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 not_segment_construction : ~ (forall A B C D,
exists E, Bet A B E /\ Cong B E C D).