Consider the following premises. Thomas is a poet or Karen is not a cashier. Karen is a cashier or Thomas is not a poet. Can we infer the following from them? If we can, name the inference rule being used: If Karen were a cashier, then Thomas is a poet.
 From the fact that Karen is a cashier or Thomas is not a poet we can infer that if Thomas were a poet, then Karen is a cashier via rewriting. Finally, from the fact that Thomas is a poet or Karen is not a cashier we can infer that if Karen were a cashier, then Thomas is a poet via rewriting. Therefore, the answer is yes.