Theorems · Theorem · real analysis
Real.hasStrictDerivAt_arcosh
∀ {x : ℝ}, x ∈ Set.Ioi 1 → HasStrictDerivAt Real.arcosh (√(x ^ 2 - 1))⁻¹ x- Defined in
- Mathlib.Analysis.SpecialFunctions.Arcosh
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 214 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- le_of_ltproof · cited by 1,175
- ne_of_gtproof · cited by 637
- Real.sqrtstatement · cited by 545
- HasStrictDerivAtstatement and proof · cited by 163
- Real.sinhproof · cited by 142
- Real.arcoshstatement and proof · cited by 27
- OpenPartialHomeomorph.hasStrictDerivAt_symmproof · cited by 6
- Real.sinh_eq_zeroproof · cited by 3
- Real.hasStrictDerivAt_coshproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Real.hasDerivAt_arcoshproof · cited by 1