Consider the following premises. Karen is listening to a song or Karen is not a poet. Karen is a poet. David is writing a letter. Can we infer the following from them? If we can, name the inference rule being used: Karen is listening to a song and David is writing a letter.
 From the fact that Karen is listening to a song or Karen is not a poet we can infer that if Karen were a poet, then Karen is listening to a song via rewriting. From the fact that if Karen were a poet, then Karen is listening to a song, and that Karen is a poet we can infer that Karen is listening to a song via modus ponens. Finally, from the fact that Karen is listening to a song, and that David is writing a letter we can infer that Karen is listening to a song and David is writing a letter via conjunction. Therefore, the answer is yes.