proposition: Lemma lea123456_lta__lta : forall A B C D E F G H I, LeA A B C D E F -> LtA D E F G H I -> LtA A B C G H I.
proof: Proof. intros A B C D E F G H I Hlea Hlta. split. - apply (lea_trans _ _ _ D E F). assumption. apply lta__lea; assumption. - intro. destruct Hlta as [Hlea' HNConga]. apply HNConga. apply lea_asym. assumption. apply (l11_30 A B C D E F); auto. apply lea_distincts in Hlea. spliter. apply conga_refl; assumption. Qed.
imports: GeoCoq.Tarski_dev.Ch10_line_reflexivity_2