diff options
author | Enrico Tassi <gareuselesinge@debian.org> | 2016-01-26 16:56:34 +0100 |
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committer | Enrico Tassi <gareuselesinge@debian.org> | 2016-01-26 16:56:34 +0100 |
commit | bb08c29807439697fa7c2045000dd3e17a9428b1 (patch) | |
tree | 9100a2dd5c2cb92ddd083cb052e236cdee6b9690 /theories/Numbers/Natural/Abstract/NDiv.v | |
parent | d55ac4014632489e3009a2a7351d018b3b2d27ac (diff) | |
parent | 164c6861860e6b52818c031f901ffeff91fca16a (diff) |
Merge tag 'upstream/8.5'
Upstream version 8.5
Diffstat (limited to 'theories/Numbers/Natural/Abstract/NDiv.v')
-rw-r--r-- | theories/Numbers/Natural/Abstract/NDiv.v | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/theories/Numbers/Natural/Abstract/NDiv.v b/theories/Numbers/Natural/Abstract/NDiv.v index fb68c139..84e1219e 100644 --- a/theories/Numbers/Natural/Abstract/NDiv.v +++ b/theories/Numbers/Natural/Abstract/NDiv.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -137,7 +137,7 @@ Proof. intros; apply mul_succ_div_gt; auto'. Qed. Lemma div_exact : forall a b, b~=0 -> (a == b*(a/b) <-> a mod b == 0). Proof. intros. apply div_exact; auto'. Qed. -(** Some additionnal inequalities about div. *) +(** Some additional inequalities about div. *) Theorem div_lt_upper_bound: forall a b q, b~=0 -> a < b*q -> a/b < q. |