Theorems · Theorem · complex analysis
Complex.tendsto_log_nhdsWithin_im_nonneg_of_re_neg_of_im_zero
∀ {z : ℂ},
z.re < 0 →
z.im = 0 → Filter.Tendsto Complex.log (nhdsWithin z {z | 0 ≤ z.im}) (nhds (↑(Real.log ‖z‖) + ↑Real.pi * Complex.I))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Set.ofPredstatement and proof · cited by 6,101
- Complexstatement and proof · cited by 5,565
- nhdsstatement and proof · cited by 5,554
- Norm.normstatement and proof · cited by 5,413
- Filter.Tendstostatement and proof · cited by 3,814
- nhdsWithinstatement and proof · cited by 1,912
- Real.pistatement · cited by 1,774
- Complex.ofRealstatement and proof · cited by 1,654
- Real.logstatement and proof · cited by 939
- Complex.restatement and proof · cited by 882
- Complex.Istatement and proof · cited by 866
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