Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision Next revision Both sides next revision | ||
|
image [2013/05/20 00:01] nikolaj |
image [2013/06/12 21:24] nikolaj |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| ===== Image ===== | ===== Image ===== | ||
| ==== Definition ==== | ==== Definition ==== | ||
| - | | $ R $ | | + | | @#88DDEE: $ R\in \text{Rel}(X,Y) $ | |
| - | | $ \forall_R c\ \exists a,b\ (c=\langle a,b\rangle) $ | | + | | @#55EE55: $ y\in \mathrm{im}(R) $ | |
| - | >This is quite general. Might be that we can just restrict this to actual relations (the "smaller" set constructor) | + | | @#55EE55: $ \exists x\ (\langle x,y \rangle \in R) $ | |
| - | + | ||
| - | ^ $ y\in \mathrm{im}(R) $ ^ | + | |
| - | + | ||
| - | ^ $ \exists x\ (\langle x,y \rangle \in R) $ ^ | + | |
| ==== Ramifications ==== | ==== Ramifications ==== | ||
| Line 20: | Line 16: | ||
| ==== Context ==== | ==== Context ==== | ||
| Set constructor | Set constructor | ||
| - | === Parents === | + | === Image of === |
| - | [[Ordered pair]] | + | [[Binary relation]] |
