Theorems · Theorem · measure theory
MeasureTheory.Measure.finiteAt_nhdsWithin
∀ {α : Type u_1} [inst : TopologicalSpace α] {_m0 : MeasurableSpace α} (μ : MeasureTheory.Measure α)
[MeasureTheory.IsLocallyFiniteMeasure μ] (x : α) (s : Set α), μ.FiniteAtFilter (nhdsWithin x s)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- nhdsWithinstatement · cited by 1,912
- MeasureTheory.IsLocallyFiniteMeasurestatement and proof · cited by 171
- MeasureTheory.Measure.FiniteAtFilterstatement · cited by 35
- MeasureTheory.Measure.finiteAt_nhdsproof · cited by 10
- MeasureTheory.Measure.FiniteAtFilter.inf_of_leftproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- ContinuousOn.integrableAt_nhdsWithinproof · cited by 2
- ContinuousWithinAt.integral_sub_linear_isLittleO_aeproof · cited by 1
- ContinuousOn.integrableAt_nhdsWithin_of_isSeparableproof · cited by 0