Consider the following premises. forall z: W_3(z) <-> W(z). forall z: ~U(z). forall z: W(z) <-> U(z). forall z: W_3(z) <-> T(z). Can we infer exists z: T(z) from them?
 From forall z: W(z) <-> U(z), forall z: ~U(z) we can infer forall z: ~W(z). From forall z: W_3(z) <-> W(z), forall z: ~W(z) we can infer forall z: ~W_3(z). Finally, from forall z: W_3(z) <-> T(z), forall z: ~W_3(z) we can infer forall z: ~T(z), which contradicts exists z: T(z). Therefore, the answer is no.