> I think it would be beneficial for the Metamath community to have such a 
tool, too. I've been thinking about it for a while.

Thierry, I've been also thinking that Metamath could benefit from some 
collaboration, but I came to the conclusion that currently Metamath 
community is probably too small. It seems that there are lot more people 
involved in Lean, there are Lean-oriented courses at universities and there 
are people who do Lean nearly full-time (the closest we had to such a 
person was Mario, but it seems he has moved to other projects).

Needless to say, Lean has better tooling and PA tactics. I can't speak for 
others, but I personally don't attempt formalizing theorems myself anymore 
precisely because one has to spend a ridiculous amount of effort to 
formalize trivial things, like doing algebraic manipulations or proving 
tautologies.

That sounds too grim, but I like your "This gives a good overview of the 
steps to reach the goal, and everyone can grab a piece" idea :-) Maybe we 
could try to foster some collaboration by following Norm's suggestion 
<https://groups.google.com/g/metamath/c/5vbEj2vnvAg/m/eJ5qnyS5BQAJ> or my 
one <https://groups.google.com/g/metamath/c/91QTr-3TvN0>? Arguably, nearly 
all long-hanging fruit in the Metamath 100 list are done (besides, maybe 
some things related to geometry). People still look at that list, so it 
would be very useful in my opinion to break down the proof strategy into 
several steps and formalize *the statement* into Metamath (with empty 
proof). This can be placed in the set.mm github and tracked, for example, 
with an issue or a project, like Elementary Geometry and iset.mm do right 
now.

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