(* Lemma triangle_circumscription_aux : forall A B C P, Cong A P B P -> Cong A P C P -> exists CC, Cong A CC B CC /\ Cong A CC C CC /\ Coplanar A B C CC. *)

Lemma triangle_circumscription_implies_tarski_s_euclid :
triangle_circumscription_principle ->
tarski_s_parallel_postulate.