What is the name of property of a binary relation $R$ that states that $\lnot(a\mathrel{R} b) \iff \lnot(b \mathrel{R} a)$ for all $a, b$?
2026-03-29 05:50:16.1774763416
What is the name of this property of relation?
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Note that we can remove the negation because this is an if and only if. Therefore this is the same as saying $a\mathrel{R}b\iff b\mathrel{R}a$.
This property is called symmetry, and such $R$ is called a symmetric relation.