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Converting proofs into ZFC form. What software is there-how does one go about it? For extreme rigour. And bayesian proof convergence with the existential risk of Proof Errors. Asking for a friend.

Say I have the proof of Andrew Wiles Fermats Last Theorem, which is 100 pages long and involves numerous branches of difficult mathematics.

How would one make that proof as rigourous as possible? Which of course means converting every step into set theory.

Next. Here is a very good essay about errors in mathematical proofs.

https://www.gwern.net/The-Existential-Risk-of-Mathematical-Error

More or less. How are theorems confirmed in an absolutely rigorous mathematical framework? Or as rigorous as Bayes Theorem and the Dark Lords will allow?

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