Theorems · Theorem · complex analysis
Complex.cderiv_sub
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] {z : ℂ} {r : ℝ} {f g : ℂ → E},
0 < r →
ContinuousOn f (Metric.sphere z r) →
ContinuousOn g (Metric.sphere z r) → Complex.cderiv r (f - g) z = Complex.cderiv r f z - Complex.cderiv r g z- Cited by
- 1 results in Mathlib
- Foundations
- Depth 259 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Complexstatement and proof · cited by 5,565
- Norm.normproof · cited by 5,413
- LT.lt.leproof · cited by 2,189
- Real.piproof · cited by 1,774
- Complex.ofRealproof · cited by 1,654
- ContinuousOnstatement and proof · cited by 1,411
- LT.lt.neproof · cited by 872
- Complex.Iproof · cited by 866
- Metric.spherestatement and proof · cited by 371
Cited by1
Results whose statement or proof uses this declaration.
- Complex.norm_cderiv_sub_ltproof · cited by 1