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_10, x_10 is a nurse. For all x_10, x_10 is happy. For all x_10, x_10 will play tennis and x_10 is rich.
For all x_10, x_10 will play tennis can be inferred via the universal simplification rule. For all x_10, x_10 is rich can be inferred via the universal simplification rule. For all x_10, x_10 is a nurse and x_10 is happy can be inferred via the universal conjunction rule. For all x_10, x_10 is happy and x_10 is a nurse can be inferred via the universal conjunction rule.