proposition: Lemma lower_dim : ~ (BetT beeson_s_axioms.PA beeson_s_axioms.PB beeson_s_axioms.PC \/ BetT beeson_s_axioms.PB beeson_s_axioms.PC beeson_s_axioms.PA \/ BetT beeson_s_axioms.PC beeson_s_axioms.PA beeson_s_axioms.PB).
proof: Proof. assert (T:=Ilower_dim). unfold BetT in *. unfold ICol in *. unfold IT in *. firstorder using Ibetween_symmetry. Qed.
imports: GeoCoq.Axioms.beeson_s_axioms GeoCoq.Axioms.tarski_axioms Classical