Theorems · Theorem · complex analysis
Complex.tendsto_arg_nhdsWithin_im_neg_of_re_neg_of_im_zero
∀ {z : ℂ}, z.re < 0 → z.im = 0 → Filter.Tendsto Complex.arg (nhdsWithin z {z | z.im < 0}) (nhds (-Real.pi))- Cited by
- 1 results in Mathlib
- Foundations
- Depth 190 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites39
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
- Filterproof · cited by 8,121
- Set.ofPredstatement and proof · cited by 6,101
- Complexstatement and proof · cited by 5,565
- nhdsstatement and proof · cited by 5,554
- Norm.normproof · cited by 5,413
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.Eventuallyproof · cited by 3,134
- nhdsWithinstatement and proof · cited by 1,912
- Real.pistatement and proof · cited by 1,774
- Filter.univ_mem'proof · cited by 1,672
- Complex.ofRealproof · cited by 1,654
Cited by1
Results whose statement or proof uses this declaration.
- Complex.tendsto_log_nhdsWithin_im_neg_of_re_neg_of_im_zeroproof · cited by 0