(************************************************************************)
(*         *      The Rocq Prover / The Rocq Development Team           *)
(*  v      *         Copyright INRIA, CNRS and contributors             *)
(* <O___,, * (see version control and CREDITS file for authors & dates) *)
(*   \VV/  **************************************************************)
(*    //   *    This file is distributed under the terms of the         *)
(*         *     GNU Lesser General Public License Version 2.1          *)
(*         *     (see LICENSE file for the text of the license)         *)
(************************************************************************)
(** * HexadecimalR  Proofs that conversions between hexadecimal numbers and [R] are bijections. *)

Lemma of_IQmake_to_hexadecimal num den :
match IQmake_to_hexadecimal num den with
| None => True
| Some (HexadecimalExp _ _ _) => False
| Some (Hexadecimal i f) =>
of_hexadecimal (Hexadecimal i f) = IRQ (QArith_base.Qmake num den)
end.