Theorems · Theorem · field theory

ConjRootClass.minpoly.map_eq_prod

∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] [Algebra.IsSeparable K L]
  [Normal K L] (c : ConjRootClass K L) [inst_5 : Fintype ↑c.carrier],
  Polynomial.map (algebraMap K L) c.minpoly = ∏ x ∈ c.carrier.toFinset, (Polynomial.X - Polynomial.C x)

Defined in

Mathlib.FieldTheory.Minpoly.ConjRootClass

Cited by

0 results in Mathlib

Foundations

Depth 140 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebraAlgebra.IsSeparableNormalFintype