Theorems · Theorem · real analysis
isLittleO_log_rpow_nhdsGT_zero
∀ {r : ℝ}, r < 0 → Real.log =o[nhdsWithin 0 (Set.Ioi 0)] fun x => x ^ r- Cited by
- 1 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- nhdsWithinstatement · cited by 1,912
- absproof · cited by 1,814
- Set.Iccproof · cited by 1,702
- Set.Ioistatement · cited by 1,463
- neg_negproof · cited by 960
- Real.logstatement and proof · cited by 939
- Asymptotics.IsLittleOstatement · cited by 375
- Filter.mem_of_supersetproof · cited by 308
- Real.rpow_oneproof · cited by 114
- one_posproof · cited by 102
Cited by1
Results whose statement or proof uses this declaration.
- tendsto_log_div_rpow_nhdsGT_zeroproof · cited by 1