(** The prove the former version of lower dimension axiom for compatibility. *)

(* Specifications: *)
Lemma lower_dim_ex : exists A B C,
~ (Bet A B C \/ Bet B C A \/ Bet C A B).
Lemma two_distinct_points : exists X, exists Y: Tpoint, X <> Y.
Lemma point_construction_different : forall A B, exists C, Bet A B C /\ B <> C.
Lemma another_point : forall A: Tpoint, exists B, A<>B.
End T2_4.