Consider the following premises. forall x_16: Q_10(x_16) -> T_3(x_16). forall x_16: P_10(x_16) -> T_3(x_16). forall x_16: Q(x_16) <-> T_3(x_16). exists x_16: P_10(x_16). Can we infer exists x_16: Q(x_16) from them? If possible, name the inference rules being used at each step.
 From forall x_16: Q(x_16) <-> T_3(x_16) we can infer forall x_16: T_3(x_16) -> Q(x_16) via universal biconditional elimination. From exists x_16: P_10(x_16) we can infer exists x_16: P_10(x_16) or Q_10(x_16) via existential addition. From forall x_16: P_10(x_16) -> T_3(x_16), forall x_16: Q_10(x_16) -> T_3(x_16), exists x_16: P_10(x_16) or Q_10(x_16) we can infer exists x_16: T_3(x_16) via existential disjunction elimination. Finally, from forall x_16: T_3(x_16) -> Q(x_16), exists x_16: T_3(x_16) we can infer exists x_16: Q(x_16) via existential modus ponens. Therefore, the answer is yes.