Consider the following premises. forall y_1: ~R(y_1). r <-> R(a_10). r <-> q. Can we infer ~q from them? If possible, name the inference rules being used at each step.
 From forall y_1: ~R(y_1) we can infer ~R(a_10) via universal instantiation. From r <-> R(a_10), ~R(a_10) we can infer ~r via biconditional elimination. Finally, from r <-> q, ~r we can infer ~q via biconditional elimination. Therefore, the answer is yes.