\documentclass{article}
\usepackage{amsmath,amsthm,amssymb}
\usepackage{outlines}
\begin{document}
\begin{outline}
\1 Here's some text.
\2 Here follows the aligned environment.
\begin{align*}
&\phantom{=} \{\ldots :(x,y,z)\in V^{(1)}\wedge (x,y,z)\in V^{(2)}\wedge (x,y,z)\in V^{(3)}\}\\
&=\{\ldots: (x\in U_1\wedge y\in X_2\wedge\ldots)\wedge (x\in X_1\wedge\ldots)\wedge (x\in X_1\wedge\ldots)\}\\
&=\{\ldots: x\in U_1\wedge y\in U_2\wedge z\in U_3\}\\
&=U_1\times U_2\times U_3.