Translate the following inference to logic notation: There is at least one x for which x_14 is happy and x_14 will climb a mountain. For all x, x_14 will play tennis and x_14 is fast. Therefore there is at least one x for which x_14 will play tennis.
exists x: P(x) and Q(x). forall x: R(x) and S(x). Therefore exists x: R(x).