Consider the following premises. exists y_2: R(y_2) <-> T(y_2). forall y_2: W(y_2) or ~R(y_2). Can we infer exists y_2: T(y_2) -> W(y_2) from them? If possible, name the inference rules being used at each step.
 From forall y_2: W(y_2) or ~R(y_2) we can infer forall y_2: R(y_2) -> W(y_2) via universal rewriting. From exists y_2: R(y_2) <-> T(y_2) we can infer exists y_2: T(y_2) -> R(y_2) via existential biconditional elimination. Finally, from exists y_2: T(y_2) -> R(y_2), forall y_2: R(y_2) -> W(y_2) we can infer exists y_2: T(y_2) -> W(y_2) via existential transitivity. Therefore, the answer is yes.