(************************************************************************)
(*         *      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.
(** * Preliminaries lemmas *)

Lemma derivable_pt_id_interv : forall (lb ub x:R),
lb <= x <= ub ->
derivable_pt id x.