Consider the following premises. forall x_12: P_1(x_12) -> T(x_12). exists x_12: ~P_12(x_12). forall x_12: P_12(x_12) <-> T(x_12). Can we infer forall x_12: P_1(x_12) -> T(x_12) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.