Theorems · Theorem · number theory
Derivative.normalizedDerivOfComplex_smul
∀ (c : ℂ) (F : UpperHalfPlane → ℂ), MDiff F → Derivative.normalizedDerivOfComplex (c • F) = c • Derivative.normalizedDerivOfComplex F
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- modelWithCornersSelfstatement and proof · cited by 920
- Complex.Iproof · cited by 866
- OpenPartialHomeomorph.toFun'proof · cited by 745
- derivproof · cited by 676
- UpperHalfPlanestatement and proof · cited by 626
- DifferentiableAtproof · cited by 617
- smul_eq_mulproof · cited by 357
- UpperHalfPlane.coeproof · cited by 288
- MDifferentiablestatement and proof · cited by 134
Cited by2
Results whose statement or proof uses this declaration.
- Derivative.serreDerivative_smulproof · cited by 0
- Derivative.normalizedDerivOfComplex_negproof · cited by 0