Theorems · Theorem · real analysis
ContinuousWithinAt.arsinh
∀ {X : Type u_1} [inst : TopologicalSpace X] {f : X → ℝ} {s : Set X} {a : X},
ContinuousWithinAt f s a → ContinuousWithinAt (fun x => Real.arsinh (f x)) s a- Defined in
- Mathlib.Analysis.SpecialFunctions.Arsinh
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 213 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousWithinAtstatement and proof · cited by 512
- Real.arsinhstatement · cited by 55
- Filter.Tendsto.arsinhproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ContinuousOn.arsinhproof · cited by 0