fact: Definition Bet (A B C : Point) := match A, B, C with | P0, P0, P0 | P0, P0, P1 | P0, P0, P2 | P0, P1, P2 | P0, P2, P2 | P1, P0, P0 | P1, P1, P1 | P1, P2, P2 | P2, P0, P0 | P2, P1, P0 | P2, P2, P0 | P2, P2, P1 | P2, P2, P2 => True | _ , _ , _ => False end.
imports: GeoCoq.Meta_theory.Counter_models.Planar.independence