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 x, x will play a game or x is not a nurse. For all x, x is a nurse if and only if x will play a game.
For all x, if x were a nurse, then x is playing a game can be inferred via the universal rewriting rule. For all x, if x were a nurse, then x is playing a game can be inferred via the universal biconditional elimination rule. For all x, if x plays a game, then x is a nurse can be inferred via the universal biconditional elimination rule.