Consider the following premises. forall x_8: P_8(x_8) or T(x_8). forall x_8: ~P_8(x_8). forall z: T(z) -> W(z). Can we infer W(a) from them? If possible, name the inference rules being used at each step.
 From forall x_8: P_8(x_8) or T(x_8), forall x_8: ~P_8(x_8) we can infer forall x_8: T(x_8) via universal disjunctive syllogism. From forall x_8: T(x_8) we can infer T(a) via universal instantiation. From forall z: T(z) -> W(z) we can infer T(a) -> W(a) via universal instantiation. Finally, from T(a) -> W(a), T(a) we can infer W(a) via modus ponens. Therefore, the answer is yes.