Theorems · Theorem · measure theory
MeasureTheory.SigmaFinite.of_map
∀ {α : Type u_1} {β : Type u_2} {m0 : MeasurableSpace α} [inst : MeasurableSpace β] (μ : MeasureTheory.Measure α)
{f : α → β},
AEMeasurable f μ → MeasureTheory.SigmaFinite (MeasureTheory.Measure.map f μ) → MeasureTheory.SigmaFinite μ- Cited by
- 4 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Top.topproof · cited by 9,680
- Set.preimageproof · cited by 4,946
- Set.univproof · cited by 3,945
- MeasurableSetproof · cited by 3,075
- MeasureTheory.Measure.mapstatement and proof · cited by 858
- AEMeasurablestatement and proof · cited by 840
- MeasureTheory.SigmaFinitestatement and proof · cited by 526
- Set.preimage_univproof · cited by 46
- MeasureTheory.spanningSetsproof · cited by 45
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.toReal_rnDeriv_mapproof · cited by 5
- MeasureTheory.Measure.pi_map_piproof · cited by 3
- MeasureTheory.rnDeriv_mapproof · cited by 1
- MeasureTheory.MeasurePreserving.sigmaFiniteproof · cited by 0