Section Circle_2.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.
(** If a point is strictly inside a segment of a disk, it is strictly inside the circle. *)
(** If A and B are two points inside the circle, then all points on the segment AB are also in the circle, i.e. a circle is a convex figure. *)

Lemma bet_inc2__inc : forall A B U V P, InCircle U A B -> InCircle V A B -> Bet U P V ->
InCircle P A B.