Theorems · Theorem · complex analysis
Complex.meromorphicOrderAt_canonicalFactor_ne_top
∀ {z : ℂ} {R : ℝ} (w : ℂ), 0 < R → meromorphicOrderAt (Complex.canonicalFactor R w) z ≠ ⊤Canonical factors are nowhere locally constant zero.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- Top.topstatement and proof · cited by 9,680
- Complexstatement and proof · cited by 5,565
- WithTopstatement · cited by 3,754
- MulZeroClass.mul_zeroproof · cited by 2,091
- Complex.ofRealproof · cited by 1,654
- sub_zeroproof · cited by 938
- starRingEndproof · cited by 671
- ne_of_gtproof · cited by 637
- mul_negproof · cited by 590
- zero_subproof · cited by 335
Cited by1
Results whose statement or proof uses this declaration.
- Complex.ECanonicalDecomp.eq_smul_meromorphicTrailingCoeffAtproof · cited by 1