Consider the following premises. If James plays tennis, then James is a nurse. It is late. James is a nurse if and only if James is playing tennis. If James plays tennis, then it is not late. Can we infer the following from them? If we can, name the inference rule being used: James is a nurse.
 From the fact that if James plays tennis, then it is not late, and that it is late we can infer that James is not playing tennis via modus tollens. From the fact that James is a nurse if and only if James is playing tennis we can infer that if James were a nurse, then James is playing tennis via biconditional elimination. From the fact that if James were a nurse, then James is playing tennis, and that if James plays tennis, then James is a nurse we can infer that James is a nurse if and only if James is playing tennis via biconditional introduction. Finally, from the fact that James is a nurse if and only if James is playing tennis, and that James is not playing tennis we can infer that James is not a nurse via biconditional elimination, which contradicts that James is a nurse. Therefore, the answer is no.