Theorems · Theorem · commutative algebra
Polynomial.leadingCoeff_smul_integralNormalization
∀ {S : Type v} [inst : CommSemiring S] (p : Polynomial S),
p.leadingCoeff • p.integralNormalization = p.scaleRoots p.leadingCoeff- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomproof · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- mul_commproof · cited by 2,262
- Polynomial.Cproof · cited by 1,598
- Polynomial.leadingCoeffstatement and proof · cited by 498
- Algebra.smul_defproof · cited by 287
- Polynomial.scaleRootsstatement and proof · cited by 56
- Polynomial.integralNormalizationstatement and proof · cited by 24
- Polynomial.algebraMap_eqproof · cited by 3
- Polynomial.integralNormalization_mul_C_leadingCoeffproof · cited by 2
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