Section Saccheri.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.
(** The two following lemmas come from Theorem 21.10 *)
(** The five following lemmas come from Theorem 21.8 *)
(** The two following lemmas constitute Theorem 21.11 *)
(** The four following constitute Theorem 22.3 *)
(** The six following lemmas constitute Theorem 22.5 *)
(** The three following lemmas constitute Omar Khayyam's Theorem (22.6) *)

Lemma t22_9_aux : forall N M P Q R S,
Lambert N M P Q -> Lambert N M R S ->
Bet M P R -> Bet N Q S ->
(Per S R M <-> Per Q P M) /\ (Acute S R M <-> Acute Q P M).