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