Consider the following premises. forall x_7: U_2(x_7) <-> Q_7(x_7). forall x_7: U_2(x_7) -> Q_7(x_7). Can we infer U_2(a_2) -> Q_7(a_2) from them? If possible, name the inference rules being used at each step.
 From forall x_7: U_2(x_7) <-> Q_7(x_7) we can infer forall x_7: Q_7(x_7) -> U_2(x_7) via universal biconditional elimination. From forall x_7: U_2(x_7) -> Q_7(x_7), forall x_7: Q_7(x_7) -> U_2(x_7) we can infer forall x_7: U_2(x_7) <-> Q_7(x_7) via universal biconditional introduction. From forall x_7: U_2(x_7) <-> Q_7(x_7) we can infer U_2(a_2) <-> Q_7(a_2) via universal instantiation. Finally, from U_2(a_2) <-> Q_7(a_2) we can infer U_2(a_2) -> Q_7(a_2) via biconditional elimination. Therefore, the answer is yes.