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: T_1(x) <-> P(x). forall x: U(x) <-> S(x). exists x: ~U(x). forall x: S(x) <-> T_1(x).
forall x: T_1(x) -> P(x) can be inferred via the universal biconditional elimination rule. forall x: U(x) -> S(x) can be inferred via the universal biconditional elimination rule. forall x: S(x) -> T_1(x) can be inferred via the universal biconditional elimination rule. forall x: P(x) -> T_1(x) can be inferred via the universal biconditional elimination rule. forall x: S(x) -> U(x) can be inferred via the universal biconditional elimination rule. forall x: T_1(x) -> S(x) can be inferred via the universal biconditional elimination rule. exists x: ~S(x) can be inferred via the existential biconditional elimination rule.