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I've noticed that by default, the horizontal spacing between equation elements is pretty tight, and that I can use commands for horizontal spacing between elements in an equation.

Still, I don't want to expand the spacing manually for each element, if I know I just want some constant horizontal space increase between each element of each equation I write. This means I will repeat what I did for the second equation, all over my text:

\documentclass{minimal}

\usepackage{amsmath}

\begin{document}
    \begin{equation}
        \mathcal{C} := \{i : \forall i \exists \mathcal{V}(i) \neq \emptyset\}
    \end{equation}

    \begin{equation}
        \mathcal{C} := \{i : \forall \, i \, \exists \, \mathcal{V}(i) \, \neq \, \emptyset\}
    \end{equation}

\end{document}

Is there a way to globally, or for a single equation at least, modify the default horizontal spacing between each element of each equation in LaTeX?

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tmaric
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    The main problem with the above construct is that LaTeX treats \forall and \exists as ordinary characters. A number of solutions are discussed in http://tex.stackexchange.com/q/115432/15925. For sets I often define \DeclarePairedDelimiterX{\Set}[2]{\lbrace}{\rbrace}{#1 \,\delimsize\vert\, #2} used as \Set{i}{\exists j...}. – Andrew Swann Oct 08 '13 at 07:55
  • @AndrewSwann Thanks! (+1) I can also just write the equations and do some regex substitutions in vim.. – tmaric Oct 10 '13 at 07:00

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