Require Export GeoCoq.Elements.OriginalProofs.lemma_congruenceflip.
Require Export GeoCoq.Elements.OriginalProofs.lemma_partnotequalwhole.
Section Euclid.
Context `{Ax1:euclidean_neutral_ruler_compass}.

Lemma proposition_01 :
forall A B,
neq A B ->
exists X, equilateral A B X /\ Triangle A B X.