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| Both sides previous revision Previous revision Next revision | Previous revision | ||
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unordered_pair [2014/12/05 01:04] nikolaj |
unordered_pair [2015/10/09 15:52] nikolaj |
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| | @#FFBB00: definiendum | @#FFBB00: $ x\in \{X,Y\} $ | | | @#FFBB00: definiendum | @#FFBB00: $ x\in \{X,Y\} $ | | ||
| | @#55EE55: postulate | @#55EE55: $ x = X \lor x = Y $ | | | @#55EE55: postulate | @#55EE55: $ x = X \lor x = Y $ | | ||
| - | ==== Discussion ==== | + | |
| + | ----- | ||
| + | $\{X,Y\} \equiv \{x \mid x = X \lor x = Y\}$ | ||
| + | |||
| + | === Discussion === | ||
| + | $\{X,X\} = \{x \mid x = X \lor x = X\} = \{x \mid x = X\} = \{X\}$ | ||
| === Reference === | === Reference === | ||
| Wikipedia: [[http://en.wikipedia.org/wiki/Axiom_of_pairing|Axiom of pairing]] | Wikipedia: [[http://en.wikipedia.org/wiki/Axiom_of_pairing|Axiom of pairing]] | ||
| - | ==== Parents ==== | + | |
| + | ----- | ||
| === Context === | === Context === | ||
| [[Sets]] | [[Sets]] | ||
