Theorems · Theorem · real analysis
Real.isLittleO_const_log_atTop
∀ {c : ℝ}, (fun x => c) =o[Filter.atTop] Real.log- Cited by
- 5 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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 · cited by 2,405
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- Real.logstatement and proof · cited by 939
- Asymptotics.IsLittleOstatement · cited by 375
- Real.log_oneproof · cited by 91
- Filter.eventually_gt_atTopproof · cited by 90
- Real.log_zeroproof · cited by 84
- Real.log_posproof · cited by 51
- Real.log_neg_eq_logproof · cited by 27
- Real.tendsto_log_atTopproof · cited by 26
Cited by5
Results whose statement or proof uses this declaration.
- AkraBazziRecurrence.isLittleO_self_div_log_idproof · cited by 2
- Real.isBigO_log_const_mul_log_atTopproof · cited by 2
- Function.locallyFinsuppWithin.logCounting_single_isBigO_logproof · cited by 1
- Function.locallyFinsuppWithin.one_isLittleO_logCounting_singleproof · cited by 1
- AkraBazziRecurrence.isEquivalent_smoothingFn_sub_selfproof · cited by 1