(** This development is inspired by The Foundations of Geometry and the Non-Euclidean Plane, by George E Martin, chapter 22 *)
Section Archimedes.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.

(** For every n, 2^n times B0C0 is lower than or equal to BnCn *)
(** B0 is introduced twice for the induction tactic to work properly *)
Lemma t22_24_aux :
~ hypothesis_of_obtuse_saccheri_quadrilaterals ->
forall A B0 B00 C0 B C E,
~ Col A B0 C0 -> Perp A C0 B0 C0 -> B0 = B00 ->
GradExp2 A B0 B B00 C0 E -> Perp A C0 B C -> Col A C0 C ->
Le B0 E B C.