Translate the following inference to logic notation: For all x, x_10 is a nurse or x_10 is an astronaut. For all x, x_10 will not play squash. There is at least one x for which if x_10 were a nurse, then x_10 is playing squash. For all x, if x_10 plays squash, then x_10 is a nurse. Therefore there is at least one x for which x_10 is an astronaut.
forall x: P(x) or Q(x). forall x: ~R(x). exists x: P(x) -> R(x). forall x: R(x) -> P(x). Therefore exists x: Q(x).