Theorems · Theorem · complex analysis
HasDerivWithinAt.clog
∀ {f : ℂ → ℂ} {f' x : ℂ} {s : Set ℂ},
HasDerivWithinAt f f' s x → f x ∈ Complex.slitPlane → HasDerivWithinAt (fun t => Complex.log (f t)) (f' / f x) s x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Complexstatement and proof · cited by 5,565
- HasDerivWithinAtstatement and proof · cited by 333
- Complex.logstatement and proof · cited by 187
- div_eq_inv_mulproof · cited by 146
- Complex.slitPlanestatement and proof · cited by 113
- HasStrictDerivAt.hasDerivAtproof · cited by 52
- HasDerivAt.comp_hasDerivWithinAtproof · cited by 21
- Complex.hasStrictDerivAt_logproof · cited by 8
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