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binary_relation_on_a_set [2013/05/23 13:38] nikolaj created |
binary_relation_on_a_set [2013/09/02 17:31] nikolaj |
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===== Binary relation on a set ===== | ===== Binary relation on a set ===== | ||
==== Definition ==== | ==== Definition ==== | ||
- | | $X,Y$ | | + | | @#88DDEE: $X$ | |
- | ^ $ \text{Rel}(X) $ ^ | + | | @#FFBB00: $ \text{Rel}(X) \equiv \text{Rel}(X,X) $ | |
- | + | ||
- | ^ $ \text{Rel}(X) = \text{Rel}(X,X) $ ^ | + | |
- | + | ||
- | ==== Ramifications ==== | + | |
- | ==== Reference ==== | + | |
- | Mizar files: [[http://markun.cs.shinshu-u.ac.jp/mirror/mizar/JFM/Vol1/relat_1.html|RELAT_1]] | + | |
+ | ==== Discussion ==== | ||
+ | === Reference === | ||
Wikipedia: [[http://en.wikipedia.org/wiki/Binary_relation|Relation]] | Wikipedia: [[http://en.wikipedia.org/wiki/Binary_relation|Relation]] | ||
- | |||
==== Context ==== | ==== Context ==== | ||
- | === Parents === | + | === Subset of === |
[[Binary relation]] | [[Binary relation]] | ||