Theorems · Theorem · real analysis
integral_log_from_zero
∀ {b : ℝ}, ∫ (s : ℝ) in 0..b, Real.log s = b * Real.log b - bHelper lemma for integral_log: case where a = 0.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 269 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
- MeasureTheory.Measureproof · cited by 10,939
- MulZeroClass.mul_zeroproof · cited by 2,091
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- sub_selfproof · cited by 996
- Real.logstatement and proof · cited by 939
- intervalIntegralstatement and proof · cited by 546
- neg_zeroproof · cited by 542
- lt_trichotomyproof · cited by 178
- Real.log_zeroproof · cited by 84
- intervalIntegral.integral_symmproof · cited by 35
- intervalIntegral.integral_sameproof · cited by 31
Cited by1
Results whose statement or proof uses this declaration.
- integral_logproof · cited by 0