Theorems · Theorem · real analysis
ENNReal.log_mul_add
∀ {x y : ENNReal}, (x * y).log = x.log + y.log- Cited by
- 4 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- Bot.botproof · cited by 4,720
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.cast_zeroproof · cited by 1,870
- MulZeroClass.zero_mulproof · cited by 1,625
- LT.lt.ne'proof · cited by 1,417
- Real.logproof · cited by 939
- ENNReal.toRealproof · cited by 859
- ERealstatement and proof · cited by 793
- mul_posproof · cited by 374
Cited by4
Results whose statement or proof uses this declaration.
- ExpGrowth.expGrowthInf_mul_leproof · cited by 2
- ExpGrowth.expGrowthSup_mul_leproof · cited by 1
- ExpGrowth.le_expGrowthInf_mulproof · cited by 1
- ExpGrowth.le_expGrowthSup_mulproof · cited by 1