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. *)

Lemma sum_uniquenessA : forall B X Y C, Sum O E E' X B C -> Sum O E E' Y B C -> X = Y.