Consider the following premises. forall x_14: Q_14(x_14) or ~P_10(x_14). forall x_14: P_10(x_14) or ~P_14(x_14). forall x_14: P_14(x_14) or ~Q_14(x_14). Can we infer forall x_14: Q_14(x_14) <-> P_10(x_14) from them? If possible, name the inference rules being used at each step.
 From forall x_14: P_14(x_14) or ~Q_14(x_14) we can infer forall x_14: Q_14(x_14) -> P_14(x_14) via universal rewriting. From forall x_14: P_10(x_14) or ~P_14(x_14) we can infer forall x_14: P_14(x_14) -> P_10(x_14) via universal rewriting. From forall x_14: Q_14(x_14) or ~P_10(x_14) we can infer forall x_14: P_10(x_14) -> Q_14(x_14) via universal rewriting. From forall x_14: Q_14(x_14) -> P_14(x_14), forall x_14: P_14(x_14) -> P_10(x_14) we can infer forall x_14: Q_14(x_14) -> P_10(x_14) via universal transitivity. Finally, from forall x_14: Q_14(x_14) -> P_10(x_14), forall x_14: P_10(x_14) -> Q_14(x_14) we can infer forall x_14: Q_14(x_14) <-> P_10(x_14) via universal biconditional introduction. Therefore, the answer is yes.