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countable_union [2013/09/06 22:04] 127.0.0.1 external edit |
countable_union [2013/09/14 16:50] nikolaj |
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===== Countable union ===== | ===== Countable union ===== | ||
==== Definition ==== | ==== Definition ==== | ||
- | | @#88DDEE: $X$ | | + | | @#88DDEE: $A\in \mathrm{Sequence}(X) $ | |
- | | @#88DDEE: $A\in \mathrm{Sequence}(X)\ \lor\ A\in\mathrm{FinSequence}(X)$ | | + | |
| @#88DDEE: $n\in \mathbb N\cup\{\infty\}$ | | | @#88DDEE: $n\in \mathbb N\cup\{\infty\}$ | | ||
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==== Parents ==== | ==== Parents ==== | ||
=== Refinement of === | === Refinement of === | ||
- | [[Arbitrary union]] | + | [[Indexed union]] |
=== Requirements === | === Requirements === | ||
- | [[Sequence]], [[Finite sequence]] | + | [[Sequence]] |