Theorems · Definition · number theory
Derivative.normalizedDerivOfComplex
(UpperHalfPlane → ℂ) → UpperHalfPlane → ℂ
Normalized derivative $D = \frac{1}{2\pi i} \frac{d}{dz}$.
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- Real.piproof · cited by 1,774
- Complex.ofRealproof · cited by 1,654
- Complex.Iproof · cited by 866
- OpenPartialHomeomorph.toFun'proof · cited by 745
- derivproof · cited by 676
- UpperHalfPlanestatement and proof · cited by 626
- UpperHalfPlane.coeproof · cited by 288
- UpperHalfPlane.ofComplexproof · cited by 59
Cited by18
Results whose statement or proof uses this declaration.
- Derivative.serreDerivativeproof · cited by 9
- Derivative.normalizedDerivOfComplex_smulstatement · cited by 2
- Derivative.normalizedDerivOfComplex_SL_slashstatement and proof · cited by 1
- Derivative.normalizedDerivOfComplex_addstatement · cited by 1
- Derivative.normalizedDerivOfComplex_mdifferentiablestatement · cited by 1
- Derivative.normalizedDerivOfComplex_mulstatement · cited by 1
- Derivative.normalizedDerivOfComplex_slashstatement · cited by 1
- Derivative.normalizedDerivOfComplex_substatement · cited by 1
- Derivative.normalizedDerivOfComplex_conststatement · cited by 0
- Derivative.normalizedDerivOfComplex_negstatement and proof · cited by 0
- Derivative.normalizedDerivOfComplex_powstatement · cited by 0
- Derivative.serreDerivative_addproof · cited by 0