Require Export GeoCoq.Elements.OriginalProofs.lemma_raystrict.
Require Export GeoCoq.Elements.OriginalProofs.lemma_collinear4.
Require Export GeoCoq.Elements.OriginalProofs.lemma_lessthancongruence.
Section Euclid.
Context `{Ax:euclidean_neutral_ruler_compass}.

(* Specifications: *)
Lemma lemma_crossbar :
forall A B C E U V,
Triangle A B C -> BetS A E C -> Out B A U -> Out B C V ->
exists X, Out B E X /\ BetS U X V.