Theorems · Theorem · measure theory
MeasureTheory.Measure.finiteAt_nhds
∀ {α : Type u_1} {m0 : MeasurableSpace α} [inst : TopologicalSpace α] (μ : MeasureTheory.Measure α)
[MeasureTheory.IsLocallyFiniteMeasure μ] (x : α), μ.FiniteAtFilter (nhds x)- Cited by
- 10 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- nhdsstatement · cited by 5,554
- MeasureTheory.IsLocallyFiniteMeasurestatement and proof · cited by 171
- MeasureTheory.Measure.FiniteAtFilterstatement · cited by 35
- MeasureTheory.IsLocallyFiniteMeasure.finiteAtNhdsproof · cited by 2
Cited by10
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.exists_isOpen_measure_lt_topproof · cited by 4
- intervalIntegral.FTCFilter.finiteAt_innerproof · cited by 4
- VitaliFamily.eventually_measure_lt_topproof · cited by 4
- MeasureTheory.Measure.finiteAt_nhdsWithinproof · cited by 3
- MeasureTheory.MemLp.locallyIntegrableproof · cited by 3
- IsCompact.exists_open_superset_measure_lt_topproof · cited by 1
- Monotone.locallyIntegrableproof · cited by 1
- MeasureTheory.IsLocallyFiniteMeasure.withDensity_coeproof · cited by 1
- Vitali.exists_disjoint_covering_aeproof · cited by 1
- ContinuousAt.integral_sub_linear_isLittleO_aeproof · cited by 0