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 x: S(x) <-> P_2(x). forall x: S(x) or W_2(x). forall x: ~R_1(x). forall x: R_1(x) <-> P_2(x).
forall x: R_1(x) -> P_2(x) can be inferred via the universal biconditional elimination rule. exists x: S(x) -> P_2(x) can be inferred via the existential biconditional elimination rule. forall x: P_2(x) -> R_1(x) can be inferred via the universal biconditional elimination rule. exists x: P_2(x) -> S(x) can be inferred via the existential biconditional elimination rule. forall x: ~P_2(x) can be inferred via the universal biconditional elimination rule.