Translate the following inference to logic notation: There is at least one x for which x_3 is happy. For all x, x_3 is a musician and x_3 is a doctor. Therefore there is at least one x for which x_3 is happy and x_3 is a musician.
exists x: P(x). forall x: Q(x) and R(x). Therefore exists x: P(x) and Q(x).