Require Export GeoCoq.Tarski_dev.Ch12_parallel.
Require Export GeoCoq.Tarski_dev.Annexes.suma.
(** This development is inspired by The Foundations of Geometry and the Non-Euclidean Plane, by George E Martin, chapters 21 and 22 *)
Section Saccheri.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.

Lemma lta_os_per2__lt : forall A B C D,
Per B A D -> Per A D C ->
OS A D B C -> LtA B C D A B C ->
Lt A B C D.