Section 3.20 Mathematical Results
Definitions, theorems, corollaries, etc. are supported by the tags:
<theorem>
, <corollary>
, <lemma>
, <algorithm>
, <proposition>
, <claim>
, <fact>
, <definition>
, <conjecture>
, <axiom>
, and <principle>
. Each may have a <title>
(strongly encouraged), and then contains a <statement>
which is a sequence of paragraphs and other elements. As appropriate, some of these elements (such as a <lemma>
) may contain an optional <proof>
(or several), while other elements may not have a <proof>
(such as a <conjecture>
).A
<definition>
is a natural place to define notation as well (see Section 3.23), and to use the <term>
tag to identify the terminology being defined.In order to assist readers locating numbered items, these items are all numbered consecutively in a group that includes
<example>
s, <remark>
s and inline <exercise>
s.