Consider the following premises. forall y: W(y) or T(y). exists y: W(y) -> P_3(y). forall y: T(y) -> P_3(y). Can we infer exists y: P_3(y) from them? If possible, name the inference rules being used at each step.
We can infer exists y: P_3(y) via the existential disjunction elimination rule. Therefore, the answer is yes.