Theorems · Theorem · real analysis
Complex.hasStrictDerivAt_cpow_const
∀ {x c : ℂ}, x ∈ Complex.slitPlane → HasStrictDerivAt (fun z => z ^ c) (c * x ^ (c - 1)) x- Cited by
- 5 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.
Cites12
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
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- MulZeroClass.mul_zeroproof · cited by 2,091
- Complex.logproof · cited by 187
- HasStrictDerivAtstatement · cited by 163
- Complex.slitPlanestatement and proof · cited by 113
- HasStrictDerivAt.congr_simpproof · cited by 41
- hasStrictDerivAt_constproof · cited by 16
- hasStrictDerivAt_idproof · cited by 14
- HasStrictDerivAt.cpowproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- HasDerivAt.cpow_constproof · cited by 5
- Complex.hasStrictDerivAt_sqrtproof · cited by 1
- HasStrictDerivAt.cpow_constproof · cited by 0
- HasDerivWithinAt.cpow_constproof · cited by 0
- Complex.deriv_cpow_constproof · cited by 0