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Theorems · Theorem · measure theory

MeasureTheory.Content.outerMeasure_le

∀ {G : Type w} [inst : TopologicalSpace G] (μ : MeasureTheory.Content G) [R1Space G] (U : TopologicalSpace.Opens G)
  (K : TopologicalSpace.Compacts G), ↑U ⊆ ↑K → μ.outerMeasure ↑U ≤ μ K
Defined in
Mathlib.MeasureTheory.Measure.Content
Cited by
1 results in Mathlib
Foundations
Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceR1Space
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Around this declaration

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

MeasureTheory.Content.outerMeasure_lt_top_of_isCompact · cited by 2Content.outerMeasure_lt_t…DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceENNReal · cited by 9879ENNRealSetLike.coe · cited by 8199SetLike.coeLE.le.trans · cited by 3151le.transTopologicalSpace.Opens · cited by 2040TopologicalSpace.OpensEq.le · cited by 605Eq.leTopologicalSpace.Compacts · cited by 386TopologicalSpace.CompactsMeasureTheory.OuterMeasure · cited by 287MeasureTheory.OuterMeasureR1Space · cited by 125R1SpaceMeasureTheory.Content · cited by 60MeasureTheory.ContentMeasureTheory.Content.outerMeasure · cited by 24Content.outerMeasureMeasureTheory.Content.outerMeasure_opens · cited by 6Content.outerMeasure_opensMeasureTheory.Content.innerContent_le · cited by 2Content.innerContent_leContent.outerMeasure_leCITED BYCITES

Cites15

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Cited by1

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