Consider the following premises. forall x_10: R_10(x_10) -> S_10(x_10). w or R_10(a_10). w <-> S_10(a_10). Can we infer S_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 w <-> S_10(a_10) we can infer w -> S_10(a_10) via biconditional elimination. Finally, from w -> S_10(a_10), R_10(a_10) -> S_10(a_10), w or R_10(a_10) we can infer S_10(a_10) via disjunction elimination. Therefore, the answer is yes.