Consider the following premises. forall x_11: P_1(x_11) or ~P(x_11). forall x_11: P_11(x_11) <-> P_1(x_11). forall x_11: ~P_11(x_11). exists x_11: P(x_11) or W_2(x_11). Can we infer forall x_11: P_1(x_11) or ~P(x_11) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.