Theorems · Theorem · field theory

Polynomial.aroots_X_sub_C

∀ {S : Type v} {T : Type w} [inst : CommRing T] [inst_1 : CommRing S] [inst_2 : IsDomain S] [inst_3 : Algebra T S]
  (r : T), (Polynomial.X - Polynomial.C r).aroots S = {(algebraMap T S) r}

Defined in

Mathlib.Algebra.Polynomial.Roots

Cited by

2 results in Mathlib

Foundations

Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingIsDomainAlgebra