# Differences

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 anti-symmetric_relation [2013/09/02 18:57]nikolaj anti-symmetric_relation [2014/03/21 11:11] (current) Both sides previous revision Previous revision 2013/09/04 17:23 nikolaj 2013/09/02 18:57 nikolaj 2013/09/02 18:24 nikolaj 2013/08/15 12:15 ben 2013/05/23 21:35 nikolaj 2013/05/23 16:58 nikolaj created Next revision Previous revision 2013/09/04 17:23 nikolaj 2013/09/02 18:57 nikolaj 2013/09/02 18:24 nikolaj 2013/08/15 12:15 ben 2013/05/23 21:35 nikolaj 2013/05/23 16:58 nikolaj created Line 1: Line 1: ===== Anti-symmetric relation ===== ===== Anti-symmetric relation ===== - ==== Definition ​==== + ==== Set ==== - | @#88DDEE: $X$ | + | @#55CCEE: context ​    | @#55CCEE: $X$ | - | @#FFBB00: $R\in\mathrm{SymmetricRel}(X)$ | + | @#FFBB00: definiendum ​| @#FFBB00: $R\in\mathrm{SymmetricRel}(X)$ | + | @#55CCEE: context ​    | @#55CCEE: $R \in \mathrm{Rel}(X)$ | | $x,y\in X$ | | $x,y\in X$ | - | @#55EE55: $xRy \land yRx \implies x=y$ | + | @#55EE55: postulate ​  | @#55EE55: $xRy \land yRx \implies x=y$ | ==== Discussion ==== ==== Discussion ==== === Reference === === Reference === Wikipedia: [[http://​en.wikipedia.org/​wiki/​Anti-symmetric_relation|Anti-symmetric relation]] Wikipedia: [[http://​en.wikipedia.org/​wiki/​Anti-symmetric_relation|Anti-symmetric relation]] - ==== Context ​==== + ==== Parents ​==== === Subset of === === Subset of === [[Binary relation on a set]] [[Binary relation on a set]]