Theorems · Theorem · measure theory
tendsto_measure_Icc_nhdsWithin_right
∀ (μ : MeasureTheory.Measure ℝ) [MeasureTheory.IsFiniteMeasureOnCompacts μ] (b : ℝ),
Filter.Tendsto (fun δ => μ (Set.Icc (b - δ) (b + δ))) (nhdsWithin 0 (Set.Ici 0)) (nhds (μ {b}))- Cited by
- 1 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- nhdsstatement and proof · cited by 5,554
- Filter.Tendstostatement and proof · cited by 3,814
- add_zeroproof · cited by 2,707
- nhdsWithinstatement and proof · cited by 1,912
- Set.Iccstatement and proof · cited by 1,702
- Set.Ioiproof · cited by 1,463
- Set.Icistatement · cited by 1,070
Cited by1
Results whose statement or proof uses this declaration.
- tendsto_measure_Iccproof · cited by 1