Theorems · Theorem · field theory
Polynomial.roots_comp_neg_X
∀ {R : Type u} [inst : CommRing R] [inst_1 : IsDomain R] (p : Polynomial R),
(p.comp (-Polynomial.X)).roots = Multiset.map (fun x => -x) p.roots- Defined in
- Mathlib.Algebra.Polynomial.Roots
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- Multisetstatement · cited by 2,627
- IsDomainstatement and proof · cited by 2,196
- Polynomial.Xstatement and proof · cited by 1,639
- map_zeroproof · cited by 1,614
- Polynomial.Cproof · cited by 1,598
- neg_negproof · cited by 960
- Multiset.mapstatement and proof · cited by 876
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