如何对齐多个单独的“align”环境块?

如何对齐多个单独的“align”环境块?

考虑以下 MWE:

\documentclass{minimal}

\usepackage{amsmath}
\usepackage{graphics}

\newcommand*{\scaleandcenter}[2]{{\vcenter{\hbox{\scalebox{#1}{$#2$}}}}}
\newcommand*{\scalebig}[1]{\scaleandcenter{1.5}{#1}}

\newcommand*{\imp}{\mathop{\Rightarrow}}
\newcommand*{\Imp}{\mathbin{\scalebig{\imp}}}
\newcommand*{\blankrel}[1]{\mathrel{\phantom{#1}}}
\newcommand*{\Blank}{\blankrel{\Imp}}
\newcommand*{\Eq}{\mathrel{\scalebig{=}}}
\newcommand*{\apf}{\mathrel{\triangleleft}}
\newcommand*{\sgn}{\texttt{sgn}}

\begin{document}
    We can expect $n!$ injective functions from $[n]$ to $[n]$. Therefore, we will have 6 terms in the summation above, corresponding to each of the 6 permutations in $S_n$:
    \begin{align*}
        &\Blank \pi_1 = e, \sgn(\pi_2) = 1\\
        &\Imp \sgn(\pi_1) \prod_{j=1}^3 v_{\pi_1 \apf j, j} \\
        &\Eq \prod_{j=1}^3 v_{\pi_1 \apf j, j} \\
        &\Eq v_{1,1}v_{2,2}v_{3,3}
    \end{align*}

    \begin{align*}
        &\Blank \pi_2 = \left(\begin{matrix}1 & 2\end{matrix}\right), \sgn(\pi_2) = -1\\
        &\Imp \sgn(\pi_2) \prod_{j=1}^3 v_{\pi_2 \apf j, j} \\
        &\Eq -\prod_{j=1}^3 v_{\pi_2 \apf j, j} \\
        &\Eq -v_{2,1}v_{1,2}v_{3,3}
    \end{align*}
\end{document}

它产生以下输出:

在此处输入图片描述

但是,请注意,第一个块与第二个块不对齐(\pi_1不对齐\pi_2);这是为什么?如果在第二个块后添加更多对齐块,它们会对齐,只是第一个块略微“缩进”了?

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