Theorems · Theorem · real analysis
isLittleO_abs_log_rpow_rpow_nhdsGT_zero
∀ {s : ℝ} (r : ℝ), s < 0 → (fun x => |Real.log x| ^ r) =o[nhdsWithin 0 (Set.Ioi 0)] fun x => x ^ s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
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
- Set.ofPredproof · cited by 6,101
- LT.lt.leproof · cited by 2,189
- nhdsWithinstatement · cited by 1,912
- absstatement and proof · cited by 1,814
- Set.Iccproof · cited by 1,702
- Set.Ioistatement and proof · cited by 1,463
- Real.logstatement and proof · cited by 939
- Filter.Eventually.monoproof · cited by 646
- inv_invproof · cited by 494
- Asymptotics.IsLittleOstatement · cited by 375
- Filter.mem_of_supersetproof · cited by 308
Cited by1
Results whose statement or proof uses this declaration.
- isLittleO_log_rpow_nhdsGT_zeroproof · cited by 1