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reversed_relation [2013/05/15 23:51] 127.0.0.1 external edit |
reversed_relation [2013/09/09 09:25] nikolaj |
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===== Reversed relation ===== | ===== Reversed relation ===== | ||
==== Definition ==== | ==== Definition ==== | ||
- | | $ R,x,y $ | | + | | @#88DDEE: $ R\in\text{Rel}(X,Y) $ | |
- | | $ \text{relation-like}(R) $ | | + | | @#FFBB00: $ \langle x,y \rangle \in R^\smile $ | |
- | ^ $ \langle x,y \rangle \in R^\smile $ ^ | + | | @#55EE55: $ \langle y,x \rangle \in R $ | |
- | + | ||
- | ^ $ \langle y,x \rangle \in R $ ^ | + | |
==== Ramifications ==== | ==== Ramifications ==== | ||
- | ==== Context ==== | ||
- | Set constructor | ||
- | === Follows === | ||
- | [[Ordered pair]] | ||
- | ==== Discussion ==== | ||
=== Reference === | === Reference === | ||
- | Mizar files: | + | Mizar files: [[http://markun.cs.shinshu-u.ac.jp/mirror/mizar/JFM/Vol1/relat_1.html|RELAT_1]] |
- | + | ||
- | [[http://markun.cs.shinshu-u.ac.jp/mirror/mizar/JFM/Vol1/relat_1.html|RELAT_1]] | + | |
+ | ==== Parents ==== | ||
+ | === Requirements === | ||
+ | [[Binary relation]] |