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restricted_relation [2013/05/18 12:56] 127.0.0.1 external edit |
restricted_relation [2013/08/06 11:26] nikolaj |
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| ===== Restricted relation ===== | ===== Restricted relation ===== | ||
| ==== Definition ==== | ==== Definition ==== | ||
| - | | $X,Y,Z,R$ | | + | | @#88DDEE: $X,Y,Z$ | |
| + | | @#88DDEE: $R\in \text{Rel}(X,Y)$ | | ||
| - | | $R\in \text{Rel}(X,Y)$ | | + | | @#55EE55: $ \langle x,y\rangle \in R_{|Z}$ | |
| - | ^ $ \langle x,y\rangle \in R_{|Z}$ ^ | + | | @#55EE55: $ \langle x,y\rangle \in R $ | |
| - | + | | @#55EE55: $ x \in Z $ | | |
| - | | $ \langle x,y\rangle \in R $ | | + | |
| - | | $ x \in Z $ | | + | |
| ==== Ramifications ==== | ==== Ramifications ==== | ||
| - | === Satisfies === | ||
| - | ^ $R_{|Z}\subseteq R$ ^ | ||
| ==== Reference ==== | ==== Reference ==== | ||
| Mizar files: [[http://markun.cs.shinshu-u.ac.jp/mirror/mizar/JFM/Vol1/relat_1.html|RELAT_1]] | Mizar files: [[http://markun.cs.shinshu-u.ac.jp/mirror/mizar/JFM/Vol1/relat_1.html|RELAT_1]] | ||
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| ==== Context ==== | ==== Context ==== | ||
| - | === Parents === | + | === Subset of === |
| [[Binary relation]] | [[Binary relation]] | ||
