Theorems · Theorem · complex analysis
Complex.analyticOnNhd_canonicalFactor
∀ (R : ℝ) (w : ℂ), AnalyticOnNhd ℂ (Complex.canonicalFactor R w) {w}ᶜThe canonical factor CanonicalFactor R w is analytic on the complement of w.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Compl.complstatement and proof · cited by 2,925
- MulZeroClass.zero_mulproof · cited by 1,625
- eq_or_neproof · cited by 1,117
- starRingEndproof · cited by 671
- zero_powproof · cited by 361
- zero_subproof · cited by 335
- AnalyticAtproof · cited by 321
- div_zeroproof · cited by 251
Cited by4
Results whose statement or proof uses this declaration.
- Complex.meromorphicOrderAt_canonicalFactor_ne_topproof · cited by 1
- Complex.CanonicalDecomp.divisor_eq_divisorproof · cited by 1
- Complex.meromorphicNFOn_canonicalFactorproof · cited by 1