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(*         *      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)         *)
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(*i Due to L.Thery i*)
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(* Definitions of log and Rpower : R->R->R; main properties *)
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Local Open Scope R_scope.
Definition P_Rmin_stt (P:R -> Prop) x y := Rmin_case x y P.
#[deprecated(since="8.16", note="Use Rmin_case instead.")]
Notation P_Rmin := P_Rmin_stt.

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Lemma ln_exists : forall y:R, 0 < y -> { z:R | y = exp z }.
Definition Rln (y:posreal) : R :=
let (a,_) := ln_exists (pos y) (cond_pos y) in a.