Theorems · Theorem · commutative algebra
Polynomial.resultant_integralNormalization
∀ {R : Type u_1} [inst : CommRing R] (f g : Polynomial R),
g.natDegree ≠ 0 →
(f.scaleRoots g.leadingCoeff).resultant g.integralNormalization =
g.leadingCoeff ^ (f.natDegree * (g.natDegree - 1)) * f.resultant g- Cited by
- 0 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites48
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
- RingHomproof · cited by 10,189
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- Algebra.algebraMapproof · cited by 4,706
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- MvPolynomialproof · cited by 2,140
- MulZeroClass.mul_zeroproof · cited by 2,091
- mul_assocproof · cited by 1,667
- MulZeroClass.zero_mulproof · cited by 1,625
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