Theorems · Theorem · information theory
InformationTheory.klFun_nonneg
∀ {x : ℝ}, 0 ≤ x → 0 ≤ InformationTheory.klFun xThe function klFun is nonnegative on [0,∞).
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 216 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- InformationTheory.klFunstatement · cited by 36
- InformationTheory.isMinOn_klFunproof · cited by 2
- InformationTheory.klFun_oneproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- InformationTheory.integral_llr_add_sub_measure_univ_nonnegproof · cited by 3
- InformationTheory.toReal_klDiv_eq_integral_klFunproof · cited by 3
- InformationTheory.klDiv_eq_lintegral_klFunproof · cited by 2
- InformationTheory.klFun_eq_zero_iffproof · cited by 1
- InformationTheory.klDiv_eq_zero_iffproof · cited by 0