Translate the following inference to logic notation: For all x, x_8 is a soldier if and only if x_8 is a musician. There is at least one x for which x_8 is a musician if and only if x_8 is a soldier. Therefore there is at least one x for which x_8 is a musician if and only if x_8 is a soldier.
forall x: P(x) <-> Q(x). exists x: Q(x) <-> P(x). Therefore exists x: Q(x) <-> P(x).