Consider the following premises. If Sarah were a politician, then it is sunny. Patricia is a bartender. If it is sunny, then Sarah is a politician. If it is sunny, then Patricia is not a bartender. Can we infer the following from them? Sarah is a politician.
 From the fact that if it is sunny, then Sarah is a politician, and that if Sarah were a politician, then it is sunny we can infer that it is sunny if and only if Sarah is a politician. From the fact that if it is sunny, then Patricia is not a bartender, and that Patricia is a bartender we can infer that it is not sunny. Finally, from the fact that it is sunny if and only if Sarah is a politician, and that it is not sunny we can infer that Sarah is not a politician, which contradicts that Sarah is a politician. Therefore, the answer is no.