Theorems · Theorem · special functions
Real.contDiffAt_arcsin_iff
∀ {x : ℝ} {n : WithTop ℕ∞}, ContDiffAt ℝ n Real.arcsin x ↔ n = 0 ∨ x ≠ -1 ∧ x ≠ 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 213 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- ContDiffAtstatement and proof · cited by 262
- Real.arcsinstatement and proof · cited by 125
- ContDiff.contDiffAtproof · cited by 106
- ContDiffAt.differentiableAtproof · cited by 14
- contDiff_zeroproof · cited by 9
- Real.continuous_arcsinproof · cited by 8
- Real.differentiableAt_arcsinproof · cited by 4
- Real.contDiffAt_arcsinproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Real.contDiffAt_arccos_iffproof · cited by 0