Theorems · Theorem · measure theory
MeasureTheory.Measure.inv_rnDeriv
∀ {α : Type u_1} {m : MeasurableSpace α} {μ ν : MeasureTheory.Measure α} [MeasureTheory.SigmaFinite μ]
[MeasureTheory.SigmaFinite ν], μ.AbsolutelyContinuous ν → (μ.rnDeriv ν)⁻¹ =ᵐ[μ] ν.rnDeriv μ- Cited by
- 3 results in Mathlib
- Foundations
- Depth 219 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- MeasureTheory.SigmaFinitestatement and proof · cited by 526
- Filter.EventuallyEq.symmproof · cited by 408
- MeasureTheory.Measure.AbsolutelyContinuousstatement and proof · cited by 325
- MeasureTheory.Measure.withDensityproof · cited by 265
- MeasureTheory.Measure.rnDerivstatement and proof · cited by 234
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.neg_llrproof · cited by 2
- MeasureTheory.Measure.rnDeriv_add_selfproof · cited by 2
- MeasureTheory.Measure.inv_rnDeriv'proof · cited by 0