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: W_4(z) -> T_1(z). forall z: ~Q(z). forall z: W_4(z) -> Q(z). forall z: T_1(z) -> W_4(z). forall z: Q(z) -> W_4(z).
forall z: ~W_4(z) can be inferred via the universal modus tollens rule. forall z: T_1(z) -> Q(z) can be inferred via the universal transitivity rule. exists z: Q(z) -> T_1(z) can be inferred via the existential transitivity rule. forall z: W_4(z) <-> Q(z) can be inferred via the universal biconditional introduction rule. forall z: Q(z) <-> W_4(z) can be inferred via the universal biconditional introduction rule. exists z: W_4(z) <-> T_1(z) can be inferred via the existential biconditional introduction rule. exists z: T_1(z) <-> W_4(z) can be inferred via the existential biconditional introduction rule.