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 y_3, y_3 will climb a mountain if and only if y_3 will drive a car. For all y_3, y_3 will drive a car or y_3 will not go running. There is at least one y_3 for which if y_3 climbs a mountain, then y_3 is running.
For all y_3, if y_3 goes running, then y_3 is driving a car can be inferred via the universal rewriting rule. For all y_3, if y_3 climbs a mountain, then y_3 is driving a car can be inferred via the universal biconditional elimination rule. For all y_3, if y_3 drives a car, then y_3 is climbing a mountain can be inferred via the universal biconditional elimination rule.