Theorems · Theorem · complex analysis
Complex.hasStrictDerivAt_sqrt
∀ {z : ℂ}, z ∈ Complex.slitPlane → HasStrictDerivAt Complex.sqrt (z ^ (-1 / 2) / 2) z- Defined in
- Mathlib.Analysis.Complex.SqrtDeriv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 214 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Complexstatement and proof · cited by 5,565
- Nat.cast_oneproof · cited by 2,501
- mul_commproof · cited by 2,262
- div_eq_mul_invproof · cited by 715
- HasStrictDerivAtstatement · cited by 163
- Complex.slitPlanestatement and proof · cited by 113
- Complex.sqrtstatement · cited by 32
- Complex.hasStrictDerivAt_cpow_constproof · cited by 5
- HasStrictDerivAt.congr_derivproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Complex.hasDerivAt_sqrtproof · cited by 3