In set theory (the usual ZFC axioms), can I say that the relation of belonging ($\in$)is antisymmetric? I guess so since I think this is vacuously true due to regularity.
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In fact, $\in$ is asymmetric: with the axiom of regularity, no set could ever be a member of itself. – Geoffrey Trang Jul 26 '20 at 21:21
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@GeoffreyTrang Thanks, that answers my question. – Atom Jul 26 '20 at 21:35