Theorems · Theorem · real analysis
Real.continuous_mul_log
Continuous fun x => x * Real.log x
- Cited by
- 9 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.
Cites33
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- TopologicalSpaceproof · cited by 24,529
- Filterproof · cited by 8,121
- nhdsproof · cited by 5,554
- Set.univproof · cited by 3,945
- Filter.Tendstoproof · cited by 3,814
- Continuousstatement · cited by 2,592
- Set.extproof · cited by 2,266
- mul_commproof · cited by 2,262
- MulZeroClass.mul_zeroproof · cited by 2,091
- nhdsWithinproof · cited by 1,912
Cited by9
Results whose statement or proof uses this declaration.
- InformationTheory.continuous_klFunproof · cited by 4
- Real.strictConvexOn_mul_logproof · cited by 3
- intervalIntegral.intervalIntegrable_log'proof · cited by 2
- Real.continuous_negMulLogproof · cited by 1
- integral_log_from_zero_of_posproof · cited by 1
- InformationTheory.integrable_llr_of_integrable_llr_compProdproof · cited by 1
- Real.mul_log_strictAntiOnproof · cited by 0
- Real.mul_log_strictMonoOnproof · cited by 0
- Real.Continuous.mul_logproof · cited by 0