Consider the following premises. forall x_8: P_3(x_8) -> Q_3(x_8). forall x_8: P_3(x_8). forall x_8: P_8(x_8). exists x_8: P_8(x_8) -> T(x_8). Can we infer exists x_8: T(x_8) from them? If possible, name the inference rules being used at each step.
We can infer exists x_8: T(x_8) via the existential modus ponens rule. Therefore, the answer is yes.