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_16, if x_16 makes tea, then x_16 is working. There is at least one x_16 for which x_16 will cook if and only if x_16 is a nurse. For all x_16, if x_16 cooks, then x_16 is making tea. For all x_16, if x_16 works, then x_16 is a nurse.
For all x_16, if x_16 makes tea, then x_16 is a nurse can be inferred via the universal transitivity rule. For all x_16, if x_16 cooks, then x_16 is working can be inferred via the universal transitivity rule. There is at least one x_16 for which if x_16 cooks, then x_16 is a nurse can be inferred via the existential biconditional elimination rule. There is at least one x_16 for which if x_16 were a nurse, then x_16 is cooking can be inferred via the existential biconditional elimination rule.