Theorems · Theorem · complex analysis
Complex.meromorphic_canonicalFactor
∀ (R : ℝ) (w : ℂ), Meromorphic (Complex.canonicalFactor R w)
Canonical factors are meromorphic.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Complex.ofRealproof · cited by 1,654
- starRingEndproof · cited by 671
- Meromorphicstatement · cited by 108
- MeromorphicAt.constproof · cited by 36
- Complex.canonicalFactorstatement · cited by 20
- MeromorphicAt.idproof · cited by 18
- MeromorphicAt.fun_subproof · cited by 17
- MeromorphicAt.fun_mulproof · cited by 3
- MeromorphicAt.fun_divproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Complex.meromorphicNFOn_canonicalFactorproof · cited by 1
- Complex.ECanonicalDecomp.eq_smul_meromorphicTrailingCoeffAtproof · cited by 1
- Complex.meromorphicOrderAt_canonicalFactor_ne_topproof · cited by 1
- MeromorphicOn.exists_canonicalDecompproof · cited by 1
- Complex.divisor_canonicalFactorproof · cited by 0