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Latex typing in topological definition

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Theorems and proofs Mathematical documents include elements that require special formatting and numbering such as theorems, definitions, propositions, remarks, corollaries, lemmas and so on. This article explains how to define these environments in   L A T E X . Contents 1   Introduction 2   Numbered theorems, definitions, corollaries and lemmas 3   Unnumbered theorem-like environments 4   Theorem styles 5   Proofs 6   Changing the qed symbol 7   Reference guide 8   Further reading Introduction Numbered environments in   L A T E X   can be defined by means of the command   \newtheorem . An example is presented below: \documentclass { article } \usepackage [utf8] { inputenc } \usepackage [english] { babel } \newtheorem { theorem }{ Theorem } \begin { document } \section { Introduction } Theorems can easily be defined \begin { theorem } Let $ f $ be a function whose derivative exists i...