How to achieve two levels of indentation inside align environment?

\documentclass{article}

\usepackage{parskip}
\usepackage{amssymb}
\usepackage[fleqn]{amsmath}


\begin{document}

        Suppose we want to compute $\nu(u_1)$, we first consider $Y_1$.\\ 
So $Y_1=A\setminus S_1=\{\mathit{country}, \mathit{genre}\}$, and we have that:\\
        \begin{align*}
        \nu(u_1)&=\exists(\mathit{country}, \mathit{genre})(u\,'_1\wedge u\,'_2\wedge u\,'_3)\\
        &=\exists(\mathit{country}, \mathit{genre})(
\!\begin{aligned}[t]
&\varphi\,'_1(\mathit{cd}, \mathit{member}, band)\wedge\\
&        \varphi\,'_2(\mathit{cd},\mathit{member}, date)\wedge\\
&        \varphi\,'_3(\mathit{cd}, \mathit{member},\mathit{country}))
\end{aligned}
        \end{align*}

        We now want to prove that similarity conditions hold for these 
three functions we defined.

\end{document}

You can use split or aligned within the align but note don't use math italic for multi-letter identifiers, and don't end a paragraph with \\