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S Jan 17, 2022 at 3:02 history suggested CommunityBot CC BY-SA 4.0
lower case is needed here
Jan 17, 2022 at 2:27 review Suggested edits
S Jan 17, 2022 at 3:02
Jan 16, 2022 at 15:28 comment added Zuhair Al-Johar @Wojowu, that's what I thought also. I've added the context of this question, which is Asaf's answer to my question about structures, but that question was in $\sf ZF$, and this goes beyond it, so I'm not sure if this can manage to avoid choice?
Jan 16, 2022 at 13:28 history edited Zuhair Al-Johar CC BY-SA 4.0
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Jan 16, 2022 at 13:22 history edited Zuhair Al-Johar CC BY-SA 4.0
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Jan 16, 2022 at 13:01 comment added Wojowu My guess would be that any model of ZF is a well-founded part of some model of ZF-Fnd satisfying your new axiom. So no, it probably doesn't imply any amount of choice.
Jan 16, 2022 at 12:32 history edited Zuhair Al-Johar CC BY-SA 4.0
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Jan 16, 2022 at 12:23 history asked Zuhair Al-Johar CC BY-SA 4.0