Artemio González López <[email protected]> writes:

> Thank you very much for your tip!

Sure, you're welcome.  Please keep [email protected] in CC and use
Reply-To-All in your MUA, otherwise your messages won't be visible on
the list.  Thanks.

> But what about this example:
>
> \documentclass[a4paper,11pt]{article}
>
> \usepackage{babel}
> \usepackage{amsmath}
>
> \begin{document}
>
> \[
>   \begin{vmatrix}
>     \hfill\frac1{3}-\lambda& -\frac14\\[2pt]
>     -\frac14& \hfill\frac1{3}-\lambda
>   \end{vmatrix}
>   =\bigg(\frac13-\lambda\bigg)^2-\frac1{16}=0\iff
>     \frac13-\lambda=\pm\frac14\iff\lambda=
>       \begin{cases}
>         \frac13-\frac14=\frac1{12}\\[3pt]
>         \frac13+\frac14=\frac7{12}\,.
>       \end{cases}
>     \]
>     
>     
>   \end{document}

Which version of AUCTeX are you using?  That reminds me of a shortcoming
which was fixed last April with commit fa547aa71e[1].  Can you please
update your AUCTeX installation and try it again?  Your example indents
fine for me if I paste it into a .tex file, mark it and hit
'M-x indent-region RET'.

Best, Arash

Footnotes:
[1]  
http://git.savannah.gnu.org/cgit/auctex.git/commit/?id=fa547aa71e9376b19630a5e0db017dc619451b75

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