Theorems · Theorem · field theory
Polynomial.rootMultiplicity_le_rootMultiplicity_of_dvd
∀ {R : Type u} [inst : CommRing R] {p q : Polynomial R},
q ≠ 0 → p ∣ q → ∀ (x : R), Polynomial.rootMultiplicity x p ≤ Polynomial.rootMultiplicity x q- Defined in
- Mathlib.Algebra.Polynomial.Div
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- Polynomial.rootMultiplicitystatement · cited by 79
- Polynomial.le_rootMultiplicity_mulproof · cited by 1
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