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 y: S_3(y) <-> W_1(y). forall y: W(y) -> S(y). forall y: ~S(y). exists y: W_1(y) <-> W(y).
forall y: ~W(y) can be inferred via the universal modus tollens rule. forall y: S_3(y) -> W_1(y) can be inferred via the universal biconditional elimination rule. exists y: W_1(y) -> W(y) can be inferred via the existential biconditional elimination rule. forall y: W_1(y) -> S_3(y) can be inferred via the universal biconditional elimination rule. exists y: W(y) -> W_1(y) can be inferred via the existential biconditional elimination rule.