Theorems · Theorem · measure theory

MeasurableEmbedding.sigmaFinite_map

∀ {α : Type u_1} {β : Type u_2} {m0 : MeasurableSpace α} [inst : MeasurableSpace β] {μ : MeasureTheory.Measure α}
  {f : α → β},
  MeasurableEmbedding f → ∀ [MeasureTheory.SigmaFinite μ], MeasureTheory.SigmaFinite (MeasureTheory.Measure.map f μ)

Defined in: Mathlib.MeasureTheory.Measure.Typeclasses.SFinite
Cited by: 3 results in Mathlib
Foundations: Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: MeasurableSpace MeasureTheory.SigmaFinite

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Cites27

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

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MeasureTheory.Measure.mapstatement · cited by 858
MeasureTheory.SigmaFinitestatement and proof · cited by 526

Cited by3

Results whose statement or proof uses this declaration.

MeasurableEmbedding.rnDeriv_mapproof · cited by 1
MeasurableEmbedding.rnDeriv_map_auxproof · cited by 1
MeasurableEquiv.sigmaFinite_mapproof · cited by 0