I want to get a bent arrow from node A to node E, this is my code:

```
\usepackage{tikz-cd}
\usetikzlibrary{cd}
\usepackage{tikz}
\usetikzlibrary{positioning}

\begin{document}

\begin{center}
\begin{tikzpicture}

\node (E) at (0,0) {$T_V U$};
\node[right=of E] (F) {$U\times V$};
\node[below=of F] (A) {$U$};
\node [right=of F] (D) {};
\node [below=of D] (G) {$V$};

\draw[->] (E)--(F) node [midway,above] {$\simeq$};
\draw[->] (E)--(A) node [midway,below] {$f$};
\draw[->] (F)--(A) node [midway,right] {$\pi^2$};
\draw[->] (F)--(G) node [midway,right] {$\pi^1$};
\draw[->,bend] (A)--(E) node [midway,left] {$v$}

\end{tikzpicture}
\end{center}

\end{document}

```