Theorems · Theorem · complex analysis
Differentiable.deriv
∀ {E : Type u} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] [CompleteSpace E] {f : ℂ → E},
Differentiable ℂ f → Differentiable ℂ (deriv f)- Defined in
- Mathlib.Analysis.Complex.CauchyIntegral
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 288 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Complexstatement and proof · cited by 5,565
- CompleteSpacestatement and proof · cited by 2,532
- derivstatement · cited by 676
- Differentiablestatement and proof · cited by 298
- Differentiable.contDiffproof · cited by 3
- ContDiff.differentiable_deriv_twoproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- log_deriv_riemannZeta_add_inv_sub_sub_isBigOproof · cited by 1
- deriv_riemannZeta_add_inv_sub_sq_boundedproof · cited by 0