Consider the following premises. It is raining if and only if Thomas is a politician. It is not overcast. It is raining if and only if Linda is curious. If Linda were curious, then it is raining. If Thomas were a politician, then it is overcast. Can we infer the following from them? If we can, name the inference rule being used: Linda is curious.
 From the fact that if Thomas were a politician, then it is overcast, and that it is not overcast we can infer that Thomas is not a politician via modus tollens. From the fact that it is raining if and only if Thomas is a politician, and that Thomas is not a politician we can infer that it is not raining via biconditional elimination. From the fact that it is raining if and only if Linda is curious we can infer that if it rains, then Linda is curious via biconditional elimination. From the fact that if it rains, then Linda is curious, and that if Linda were curious, then it is raining we can infer that it is raining if and only if Linda is curious via biconditional introduction. Finally, from the fact that it is raining if and only if Linda is curious, and that it is not raining we can infer that Linda is not curious via biconditional elimination, which contradicts that Linda is curious. Therefore, the answer is no.