diff --git a/docs/loesungen.pdf b/docs/loesungen.pdf
index c2ea6e6..d3f1f1b 100644
Binary files a/docs/loesungen.pdf and b/docs/loesungen.pdf differ
diff --git a/docs/loesungen.tex b/docs/loesungen.tex
index 4c05f14..a80eb9f 100644
--- a/docs/loesungen.tex
+++ b/docs/loesungen.tex
@@ -3211,18 +3211,18 @@ Seien $X$, $Y$ nicht leere Mengen und ${f:X\to Y}$ eine Funktion.
 
                 \hraum
                 {\footnotesize
-                \begin{tikzpicture}[node distance=1.5cm, thick]
-                    \pgfmathsetmacro\habst{3}
-                    \pgfmathsetmacro\vabst{2}
+                \begin{tikzpicture}[node distance=1cm, thick]
+                    \pgfmathsetmacro\habst{1.5}
+                    \pgfmathsetmacro\vabst{1}
 
-                    \node[label=below:{$X$}]       (Set1)  at (0*\habst,0*\vabst)  {$\bullet$};
-                    \node[label=left:{$\{a,b\}$}] (SetAB) at (-1*\habst,1*\vabst) {$\bullet$};
-                    \node[label=above:{$\{a,c\}$}] (SetAC) at (0*\habst,1*\vabst)  {$\bullet$};
-                    \node[label=right:{$\{b,c\}$}] (SetBC) at (1*\habst,1*\vabst)  {$\bullet$};
-                    \node[label=left:{$\{a\}$}]   (SetA)  at (-1*\habst,2*\vabst) {$\bullet$};
-                    \node[label=below:{$\{b\}$}]   (SetB)  at (0*\habst,2*\vabst)  {$\bullet$};
-                    \node[label=right:{$\{c\}$}]   (SetC)  at (1*\habst,2*\vabst)  {$\bullet$};
-                    \node[label=above:{$\leer$}]   (Set0)  at (0*\habst,3*\vabst)  {$\bullet$};
+                    \node (Set1)  at (0*\habst,0*\vabst)  {$X$};
+                    \node (SetAB) at (-1*\habst,1*\vabst) {$\{a,b\}$};
+                    \node (SetAC) at (0*\habst,1*\vabst)  {$\{a,c\}$};
+                    \node (SetBC) at (1*\habst,1*\vabst)  {$\{b,c\}$};
+                    \node (SetA)  at (-1*\habst,2*\vabst) {$\{a\}$};
+                    \node (SetB)  at (0*\habst,2*\vabst)  {$\{b\}$};
+                    \node (SetC)  at (1*\habst,2*\vabst)  {$\{c\}$};
+                    \node (Set0)  at (0*\habst,3*\vabst)  {$\leer$};
 
                     \draw (Set1)  edge [->] (SetAB);
                     \draw (Set1)  edge [->] (SetAC);
@@ -3308,18 +3308,18 @@ Seien $X$, $Y$ nicht leere Mengen und ${f:X\to Y}$ eine Funktion.
 
         \hraum
         {\footnotesize
-        \begin{tikzpicture}[node distance=1.5cm, thick]
-            \pgfmathsetmacro\habst{3}
-            \pgfmathsetmacro\vabst{2}
+        \begin{tikzpicture}[node distance=1cm, thick]
+            \pgfmathsetmacro\habst{1.5}
+            \pgfmathsetmacro\vabst{1}
 
-            \node[label=above:{$C$}]       (Set1)  at (0*\habst,3*\vabst)  {$\bullet$};
-            \node[label=left:{$\{a,b\}$}] (SetAB) at (-1*\habst,2*\vabst) {$\bullet$};
-            \node[label=below:{$\{a,c\}$}] (SetAC) at (0*\habst,2*\vabst)  {$\bullet$};
-            \node[label=right:{$\{b,c\}$}] (SetBC) at (1*\habst,2*\vabst)  {$\bullet$};
-            \node[label=left:{$\{a\}$}]   (SetA)  at (-1*\habst,1*\vabst) {$\bullet$};
-            \node[label=above:{$\{b\}$}]   (SetB)  at (0*\habst,1*\vabst)  {$\bullet$};
-            \node[label=right:{$\{c\}$}]   (SetC)  at (1*\habst,1*\vabst)  {$\bullet$};
-            \node[label=below:{$\leer$}]   (Set0)  at (0*\habst,0*\vabst)  {$\bullet$};
+            \node (Set1)  at (0*\habst,3*\vabst)  {$C$};
+            \node (SetAB) at (-1*\habst,2*\vabst) {$\{a,b\}$};
+            \node (SetAC) at (0*\habst,2*\vabst)  {$\{a,c\}$};
+            \node (SetBC) at (1*\habst,2*\vabst)  {$\{b,c\}$};
+            \node (SetA)  at (-1*\habst,1*\vabst) {$\{a\}$};
+            \node (SetB)  at (0*\habst,1*\vabst)  {$\{b\}$};
+            \node (SetC)  at (1*\habst,1*\vabst)  {$\{c\}$};
+            \node (Set0)  at (0*\habst,0*\vabst)  {$\leer$};
 
             \draw (Set0)  edge [->] (SetA);
             \draw (Set0)  edge [->] (SetB);
@@ -3340,17 +3340,17 @@ Seien $X$, $Y$ nicht leere Mengen und ${f:X\to Y}$ eine Funktion.
 
         \hraum
         {\footnotesize
-        \begin{tikzpicture}[node distance=1.5cm, thick]
-            \pgfmathsetmacro\habst{3}
-            \pgfmathsetmacro\vabst{2}
+        \begin{tikzpicture}[node distance=1cm, thick]
+            \pgfmathsetmacro\habst{1.5}
+            \pgfmathsetmacro\vabst{1}
 
-            \node[label=above:{$C$}]       (Set1)  at (0*\habst,3*\vabst)  {$\bullet$};
-            \node[label=left:{$\{a,b\}$}] (SetAB) at (-1*\habst,2*\vabst) {$\bullet$};
-            \node[label=below:{$\{a,c\}$}] (SetAC) at (0*\habst,2*\vabst)  {$\bullet$};
-            \node[label=right:{$\{b,c\}$}] (SetBC) at (1*\habst,2*\vabst)  {$\bullet$};
-            \node[label=left:{$\{a\}$}]   (SetA)  at (-1*\habst,1*\vabst) {$\bullet$};
-            \node[label=above:{$\{b\}$}]   (SetB)  at (0*\habst,1*\vabst)  {$\bullet$};
-            \node[label=right:{$\{c\}$}]   (SetC)  at (1*\habst,1*\vabst)  {$\bullet$};
+            \node (Set1)  at (0*\habst,3*\vabst)  {$C$};
+            \node (SetAB) at (-1*\habst,2*\vabst) {$\{a,b\}$};
+            \node (SetAC) at (0*\habst,2*\vabst)  {$\{a,c\}$};
+            \node (SetBC) at (1*\habst,2*\vabst)  {$\{b,c\}$};
+            \node (SetA)  at (-1*\habst,1*\vabst) {$\{a\}$};
+            \node (SetB)  at (0*\habst,1*\vabst)  {$\{b\}$};
+            \node (SetC)  at (1*\habst,1*\vabst)  {$\{c\}$};
 
             \draw (SetA) edge [->] (SetAB);
             \draw (SetA) edge [->] (SetAC);