Differences
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Both sides previous revision Previous revision Next revision | Previous revision | ||
total_relation [2013/09/04 16:56] nikolaj |
total_relation [2014/03/21 11:11] (current) |
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===== Total relation ===== | ===== Total relation ===== | ||
- | ==== Definition ==== | + | ==== Set ==== |
- | | @#88DDEE: $X$ | | + | | @#55CCEE: context | @#55CCEE: $X$ | |
- | | @#FFBB00: $ R\in\mathrm{TotalRel}(X) $ | | + | | @#FFBB00: definiendum | @#FFBB00: $ R\in\mathrm{TotalRel}(X) $ | |
+ | | @#55CCEE: context | @#55CCEE: $ R\ \in\ \mathrm{Rel}(X) $ | | ||
| $x,y\in X$ | | | $x,y\in X$ | | ||
- | | @#55EE55: $ xRy\ \lor\ yRx $ | | + | | @#55EE55: postulate | @#55EE55: $ xRy\ \lor\ yRx $ | |
==== Discussion ==== | ==== Discussion ==== | ||
Wikipedia: [[http://en.wikipedia.org/wiki/Total_relation|Total relation]] | Wikipedia: [[http://en.wikipedia.org/wiki/Total_relation|Total relation]] | ||
- | ==== Context ==== | + | ==== Parents ==== |
=== Subset of === | === Subset of === | ||
- | [[Trichotomous relation]] | + | [[Binary relation on a set]] |