Translate the following inference to logic notation: There is at least one x for which x_16 is poor. For all x, x_16 is a musician if and only if x_16 is a carpenter. For all x, if x_16 were rich, then x_16 is a carpenter. For all x, if x_16 were poor, then x_16 is a carpenter. Therefore there is at least one x for which x_16 is a musician.
exists x: P(x). forall x: Q(x) <-> R(x). forall x: S(x) -> R(x). forall x: P(x) -> R(x). Therefore exists x: Q(x).