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: forall x_14: P_10(x_14) -> P_14(x_14). forall x_14: ~Q_14(x_14). forall x_14: P_9(x_14) <-> P_10(x_14). forall x_14: P_14(x_14) -> Q_14(x_14). q_1 <-> P_9(a_5).
q_1 -> P_9(a_5) can be inferred via the biconditional elimination rule. P_9(a_5) -> q_1 can be inferred via the biconditional elimination rule. forall x_14: ~P_14(x_14) can be inferred via the universal modus tollens rule. forall x_14: P_10(x_14) -> Q_14(x_14) can be inferred via the universal transitivity rule. forall x_14: P_9(x_14) -> P_10(x_14) can be inferred via the universal biconditional elimination rule. forall x_14: P_10(x_14) -> P_9(x_14) can be inferred via the universal biconditional elimination rule.