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. *)

Lemma bet_inc2__incs : forall O P U V X,
X <> U -> X <> V -> Bet U X V ->
InCircle U O P -> InCircle V O P ->
InCircleS X O P.