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: U_3(x) -> P(x). forall x: Q(x) -> W_1(x). forall x: P(x) -> Q(x). forall x: W_1(x) -> U_3(x).
forall x: Q(x) -> U_3(x) can be inferred via the universal transitivity rule. forall x: P(x) -> W_1(x) can be inferred via the universal transitivity rule. exists x: U_3(x) -> Q(x) can be inferred via the existential transitivity rule. exists x: W_1(x) -> P(x) can be inferred via the existential transitivity rule.