Consider the following premises. forall x_14: R(x_14). forall x_14: T(x_14). w -> ~R(a_9). Can we infer ~w from them? If possible, name the inference rules being used at each step.
 From forall x_14: R(x_14), forall x_14: T(x_14) we can infer forall x_14: R(x_14) and T(x_14) via universal conjunction. From forall x_14: R(x_14) and T(x_14) we can infer forall x_14: R(x_14) via universal simplification. From forall x_14: R(x_14) we can infer R(a_9) via universal instantiation. Finally, from w -> ~R(a_9), R(a_9) we can infer ~w via modus tollens. Therefore, the answer is yes.