Theorems · Theorem · information theory
InformationTheory.strictConvexOn_klFun
StrictConvexOn ℝ (Set.Ici 0) InformationTheory.klFun
klFun is strictly convex on $[0,∞)$.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 213 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- StrictConvexOnstatement · cited by 84
- InformationTheory.klFunstatement · cited by 36
- convex_Iciproof · cited by 29
- convexOn_constproof · cited by 6
- StrictConvexOn.add_convexOnproof · cited by 5
- concaveOn_idproof · cited by 4
- Real.strictConvexOn_mul_logproof · cited by 3
- StrictConvexOn.sub_concaveOnproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- InformationTheory.convexOn_klFunproof · cited by 5
- InformationTheory.klFun_eq_zero_iffproof · cited by 1