Require Export GeoCoq.Elements.OriginalProofs.lemma_parallelNC.
Require Export GeoCoq.Elements.OriginalProofs.lemma_NCdistinct.
Require Export GeoCoq.Elements.OriginalProofs.lemma_NCorder.
Require Export GeoCoq.Elements.OriginalProofs.lemma_NChelper.
Section Euclid.
Context `{Ax:euclidean_neutral_ruler_compass}.

Lemma lemma_parallelbetween :
forall B H K L M,
BetS H B K -> Par M B H L -> Col L M K ->
BetS L M K.