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: ~T(x). forall x: T(x) -> S(x). forall x: S(x) -> T(x). forall x: S(x) -> T_1(x). forall x: T_1(x) -> S(x).
forall x: ~S(x) can be inferred via the universal modus tollens rule. forall x: T(x) -> T_1(x) can be inferred via the universal transitivity rule. forall x: T_1(x) -> T(x) can be inferred via the universal transitivity rule. forall x: T(x) <-> S(x) can be inferred via the universal biconditional introduction rule. forall x: S(x) <-> T(x) can be inferred via the universal biconditional introduction rule. forall x: S(x) <-> T_1(x) can be inferred via the universal biconditional introduction rule. forall x: T_1(x) <-> S(x) can be inferred via the universal biconditional introduction rule.