Theorems · Theorem · complex analysis
Polynomial.isOpenQuotientMap_eval
∀ (p : Polynomial ℂ), p.natDegree ≠ 0 → IsOpenQuotientMap fun x => Polynomial.eval x p
- Defined in
- Mathlib.Analysis.Complex.OpenMapping
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 299 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Polynomialstatement and proof · cited by 5,681
- Complexstatement and proof · cited by 5,565
- Polynomial.natDegreestatement and proof · cited by 1,105
- Polynomial.evalstatement · cited by 796
- Iff.notproof · cited by 489
- IsOpenQuotientMapstatement · cited by 65
- Polynomial.natDegree_eq_zeroproof · cited by 14
- Polynomial.C_eq_or_isOpenQuotientMap_evalproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Complex.isOpenQuotientMap_powproof · cited by 1