Consider the following premises. If it is windy, then William is drinking water. Sarah is listening to a song or Barbara is happy. If Sarah listens to a song, then Michael is a politician. If Barbara were happy, then Michael is a politician. William is not drinking water. Can we infer the following from them? If we can, name the inference rule being used: Michael is not a politician.
 From the fact that if it is windy, then William is drinking water, and that William is not drinking water we can infer that it is not windy via modus tollens. Finally, from the fact that if Sarah listens to a song, then Michael is a politician, that if Barbara were happy, then Michael is a politician, and that Sarah is listening to a song or Barbara is happy we can infer that Michael is a politician via disjunction elimination, which contradicts that Michael is not a politician. Therefore, the answer is no.