Theorems · Theorem · special functions
Real.hasDerivWithinAt_arcsin_Ici
∀ {x : ℝ}, x ≠ -1 → HasDerivWithinAt Real.arcsin (1 / √(1 - x ^ 2)) (Set.Ici x) x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- TopologicalSpaceproof · cited by 24,529
- Moduleproof · cited by 20,661
- AddCommGroupproof · cited by 12,871
- NontriviallyNormedFieldproof · cited by 8,742
- Real.piproof · cited by 1,774
- eq_or_neproof · cited by 1,117
- Set.Icistatement and proof · cited by 1,070
- ContinuousSMulproof · cited by 1,016
- sub_selfproof · cited by 996
- Real.sqrtstatement and proof · cited by 545
Cited by2
Results whose statement or proof uses this declaration.
- Real.differentiableWithinAt_arcsin_Iciproof · cited by 2
- Real.hasDerivWithinAt_arccos_Iciproof · cited by 0