The short answer is "no". But how you do it depends on your stylesheet. In the first place you're talking about a contextual selector div.asdf div (i.e. a div with no class inside a div with a class of asdf). You could save yourself some "cloning" by combining the definitions of body and div.asdf div, but you'll have to explicitly spell out what would otherwise be defaults:

body, div.asdf div {
    font-style: normal;
    font-weight: normal;
    font-size:medium;
}

div.asdf {
    font-style: italic;
    font-weight: bold;
    font-size: large;
}