I have a file with the contents:

Proof:
  If S_{1} and S_{2} are finite sets with |S_{1}| = n and |S_{2}| = m,
then |S_{0} U S_{2}| <= n + m


C-c C-p C-d to obtain a preview of the document fails with the following output:

Running `Preview-LaTeX' on `proof' with ``latex
"\nonstopmode\nofiles\PassOptionsToPackage{active,tightpage,auctex}{preview}\AtBeginDocument{\ifx\ifPreview\undefined\RequirePackage[displaymath,floats,graphics,textmath,sections,footnotes]{preview}[2004/11/05]\fi}"
"\input" proof.tex''
This is pdfTeX, Version 3.1415926-2.4-1.40.13 (TeX Live 2012/Debian)
 restricted \write18 enabled.
entering extended mode
LaTeX2e <2011/06/27>
Babel <v3.8m> and hyphenation patterns for english, dumylang, nohyphenation, lo
aded.

No auxiliary output files.

(./proof.tex

! LaTeX Error: Missing \begin{document}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...

l.1 P
     roof:
! Missing $ inserted.
<inserted text>
                $
l.2   If S_
           {1} and S_{2} are finite sets with |S_{1}| = n and |S_{2}| = m, t...

)
! Emergency stop.
<*> ...]{preview}[2004/11/05]\fi} \input proof.tex

No pages of output.
Transcript written on proof.log.

Preview-LaTeX exited as expected with code 1 at Sun Feb  3 12:40:05
LaTeX: LaTeX found no preview images


Would someone be willing to help me decipher this and obtain a LaTeX
preview of the document?

--
Heath Matlock
+1 256 274 4225

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