Consider the following premises. exists x_16: T(x_16). forall x_16: Q_16(x_16). forall x_16: T_2(x_16) and Q_14(x_16). Can we infer exists x_16: T_2(x_16) from them?
 From exists x_16: T(x_16), forall x_16: Q_16(x_16) we can infer exists x_16: T(x_16) and Q_16(x_16). From forall x_16: T_2(x_16) and Q_14(x_16) we can infer forall x_16: T_2(x_16). From exists x_16: T(x_16) and Q_16(x_16) we can infer exists x_16: T(x_16). From forall x_16: T_2(x_16), exists x_16: T(x_16) we can infer exists x_16: T_2(x_16) and T(x_16). Finally, from exists x_16: T_2(x_16) and T(x_16) we can infer exists x_16: T_2(x_16). Therefore, the answer is yes.