Theorems · Theorem · real analysis
Real.hasStrictDerivAt_arsinh
∀ (x : ℝ), HasStrictDerivAt Real.arsinh (√(1 + x ^ 2))⁻¹ x
- Defined in
- Mathlib.Analysis.SpecialFunctions.Arsinh
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- OpenPartialHomeomorph.symmproof · cited by 460
- Set.mem_univproof · cited by 416
- HasStrictDerivAtstatement and proof · cited by 163
Cited by3
Results whose statement or proof uses this declaration.
- Real.hasDerivAt_arsinhproof · cited by 5
- HasStrictFDerivAt.arsinhproof · cited by 0
- HasStrictDerivAt.arsinhproof · cited by 0