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_7__per : forall A B C D P Q,
Saccheri A B C D ->
Bet B P C -> Bet A Q D ->
A <> Q -> Q <> D ->
Per P Q A ->
Cong P Q A B ->
Per A B C.