Consider the following premises. For all x_16, x_16 is a police officer if and only if x_16 is a politician. If Michael were a police officer, then William is poor. William is not poor. Can we infer the following from them? If we can, name the inference rule being used: Michael is not a politician or John is running.
 From the fact that for all x_16, x_16 is a police officer if and only if x_16 is a politician we can infer that Michael is a police officer if and only if Michael is a politician via universal instantiation. From the fact that if Michael were a police officer, then William is poor, and that William is not poor we can infer that Michael is not a police officer via modus tollens. From the fact that Michael is a police officer if and only if Michael is a politician, and that Michael is not a police officer we can infer that Michael is not a politician via biconditional elimination. Finally, from the fact that Michael is not a politician we can infer that Michael is not a politician or John is running via addition. Therefore, the answer is yes.