Require Export GeoCoq.Elements.OriginalProofs.lemma_congruenceflip.
Require Export GeoCoq.Elements.OriginalProofs.lemma_lessthancongruence.
Require Export GeoCoq.Elements.OriginalProofs.lemma_lessthancongruence2.
Section Euclid.
Context `{Ax:euclidean_neutral_ruler_compass}.

Lemma lemma_TGflip :
forall A B C a b c,
TG A a B b C c ->
TG a A B b C c /\ TG A a B b c C.