Require Export GeoCoq.Elements.OriginalProofs.proposition_01.
Require Export GeoCoq.Elements.OriginalProofs.lemma_congruenceflip.
Require Export GeoCoq.Elements.OriginalProofs.lemma_NCdistinct.
Require Export GeoCoq.Elements.OriginalProofs.lemma_differenceofparts.
Section Euclid.
Context `{Ax:euclidean_neutral_ruler_compass}.

Lemma proposition_02 :
forall A B C,
neq A B -> neq B C ->
exists X, Cong A X B C.