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 y: ~R(y). forall y: T(y) <-> S_3(y). forall y: T(y) -> S_3(y). forall y: T(y) <-> R(y).
forall y: T(y) -> S_3(y) can be inferred via the universal biconditional elimination rule. forall y: T(y) -> R(y) can be inferred via the universal biconditional elimination rule. forall y: S_3(y) -> T(y) can be inferred via the universal biconditional elimination rule. forall y: R(y) -> T(y) can be inferred via the universal biconditional elimination rule. exists y: ~T(y) can be inferred via the existential biconditional elimination rule.