Consider the following premises. forall x_7: P_7(x_7) or Q_7(x_7). forall x_7: P_7(x_7) -> R_7(x_7). forall x_7: P_3(x_7). forall x_7: Q_7(x_7) -> R_7(x_7). Can we infer P_3(a_2) from them?
 From forall x_7: P_7(x_7) -> R_7(x_7), forall x_7: Q_7(x_7) -> R_7(x_7), forall x_7: P_7(x_7) or Q_7(x_7) we can infer forall x_7: R_7(x_7). From forall x_7: P_3(x_7), forall x_7: R_7(x_7) we can infer forall x_7: P_3(x_7) and R_7(x_7). From forall x_7: P_3(x_7) and R_7(x_7) we can infer P_3(a_2) and R_7(a_2). Finally, from P_3(a_2) and R_7(a_2) we can infer P_3(a_2). Therefore, the answer is yes.