Theorems · Theorem · real analysis
Real.tendsto_log_nhdsNE_zero
Filter.Tendsto Real.log (nhdsWithin 0 {0}ᶜ) Filter.atBot- Cited by
- 8 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Filter.Tendstostatement and proof · cited by 3,814
- Compl.complstatement and proof · cited by 2,925
- nhdsWithinstatement and proof · cited by 1,912
- Real.logstatement · cited by 939
- Filter.Tendsto.compproof · cited by 560
- Filter.atBotstatement and proof · cited by 512
- Real.log_absproof · cited by 17
- Real.tendsto_log_nhdsGT_zeroproof · cited by 5
- tendsto_abs_nhdsNE_zeroproof · cited by 2
Cited by8
Results whose statement or proof uses this declaration.
- Real.continuousAt_log_iffproof · cited by 2
- Real.not_continuousAt_log_log_oneproof · cited by 2
- not_intervalIntegrable_of_sub_inv_isBigO_puncturedproof · cited by 2
- Real.continuousAt_rpow_of_posproof · cited by 1
- Real.not_continuousAt_log_log_zeroproof · cited by 1
- Real.tendsto_log_nhdsLT_zeroproof · cited by 1
- Real.tendsto_logb_nhdsNE_zeroproof · cited by 1
- Real.tendsto_logb_nhdsNE_zero_of_base_lt_oneproof · cited by 1