Translate the following inference to logic notation: There is at least one x for which if x were poor, then x is writing a letter. For all x, x is an electrician if and only if x will write a letter. For all x, if x were an electrician, then x is a taxi driver. Therefore there is at least one x for which if x were poor, then x is a taxi driver.
exists x: P(x) -> Q(x). forall x: R(x) <-> Q(x). forall x: R(x) -> S(x). Therefore exists x: P(x) -> S(x).