Anti-symmetric relation
Set
context
$X$
definiendum
$ R\in\mathrm{SymmetricRel}(X) $
context
$ R \in \mathrm{Rel}(X) $
$ x,y\in X $
postulate
$ xRy \land yRx \implies x=y $
Discussion
Reference
Wikipedia:
Anti-symmetric relation
Parents
Subset of
Binary relation on a set