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injective_function [2013/12/21 19:57] 127.0.0.1 external edit |
injective_function [2014/03/21 11:11] |
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| - | ===== Injective function ===== | ||
| - | ==== Set ==== | ||
| - | | @#88DDEE: $X,Y$ | | ||
| - | |||
| - | | @#FFBB00: $ f\in \mathrm{Injective}(X,Y)$ | | ||
| - | |||
| - | | @#88DDEE: $ f:X\to Y $ | | ||
| - | |||
| - | | @#55EE55: $ f(x)=f(y) \implies x=y $ | | ||
| - | |||
| - | ==== Discussion ==== | ||
| - | === Predicates === | ||
| - | | @#EEEE55: $Y...\mathrm{countable}\equiv \mathrm{Injective}(\mathbb N,Y)\ne\emptyset$ | | ||
| - | ==== Parents ==== | ||
| - | === Requirements === | ||
| - | [[Function]] | ||
