Require Export GeoCoq.Elements.OriginalProofs.lemma_inequalitysymmetric.
Section Euclid.
Context `{Ax1:euclidean_neutral}.

Lemma lemma_NCdistinct :
forall A B C,
nCol A B C ->
neq A B /\ neq B C /\ neq A C /\ neq B A /\ neq C B /\ neq C A.