Theorems · Theorem · complex analysis
Complex.hasDerivWithinAt_sqrt
∀ {z : ℂ} {s : Set ℂ}, z ∈ Complex.slitPlane → HasDerivWithinAt Complex.sqrt (z ^ (-1 / 2) / 2) s z- Defined in
- Mathlib.Analysis.Complex.SqrtDeriv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 216 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Complexstatement and proof · cited by 5,565
- HasDerivWithinAtstatement · cited by 333
- Complex.slitPlanestatement and proof · cited by 113
- HasDerivAt.hasDerivWithinAtproof · cited by 86
- Complex.sqrtstatement · cited by 32
- Complex.hasDerivAt_sqrtproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Complex.derivWithin_sqrtproof · cited by 0