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_1, if y_1 drives a car, then y_1 is working. For all y_1, y_1 will work if and only if y_1 will listen to a song. For all y_1, y_1 will listen to a song or y_1 will drive a car.
For all y_1, if y_1 works, then y_1 is listening to a song can be inferred via the universal biconditional elimination rule. For all y_1, if y_1 listens to a song, then y_1 is working can be inferred via the universal biconditional elimination rule.