Section HilbertContext_2.
Context `{Hi:Hilbert_neutral_dimensionless}.

Lemma cong_existence' : forall A B l M,
A <> B ->
IncidL M l ->
exists A' B', IncidL A' l /\ IncidL B' l /\ BetH A' M B' /\ CongH M A' A B /\ CongH M B' A B.