Consider the following premises. exists x_6: T_2(x_6) and Q_6(x_6). forall x_6: Q(x_6). Can we infer exists x_6: T_2(x_6) and Q(x_6) from them? If possible, name the inference rules being used at each step.
 From exists x_6: T_2(x_6) and Q_6(x_6) we can infer exists x_6: T_2(x_6) via existential simplification. Finally, from exists x_6: T_2(x_6), forall x_6: Q(x_6) we can infer exists x_6: T_2(x_6) and Q(x_6) via existential conjunction. Therefore, the answer is yes.