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_3, if x_3 were a nurse, then x_3 is rich. For all x_3, x_3 will play tennis. There is at least one x_3 for which if x_3 were an electrician, then x_3 is rich. For all x_3, if x_3 plays tennis, then x_3 is a nurse.
For all x_3, x_3 is a nurse can be inferred via the universal modus ponens rule. For all x_3, if x_3 plays tennis, then x_3 is rich can be inferred via the universal transitivity rule.