AFAIK, nothing of the kind is publicly available. The closest thing to it is probably his Intuitive Explanation of Bayes' Theorem; however, Bayes' Theorem is high-school math. (His Cartoon Guide to Lob's Theorem might also be relevant- although they may think it's just more words.) Two relevant quotes by Eliezer:

On some gut level I’m also just embarrassed by the number of compliments I get for my math ability (because I’m a good explainer and can make math things that I do understand seem obvious to other people) as compared to the actual amount of advanced math knowledge that I have (practically none by any real mathematician’s standard).

My current sense of the problems of self-modifying decision theory is that it won’t end up being Deep Math, nothing like the proof of Fermat’s Last Theorem—that 95% of the progress-stopping difficulty will be in figuring out which theorem is true and worth proving, not the proof. (Robin Hanson spends a lot of time usefully discussing which activities are most prestigious in academia, and it would be a Hansonian observation, even though he didn’t say it AFAIK, that complicated proofs are prestigious but it’s much more important to figure out which theorem to prove.)

Source for both