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