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 z: Q(z) -> T_2(z). forall z: ~Q_2(z). forall z: Q(z) -> Q_2(z). forall z: T_2(z) -> Q(z). exists z: S_2(z) -> T_2(z).
forall z: ~Q(z) can be inferred via the universal modus tollens rule. forall z: T_2(z) -> Q_2(z) can be inferred via the universal transitivity rule. exists z: S_2(z) -> Q(z) can be inferred via the existential transitivity rule. forall z: Q(z) <-> T_2(z) can be inferred via the universal biconditional introduction rule. forall z: T_2(z) <-> Q(z) can be inferred via the universal biconditional introduction rule.