Theorems · Theorem · real analysis
Real.deriv_log_log_apply
∀ {x : ℝ}, deriv (fun x => Real.log (Real.log x)) x = x⁻¹ / Real.log x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Real.logstatement and proof · cited by 939
- ContinuousAtproof · cited by 697
- derivstatement · cited by 676
- inv_oneproof · cited by 301
- div_zeroproof · cited by 251
- inv_zeroproof · cited by 184
- Real.log_oneproof · cited by 91
- Real.log_zeroproof · cited by 84
- inv_negproof · cited by 42
- deriv_zero_of_not_differentiableAtproof · cited by 34
- DifferentiableAt.continuousAtproof · cited by 28
Cited by2
Results whose statement or proof uses this declaration.
- Real.deriv_log_logproof · cited by 1
- integral_inv_div_logproof · cited by 0