Theorems · Theorem · field theory

Polynomial.le_rootMultiplicity_map

∀ {A : Type u_1} {B : Type u_2} [inst : CommRing A] [inst_1 : CommRing B] {p : Polynomial A} {f : A →+* B},
  Polynomial.map f p ≠ 0 →
    ∀ (a : A), Polynomial.rootMultiplicity a p ≤ Polynomial.rootMultiplicity (f a) (Polynomial.map f p)

Defined in

Mathlib.Algebra.Polynomial.Roots

Cited by

1 results in Mathlib

Foundations

Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRing