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Jun 18, 2022 at 12:53 comment added Alec Rhea @NoahSchweber This is interesting since inaccessibles $\kappa$ are precisely the cardinals such that $V_{\kappa+1}\models MK$. If a similar result holds for models of MK assuming $V=L$ then (assuming $V=L$) models of MK and $\mathfrak{ZFC}({\sf SOL})$ coincide exactly.
Mar 14, 2021 at 20:16 comment added Noah Schweber I can only accept one answer and I've gone with Farmer's, but thank you very much for this citation!
Mar 8, 2021 at 20:43 history answered Jason Zesheng Chen CC BY-SA 4.0