Consider the following premises. forall x_11: Q_11(x_11) -> R_11(x_11). R_11(d_1) -> q_1. q_1 -> P_11(d_1). forall x_11: P_11(x_11) -> Q_11(x_11). Can we infer forall x_11: Q_11(x_11) -> R_11(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.