Theorems · Theorem · complex analysis
Complex.tendsto_norm_tan_of_cos_eq_zero
∀ {x : ℂ}, Complex.cos x = 0 → Filter.Tendsto (fun x => ‖Complex.tan x‖) (nhdsWithin x {x}ᶜ) Filter.atTop- Cited by
- 3 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Norm.normstatement · cited by 5,413
- Filter.Tendstostatement and proof · cited by 3,814
- Compl.complstatement and proof · cited by 2,925
- add_zeroproof · cited by 2,707
- Filter.atTopstatement and proof · cited by 2,405
- MulZeroClass.mul_zeroproof · cited by 2,091
- nhdsWithinstatement and proof · cited by 1,912
- Filter.Tendsto.compproof · cited by 560
- sqproof · cited by 280
Cited by3
Results whose statement or proof uses this declaration.
- Complex.continuousAt_tanproof · cited by 2
- Real.tendsto_abs_tan_of_cos_eq_zeroproof · cited by 2
- Complex.tendsto_norm_tan_atTopproof · cited by 0