Section Order.
Context `{T2D:Tarski_2D}.
Context `{TE:@Tarski_euclidean Tn TnEQD}.
(* sum_preserves leP : a <= x /\ b <= y => a + b <= x + y *)
(** Lemma 14.40 states that we have an ordered field. *)

Lemma col_2_le_or_ge : forall O E E' A B,
~ Col O E E' -> Col O E A -> Col O E B -> LeP O E E' A B \/ LeP O E E' B A.