Mathlib Map

Theorems · Definition · sequences and series

SummationFilter.filter

{β : Type u_4} → SummationFilter β → Filter (Finset β)

The filter

Defined in
Mathlib.Topology.Algebra.InfiniteSum.SummationFilter
Cited by
110 results in Mathlib
Foundations
Depth 1 from the axioms, rests on 4 definitions · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

HasSum · cited by 518HasSumHasProd · cited by 157HasProdSummationFilter.support · cited by 36SummationFilter.supportHasSum.map · cited by 32HasSum.mapHasSum.add · cited by 23HasSum.addNNReal.summable_coe · cited by 15NNReal.summable_coehasSum_zero · cited by 13hasSum_zeroHasProd.mul · cited by 11HasProd.mulSummationFilter.LeAtTop.le_atTop · cited by 9LeAtTop.le_atTopSummationFilter.comap · cited by 9SummationFilter.comapMeasurable.tsum · cited by 8Measurable.tsumNNReal.hasSum_coe · cited by 8NNReal.hasSum_coehasProd_one · cited by 7hasProd_oneSummationFilter.unconditional_filter · cited by 6SummationFilter.unconditi…Topology.IsClosedEmbedding.map_tsum · cited by 6IsClosedEmbedding.map_tsumFinset · cited by 13712FinsetFilter · cited by 8121FilterSummationFilter · cited by 607SummationFilterSummationFilter.filterCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by121

Results whose statement or proof uses this declaration.