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Theorems · Theorem · measure theory

MeasureTheory.OuterMeasure.map_iSup

∀ {α : Type u_1} {β : Type u_3} {ι : Sort u_4} (f : α → β) (m : ι → MeasureTheory.OuterMeasure α),
  (MeasureTheory.OuterMeasure.map f) (⨆ i, m i) = ⨆ i, (MeasureTheory.OuterMeasure.map f) (m i)
Defined in
Mathlib.MeasureTheory.OuterMeasure.Operations
Cited by
1 results in Mathlib
Foundations
Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

MeasureTheory.OuterMeasure.restrict_iSup · cited by 0OuterMeasure.restrict_iSupDFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetRingHom.id · cited by 18349RingHom.idLinearMap · cited by 10215LinearMapENNReal · cited by 9879ENNRealSet.preimage · cited by 4946Set.preimageiSup · cited by 2415iSupMeasureTheory.OuterMeasure · cited by 287MeasureTheory.OuterMeasureMeasureTheory.OuterMeasure.map · cited by 30OuterMeasure.mapMeasureTheory.OuterMeasure.ext · cited by 24OuterMeasure.extMeasureTheory.OuterMeasure.iSup_apply · cited by 9OuterMeasure.iSup_applyOuterMeasure.map_iSupCITED BYCITES

Cites11

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Cited by1

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