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

Lemma proposition_03 :
forall A B C D E F,
Lt C D A B -> Cong E F A B ->
exists X, BetS E X F /\ Cong E X C D.