Translate the following inference to logic notation: For all x, if x_13 were an astronaut, then x_13 is writing a letter. For all x, x_13 will drive a car and x_13 is poor. There is at least one x for which x_13 will play tennis or x_13 is an astronaut. For all x, if x_13 plays tennis, then x_13 is writing a letter. Therefore there is at least one x for which x_13 will drive a car and x_13 will write a letter.
forall x: P(x) -> Q(x). forall x: R(x) and S(x). exists x: T(x) or P(x). forall x: T(x) -> Q(x). Therefore exists x: R(x) and Q(x).