diff --git a/docs/loesungen.pdf b/docs/loesungen.pdf
index c97082f..265a874 100644
Binary files a/docs/loesungen.pdf and b/docs/loesungen.pdf differ
diff --git a/docs/loesungen.tex b/docs/loesungen.tex
index 9c4d10b..2b14669 100644
--- a/docs/loesungen.tex
+++ b/docs/loesungen.tex
@@ -1353,13 +1353,13 @@
 \def\zeromatrix{\text{\upshape\bfseries 0}}
 \def\zerovector{\text{\upshape\bfseries 0}}
 
-\def\graph{\mathop{\text{\textup Gph}}}
-\def\domain{\mathop{\text{\textup dom}}}
-\def\range{\mathop{\text{\textup Bild}}}
+\def\graph{\mathop{\text{\upshape Gph}}}
+\def\domain{\mathop{\text{\upshape dom}}}
+\def\range{\mathop{\text{\upshape Bild}}}
 \def\ker{\mathop{\text{\upshape Kern}}}
-\def\functionspace{\mathop{\text{\textup Abb}}}
-\def\id{\text{\textup id}}
-\def\modfn{\mathop{\text{\textup mod}}}
+\def\functionspace{\mathop{\text{\upshape Abb}}}
+\def\id{\text{\upshape id}}
+\def\modfn{\mathop{\text{\upshape mod}}}
 \def\divides{\mathbin{\mid}}
 \def\ndivides{\mathbin{\nmid}}
 \def\ggT{\mathop{\text{\upshape ggT}}}