Consider the following premises. W_3(a_5) <-> q. forall x_7: W_3(x_7) -> ~Q_7(x_7). forall x_7: Q_7(x_7). Can we infer ~q from them?
 From forall x_7: W_3(x_7) -> ~Q_7(x_7), forall x_7: Q_7(x_7) we can infer forall x_7: ~W_3(x_7). From forall x_7: ~W_3(x_7) we can infer ~W_3(a_5). Finally, from W_3(a_5) <-> q, ~W_3(a_5) we can infer ~q. Therefore, the answer is yes.