Consider the following premises. forall x_8: Q(x_8). forall x_8: Q(x_8) <-> T_4(x_8). forall x_8: R_1(x_8). Can we infer forall x_8: T_4(x_8) from them? If possible, name the inference rules being used at each step.
 From forall x_8: Q(x_8) <-> T_4(x_8) we can infer forall x_8: Q(x_8) -> T_4(x_8) via universal biconditional elimination. From forall x_8: Q(x_8), forall x_8: R_1(x_8) we can infer forall x_8: Q(x_8) and R_1(x_8) via universal conjunction. From forall x_8: Q(x_8) and R_1(x_8) we can infer forall x_8: Q(x_8) via universal simplification. Finally, from forall x_8: Q(x_8) -> T_4(x_8), forall x_8: Q(x_8) we can infer forall x_8: T_4(x_8) via universal modus ponens. Therefore, the answer is yes.