Theorems · Theorem · real analysis
Real.analyticAt_arcosh
∀ {x : ℝ}, x ∈ Set.Ioi 1 → AnalyticAt ℝ Real.arcosh xThe function Real.arcosh is real analytic.
- Defined in
- Mathlib.Analysis.SpecialFunctions.Arcosh
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 215 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.Ioistatement and proof · cited by 1,463
- AnalyticAtstatement · cited by 321
- Real.arcoshstatement · cited by 27
- ContDiffAt.analyticAtproof · cited by 11
- Real.contDiffAt_arcoshproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Real.analyticOnNhd_arcoshproof · cited by 0