===== Anti-symmetric relation =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $X$ |

| @#FFBB00: definiendum | @#FFBB00: $ R\in\mathrm{SymmetricRel}(X) $ |

| @#55CCEE: context     | @#55CCEE: $ R \in \mathrm{Rel}(X) $ |
| $ x,y\in X $ |

| @#55EE55: postulate   | @#55EE55: $ xRy \land yRx \implies x=y $ |

==== Discussion ====
=== Reference ===
Wikipedia: [[http://en.wikipedia.org/wiki/Anti-symmetric_relation|Anti-symmetric relation]]
==== Parents ====
=== Subset of ===
[[Binary relation on a set]]