Consider the following premises. forall x_15: P_15(x_15) or ~Q_10(x_15). forall x_15: P_15(x_15) <-> T_2(x_15). forall x_15: Q_10(x_15). Can we infer forall x_15: T_2(x_15) or Q(x_15) from them? If possible, name the inference rules being used at each step.
 From forall x_15: P_15(x_15) <-> T_2(x_15) we can infer forall x_15: P_15(x_15) -> T_2(x_15) via universal biconditional elimination. From forall x_15: P_15(x_15) or ~Q_10(x_15) we can infer forall x_15: Q_10(x_15) -> P_15(x_15) via universal rewriting. From forall x_15: Q_10(x_15) -> P_15(x_15), forall x_15: Q_10(x_15) we can infer forall x_15: P_15(x_15) via universal modus ponens. From forall x_15: P_15(x_15) -> T_2(x_15), forall x_15: P_15(x_15) we can infer forall x_15: T_2(x_15) via universal modus ponens. Finally, from forall x_15: T_2(x_15) we can infer forall x_15: T_2(x_15) or Q(x_15) via universal addition. Therefore, the answer is yes.