Theorems · Theorem · measure theory
MeasureTheory.Measure.rnDeriv_add_self
∀ {α : Type u_1} {m : MeasurableSpace α} (μ ν : MeasureTheory.Measure α) [MeasureTheory.SigmaFinite μ]
[MeasureTheory.SigmaFinite ν], μ.rnDeriv (ν + μ) =ᵐ[μ] fun x => (ν.rnDeriv μ x + 1)⁻¹- Cited by
- 2 results in Mathlib
- Foundations
- Depth 220 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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 and proof · cited by 9,879
- MeasureTheory.aestatement · cited by 2,352
- Filter.EventuallyEqstatement · 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
- MeasureTheory.Measure.AbsolutelyContinuousproof · cited by 325
- MeasureTheory.Measure.rnDerivstatement and proof · cited by 234
- Pi.add_applyproof · cited by 61
- inv_eq_iff_eq_invproof · cited by 17
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.rnDeriv_self_addproof · cited by 1
- MeasureTheory.Measure.rnDeriv_eq_div_rnDeriv_addproof · cited by 1