Rademacher's theorem RademachersTheorem 2003-03-25 12:01:31 2007-06-29 03:56:58 Theorem % 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 Let $f\colon \mathbb R^n\to \mathbb R$ be any Lipschitz continuous function. Then $f$ is differentiable in almost every $x\in\mathbb R^n$.