diff options
author | Stephane Glondu <steph@glondu.net> | 2012-01-12 16:02:20 +0100 |
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committer | Stephane Glondu <steph@glondu.net> | 2012-01-12 16:02:20 +0100 |
commit | 97fefe1fcca363a1317e066e7f4b99b9c1e9987b (patch) | |
tree | 97ec6b7d831cc5fb66328b0c63a11db1cbb2f158 /theories/Reals/Alembert.v | |
parent | 300293c119981054c95182a90c829058530a6b6f (diff) |
Imported Upstream version 8.4~betaupstream/8.4_beta
Diffstat (limited to 'theories/Reals/Alembert.v')
-rw-r--r-- | theories/Reals/Alembert.v | 8 |
1 files changed, 3 insertions, 5 deletions
diff --git a/theories/Reals/Alembert.v b/theories/Reals/Alembert.v index 092eafa3..18612a68 100644 --- a/theories/Reals/Alembert.v +++ b/theories/Reals/Alembert.v @@ -1,13 +1,11 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Alembert.v 14641 2011-11-06 11:59:10Z herbelin $ i*) - Require Import Rbase. Require Import Rfunctions. Require Import Rseries. @@ -109,7 +107,7 @@ Proof. symmetry in |- *; apply tech2; assumption. exists (sum_f_R0 An 0); unfold EUn in |- *; exists 0%nat; reflexivity. intro X; elim X; intros. - exists x; apply tech10; + exists x; apply Un_cv_crit_lub; [ unfold Un_growing in |- *; intro; rewrite tech5; pattern (sum_f_R0 An n) at 1 in |- *; rewrite <- Rplus_0_r; apply Rplus_le_compat_l; left; apply H @@ -524,7 +522,7 @@ Proof. symmetry in |- *; apply tech2; assumption. exists (sum_f_R0 An 0); unfold EUn in |- *; exists 0%nat; reflexivity. intro X; elim X; intros. - exists x; apply tech10; + exists x; apply Un_cv_crit_lub; [ unfold Un_growing in |- *; intro; rewrite tech5; pattern (sum_f_R0 An n) at 1 in |- *; rewrite <- Rplus_0_r; apply Rplus_le_compat_l; left; apply H |