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