Theorems · Theorem · complex analysis
DifferentiableAt.clog
∀ {E : Type u_2} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] {f : E → ℂ} {x : E},
DifferentiableAt ℂ f x → f x ∈ Complex.slitPlane → DifferentiableAt ℂ (fun t => Complex.log (f t)) x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Complexstatement and proof · cited by 5,565
- DifferentiableAtstatement and proof · cited by 617
- Complex.logstatement · cited by 187
- DifferentiableAt.hasFDerivAtproof · cited by 134
- Complex.slitPlanestatement and proof · cited by 113
- HasFDerivAt.differentiableAtproof · cited by 83
- HasFDerivAt.clogproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- analyticAt_clogproof · cited by 6
- Differentiable.clogproof · cited by 0