Translate the following inference to logic notation: There is at least one x for which x_10 is a doctor. For all x, x_10 is a politician. For all x, x_10 will go running. Therefore there is at least one x for which x_10 is a politician and x_10 is a doctor.
exists x: P(x). forall x: Q(x). forall x: R(x). Therefore exists x: Q(x) and P(x).