Consider the following premises. forall z_4: P(z_4). forall z_4: T(z_4) -> P(z_4). forall z_4: P(z_4) -> T(z_4). Can we infer forall z_4: T(z_4) -> P(z_4) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.