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restricted_relation [2013/06/12 22:30] ben |
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- | ===== Restricted relation ===== | ||
- | ==== Definition ==== | ||
- | | @#88DDEE: $X,Y,Z$ | | ||
- | | @#88DDEE: $R\in \text{Rel}(X,Y)$ | | ||
- | |||
- | | @#55EE55: $ \langle x,y\rangle \in R_{|Z}$ | | ||
- | |||
- | | @#55EE55: $ \langle x,y\rangle \in R $ | | ||
- | | @#55EE55: $ x \in Z $ | | ||
- | |||
- | ==== Ramifications ==== | ||
- | ==== Reference ==== | ||
- | Mizar files: [[http://markun.cs.shinshu-u.ac.jp/mirror/mizar/JFM/Vol1/relat_1.html|RELAT_1]] | ||
- | |||
- | Wikipedia: Wikipedia: [[http://en.wikipedia.org/wiki/Binary_relation|Binary relation]] | ||
- | |||
- | ==== Context ==== | ||
- | === Parametrized subset of === | ||
- | [[Binary relation]] | ||