Theorems · Theorem · field theory

coeff_minpolyDiv

∀ (R : Type u_2) {S : Type u_1} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] (x : S) (i : ℕ),
  (minpolyDiv R x).coeff i = (algebraMap R S) ((minpoly R x).coeff (i + 1)) + (minpolyDiv R x).coeff (i + 1) * x

Defined in

Mathlib.FieldTheory.Minpoly.MinpolyDiv

Cited by

2 results in Mathlib

Foundations

Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebra