[Merged by Bors] - feat(archive/imo): formalize 1987Q1 #4731
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* fix universe levels in `equiv.set.compl`: by default Lean uses some `max` universes both for `α` and `β`, and it backfires when one tries to apply it. * add `nat.mul_factorial_pred`; * add instance `fixed_points.decidable`. Part of #4731
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* fix universe levels in `equiv.set.compl`: by default Lean uses some `max` universes both for `α` and `β`, and it backfires when one tries to apply it. * add `nat.mul_factorial_pred`; * add instance `fixed_points.decidable`. Part of #4731
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Co-authored-by: Bryan Gin-ge Chen <bryangingechen@gmail.com>
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I have a sorry-free proof of the problem. Formalizing it motivated me to add
equiv.set.compl. Finalizing this PR is a very low priority task in my TODO list. If someone else wants to do it, then feel free to take over.