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 y: S(y) -> T(y). exists y: S_2(y) <-> S(y). forall y: S(y) <-> S_2(y). forall y: ~T(y).
forall y: ~S(y) can be inferred via the universal modus tollens rule. forall y: S(y) -> S_2(y) can be inferred via the universal biconditional elimination rule. exists y: S_2(y) -> S(y) can be inferred via the existential biconditional elimination rule. forall y: S_2(y) -> S(y) can be inferred via the universal biconditional elimination rule. exists y: S(y) -> S_2(y) can be inferred via the existential biconditional elimination rule.