Consider the following premises. For all x_5, if x_5 were a janitor, then x_5 is a taxi driver. For all x_5, if x_5 were curious, then x_5 is a doctor. For all x_5, x_5 is a janitor. For all x_5, x_5 is curious. Can we infer the following from them? If we can, name the inference rule being used: For all x_5, x_5 is a doctor and x_5 is a taxi driver.
 From the fact that for all x_5, if x_5 were a janitor, then x_5 is a taxi driver, and that for all x_5, x_5 is a janitor we can infer that for all x_5, x_5 is a taxi driver via universal modus ponens. From the fact that for all x_5, if x_5 were curious, then x_5 is a doctor, and that for all x_5, x_5 is curious we can infer that for all x_5, x_5 is a doctor via universal modus ponens. Finally, from the fact that for all x_5, x_5 is a doctor, and that for all x_5, x_5 is a taxi driver we can infer that for all x_5, x_5 is a doctor and x_5 is a taxi driver via universal conjunction. Therefore, the answer is yes.