Theorems · Theorem · real analysis
isLittleO_log_rpow_rpow_atTop
∀ {s : ℝ} (r : ℝ), 0 < s → (fun x => Real.log x ^ r) =o[Filter.atTop] fun x => x ^ s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
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
- Nat.cast_oneproof · cited by 2,501
- Filter.atTopstatement · cited by 2,405
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- LT.lt.ne'proof · cited by 1,417
- le_of_ltproof · cited by 1,175
- Real.logstatement and proof · cited by 939
- Filter.Eventually.monoproof · cited by 646
- lt_of_lt_of_leproof · cited by 438
- Asymptotics.IsLittleOstatement · cited by 375
- div_posproof · cited by 337
Cited by1
Results whose statement or proof uses this declaration.
- isLittleO_abs_log_rpow_rpow_nhdsGT_zeroproof · cited by 1