Theorems · Theorem · real analysis
Real.isBigO_log_const_mul_log_atTop
∀ (c : ℝ), (fun x => Real.log (c * x)) =O[Filter.atTop] Real.log
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 179 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
- Filter.atTopstatement and proof · cited by 2,405
- Filter.univ_mem'proof · cited by 1,672
- MulZeroClass.zero_mulproof · cited by 1,625
- Filter.mp_memproof · cited by 1,537
- LT.lt.ne'proof · cited by 1,417
- eq_or_neproof · cited by 1,117
- Real.logstatement and proof · cited by 939
- Asymptotics.IsBigOstatement and proof · cited by 506
- Filter.eventually_gt_atTopproof · cited by 90
- Real.log_zeroproof · cited by 84
- Real.log_mulproof · cited by 52
Cited by2
Results whose statement or proof uses this declaration.
- Real.isBigO_logb_const_mul_log_atTopproof · cited by 1
- Real.isBigO_log_mul_const_log_atTopproof · cited by 0