Require Export GeoCoq.Tarski_dev.Ch11_angles.
Section Suma_1.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.

(* Specifications: *)
Lemma suma_distincts : forall A B C D E F G H I, SumA A B C D E F G H I ->
A<>B /\ B<>C /\ D<>E /\ E<>F /\ G<>H /\ H<>I.
Lemma trisuma_distincts : forall A B C D E F, TriSumA A B C D E F ->
A <> B /\ B <> C /\ A <> C /\ D <> E /\ E <> F.
Lemma ex_suma : forall A B C D E F, A<>B -> B<>C -> D<>E -> E<>F ->
exists G H I, SumA A B C D E F G H I.