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Viewing Version 3 of 'Bezout's lemma'
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Title of object: Bezout's lemma
Canonical Name: BezoutsLemma
Type: Theorem

Created on: 2002-05-27 16:29:04-04
Modified on: 2002-05-28 09:30:00-04

Creator: mathwizard
Modifier: mathwizard
Author: mathwizard

Classification: msc:11A05

Preamble:

% this is the default PlanetMath preamble. as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.
% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%\usepackage{xypic}
% there are many more packages, add them here as you need them
% define commands here
Content:

Let $a,b$ be integers, not both zero. Then there exist two integers $x,y$ such that:
$$ax+by=\gcd(a,b).$$