Consider the following premises. forall x_2: P_2(x_2) -> Q_2(x_2). forall x_2: Q_2(x_2) -> T_2(x_2). forall x_2: T_2(x_2) -> P_2(x_2). forall x_2: ~T_2(x_2). Can we infer forall x_2: ~T_2(x_2) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.