Consider the following premises. S_10(a_10) -> q_1. q_1 -> R_10(a_10). forall x_10: R_10(x_10) -> S_10(x_10). Can we infer S_10(a_10) <-> R_10(a_10) from them? If possible, name the inference rules being used at each step.
 From forall x_10: R_10(x_10) -> S_10(x_10) we can infer R_10(a_10) -> S_10(a_10) via universal instantiation. From S_10(a_10) -> q_1, q_1 -> R_10(a_10) we can infer S_10(a_10) -> R_10(a_10) via transitivity. Finally, from S_10(a_10) -> R_10(a_10), R_10(a_10) -> S_10(a_10) we can infer S_10(a_10) <-> R_10(a_10) via biconditional introduction. Therefore, the answer is yes.