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: There is at least one y for which if y listens to a song, then y is making tea. For all y, y will drive a car. For all y, y will drive a car if and only if y will listen to a song. For all y, y will go running.
For all y, y will drive a car and y will go running can be inferred via the universal conjunction rule. For all y, y will go running and y will drive a car can be inferred via the universal conjunction rule. For all y, if y drives a car, then y is listening to a song can be inferred via the universal biconditional elimination rule. For all y, if y listens to a song, then y is driving a car can be inferred via the universal biconditional elimination rule.