Section T16.
Context `{T2D:Tarski_2D}.
Context `{TE:@Tarski_euclidean Tn TnEQD}.
(** Lemma 16.2 in dimension 2. *)
(** As we are in dimension 2, we skip 16.3 which is only needed to prove 16.4 in dimension n. *)

Lemma point_of_coordinates : forall O E S U1 U2 X Y,
Cs O E S U1 U2 -> Col O E X -> Col O E Y -> exists P, Cd O E S U1 U2 P X Y.