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

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