Section Grid.
Variable O E E' : Tpoint.
Variable grid_ok : ~ Col O E E'.
(** We are not faithful to Tarski's def because for uniqueness we do not need the assumption that A and B are on line OE as it is implied by the definition of sum. *)
End Grid.
(** Lemma 14.13 *)
(** Parallel projection on the second axis preserves sums. *)

(** Lemma 14.14 *)
Lemma sum_assoc_1 : forall O E E' A B C AB BC ABC,
Sum O E E' A B AB -> Sum O E E' B C BC -> Sum O E E' A BC ABC ->
Sum O E E' AB C ABC.