I'm trying to understand if order relation (over reals) $$a>b$$ is anticommutative, that is if I can say that $$a>b = -(b>a) = -b > -a$$ I'm in doubt as Wikipedia page for anti-commutativity doesn't include order relation. Perhaps I conflate different terms (together with converse property)?
2026-04-24 11:21:34.1777029694
Is anticommutativity same as antisymmetry for order relation?
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