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anti-symmetric_relation [2013/09/02 18:57] nikolaj |
anti-symmetric_relation [2014/03/21 11:11] |
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| - | ===== Anti-symmetric relation ===== | ||
| - | ==== Definition ==== | ||
| - | | @#88DDEE: $X$ | | ||
| - | | @#FFBB00: $ R\in\mathrm{SymmetricRel}(X) $ | | ||
| - | |||
| - | | $ x,y\in X $ | | ||
| - | |||
| - | | @#55EE55: $ xRy \land yRx \implies x=y $ | | ||
| - | |||
| - | ==== Discussion ==== | ||
| - | === Reference === | ||
| - | Wikipedia: [[http://en.wikipedia.org/wiki/Anti-symmetric_relation|Anti-symmetric relation]] | ||
| - | ==== Context ==== | ||
| - | === Subset of === | ||
| - | [[Binary relation on a set]] | ||
