Consider the following premises. forall x_4: U_4(x_4). forall x_4: P_4(x_4). exists x_4: P_4(x_4) -> T_3(x_4). Can we infer exists x_4: T_3(x_4) from them? If possible, name the inference rules being used at each step.
We can infer exists x_4: T_3(x_4) via the existential modus ponens rule. Therefore, the answer is yes.