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: exists x_10: P_5(x_10) <-> P_2(x_10). forall x_10: P_2(x_10) -> S(x_10). forall x_10: S(x_10) -> P_2(x_10).
forall x_10: P_2(x_10) <-> S(x_10) can be inferred via the universal biconditional introduction rule. forall x_10: S(x_10) <-> P_2(x_10) can be inferred via the universal biconditional introduction rule. exists x_10: P_5(x_10) -> P_2(x_10) can be inferred via the existential biconditional elimination rule. exists x_10: P_2(x_10) -> P_5(x_10) can be inferred via the existential biconditional elimination rule.