Consider the following premises. forall x_16: P_2(x_16) <-> U_1(x_16). forall x_16: P_2(x_16). Can we infer U_1(e) or p_2 from them? If possible, name the inference rules being used at each step.
 From forall x_16: P_2(x_16) <-> U_1(x_16) we can infer forall x_16: P_2(x_16) -> U_1(x_16) via universal biconditional elimination. From forall x_16: P_2(x_16) -> U_1(x_16), forall x_16: P_2(x_16) we can infer forall x_16: U_1(x_16) via universal modus ponens. From forall x_16: U_1(x_16) we can infer U_1(e) via universal instantiation. Finally, from U_1(e) we can infer U_1(e) or p_2 via addition. Therefore, the answer is yes.