From 9043add656177eeac1491a73d2f3ab92bec0013c Mon Sep 17 00:00:00 2001
From: Benjamin Barenblat <bbaren@debian.org>
Date: Sat, 29 Dec 2018 14:31:27 -0500
Subject: Imported Upstream version 8.8.2

---
 theories/Numbers/Cyclic/ZModulo/ZModulo.v | 17 ++++++++++-------
 1 file changed, 10 insertions(+), 7 deletions(-)

(limited to 'theories/Numbers/Cyclic/ZModulo/ZModulo.v')

diff --git a/theories/Numbers/Cyclic/ZModulo/ZModulo.v b/theories/Numbers/Cyclic/ZModulo/ZModulo.v
index 04fc5a8d..784e8175 100644
--- a/theories/Numbers/Cyclic/ZModulo/ZModulo.v
+++ b/theories/Numbers/Cyclic/ZModulo/ZModulo.v
@@ -1,9 +1,11 @@
 (************************************************************************)
-(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
-(* <O___,, *   INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016     *)
+(*         *   The Coq Proof Assistant / The Coq Development Team       *)
+(*  v      *   INRIA, CNRS and contributors - Copyright 1999-2018       *)
+(* <O___,, *       (see CREDITS file for the list of authors)           *)
 (*   \VV/  **************************************************************)
-(*    //   *      This file is distributed under the terms of the       *)
-(*         *       GNU Lesser General Public License Version 2.1        *)
+(*    //   *    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)         *)
 (************************************************************************)
 
 (** * Type [Z] viewed modulo a particular constant corresponds to [Z/nZ]
@@ -18,7 +20,7 @@ Set Implicit Arguments.
 Require Import Bool.
 Require Import ZArith.
 Require Import Znumtheory.
-Require Import BigNumPrelude.
+Require Import Zpow_facts.
 Require Import DoubleType.
 Require Import CyclicAxioms.
 
@@ -48,13 +50,14 @@ Section ZModulo.
 
  Lemma spec_more_than_1_digit: 1 < Zpos digits.
  Proof.
-  generalize digits_ne_1; destruct digits; auto.
+  generalize digits_ne_1; destruct digits; red; auto.
   destruct 1; auto.
  Qed.
  Let digits_gt_1 := spec_more_than_1_digit.
 
  Lemma wB_pos : wB > 0.
  Proof.
+  apply Z.lt_gt.
   unfold wB, base; auto with zarith.
  Qed.
  Hint Resolve wB_pos.
@@ -558,7 +561,7 @@ Section ZModulo.
  apply Zmod_small.
  generalize (Z_mod_lt [|w|] (2 ^ [|p|])); intros.
  split.
- destruct H; auto with zarith.
+ destruct H; auto using Z.lt_gt with zarith.
  apply Z.le_lt_trans with [|w|]; auto with zarith.
  apply Zmod_le; auto with zarith.
  Qed.
-- 
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