Theorems · Theorem · information theory
InformationTheory.hasDerivAt_klFun
∀ {x : ℝ}, x ≠ 0 → HasDerivAt InformationTheory.klFun (Real.log x) xThe derivative of klFun at x ≠ 0 is log x.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- TopologicalSpaceproof · cited by 24,529
- Moduleproof · cited by 20,661
- AddCommGroupproof · cited by 12,871
- NontriviallyNormedFieldproof · cited by 8,742
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- ContinuousSMulproof · cited by 1,016
- Real.logstatement and proof · cited by 939
- HasDerivAtstatement and proof · cited by 493
- InformationTheory.klFunstatement and proof · cited by 36
- hasDerivAt_idproof · cited by 36
Cited by3
Results whose statement or proof uses this declaration.
- InformationTheory.rightDeriv_klFunproof · cited by 3
- InformationTheory.deriv_klFunproof · cited by 2
- InformationTheory.leftDeriv_klFunproof · cited by 1