Environments

In a similar way as content-based tags, environments are used to mark portions of text with a special meaning. However, while content-based tags usually enclose small portions of text, environments often enclose portions that are several paragraphs long. Frequently used environments in mathematics are theorem and proof, like in the example below:

Theorem 1. There exist no positive integers a, b, c and n with n⩾3, such that an + bn = cn.

Proof. I do not have room here to write the proof down.

You may enter environments using TextEnvironment. Other environments with a similar rendering as theorems are proposition, lemma, corollary, axiom, definition. You may use the dueto macro (entered using \ d u e t o return) in order to specify the person(s) to which the theorem is due, like in

Theorem 2. (Pythagoras) Under nice circumstances, we have a2 + b2 = c2.

Other frequently used environments with a similar rendering as theorems, but which do not emphasize the enclosed text, are remark, note, example, warning, exercise and problem. The remaining environments verbatim, code, quote, quotation and verse can be used in order to enter multiparagraph text or code, quotations or poetry.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.1 or any later version published by the Free Software Foundation; with no Invariant Sections, with no Front-Cover Texts, and with no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License".