Hi Olivier,

Very interesting!
Mathjax is also what I’m using for the rendering of the “structured” pages, 
like:

http://metamath.tirix.org/esum.html

http://metamath.tirix.org/areacirc.html

I’m maintaining the rules for translating any set.mm statement into MathJax 
here:

https://github.com/metamath/set.mm/blob/develop/set-mathml.mmts

Feel free to reuse it!

It looks like for simplifying a formula, one would start at the lowest level, 
and then continuously work ones way up:
If I’m looking for a proof assistant, I would probably like to have this 
automated, and the whole formula simplified in one step.

But I suppose for educational purposes, you want to expose each of these steps.
BR,
_
Thierry


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