Theorems · Theorem · measure theory
MeasureTheory.llr_self
∀ {α : Type u_1} {mα : MeasurableSpace α} (μ : MeasureTheory.Measure α) [MeasureTheory.SigmaFinite μ],
MeasureTheory.llr μ μ =ᵐ[μ] 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 215 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.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- 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
- Real.logproof · cited by 939
- ENNReal.toRealproof · cited by 859
- MeasureTheory.SigmaFinitestatement and proof · cited by 526
- MeasureTheory.Measure.rnDerivproof · cited by 234
- Real.log_oneproof · cited by 91
Cited by1
Results whose statement or proof uses this declaration.
- InformationTheory.klDiv_selfproof · cited by 4