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_10: P_10(x_10) -> T_2(x_10). forall x_10: T_2(x_10) -> P_10(x_10). exists x_10: ~P_10(x_10). forall x_10: R_4(x_10) -> T_2(x_10). forall x_10: T_2(x_10) -> R_4(x_10).
exists x_10: ~T_2(x_10) can be inferred via the existential modus tollens rule. forall x_10: P_10(x_10) -> R_4(x_10) can be inferred via the universal transitivity rule. forall x_10: R_4(x_10) -> P_10(x_10) can be inferred via the universal transitivity rule. forall x_10: P_10(x_10) <-> T_2(x_10) can be inferred via the universal biconditional introduction rule. forall x_10: T_2(x_10) <-> P_10(x_10) can be inferred via the universal biconditional introduction rule. forall x_10: R_4(x_10) <-> T_2(x_10) can be inferred via the universal biconditional introduction rule. forall x_10: T_2(x_10) <-> R_4(x_10) can be inferred via the universal biconditional introduction rule.