Differences

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--- anti-symmetric_relation [2013/08/15 12:15]
ben
+++ anti-symmetric_relation [2013/09/04 17:23]
nikolaj
@@ Line 1: / Line 1: @@
 ===== Anti-symmetric relation =====
 ==== Definition ====
-| $X$ |
+| @#88DDEE: $X$ |
-| $ R\in\text{Rel}(X) $ |
-^ $ \{R\} $ ^
+| @#FFBB00: $ R\in\mathrm{SymmetricRel}(X) $ |
-^ $ (\langle x,y\rangle \in R) \land (\langle y,x\rangle \in R) \implies (x=y) $ ^
+| @#88DDEE: $ R \in \mathrm{Rel}(X) $ |
+| $ x,y\in X $ |
-==== Ramifications ====
+| @#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]]