proposition: Lemma root_sub_algcreal (x y : algcreal) : ((sub_annihilant (annul_creal x) (annul_creal y)).[x - y] == 0)%CR.
proof: Proof. by rewrite root_sub_annihilant_creal ?root_annul_creal ?monic_neq0. 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)