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reversed_relation [2013/05/18 12:56] 127.0.0.1 external edit |
reversed_relation [2014/03/21 11:11] (current) |
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| ===== Reversed relation ===== | ===== Reversed relation ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | $ R $ | | + | | @#55CCEE: context | @#55CCEE: $ R\in\text{Rel}(X,Y) $ | |
| - | | $ \forall_R c\ \exists a,b\ (c=\langle a,b\rangle) $ | | + | | @#FFBB00: definiendum | @#FFBB00: $ \langle x,y \rangle \in R^\smile $ | |
| - | ^ $ \langle x,y \rangle \in R^\smile $ ^ | + | | @#55EE55: postulate | @#55EE55: $ \langle y,x \rangle \in R $ | |
| - | + | ||
| - | ^ $ \langle y,x \rangle \in R $ ^ | + | |
| ==== Ramifications ==== | ==== Ramifications ==== | ||
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| 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]] | ||
| - | ==== Context ==== | + | ==== Parents ==== |
| - | Set constructor | + | === Context === |
| - | === Parents === | + | [[Binary relation]] |
| - | [[Ordered pair]] | + | |
