Theorems · Theorem · special functions
Real.hasDerivAt_arcsin
∀ {x : ℝ}, x ≠ -1 → x ≠ 1 → HasDerivAt Real.arcsin (1 / √(1 - x ^ 2)) x- Cited by
- 5 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Realstatement and proof · cited by 25,697
- Real.sqrtstatement · cited by 545
- HasDerivAtstatement · cited by 493
- Real.arcsinstatement · cited by 125
- HasStrictDerivAt.hasDerivAtproof · cited by 52
- Real.hasStrictDerivAt_arcsinproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Real.differentiableAt_arcsinproof · cited by 4
- Real.hasDerivWithinAt_arcsin_Iciproof · cited by 2
- Real.hasDerivWithinAt_arcsin_Iicproof · cited by 2
- Real.hasDerivAt_arccosproof · cited by 2
- Real.deriv_arcsinproof · cited by 1