Consider the following premises. forall x: P_3(x) -> W_4(x). forall x: R(x) -> U_2(x). forall x: W(x) -> R(x). forall x: U_2(x) -> P_3(x). Can we infer forall x: W(x) -> W_4(x) from them?
 From forall x: U_2(x) -> P_3(x), forall x: P_3(x) -> W_4(x) we can infer forall x: U_2(x) -> W_4(x). From forall x: W(x) -> R(x), forall x: R(x) -> U_2(x) we can infer forall x: W(x) -> U_2(x). Finally, from forall x: W(x) -> U_2(x), forall x: U_2(x) -> W_4(x) we can infer forall x: W(x) -> W_4(x). Therefore, the answer is yes.