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: If Charles plays a game, then Joseph is excited. For all x_17, x_17 will play tennis if and only if x_17 is excited. For all x_17, x_17 will not play tennis.
For all x_17, if x_17 plays tennis, then x_17 is excited can be inferred via the universal biconditional elimination rule. For all x_17, if x_17 were excited, then x_17 is playing tennis can be inferred via the universal biconditional elimination rule. For all x_17, x_17 is not excited can be inferred via the universal biconditional elimination rule.