60A99-BooleInequality.tex

\documentclass[12pt]{article}
\usepackage{pmmeta}
\pmcanonicalname{BooleInequality}
\pmcreated{2013-03-22 15:45:07}
\pmmodified{2013-03-22 15:45:07}
\pmowner{georgiosl}{7242}
\pmmodifier{georgiosl}{7242}
\pmtitle{Boole inequality}
\pmrecord{4}{37705}
\pmprivacy{1}
\pmauthor{georgiosl}{7242}
\pmtype{Theorem}
\pmcomment{trigger rebuild}
\pmclassification{msc}{60A99}

\endmetadata

% 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
\begin{document}
Let $(\Omega,\mathcal{F},P)$ be a probability space and $\{A_1, A_2,\cdots \}$ be a sequence of events 
such that  $\{A_1, A_2,\cdots \} \subset \mathcal{F} $. Then
 $$P(\bigcup_{n=1}^\infty A_n)\leq \sum_{n=1}^{\infty}P(A_n).$$
%%%%%
%%%%%
\end{document}