Section HilbertContext_2D.
Context `{H2D : Hilbert_neutral_2D}.

Lemma upper_dim : forall A B C P Q,
P <> Q -> A <> B -> A <> C -> B <> C ->
Cong A P A Q -> Cong B P B Q -> Cong C P C Q ->
(Bet A B C \/ Bet B C A \/ Bet C A B).