Consider the following premises. exists x_2: W_1(x_2) or W(x_2). forall x_2: W(x_2) -> Q_3(x_2). forall x_2: W_1(x_2) -> Q_3(x_2). Can we infer exists x_2: Q_3(x_2) from them? If possible, name the inference rules being used at each step.
We can infer exists x_2: Q_3(x_2) via the existential disjunction elimination rule. Therefore, the answer is yes.