It is one of the advantages of Sigil is that whatever you create will be valid. It will zip up the epub in the appropriate order too.
You might give it a try, it makes epub creation much easier and you can shell out to your favorite editor by right clicking to open with.
In this case, you would have right clicked on the styles folder, create new spreadsheet and it would have been properly named. When you created your various sections, you just select them and right click to link stylesheets. Just that easy.
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