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relation_domain [2013/05/18 12:56]
127.0.0.1 external edit
relation_domain [2014/07/11 20:38]
nikolaj
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 ===== Relation domain ===== ===== Relation domain =====
-==== Definition ​==== +==== Set ==== 
-| $ R $ |+@#55CCEE: context ​    | @#55CCEE: $ R $ | 
 +| $ c\in R $ | 
 +| @#55EE55: postulate ​  | @#55EE55: $ \forall c.\ \exists a,b.\ c=\langle a,b\rangle $ | 
 +| @#FFBB00: definiendum | @#FFBB00: $ x\in \mathrm{dom}(R) $ | 
 +| @#55EE55: postulate ​  | @#​55EE55: ​\exists y.\ \langle x,y \rangle\in ​R $ |
  
-| $ \forall_f c\ \exists a,b\ (c=\langle a,b\rangle) $ | +==== Discussion ​====
- +
-^ $ x\in \mathrm{dom}(R) $ ^ +
- +
-^ $ \exists y\ (\langle x,y \rangle\in R) $ ^ +
- +
-==== Ramifications ​====+
 === Reference === === Reference ===
- 
-Mizar files:​[[http://​markun.cs.shinshu-u.ac.jp/​mirror/​mizar/​JFM/​Vol1/​relat_1.html|RELAT_1]] 
- 
 Wikipedia: [[http://​en.wikipedia.org/​wiki/​Domain_of_a_function|Domain of a function]] Wikipedia: [[http://​en.wikipedia.org/​wiki/​Domain_of_a_function|Domain of a function]]
- +==== Parents ​==== 
-==== Context ​==== +=== Context ​===
-Set constructor +
-=== Parents ​===+
 [[Ordered pair]] [[Ordered pair]]
  
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