Theorems · Theorem · measure theory
MeasureTheory.Measure.rnDeriv_le_one_of_le
∀ {α : Type u_1} {m : MeasurableSpace α} {μ ν : MeasureTheory.Measure α},
μ ≤ ν → ∀ [MeasureTheory.SigmaFinite ν], μ.rnDeriv ν ≤ᵐ[ν] 1- Cited by
- 2 results in Mathlib
- Foundations
- Depth 213 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasureTheory.SigmaFinite
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.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- Top.topproof · cited by 9,680
- LE.le.transproof · cited by 3,151
- MeasurableSetproof · cited by 3,075
- MeasureTheory.aestatement · cited by 2,352
- MeasureTheory.Measure.restrictproof · cited by 1,646
- MeasureTheory.lintegralproof · cited by 1,152
- MeasureTheory.SigmaFinitestatement and proof · cited by 526
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.rnDerivAux_le_oneproof · cited by 2
- MeasureTheory.Measure.rnDeriv_le_one_iff_leproof · cited by 0