Section HilbertContext_2.
Context `{Hi:Hilbert_neutral_dimensionless}.

Lemma not_cut3 : forall A B C l p,
IncidP A p -> IncidP B p -> IncidP C p -> IncidLP l p ->
~ IncidL A l -> ~ ColH A B C -> ~ cut l A B -> ~ cut l A C ->
~ cut l B C.