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: ~P(x). exists x: R_3(x) -> W(x). forall x: W(x) -> R_3(x). forall x: R_3(x) <-> P(x).
exists x: R_3(x) <-> W(x) can be inferred via the existential biconditional introduction rule. exists x: W(x) <-> R_3(x) can be inferred via the existential biconditional introduction rule. forall x: R_3(x) -> P(x) can be inferred via the universal biconditional elimination rule. forall x: P(x) -> R_3(x) can be inferred via the universal biconditional elimination rule. forall x: ~R_3(x) can be inferred via the universal biconditional elimination rule.