I. If the stars are close by then two people, A and B, would see a 50% distortion of constellations.
II. If the stars are far away then the distortion of the constellation would decrease
III. Literally all people around the hemisphere see the exact same star constellations
IV. Hence, the stars are too far away for parallax to distort the constellations
V. The stars are billions of km away from us
qed
