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relation_domain [2014/03/21 11:11] 127.0.0.1 external edit |
relation_domain [2014/07/11 20:38] nikolaj |
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| ===== Relation domain ===== | ===== Relation domain ===== | ||
| ==== Set ==== | ==== Set ==== | ||
| - | Let | ||
| | @#55CCEE: context | @#55CCEE: $ R $ | | | @#55CCEE: context | @#55CCEE: $ R $ | | ||
| - | be a set with | ||
| | $ c\in R $ | | | $ c\in R $ | | ||
| | @#55EE55: postulate | @#55EE55: $ \forall c.\ \exists a,b.\ c=\langle a,b\rangle $ | | | @#55EE55: postulate | @#55EE55: $ \forall c.\ \exists a,b.\ c=\langle a,b\rangle $ | | ||
| - | Then | ||
| | @#FFBB00: definiendum | @#FFBB00: $ x\in \mathrm{dom}(R) $ | | | @#FFBB00: definiendum | @#FFBB00: $ x\in \mathrm{dom}(R) $ | | ||
| - | if | ||
| | @#55EE55: postulate | @#55EE55: $ \exists y.\ \langle x,y \rangle\in R $ | | | @#55EE55: postulate | @#55EE55: $ \exists y.\ \langle x,y \rangle\in R $ | | ||
