Differences
This shows you the differences between two versions of the page.
pre-image [2013/08/04 23:04] nikolaj |
pre-image [2014/03/21 11:11] |
||
---|---|---|---|
Line 1: | Line 1: | ||
- | ===== Pre-image ===== | ||
- | ==== Definition ==== | ||
- | Pre-image of the function $f$ w.r.t the codomain subset $Z$. | ||
- | | @#88DDEE: $ Z $ | | ||
- | | @#88DDEE: $ f\in X^Y $ | | ||
- | |||
- | | @#55EE55: $ x\in f^{-1}(Y) $ | | ||
- | |||
- | | @#55EE55: $ f(x)\in Z $ | | ||
- | |||
- | ==== Ramifications ==== | ||
- | === Reference === | ||
- | Mizar files: [[http://mizar.org/JFM/Vol1/funct_1.html|FUNCT_1]] | ||
- | |||
- | Wikipedia: [[http://en.wikipedia.org/wiki/Image_%28mathematics%29|Image]] | ||
- | |||
- | ==== Context ==== | ||
- | Set constructor | ||
- | === Parents === | ||
- | [[Function]] |