Require Export GeoCoq.Elements.OriginalProofs.proposition_10.
Require Export GeoCoq.Elements.OriginalProofs.lemma_rightreverse.
Require Export GeoCoq.Elements.OriginalProofs.lemma_collinearright.
Require Export GeoCoq.Elements.OriginalProofs.lemma_pointreflectionisometry.
Section Euclid.
Context `{Ax:euclidean_neutral_ruler_compass}.

Lemma lemma_linereflectionisometry :
forall A B C D E F,
Per B A C -> Per A B D -> BetS C A E -> BetS D B F -> Cong A C A E -> Cong B D B F ->
Cong C D E F.