Translate the following inference to logic notation: For all x, if x_8 were an astronaut, then x_8 is a soldier. For all x, if x_8 were a soldier, then x_8 is an astronaut. For all x, if x_8 were an astronaut, then x_8 is a soldier. Therefore if Thomas were a soldier, then Thomas is an astronaut.
forall x: P(x) -> Q(x). forall x: Q(x) -> P(x). forall x: P(x) -> Q(x). Therefore Q(a) -> P(a).