Theorems · Theorem · general topology
Filter.tendsto_add_atTop_nat
∀ (k : ℕ), Filter.Tendsto (fun a => a + k) Filter.atTop Filter.atTop
- Defined in
- Mathlib.Order.Filter.AtTopBot.Basic
- Cited by
- 19 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filter.Tendstostatement · cited by 3,814
- Filter.atTopstatement · cited by 2,405
- le_of_eqproof · cited by 366
- Filter.map_add_atTop_eq_natproof · cited by 5
Cited by19
Results whose statement or proof uses this declaration.
- MeasureTheory.VectorMeasure.tendsto_vectorMeasure_iUnion_atTop_natproof · cited by 3
- isCompact_setOfPred_finiteMeasure_mass_le_compl_isCompact_leproof · cited by 2
- MeasureTheory.measure_univ_of_isAddLeftInvariantproof · cited by 2
- Real.BohrMollerup.tendsto_logGammaSeqproof · cited by 2
- ZetaAsymptotics.termTSum_of_ltproof · cited by 2
- ZetaAsymptotics.term_tsum_oneproof · cited by 2
- controlled_sum_of_mem_closureproof · cited by 2
- MeasureTheory.measure_univ_of_isMulLeftInvariantproof · cited by 1
- Stirling.sqrt_pi_le_stirlingSeqproof · cited by 1
- MeasureTheory.SimpleFunc.tsum_eapproxDiffproof · cited by 1
- cauchySeq_shiftproof · cited by 1
- tendsto_div_of_monotone_of_tendsto_div_floor_powproof · cited by 1