Consider the following premises. forall x_11: P_5(x_11). forall x_11: T(x_11). forall x_11: P_5(x_11) -> S(x_11). forall x_11: T(x_11) <-> W_3(x_11). Can we infer forall x_11: S(x_11) and W_3(x_11) from them? If possible, name the inference rules being used at each step.
 From forall x_11: T(x_11) <-> W_3(x_11) we can infer forall x_11: T(x_11) -> W_3(x_11) via universal biconditional elimination. From forall x_11: P_5(x_11) -> S(x_11), forall x_11: P_5(x_11) we can infer forall x_11: S(x_11) via universal modus ponens. From forall x_11: T(x_11) -> W_3(x_11), forall x_11: T(x_11) we can infer forall x_11: W_3(x_11) via universal modus ponens. Finally, from forall x_11: S(x_11), forall x_11: W_3(x_11) we can infer forall x_11: S(x_11) and W_3(x_11) via universal conjunction. Therefore, the answer is yes.