Section similar_rah.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.
(** This is an adaptation of the proof of Martin's Theorem 23.6. It is more complicated because Martin use the properties of the deflect of a triangle, which are difficult to handle in our formalization. *)

(* Specifications: *)
Lemma similar__rah_aux : forall A B C D E F,
~ Col A B C -> CongA A B C D E F -> CongA B C A E F D -> CongA C A B F D E ->
LeA B C A A B C -> Lt D E A B -> postulate_of_right_saccheri_quadrilaterals.
Lemma similar__rah : postulate_of_existence_of_similar_triangles -> postulate_of_right_saccheri_quadrilaterals.
End similar_rah.