Theorems · Theorem · real analysis
Real.strictConvexOn_mul_log
StrictConvexOn ℝ (Set.Ici 0) fun x => x * Real.log x
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Set.Icistatement and proof · cited by 1,070
- Real.logstatement · cited by 939
- interiorproof · cited by 714
- Continuous.continuousOnproof · cited by 311
- inv_pos_of_posproof · cited by 123
- StrictConvexOnstatement · cited by 84
- convex_Iciproof · cited by 29
- interior_Ici'proof · cited by 13
- Real.continuous_mul_logproof · cited by 9
- Real.deriv2_mul_logproof · cited by 2
- strictConvexOn_of_deriv2_posproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- InformationTheory.strictConvexOn_klFunproof · cited by 2
- Real.convexOn_mul_logproof · cited by 1
- Real.strictConcaveOn_negMulLogproof · cited by 1