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).
(****************** between_identity ************************)
(************************************************************)

Lemma point3_online_exists : forall A B l, IncidL A l -> IncidL B l -> exists C, IncidL C l  /\ C <> A /\ C <> B.