Require Export GeoCoq.Elements.OriginalProofs.lemma_crossbar.
Require Export GeoCoq.Elements.OriginalProofs.lemma_equalanglesreflexive.
Require Export GeoCoq.Elements.OriginalProofs.lemma_sameside2.
Require Export GeoCoq.Elements.OriginalProofs.proposition_07.
Section Euclid.
Context `{Ax:euclidean_neutral_ruler_compass}.

Lemma lemma_crossbar2 :
forall A G H P S T,
LtA H G A H G P -> OS A P G H -> Out G H S -> Out G P T ->
exists X, BetS T X S /\ Out G A X.