Theorems · Theorem · special functions
Filter.Tendsto.arccos_nhdsLE
∀ {α : Type u_1} {l : Filter α} {x : ℝ} {f : α → ℝ},
Filter.Tendsto f l (nhdsWithin x (Set.Iic x)) →
Filter.Tendsto (fun x => Real.arccos (f x)) l (nhdsWithin (Real.arccos x) (Set.Ici (Real.arccos x)))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 190 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
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.Iicstatement and proof · cited by 1,111
- Set.Icistatement · cited by 1,070
- Filter.Tendsto.compproof · cited by 560
- Continuous.tendstoproof · cited by 206
- Real.arccosstatement · cited by 90
- Filter.Tendsto.infproof · cited by 32
- Set.MapsTo.tendstoproof · cited by 11
- Real.continuous_arccosproof · cited by 9
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