(************************************************************************)
(*         *      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)         *)
(************************************************************************)
Local Open Scope R_scope.
(****************************************************)
(** Rsqr : some results                             *)
(****************************************************)
Ltac ring_Rsqr := unfold Rsqr; ring.

Lemma Rsqr_incrst_0 :
forall x y:R, Rsqr x < Rsqr y -> 0 <= x -> 0 <= y -> x < y.