Theorems · Theorem · complex analysis
Polynomial.C_eq_or_isOpenQuotientMap_eval
∀ (p : Polynomial ℂ), (∃ x, Polynomial.C x = p) ∨ IsOpenQuotientMap fun x => Polynomial.eval x p
- Defined in
- Mathlib.Analysis.Complex.OpenMapping
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 298 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Complexstatement and proof · cited by 5,565
- Polynomial.Cstatement and proof · cited by 1,598
- Polynomial.evalstatement and proof · cited by 796
- Iff.notproof · cited by 489
- IsOpenMapproof · cited by 253
- Polynomial.eval_Cproof · cited by 145
- IsOpenQuotientMapstatement · cited by 65
- Polynomial.natDegree_eq_zeroproof · cited by 14
- Polynomial.continuous_aevalproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.isOpenQuotientMap_evalproof · cited by 1