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  • $\begingroup$ I was not aware of this, what a nice result! $\endgroup$ Commented Jan 16, 2024 at 2:44
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    $\begingroup$ @mathworker21, thanks! Hrbacek succeeded in showing that Jin's proof (with three levels of standardness) can be carried out conservatively over ZF+ADC. $\endgroup$ Commented Jan 16, 2024 at 10:29
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    $\begingroup$ @MikhailKatz ADC = axiom of dependent choice? (EDIT: oh, yes, that's it; I see it in the abstract of Hrbacek's paper) $\endgroup$ Commented May 2, 2024 at 12:24
  • $\begingroup$ @DavidRoberts, As I mentioned in my recent edit, Jin's proof can be formalized conservatively over ZF+ACC, rather than ZF+ADC. This is a very recent breakthrough by Hrbacek. $\endgroup$ Commented May 2, 2024 at 13:06
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    $\begingroup$ BTW I emailed Tim Gowers about the broken DOI link - it turns out the problem is much more extensive, and likely dates back to articles starting some time in 2022 (!). $\endgroup$ Commented May 3, 2024 at 11:17