Consider the following premises. forall y: ~W_4(y). forall y: R_4(y) or Q_3(y). forall y: P(y) <-> W_4(y). forall y: R_4(y) <-> P(y). Can we infer forall y: Q_3(y) from them?
 From forall y: P(y) <-> W_4(y), forall y: ~W_4(y) we can infer forall y: ~P(y). From forall y: R_4(y) <-> P(y) we can infer forall y: R_4(y) -> P(y). From forall y: R_4(y) -> P(y), forall y: ~P(y) we can infer forall y: ~R_4(y). Finally, from forall y: R_4(y) or Q_3(y), forall y: ~R_4(y) we can infer forall y: Q_3(y). Therefore, the answer is yes.