Theorems · Theorem · general topology
Filter.tendsto_finset_range
Filter.Tendsto Finset.range Filter.atTop Filter.atTop
- Defined in
- Mathlib.Order.Filter.AtTopBot.Finset
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Filter.Tendstostatement · cited by 3,814
- Filter.atTopstatement · cited by 2,405
- Finset.rangestatement · cited by 1,341
- Monotone.tendsto_atTop_atTopproof · cited by 13
- Finset.range_monoproof · cited by 6
- Finset.exists_nat_subset_rangeproof · cited by 3
Cited by15
Results whose statement or proof uses this declaration.
- HasSum.tendsto_sum_natproof · cited by 23
- HasProd.tendsto_prod_natproof · cited by 6
- hasSum_iff_tendsto_nat_of_summable_normproof · cited by 4
- HasProdLocallyUniformlyOn.tendstoLocallyUniformlyOn_finsetRangeproof · cited by 2
- NNReal.not_summable_iff_tendsto_nat_atTopproof · cited by 2
- AntitoneOn.tsum_comp_add_le_integralproof · cited by 2
- HasSumLocallyUniformlyOn.tendstoLocallyUniformlyOn_finsetRangeproof · cited by 1
- HasFPowerSeriesAt.eventually_hasSum_of_compproof · cited by 1
- HasSumUniformlyOn.tendstoUniformlyOn_finsetRangeproof · cited by 1
- HasProdUniformly.tendstoUniformlyOn_finsetRangeproof · cited by 0
- tendstoUniformlyOn_tsum_natproof · cited by 0
- tendstoUniformlyOn_tsum_nat_eventuallyproof · cited by 0