Theorems · Theorem · information theory
InformationTheory.convexOn_klFun
ConvexOn ℝ (Set.Ici 0) InformationTheory.klFun
klFun is convex on $[0,∞)$.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 214 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Set.Icistatement · cited by 1,070
- ConvexOnstatement · cited by 232
- InformationTheory.klFunstatement · cited by 36
- StrictConvexOn.convexOnproof · cited by 10
- InformationTheory.strictConvexOn_klFunproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- InformationTheory.isMinOn_klFunproof · cited by 2
- InformationTheory.klDiv_map_leproof · cited by 2
- InformationTheory.mul_klFun_le_toReal_klDivproof · cited by 1
- InformationTheory.integrable_llr_mapproof · cited by 1
- InformationTheory.convexOn_Ioi_klFunproof · cited by 0