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 take a plane or y will not go running. For all y, y will take a plane if and only if y will go running.
For all y, if y goes running, then y is taking a plane can be inferred via the universal rewriting rule. For all y, if y takes a plane, then y is running can be inferred via the universal biconditional elimination rule. For all y, if y goes running, then y is taking a plane can be inferred via the universal biconditional elimination rule.