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I would like to produce a new theorem style such that the text in the body is 10pt, instead of 11pt (size of the document).

I tried adding 10pt for the body font, but does not compile:

\newtheoremstyle{note}  % Name
{3pt}       % Space above 
{3pt}       % Space below
{10pt}      % Body font
{}          % Indent amount 
{\scshape}  % Theorem head font
{.}         % Punctuation after theorem head
{.5em}      % Space after theorem head
{}          % Theorem head spec
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up vote 2 down vote accepted

Use \small instead. In \documentclass[11pt], \small defaults to 10pt; what you're after.

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