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by JulianWasTaken 556 days ago
> shouldn't proof checkers have a database of theorems and be able to fill in the intermediate steps or confirm that it's possible to fill in the missing steps?

This is essentially exactly what Mathlib[1] is, which is Lean's database of mathematics, and which large portions of the FLT project will likely continually contribute into.

[1]: https://github.com/leanprover-community/mathlib4/

(Other theorem provers have similar libraries, e.g. Coq's is called math-comp: https://math-comp.github.io/ )