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type:name_with_underscores, e.g. def:matrix_product, fig:what_ever types: def,lem,thm,prop,fig,clm, eq, al(align), tbl
Use inkscape or the tikz package for all of your images! You might consider using GraphViz, too!
For theorems, props, lemmas etc, just use Theorem \ref, so it gives you: Theorem 2.1, Lemma 4.2\n
For sections, undersections etc, just use Section \ref, so it gives you: Section 4.2, Subsection 4.4.3\n
For equations, whether they have a name or not (Campbell's Theorem), use \eqref w/o anything else, so it gives you: as in (12),\n
as in Campbell's Theorem (23)\n
For figures, use Figure \ref so it gives you Figure 1\n
If you have multiple figures in one, they have to be indexed alphabetically, e.g. 1a), 3d) etc.\n
For tables, use Table \ref so it gives you Table 2