Theorems · Theorem · real analysis
isLittleO_log_rpow_atTop
∀ {r : ℝ}, 0 < r → Real.log =o[Filter.atTop] fun x => x ^ r- Cited by
- 3 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- LT.lt.ne'proof · cited by 1,417
- Real.logstatement and proof · cited by 939
- Filter.Eventually.monoproof · cited by 646
- Asymptotics.IsLittleOstatement · cited by 375
- Filter.eventually_gt_atTopproof · cited by 90
- Real.log_rpowproof · cited by 31
- Asymptotics.IsLittleO.comp_tendstoproof · cited by 18
- tendsto_rpow_atTopproof · cited by 12
- Asymptotics.isBigO_self_const_mulproof · cited by 5
- Real.isLittleO_log_id_atTopproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- isBigO_rpow_top_log_smulproof · cited by 1
- isBigO_rpow_zero_log_smulproof · cited by 1
- isLittleO_log_rpow_rpow_atTopproof · cited by 1