diff --git a/ana14.pdf b/ana14.pdf
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diff --git a/ana14.tex b/ana14.tex
index 5790ffb..a4f75c1 100644
--- a/ana14.tex
+++ b/ana14.tex
@@ -304,6 +304,26 @@ Fragestellung: Sei $f \colon D\subset \R^n \to \R^n$. Existiert die Umkehrabbild
 \end{satz}
 \begin{proof}
     Sei $\hat x \in D$ und $\hat y \coloneqq f(\hat x)\in f(D)$.
+    \begin{figure}
+        \centering
+        \begin{tikzpicture}
+            \coordinate (x) at (-.5,-.5);
+            \coordinate (y) at (5.5,-.5);
+            \draw[color = black] (0,0) circle (2cm);
+            \node at (0,1.5) {$D$};
+            \draw[thick, color = red] (x) circle (1cm);
+            \draw[color = blue, fill = blue!20!white] (-.5,-.5) circle (.7cm);
+            \node[color = red] at (1,0) {$U(\hat x)$};
+            \draw[->] (2,0) -- node[pos = 0.6, above] {$f$} (4,0);
+            \draw[color = black] (6,0) circle (2cm);
+            \node at (6,1.5) {$f(D)$};
+            \draw[thick, color = red, fill = blue!20!white] (y) circle (1cm);
+            \node[color = red] at (7,0) {$U(\hat y)$};
+            \node[color = blue] at (-.6,-.2) {$V(\hat x)$};
+            \node [fill=black,inner sep=1pt,circle,label=-45:$\hat x$] at (x) {};
+            \node [fill=black,inner sep=1pt,circle,label=0:$\hat y$] at (y) {};
+        \end{tikzpicture}
+    \end{figure}
     Betrachte $F \colon \R^n \times D \to \R^n, F(y,x) = y-f(x)$. Für $(\hat x, \hat y)$ gilt $F(\hat y, \hat x) = 0$. Die Jacobimatrix $D_xF(y,x) = -J_f(x)$ ist regulär in $\hat x$. Mit Vertauschung von $x$ und $y$ folgt aus dem Satz über implizite Funktionen, dass Umgebungen $U(\hat y)$, $U(\hat x)$ und genau eine stetig differenzierbare Abbildung $g:U(\hat y) \to U(\hat x)$ existieren, sodass $\forall y \in U(\hat y)$
     \[
         0 = F(y,g(y)) = y-f(g(y)), \implies \exists! x = g(y)\in U(\hat x) \text{ mit } y= f(x)
diff --git a/analysisII.pdf b/analysisII.pdf
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