Stupid AUCTeX Master File Question

[Justin]

I'm new to doing multifile input with LaTeX and seem to be having
trouble telling AUCTeX about the master file?
I've got a file called main.tex which includes some header commands,
particularly the following:
    \newtheorem{thm}{Theorem}[section]
    \newtheorem{cor}[thm]{Corollary}
    \newtheorem{lem}[thm]{Lemma}
    \newtheorem{claim}[thm]{Claim}
    \newtheorem{notn}[thm]{Notation}
    \newtheorem{prop}[thm]{Proposition}


   \begin{document}
   \include{going-up}
   \end{document}

It's also got a "file variable" at the end:

%%% Local Variables:
%%% mode: latex
%%% TeX-master: t
%%% End:

i want to use these theorem environments in "going-up.tex".  When I
open it up, I tell it that main.tex is the master -file (there's a
file variable there too, but I've also used TeX-master-ask).  But C-c
C-e doesn't pick up the theorem environments, even though it does in
main.tex.

I've looked at the documentation but haven't been able to figure this
out - any help appreciated.

Thanks,
Justin Brody