Translate the following inference to logic notation: For all x, if x were an electrician, then x is playing tennis. For all x, x is a taxi driver or x will not play tennis. For all x, if x were a taxi driver, then x is an electrician. Therefore for all x, x will play tennis if and only if x is an electrician.
forall x: P(x) -> Q(x). forall x: R(x) or ~Q(x). forall x: R(x) -> P(x). Therefore forall x: Q(x) <-> P(x).