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: ~S(a_7). T(a_7) <-> q. forall z: T(z) <-> S(z).
T(a_7) -> q can be inferred via the biconditional elimination rule. q -> T(a_7) can be inferred via the biconditional elimination rule. forall z: T(z) -> S(z) can be inferred via the universal biconditional elimination rule. forall z: S(z) -> T(z) can be inferred via the universal biconditional elimination rule.