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_4(x) <-> U(x). forall x: ~T(x). forall x: U(x) <-> T(x). forall x: Q(x) <-> S_4(x).
forall x: S_4(x) -> U(x) can be inferred via the universal biconditional elimination rule. forall x: U(x) -> T(x) can be inferred via the universal biconditional elimination rule. forall x: Q(x) -> S_4(x) can be inferred via the universal biconditional elimination rule. forall x: U(x) -> S_4(x) can be inferred via the universal biconditional elimination rule. forall x: T(x) -> U(x) can be inferred via the universal biconditional elimination rule. forall x: S_4(x) -> Q(x) can be inferred via the universal biconditional elimination rule. forall x: ~U(x) can be inferred via the universal biconditional elimination rule.