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Theorems · Theorem · measure theory

MeasureTheory.IsLocallyFiniteMeasure.finiteAtNhds

∀ {α : Type u_1} {m0 : MeasurableSpace α} {inst : TopologicalSpace α} {μ : MeasureTheory.Measure α}
  [self : MeasureTheory.IsLocallyFiniteMeasure μ] (x : α), μ.FiniteAtFilter (nhds x)
Defined in
Mathlib.MeasureTheory.Measure.Typeclasses.Finite
Cited by
2 results in Mathlib
Foundations
Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasureTheory.IsLocallyFiniteMeasure
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.Measure.finiteAt_nhds · cited by 10Measure.finiteAt_nhdsMeasureTheory.Measure.isLocallyFiniteMeasure_of_le · cited by 1Measure.isLocallyFiniteMe…TopologicalSpace · cited by 24529TopologicalSpaceMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.Measurenhds · cited by 5554nhdsMeasureTheory.IsLocallyFiniteMeasure · cited by 171MeasureTheory.IsLocallyFi…MeasureTheory.Measure.FiniteAtFilter · cited by 35Measure.FiniteAtFilterIsLocallyFiniteMeasure.finite…CITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.