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_2: P(z_2) -> S(z_2). forall z_2: T(z_2) -> P(z_2). forall z_2: ~S(z_2). exists z_2: P(z_2) -> T(z_2). forall z_2: S(z_2) -> P(z_2).
forall z_2: ~P(z_2) can be inferred via the universal modus tollens rule. forall z_2: T(z_2) -> S(z_2) can be inferred via the universal transitivity rule. exists z_2: S(z_2) -> T(z_2) can be inferred via the existential transitivity rule. forall z_2: P(z_2) <-> S(z_2) can be inferred via the universal biconditional introduction rule. forall z_2: S(z_2) <-> P(z_2) can be inferred via the universal biconditional introduction rule. exists z_2: P(z_2) <-> T(z_2) can be inferred via the existential biconditional introduction rule. exists z_2: T(z_2) <-> P(z_2) can be inferred via the existential biconditional introduction rule.