Theorems · Theorem · special functions
Filter.Tendsto.arcsin_nhdsGE
∀ {α : Type u_1} {l : Filter α} {x : ℝ} {f : α → ℝ},
Filter.Tendsto f l (nhdsWithin x (Set.Ici x)) →
Filter.Tendsto (fun x => Real.arcsin (f x)) l (nhdsWithin (Real.arcsin x) (Set.Ici (Real.arcsin x)))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 189 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
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
- Filterstatement and proof · cited by 8,121
- Filter.Tendstostatement and proof · cited by 3,814
- nhdsWithinstatement and proof · cited by 1,912
- Set.Icistatement and proof · cited by 1,070
- Filter.Tendsto.compproof · cited by 560
- Continuous.tendstoproof · cited by 206
- Real.arcsinstatement · cited by 125
- Filter.Tendsto.infproof · cited by 32
- Set.MapsTo.tendstoproof · cited by 11
- Real.continuous_arcsinproof · cited by 8
- Real.arcsin_le_arcsinproof · cited by 2
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