Consider the following premises. If Sarah were not a taxi driver, then Jennifer is an astronaut. If Sarah were a taxi driver, then Thomas is making tea. For all x_17, x_17 will not cook. For all x_17, x_17 will cook if and only if x_17 will make tea. Can we infer the following from them? If we can, name the inference rule being used: Jennifer is an astronaut.
 From the fact that for all x_17, x_17 will cook if and only if x_17 will make tea, and that for all x_17, x_17 will not cook we can infer that for all x_17, x_17 will not make tea via universal biconditional elimination. From the fact that for all x_17, x_17 will not make tea we can infer that Thomas is not making tea via universal instantiation. From the fact that if Sarah were a taxi driver, then Thomas is making tea, and that Thomas is not making tea we can infer that Sarah is not a taxi driver via modus tollens. Finally, from the fact that if Sarah were not a taxi driver, then Jennifer is an astronaut, and that Sarah is not a taxi driver we can infer that Jennifer is an astronaut via modus ponens. Therefore, the answer is yes.