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Theorems · Theorem · measure theory

MeasureTheory.OuterMeasure.comap_apply

∀ {α : Type u_1} {β : Type u_3} (f : α → β) (m : MeasureTheory.OuterMeasure β) (s : Set α),
  ((MeasureTheory.OuterMeasure.comap f) m) s = m (f '' s)
Defined in
Mathlib.MeasureTheory.OuterMeasure.Operations
Cited by
6 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.Measure.comap_apply₀ · cited by 6Measure.comap_apply₀MeasureTheory.OuterMeasure.comap_ofFunction · cited by 2OuterMeasure.comap_ofFunc…MeasureTheory.OuterMeasure.comap_map · cited by 1OuterMeasure.comap_mapMeasureTheory.OuterMeasure.map_comap_of_surjective · cited by 1OuterMeasure.map_comap_of…MeasureTheory.Measure.comapₗ_apply · cited by 1Measure.comapₗ_applyMeasureTheory.OuterMeasure.comap_top · cited by 0OuterMeasure.comap_topDFunLike.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.comap · cited by 22OuterMeasure.comapOuterMeasure.comap_applyCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

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