Translate the following inference to logic notation: For all x, if x_4 were an astronaut, then x_4 is an artist. For all x, if x_4 were an artist, then x_4 is a musician. If Patricia were a musician, then Patricia is an astronaut. Therefore if Patricia were an astronaut, then Patricia is a musician.
forall x: P(x) -> Q(x). forall x: Q(x) -> R(x). R(a) -> P(a). Therefore P(a) -> R(a).