Stating definitions and theorems
In rigorously structured mathematical documents, specific textual components, such as definitions, theorems, lemmas, examples, and remarks are often numbered for effective cross-referencing. This structured approach is prevalent in self-contained scientific works such as theses.
For example, let’s create a definition, a theorem along with its proof, a lemma, and an additional note. All of these elements will be automatically numbered to facilitate cross-referencing. Let’s apply this to the Pythagorean theorem we know from school geometry.
How to do it...
We’ll continue utilizing the amsmath package, specifically a part of it, the amsthm package. Here are the steps to follow:
- As usual, start with a document class. For our recipe, the article class is sufficient:
\documentclass{article} - Load the amsmath and amsthm packages:
\usepackage{amsmath} \usepackage{amsthm} - Define a theorem environment with the internal...