Consider the following premises. R_11(a_10) -> r. forall x_11: P(x_11) -> Q_11(x_11). forall x_11: Q_11(x_11) -> R_11(x_11). r -> P(a_10). Can we infer forall x_11: P(x_11) -> Q_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.