proposition: Lemma root_annul_algcreal (x : algcreal) : ((annul_alg (\pi x)).[x] == 0)%CR.
proof: Proof. by unlock annul_alg; rewrite /= -pi_algK root_annul_creal. Qed.
imports: HB(structures) mathcomp.ssreflect.ssreflect mathcomp(ssrfun ssrbool eqtype ssrnat seq choice fintype) mathcomp(bigop order ssralg ssrnum ssrint rat poly polydiv polyorder) mathcomp(perm matrix mxpoly polyXY binomial generic_quotient) mathcomp(cauchyreals separable zmodp bigenough)