Theorems · Theorem · real analysis
strictConcaveOn_sqrt_mul_log_Ioi
StrictConcaveOn ℝ (Set.Ioi 1) fun x => √x * Real.log x
- Cited by
- 1 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.
Cites23
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.Ioistatement and proof · cited by 1,463
- Real.logstatement · cited by 939
- ne_of_gtproof · cited by 637
- zero_lt_oneproof · cited by 598
- Real.sqrtstatement · cited by 545
- mul_posproof · cited by 374
- LT.lt.transproof · cited by 370
- Continuous.continuousOnproof · cited by 311
- pow_posproof · cited by 292
- neg_neg_of_posproof · cited by 227
- ContinuousOn.monoproof · cited by 156
Cited by1
Results whose statement or proof uses this declaration.
- Bertrand.real_main_inequalityproof · cited by 1