Can a tabcontainer inherit the style of the 'parent' tabcontainer?

I have a tabcontainer with its own CssClass, and it looks good. I added another TabBontainer inside a tabpanel of this "parent" TabContainer, also with its own CssClass, but apparently it's inheriting some of the properties of the 'parent' TabContainer. They're both separate controls (ie. one is not inheriting from the other).
Is this possible? How can I separate these two? If I separate them, they look good. This only happens when the tabcontainer is within a tabpanel of another tabcontainer.
Thanks.


...