Require Export GeoCoq.Tarski_dev.Ch13_1.
Require Export GeoCoq.Highschool.triangles.
Section Bisector.
Context `{TE:Tarski_euclidean}.
(** Existence of the interior bisector of an angle. *)

Lemma bisector_existence : forall A B C,  A <> B -> B <> C ->
exists E,  InAngle E A B C /\ CongA A B E E B C.