Consider the following premises. forall x_13: P_5(x_13) <-> W_1(x_13). forall x_13: ~Q_5(x_13). forall x_13: P_5(x_13) -> Q_5(x_13). exists x_13: W_1(x_13) <-> U(x_13). Can we infer exists x_13: W_1(x_13) <-> U(x_13) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.