Theorems · Theorem · field theory
Polynomial.roots_normalize
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : IsDomain R] [inst_2 : NormalizationMonoid R] {p : Polynomial R},
(normalize p).roots = p.roots- Defined in
- Mathlib.Algebra.Polynomial.FieldDivision
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- Multisetstatement and proof · cited by 2,627
- mul_commproof · cited by 2,262
- IsDomainstatement and proof · cited by 2,196
- Units.valproof · cited by 1,966
- Polynomial.leadingCoeffproof · cited by 498
- Polynomial.rootsstatement and proof · cited by 264
- NormalizationMonoidstatement and proof · cited by 165
- normalizestatement · cited by 137
- Units.ne_zeroproof · cited by 68
- NormalizationMonoid.normUnitproof · cited by 33
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