Consider the following premises. If Thomas were a soldier, then Karen is a police officer. Michael is taking a plane if and only if Thomas is a soldier. If it is sunny, then Michael is taking a plane. Karen is not a police officer. Can we infer the following from them? If we can, name the inference rule being used: It is sunny.
 From the fact that if Thomas were a soldier, then Karen is a police officer, and that Karen is not a police officer we can infer that Thomas is not a soldier via modus tollens. From the fact that Michael is taking a plane if and only if Thomas is a soldier, and that Thomas is not a soldier we can infer that Michael is not taking a plane via biconditional elimination. Finally, from the fact that if it is sunny, then Michael is taking a plane, and that Michael is not taking a plane we can infer that it is not sunny via modus tollens, which contradicts that It is sunny. Therefore, the answer is no.