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, y will not drive a car. For all y, y will go running if and only if y will drive a car. For all y, y is an artist if and only if y will go running.
For all y, if y goes running, then y is driving a car can be inferred via the universal biconditional elimination rule. For all y, if y were an artist, then y is running can be inferred via the universal biconditional elimination rule. For all y, if y drives a car, then y is running can be inferred via the universal biconditional elimination rule. For all y, if y goes running, then y is an artist can be inferred via the universal biconditional elimination rule. For all y, y will not go running can be inferred via the universal biconditional elimination rule.