Theorems · Theorem · measure theory
MeasureTheory.tilted_of_not_aemeasurable
∀ {α : Type u_1} {mα : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f : α → ℝ}, ¬AEMeasurable f μ → μ.tilted f = 0- Defined in
- Mathlib.MeasureTheory.Measure.Tilted
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 254 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.Integrableproof · cited by 1,367
- Real.expproof · cited by 871
- AEMeasurablestatement and proof · cited by 840
- MeasureTheory.AEStronglyMeasurable.aemeasurableproof · cited by 73
- MeasureTheory.Measure.tiltedstatement · cited by 58
- Real.aemeasurable_of_aemeasurable_expproof · cited by 11
- MeasureTheory.tilted_of_not_integrableproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.setLIntegral_tilted'proof · cited by 2
- MeasureTheory.setIntegral_tilted'proof · cited by 2
- MeasureTheory.setIntegral_tiltedproof · cited by 1
- MeasureTheory.setLIntegral_tiltedproof · cited by 0