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Theorems · Theorem · measure theory

MeasureTheory.innerRegularWRT_isCompact

∀ {α : Type u_1} [inst : MeasurableSpace α] [inst_1 : TopologicalSpace α] [SecondCountableTopology α]
  [TopologicalSpace.IsCompletelyPseudoMetrizableSpace α] [OpensMeasurableSpace α] (P : MeasureTheory.Measure α)
  [MeasureTheory.IsFiniteMeasure P], P.InnerRegularWRT IsCompact IsClosed
Defined in
Mathlib.MeasureTheory.Measure.RegularityCompacts
Cited by
1 results in Mathlib
Foundations
Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceTopologicalSpaceSecondCountableTopologyTopologicalSpace.IsCompletelyPseudoMetrizableSpaceOpensMeasurableSpaceMeasureTheory.IsFiniteMeasure
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Around this declaration

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

MeasureTheory.innerRegularWRT_isCompact_isOpen · cited by 0MeasureTheory.innerRegula…TopologicalSpace · cited by 24529TopologicalSpaceMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureIsClosed · cited by 1639IsClosedIsCompact · cited by 1282IsCompactMeasureTheory.IsFiniteMeasure · cited by 1078MeasureTheory.IsFiniteMea…SecondCountableTopology · cited by 750SecondCountableTopologyOpensMeasurableSpace · cited by 636OpensMeasurableSpaceMeasureTheory.Measure.InnerRegularWRT · cited by 44Measure.InnerRegularWRTTopologicalSpace.IsCompletelyPseudoMetrizableSpace · cited by 23TopologicalSpace.IsComple…MeasureTheory.innerRegularWRT_isCompact_closure · cited by 2MeasureTheory.innerRegula…MeasureTheory.innerRegularWRT_isCompact_closure_iff · cited by 2MeasureTheory.innerRegula…MeasureTheory.innerRegularWRT…CITED BYCITES

Cites12

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Cited by1

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