I want this but when I am writing
\documentclass{article}
\begin{document}
$$x\in\mathcal{W}_{i+1}\Leftrightarrow \exists y\in\mathcal{W}_i : Ex = Ay = (A-\lambda E)y +\lambda Ey$$
$$\Leftrightarrow \exists y\in\mathcal{W}_i = \ker \hat{E}^i : \hat{E}x = (I + \lambda \hat{E})y =: \hat{y}$$
$$\Leftrightarrow \exists \hat{y}\in\ker\hat{E}^i : \hat{E}x = \hat{y}$$
$$\Leftrightarrow x\in \ker \hat{E}^ {i+1}$$ .
\end{document}
I am getting this



$$ ... $$and using\[ ... \]instead. Anyway, you need to use some kind ofalignenvironment – Au101 Nov 07 '16 at 22:28\begin{align*} x\in\mathcal{W}_{i+1}&\Leftrightarrow \exists ... \\ &\Leftrightarrow \exists y \in ... \\ &\Leftrightarrow ... ... \end{align*}– Au101 Nov 07 '16 at 22:29