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Theorems · Theorem · measure theory

MeasureTheory.OuterMeasure.comap_map

∀ {α : Type u_1} {β : Type u_3} {f : α → β},
  Function.Injective f →
    ∀ (m : MeasureTheory.OuterMeasure α),
      (MeasureTheory.OuterMeasure.comap f) ((MeasureTheory.OuterMeasure.map f) m) = m
Defined in
Mathlib.MeasureTheory.OuterMeasure.Operations
Cited by
1 results in Mathlib
Foundations
Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
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Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.OuterMeasure.map_iInf · cited by 1OuterMeasure.map_iInfDFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetRingHom.id · cited by 18349RingHom.idLinearMap · cited by 10215LinearMapENNReal · cited by 9879ENNRealSet.image · cited by 5609Set.imageMeasureTheory.OuterMeasure · cited by 287MeasureTheory.OuterMeasureMeasureTheory.OuterMeasure.map · cited by 30OuterMeasure.mapFunction.Injective.preimage_image · cited by 30Injective.preimage_imageMeasureTheory.OuterMeasure.ext · cited by 24OuterMeasure.extMeasureTheory.OuterMeasure.comap · cited by 22OuterMeasure.comapMeasureTheory.OuterMeasure.comap_apply · cited by 6OuterMeasure.comap_applyMeasureTheory.OuterMeasure.map_apply · cited by 4OuterMeasure.map_applyOuterMeasure.comap_mapCITED BYCITES

Cites13

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Cited by1

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