Theorems · Theorem · measure theory
tendsto_measure_Icc
∀ (μ : MeasureTheory.Measure ℝ) [MeasureTheory.IsFiniteMeasureOnCompacts μ] [MeasureTheory.NullSingletonClass μ] (b : ℝ), Filter.Tendsto (fun δ => μ (Set.Icc (b - δ) (b + δ))) (nhds 0) (nhds 0)
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
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
- Filterproof · cited by 8,121
- nhdsstatement and proof · cited by 5,554
- Filter.Tendstostatement and proof · cited by 3,814
- nhdsWithinproof · cited by 1,912
- Filter.EventuallyEqproof · cited by 1,912
- Nat.cast_zeroproof · cited by 1,870
- Set.Iccstatement and proof · cited by 1,702
Cited by1
Results whose statement or proof uses this declaration.
- intervalIntegral.continuous_parametric_primitive_of_continuousproof · cited by 1