Theorems · Theorem · measure theory
MeasureTheory.neg_llr
∀ {α : Type u_1} {mα : MeasurableSpace α} {μ ν : MeasureTheory.Measure α} [MeasureTheory.SigmaFinite μ]
[MeasureTheory.SigmaFinite ν], μ.AbsolutelyContinuous ν → -MeasureTheory.llr μ ν =ᵐ[μ] MeasureTheory.llr ν μ- 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.
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · 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
- Real.logproof · cited by 939
- ENNReal.toRealproof · cited by 859
- MeasureTheory.SigmaFinitestatement and proof · cited by 526
- MeasureTheory.Measure.AbsolutelyContinuousstatement and proof · cited by 325
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.exp_neg_llrproof · cited by 0
- MeasureTheory.exp_neg_llr'proof · cited by 0