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injective_function [2013/08/30 14:35] nikolaj |
injective_function [2014/03/21 11:11] (current) |
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| ===== Injective function ===== | ===== Injective function ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $X,Y$ | | + | | @#55CCEE: context | @#55CCEE: $X,Y$ | |
| - | | @#FFBB00: $ f\in \mathrm{Injective}(X,Y)$ | | + | | @#FFBB00: definiendum | @#FFBB00: $ f\in \mathrm{Injective}(X,Y)$ | |
| - | | @#88DDEE: $ f:X\to Y $ | | + | | @#55CCEE: context | @#55CCEE: $ f:X\to Y $ | |
| - | | @#55EE55: $ f(x)=f(y) \implies x=y $ | | + | | @#55EE55: postulate | @#55EE55: $ f(x)=f(y) \implies x=y $ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
| - | === Predicates === | + | ==== Parents ==== |
| - | | @#EEEE55: $Y...\mathrm{countable}\equiv \mathrm{Injective}(\mathbb N,Y)\ne\emptyset$ | | + | === Context === |
| - | ==== Context ==== | + | |
| - | === Requirements === | + | |
| [[Function]] | [[Function]] | ||
