Theorems · Theorem · measure theory
MeasureTheory.rnDeriv_ae_eq_condExp
∀ {α : Type u_1} {m m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {hm : m ≤ m0}
[hμm : MeasureTheory.SigmaFinite (μ.trim hm)] {f : α → ℝ},
MeasureTheory.Integrable f μ →
MeasureTheory.SignedMeasure.rnDeriv ((μ.withDensityᵥ f).trim hm) (μ.trim hm) =ᵐ[μ] μ[f | m]- Cited by
- 0 results in Mathlib
- Foundations
- Depth 299 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasureTheory.SigmaFinite
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Cites31
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- MeasureTheory.Integrablestatement and proof · cited by 1,367
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