Matthias Hoffmann schrieb:

But I have a problem with Theorems (AMS enhanced). If I write a assumption I can see "Annahme"- wich means assumption in German at Lyx, but as soon as I create a .pdf of it there is "assumption" written in this pdf.

You need to translate these terms manually for the output. How this is done is 
described in
http://wiki.lyx.org/LyX/I18nLabels

(In the next major LyX version these translations will be done automatically.)

regards Uwe

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