Section Suma_2.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.
(** ABC <= ABC + DEF. *)
(** DEF <= ABC + DEF. *)
(** LeA preserves SAMS. *)
(** SumA preserves LeA. *)

Lemma sams_lea2_suma2__lea : forall A B C D E F G H I A' B' C' D' E' F' G' H' I',
LeA A B C A' B' C' -> LeA D E F D' E' F' -> SAMS A' B' C' D' E' F' ->
SumA A B C D E F G H I -> SumA A' B' C' D' E' F' G' H' I' -> LeA G H I G' H' I'.