What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: Sarah is a doctor if and only if James is playing tennis. James is not rich. For all y_4, y_4 will go running if and only if y_4 is a doctor. For all x_14, x_14 is rich if and only if x_14 will play tennis.
If Sarah were a doctor, then James is playing tennis can be inferred via the biconditional elimination rule. If James plays tennis, then Sarah is a doctor can be inferred via the biconditional elimination rule. For all y_4, if y_4 goes running, then y_4 is a doctor can be inferred via the universal biconditional elimination rule. For all x_14, if x_14 were rich, then x_14 is playing tennis can be inferred via the universal biconditional elimination rule. For all y_4, if y_4 were a doctor, then y_4 is running can be inferred via the universal biconditional elimination rule. For all x_14, if x_14 plays tennis, then x_14 is rich can be inferred via the universal biconditional elimination rule.