Theorems · Theorem · special functions
Real.deriv_arcsin_aux
∀ {x : ℝ}, x ≠ -1 → x ≠ 1 → HasStrictDerivAt Real.arcsin (1 / √(1 - x ^ 2)) x ∧ ContDiffAt ℝ ⊤ Real.arcsin x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites41
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
- Top.topstatement and proof · cited by 9,680
- nhdsproof · cited by 5,554
- ENatstatement · cited by 4,985
- WithTopstatement · cited by 3,754
- Nat.cast_oneproof · cited by 2,501
- LT.lt.leproof · cited by 2,189
- Filter.EventuallyEqproof · cited by 1,912
- Nat.cast_zeroproof · cited by 1,870
- Real.piproof · cited by 1,774
- LT.lt.ne'proof · cited by 1,417
- Filter.Eventually.monoproof · cited by 646
Cited by2
Results whose statement or proof uses this declaration.
- Real.contDiffAt_arcsinproof · cited by 3
- Real.hasStrictDerivAt_arcsinproof · cited by 2