I am writing math book and I am interested how I should print them correctly. I know that the main thing is sameness across the whole document, but I am really interested in ways which are recommended by respectable persons and societies, i.e. Knuth or AMS.
I've already asked this question to find the true.
Now I am editing my book. I come here with the question which spacing is correct between the following variants:
\begin{align}
&\exists m \in \bbR{:}\quad \forall n \in \bbN\quad x_n \ge m.\\
&\exists m \in \bbR \mathpunct{:} \forall n \in \bbN\quad x_n \ge m.\\
&\exists m \in \bbR : \forall n \in \bbN\quad x_n \ge m.\\
&\exists m \in \bbR\colon \forall n \in \bbN\quad x_n \ge m.\\
\end{align}
Personally, I love the first variant, but it seems not so comfortable, so I don't think it is used by typographers.


$\forall x:$, but in your examples you have$\forall n \in \bbN$and the same space ($\quad$) after each of them. – ShreevatsaR Sep 21 '17 at 15:50\quadwas recommended before\forall, but I'm unable to find anything online to confirm that, and my reference books are still inaccessible, in boxes. – barbara beeton Jun 08 '22 at 18:17