Consider the following premises. exists y: T(y) -> ~T_4(y). forall y: T_4(y). forall y: T(y) <-> W(y). Can we infer forall y: W(y) from them?
 From exists y: T(y) -> ~T_4(y), forall y: T_4(y) we can infer exists y: ~T(y). Finally, from forall y: T(y) <-> W(y), exists y: ~T(y) we can infer exists y: ~W(y), which contradicts forall y: W(y). Therefore, the answer is no.