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Theorems · Theorem · measure theory

IsCompact.everywherePosSubset

∀ {α : Type u_1} [inst : TopologicalSpace α] [inst_1 : MeasurableSpace α] {μ : MeasureTheory.Measure α} {s : Set α},
  IsCompact s → IsCompact (μ.everywherePosSubset s)
Defined in
Mathlib.MeasureTheory.Measure.EverywherePos
Cited by
2 results in Mathlib
Foundations
Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceMeasurableSpace
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Around this declaration

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

MeasureTheory.Measure.innerRegularWRT_preimage_one_hasCompactSupport_measure_ne_top_of_addGroup · cited by 1Measure.innerRegularWRT_p…MeasureTheory.Measure.innerRegularWRT_preimage_one_hasCompactSupport_measure_ne_top_of_group · cited by 1Measure.innerRegularWRT_p…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureIsOpen · cited by 2400IsOpenIsCompact · cited by 1282IsCompactMeasureTheory.Measure.everywherePosSubset · cited by 13Measure.everywherePosSubs…IsCompact.diff · cited by 8IsCompact.diffMeasureTheory.Measure.exists_isOpen_everywherePosSubset_eq_sdiff · cited by 4Measure.exists_isOpen_eve…IsCompact.everywherePosSubsetCITED BYCITES

Cites9

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Cited by2

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