Consider the following premises. forall x_7: Q_1(x_7) -> Q_7(x_7). forall x_7: Q(x_7) <-> Q_7(x_7). forall x_7: R(x_7) -> Q_1(x_7). exists x_7: Q(x_7) or R(x_7). Can we infer forall x_7: Q_1(x_7) -> Q_7(x_7) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.