Formule sur plusieurs lignes dans environnement align

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\documentclass[english]{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{lmodern}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage{mathtools}
\usepackage{stmaryrd}
\begin{document}
\begin{align*}
    & 
    \begin{multlined}
    S_{\omega_1, \omega_3}
    \left|
    - \overline{\omega_2} \left( \frac{f(\omega_1) - f(\omega_3)}{\omega_1 - \omega_3} \right) + \frac{1-|\omega_2|^2}{\omega_1-\omega_3} \left( \frac{f(\omega_1)-f(\omega_2)}{\omega_1-\omega_2}-\frac{f(\omega_2)-f(\omega_3)}{\omega_2-\omega_3}\right)\right.\\
    \left.(1-|f(\omega_2)|^2) + \overline{f(\omega_2)}(1-|\omega_2|^2)\cdot \frac{(f(\omega_1)-f(\omega_2))(f(\omega_2)-f(\omega_3))}{(\omega_1-\omega_2)(\omega_2-\omega_3)}
    \right|^2
    \\
    \leq \left[ \left( 1 - |f(\omega_1)|^2\right)\left(1 - |f(\omega_2)|^2\right) - \left(1-|\omega_1|^2\right)\left(1-|\omega_2|^2\right)\left|\frac{f(\omega_1)-f(\omega_2)}{\omega_1-\omega_2}\right|^2\right]\\
    \times \left[ \left( 1 - |f(\omega_3)|^2\right)\left(1 - |f(\omega_2)|^2\right) - \left(1-|\omega_3|^2\right)\left(1-|\omega_2|^2\right)\left|\frac{f(\omega_3)-f(\omega_2)}{\omega_3-\omega_2}\right|^2\right]
    \end{multlined}
    \\
    \iff & \dots
\end{align*}
\end{document}
 
 
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