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quotient_set [2013/09/02 23:24] nikolaj |
quotient_set [2014/12/27 00:17] nikolaj |
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===== Quotient set ===== | ===== Quotient set ===== | ||
- | ==== Definition ==== | + | ==== Set ==== |
- | | @#88DDEE: $X$ | | + | | @#55CCEE: context | @#55CCEE: $X$ | |
- | | @#88DDEE: $ \sim\in\text{Equiv}(X) $ | | + | | @#55CCEE: context | @#55CCEE: $ \sim\in\text{Equiv}(X) $ | |
+ | | @#FFBB00: definiendum | @#FFBB00: $ Y\in X/\sim $ | | ||
+ | | @#55EE55: postulate | @#55EE55: $ \exists x.\ Y=[x]_\sim $ | | ||
- | | @#FFBB00: $ Y\in X/\sim $ | | + | ----- |
- | + | ||
- | | @#55EE55: $ \exists x.\ Y=[x]_\sim $ | | + | |
- | + | ||
- | ==== Discussion ==== | + | |
=== Reference === | === Reference === | ||
Wikipedia: [[http://en.wikipedia.org/wiki/Equivalence_class|Equivalence class]] | Wikipedia: [[http://en.wikipedia.org/wiki/Equivalence_class|Equivalence class]] | ||
- | ==== Context ==== | + | |
- | === Requirements === | + | ----- |
+ | === Context === | ||
[[Equivalence class]] | [[Equivalence class]] |