Theorems · Theorem · information theory
InformationTheory.klDiv_smul_same
∀ {α : Type u_1} {mα : MeasurableSpace α} {μ ν : MeasureTheory.Measure α} [MeasureTheory.IsFiniteMeasure μ]
[MeasureTheory.IsFiniteMeasure ν] (c : NNReal),
InformationTheory.klDiv (c • μ) (c • ν) = ↑c * InformationTheory.klDiv μ ν- Cited by
- 0 results in Mathlib
- Foundations
- Depth 271 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
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
- Top.topproof · cited by 9,680
- NNRealstatement and proof · cited by 4,310
- MulZeroClass.zero_mulproof · cited by 1,625
- one_smulproof · cited by 1,374
- MeasureTheory.Integrableproof · cited by 1,367
- ENNReal.ofNNRealstatement and proof · cited by 1,279
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- ENNReal.ofRealproof · cited by 863
- ENNReal.toRealproof · cited by 859
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.