Require Export GeoCoq.Elements.OriginalProofs.proposition_01.
Require Export GeoCoq.Elements.OriginalProofs.proposition_03.
Require Export GeoCoq.Elements.OriginalProofs.lemma_interior5.
Require Export GeoCoq.Elements.OriginalProofs.lemma_twolines.
Section Euclid.
Context `{Ax:euclidean_neutral_ruler_compass}.

Lemma proposition_10 :
forall A B,
neq A B ->
exists X, BetS A X B /\ Cong X A X B.