Consider the following premises. forall x_7: U(x_7) -> P(x_7). forall x_7: T(x_7). forall x_7: U(x_7) and Q_7(x_7). Can we infer forall x_7: U(x_7) and Q_7(x_7) from them?
That is one of the premises. Therefore, the answer is yes.