Theorems · Theorem · special functions
Complex.tendsto_exp_nhds_zero_iff
∀ {α : Type u_1} {l : Filter α} {f : α → ℂ},
Filter.Tendsto (fun x => Complex.exp (f x)) l (nhds 0) ↔ Filter.Tendsto (fun x => (f x).re) l Filter.atBot- Defined in
- Mathlib.Analysis.SpecialFunctions.Exp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Filterstatement and proof · cited by 8,121
- Complexstatement and proof · cited by 5,565
- nhdsstatement and proof · cited by 5,554
- Filter.Tendstostatement and proof · cited by 3,814
- Complex.restatement and proof · cited by 882
- Complex.expstatement · cited by 612
- Filter.atBotstatement and proof · cited by 512
- Complex.comap_exp_nhds_zeroproof · cited by 4
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