Consider the following premises. For all x_5, if x_5 were an artist, then x_5 is a police officer. For all x_9, x_9 is an artist and x_9 will drive a car. Can we infer the following from them? If we can, name the inference rule being used: Michael is a police officer.
 From the fact that for all x_9, x_9 is an artist and x_9 will drive a car we can infer that for all x_9, x_9 is an artist via universal simplification. From the fact that for all x_9, x_9 is an artist we can infer that Michael is an artist via universal instantiation. From the fact that for all x_5, if x_5 were an artist, then x_5 is a police officer we can infer that if Michael were an artist, then Michael is a police officer via universal instantiation. Finally, from the fact that if Michael were an artist, then Michael is a police officer, and that Michael is an artist we can infer that Michael is a police officer via modus ponens. Therefore, the answer is yes.