Consider the following premises. forall x_1: T(x_1) -> R_1(x_1). forall x_1: P_1(x_1) -> Q_1(x_1). exists x_1: T(x_1) or P_1(x_1). forall x_1: Q_1(x_1) -> R_1(x_1). Can we infer forall x_1: Q_1(x_1) -> R_1(x_1) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.