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: For all x_14, x_14 is a server if and only if x_14 will cook. There is at least one x_14 for which x_14 will cook if and only if x_14 is a nurse. For all x_14, if x_14 were a nurse, then x_14 is a server.
For all x_14, if x_14 were a server, then x_14 is cooking can be inferred via the universal biconditional elimination rule. There is at least one x_14 for which if x_14 cooks, then x_14 is a nurse can be inferred via the existential biconditional elimination rule. For all x_14, if x_14 cooks, then x_14 is a server can be inferred via the universal biconditional elimination rule. There is at least one x_14 for which if x_14 were a nurse, then x_14 is cooking can be inferred via the existential biconditional elimination rule.