Theorems · Theorem · real analysis
Real.tendsto_abs_tan_atTop
∀ (k : ℤ),
Filter.Tendsto (fun x => |Real.tan x|) (nhdsWithin ((2 * ↑k + 1) * Real.pi / 2) {(2 * ↑k + 1) * Real.pi / 2}ᶜ)
Filter.atTop- Cited by
- 0 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
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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 · cited by 25,697
- Filter.Tendstostatement · cited by 3,814
- Compl.complstatement · cited by 2,925
- Filter.atTopstatement · cited by 2,405
- nhdsWithinstatement · cited by 1,912
- absstatement · cited by 1,814
- Real.pistatement · cited by 1,774
- Real.tanstatement · cited by 100
- Real.cos_eq_zero_iffproof · cited by 3
- Real.tendsto_abs_tan_of_cos_eq_zeroproof · cited by 2
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