Consider the following premises. forall y: T_1(y) -> T_4(y). exists y: ~T_4(y). forall y: T_1(y) -> Q(y). forall y: Q(y) -> T_1(y). Can we infer forall y: T_1(y) -> Q(y) from them?
That is one of the premises. Therefore, the answer is yes.