Consider the following premises. forall x_7: P_7(x_7) -> R_2(x_7). forall x_7: P_7(x_7) <-> R_2(x_7). Can we infer R_2(g) -> P_7(g) from them?
 From forall x_7: P_7(x_7) <-> R_2(x_7) we can infer forall x_7: R_2(x_7) -> P_7(x_7). From forall x_7: R_2(x_7) -> P_7(x_7), forall x_7: P_7(x_7) -> R_2(x_7) we can infer forall x_7: R_2(x_7) <-> P_7(x_7). From forall x_7: R_2(x_7) <-> P_7(x_7) we can infer R_2(g) <-> P_7(g). Finally, from R_2(g) <-> P_7(g) we can infer R_2(g) -> P_7(g). Therefore, the answer is yes.