(************************************************************************)
(*         *      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.
Local Ltac Tauto.intuition_solver ::= auto with rorders real arith.
(*********************************************************)
(** * Preliminaries                                      *)
(*********************************************************)
(** ** Various generic lemmas which probably should go somewhere else *)

Lemma Boule_half_to_interval : forall x,
Boule (/2) posreal_half x -> 0 <= x <= 1.