Require Export GeoCoq.Axioms.tarski_axioms.
Section segment_construction_independent.
Inductive Point :=
P0.
Definition Bet (A B C : Point) := False.
Definition Cong (A B C D : Point) := True.

Lemma lower_dim : exists A, exists B, exists C, ~ (Bet A B C \/ Bet B C A \/ Bet C A B).