Consider the following premises. w -> s_2. forall x_13: P_13(x_13) <-> Q_13(x_13). Q_13(a_10) -> w. Can we infer P_13(a_10) -> s_2 from them?
 From forall x_13: P_13(x_13) <-> Q_13(x_13) we can infer forall x_13: P_13(x_13) -> Q_13(x_13). From forall x_13: P_13(x_13) -> Q_13(x_13) we can infer P_13(a_10) -> Q_13(a_10). From Q_13(a_10) -> w, w -> s_2 we can infer Q_13(a_10) -> s_2. Finally, from P_13(a_10) -> Q_13(a_10), Q_13(a_10) -> s_2 we can infer P_13(a_10) -> s_2. Therefore, the answer is yes.