Require Export GeoCoq.Elements.OriginalProofs.proposition_34.
Require Export GeoCoq.Elements.OriginalProofs.lemma_parallelNC.
Require Export GeoCoq.Elements.OriginalProofs.lemma_NCdistinct.
Section Euclid.
Context `{Ax1:euclidean_euclidean}.

Lemma lemma_35helper :
forall A B C D E F,
PG A B C D -> PG E B C F -> BetS A D F -> Col A E F ->
BetS A E F.