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quotient_set [2013/05/23 17:26]
nikolaj created
quotient_set [2014/03/21 11:11]
127.0.0.1 external edit
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 ===== Quotient set ===== ===== Quotient set =====
-==== Definition ​==== +==== Set ==== 
-| $X,\sim$ | +@#55CCEE: context ​    | @#​55CCEE: ​$X$ | 
-| $ \sim\in\text{Equiv}(X) $ |+@#55CCEE: context ​    | @#​55CCEE: ​$ \sim\in\text{Equiv}(X) $ |
  
-$ Y\in X/\sim $ ^+| @#FFBB00: definiendum | @#​FFBB00: ​$ Y\in X/\sim $ |
  
-| $x\in X$ |+@#55EE55: postulate ​  | @#​55EE55: ​\exists x.\ Y=[x]_\sim $ |
  
-^ $ \exists x\ (Y=[x]_\sim) $ ^ +==== Discussion ​====
- +
-==== Ramifications ​====+
 === Reference === === Reference ===
 Wikipedia: [[http://​en.wikipedia.org/​wiki/​Equivalence_class|Equivalence class]] Wikipedia: [[http://​en.wikipedia.org/​wiki/​Equivalence_class|Equivalence class]]
-==== Context ​==== +==== Parents ​==== 
-=== Parents ​===+=== Context ​===
 [[Equivalence class]] [[Equivalence class]]
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