Theorems · Theorem · real analysis
Real.posLog_pow
∀ (n : ℕ) (x : ℝ), (x ^ n).posLog = ↑n * x.posLog
The function log⁺ commutes with taking powers.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- LT.lt.leproof · cited by 2,189
- MulZeroClass.mul_zeroproof · cited by 2,091
- absproof · cited by 1,814
- MulZeroClass.zero_mulproof · cited by 1,625
- pow_zeroproof · cited by 1,094
- Real.logproof · cited by 939
- CharP.cast_eq_zeroproof · cited by 357
- not_leproof · cited by 328
- Real.posLogstatement and proof · cited by 61
- abs_powproof · cited by 36
- Real.log_powproof · cited by 29
Cited by1
Results whose statement or proof uses this declaration.
- ValueDistribution.proximity_pow_topproof · cited by 2