Consider the following premises. forall y: U(y) -> R(y). forall y: R(y) -> W(y). forall y: T_1(y) or ~W(y). Can we infer forall y: U(y) -> T_1(y) from them?
 From forall y: U(y) -> R(y), forall y: R(y) -> W(y) we can infer forall y: U(y) -> W(y). From forall y: T_1(y) or ~W(y) we can infer forall y: W(y) -> T_1(y). Finally, from forall y: U(y) -> W(y), forall y: W(y) -> T_1(y) we can infer forall y: U(y) -> T_1(y). Therefore, the answer is yes.