Consider the following premises. If Patricia listens to a song, then it is late. It is not late. Patricia is taking a plane if and only if Patricia is listening to a song. If Joseph were a police officer, then Patricia is taking a plane. Can we infer the following from them? If we can, name the inference rule being used: Joseph is not a police officer.
 From the fact that if Patricia listens to a song, then it is late, and that it is not late we can infer that Patricia is not listening to a song via modus tollens. From the fact that Patricia is taking a plane if and only if Patricia is listening to a song, and that Patricia is not listening to a song we can infer that Patricia is not taking a plane via biconditional elimination. Finally, from the fact that if Joseph were a police officer, then Patricia is taking a plane, and that Patricia is not taking a plane we can infer that Joseph is not a police officer via modus tollens. Therefore, the answer is yes.