Section HilbertContext_2.
Context `{Hi:Hilbert_neutral_dimensionless}.
Definition Cong A B C D := (CongH A B C D /\ A <> B /\ C <> D) \/ (A = B /\ C = D).

Lemma betH_to_bet : forall A B C , BetH A B C -> Bet A B C /\ A <> B /\ B <> C /\ A <> C.