Theorems · Definition · sequences and series
SummationFilter.unconditional
(β : Type u_2) → SummationFilter β
Unconditional summation: a function on β is said to be unconditionally summable if its
partial sums over finite subsets converge with respect to the atTop filter.
- Cited by
- 2,068 results in Mathlib
- Foundations
- Depth 55 from the axioms, rests on 881 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filter.atTopproof · cited by 2,405
- SummationFilterstatement · cited by 607
Cited by2,155
Results whose statement or proof uses this declaration.
- tsumstatement · cited by 1,148
- Summablestatement · cited by 778
- HasSumstatement · cited by 518
- tprodstatement · cited by 230
- Multipliablestatement · cited by 213
- Summable.hasSumproof · cited by 184
- HasProdstatement · cited by 157
- PMFproof · cited by 127
- Multipliable.hasProdproof · cited by 88
- LSeriesproof · cited by 77
- ENNReal.summablestatement · cited by 59
- LSeriesSummableproof · cited by 59
Showing the 200 most cited of 2,155.