Theorems · Theorem · complex analysis
HasDerivAt.clog_real
∀ {f : ℝ → ℂ} {x : ℝ} {f' : ℂ},
HasDerivAt f f' x → f x ∈ Complex.slitPlane → HasDerivAt (fun t => Complex.log (f t)) (f' / f x) x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- HasDerivAtstatement and proof · cited by 493
- Complex.logstatement and proof · cited by 187
- div_eq_inv_mulproof · cited by 146
- Complex.slitPlanestatement and proof · cited by 113
- HasDerivAt.congr_simpproof · cited by 82
- HasStrictFDerivAt.hasFDerivAtproof · cited by 43
- HasFDerivAt.comp_hasDerivAtproof · cited by 10
- Complex.hasStrictFDerivAt_log_realproof · cited by 3
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