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countable_union [2013/09/05 00:41] nikolaj |
countable_union [2014/03/21 11:11] (current) |
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| ===== Countable union ===== | ===== Countable union ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $X$ | | + | | @#55CCEE: context | @#55CCEE: $A\in \mathrm{Sequence}(X) $ | |
| - | | @#88DDEE: $A\in \mathrm{Sequence}(X)\ \lor\ A\in\mathrm{FinSequence}(X)$ | | + | | @#55CCEE: context | @#55CCEE: $n\in \mathbb N\cup\{\infty\}$ | |
| - | | @#88DDEE: $n\in \mathbb N\cup\{\infty\}$ | | + | |
| - | | @#FFBB00: $\bigcup_{j=1}^n A_j \equiv \bigcup A(\mathrm{range}(n))$ | | + | | @#FFBB00: definiendum | @#FFBB00: $\bigcup_{j=1}^n A_j \equiv \bigcup A(\mathrm{range}(n))$ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
| - | ==== Context ==== | + | ==== Parents ==== |
| === Refinement of === | === Refinement of === | ||
| - | [[Arbitrary union]] | + | [[Indexed union]] |
| - | === Requirements === | + | === Context === |
| - | [[Sequence]], [[Finite sequence]] | + | [[Sequence]] |
