# Differences

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 pre-image [2013/09/06 23:14]nikolaj pre-image [2014/03/21 11:11] (current) Both sides previous revision Previous revision 2013/09/06 23:14 nikolaj 2013/09/06 23:14 nikolaj 2013/09/06 22:04 external edit2013/08/04 23:04 nikolaj 2013/06/07 22:47 nikolaj 2013/05/21 13:22 nikolaj 2013/05/21 13:20 nikolaj 2013/05/18 12:56 external edit2013/05/17 22:37 nikolaj 2013/05/17 22:36 nikolaj created Next revision Previous revision 2013/09/06 23:14 nikolaj 2013/09/06 23:14 nikolaj 2013/09/06 22:04 external edit2013/08/04 23:04 nikolaj 2013/06/07 22:47 nikolaj 2013/05/21 13:22 nikolaj 2013/05/21 13:20 nikolaj 2013/05/18 12:56 external edit2013/05/17 22:37 nikolaj 2013/05/17 22:36 nikolaj created Line 1: Line 1: ===== Pre-image ===== ===== Pre-image ===== - ==== Definition ​==== + ==== Set ==== Pre-image of the function $f$ w.r.t the codomain subset $Z$. Pre-image of the function $f$ w.r.t the codomain subset $Z$. - | @#88DDEE: $Z$ | + | @#55CCEE: context ​    | @#55CCEE: $Z$ | - | @#88DDEE: $f\in X^Y$ | + | @#55CCEE: context ​    | @#55CCEE: $f\in X^Y$ | - | @#55EE55: $x\in f^{-1}(Y)$ | + | @#55EE55: postulate ​  | @#55EE55: $x\in f^{-1}(Y)$ | - | @#55EE55: $f(x)\in Z$ | + | @#55EE55: postulate ​  | @#55EE55: $f(x)\in Z$ | ==== Ramifications ==== ==== Ramifications ====