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_5, x_5 will not play a game. For all x_5, if x_5 were an electrician, then x_5 is playing a game. For all x_5, x_5 is an electrician if and only if x_5 will play a game.
For all x_5, x_5 is not an electrician can be inferred via the universal modus tollens rule. For all x_5, if x_5 were an electrician, then x_5 is playing a game can be inferred via the universal biconditional elimination rule. For all x_5, if x_5 plays a game, then x_5 is an electrician can be inferred via the universal biconditional elimination rule. For all x_5, x_5 is not an electrician can be inferred via the universal biconditional elimination rule.