Theorems · Theorem · measure theory
Real.tendsto_Icc_vitaliFamily_right
∀ (x : ℝ),
Filter.Tendsto (fun y => Set.Icc x y) (nhdsWithin x (Set.Ioi x))
((IsUnifLocDoublingMeasure.vitaliFamily MeasureTheory.volume 1).filterAt x)- Defined in
- Mathlib.MeasureTheory.Covering.OneDim
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 261 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Filter.Tendstostatement · cited by 3,814
- nhdsWithinstatement · cited by 1,912
- Nat.cast_zeroproof · cited by 1,870
- Set.Iccstatement and proof · cited by 1,702
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- Set.Ioistatement and proof · cited by 1,463
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- le_of_not_gtproof · cited by 430
- lt_of_not_geproof · cited by 374
Cited by2
Results whose statement or proof uses this declaration.
- StieltjesFunction.ae_hasDerivAtproof · cited by 1
- LocallyIntegrable.ae_hasDerivAt_integralproof · cited by 1