Require Export GeoCoq.Elements.OriginalProofs.proposition_19.
Require Export GeoCoq.Elements.OriginalProofs.lemma_lessthancongruence2.
Section Euclid.
Context `{Ax1:euclidean_neutral_ruler_compass}.

Lemma lemma_legsmallerhypotenuse :
forall A B C,
Per A B C ->
Lt A B A C /\ Lt B C A C.