Consider the following premises. forall x_8: P_8(x_8) and Q_8(x_8). forall x_8: S_1(x_8). Can we infer S_1(j) from them? If possible, name the inference rules being used at each step.
 From forall x_8: P_8(x_8) and Q_8(x_8) we can infer forall x_8: P_8(x_8) via universal simplification. From forall x_8: S_1(x_8), forall x_8: P_8(x_8) we can infer forall x_8: S_1(x_8) and P_8(x_8) via universal conjunction. From forall x_8: S_1(x_8) and P_8(x_8) we can infer forall x_8: S_1(x_8) via universal simplification. Finally, from forall x_8: S_1(x_8) we can infer S_1(j) via universal instantiation. Therefore, the answer is yes.