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: exists z: T_3(z) -> P_1(z). forall z: P_1(z) -> T_3(z). forall z: T_3(z) <-> P(z). forall z: ~P(z).
exists z: T_3(z) <-> P_1(z) can be inferred via the existential biconditional introduction rule. exists z: P_1(z) <-> T_3(z) can be inferred via the existential biconditional introduction rule. forall z: T_3(z) -> P(z) can be inferred via the universal biconditional elimination rule. forall z: P(z) -> T_3(z) can be inferred via the universal biconditional elimination rule. forall z: ~T_3(z) can be inferred via the universal biconditional elimination rule.