Theorems · Theorem · field theory

ConjRootClass.aeval_minpoly_iff

∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] [Algebra.IsAlgebraic K L]
  (x : L) (c : ConjRootClass K L), (Polynomial.aeval x) c.minpoly = 0 ↔ ConjRootClass.mk K x = c

Defined in

Mathlib.FieldTheory.Minpoly.ConjRootClass

Cited by

1 results in Mathlib

Foundations

Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebraAlgebra.IsAlgebraic