proposition: Lemma div_annihilant_algcreal_neq0 (x y : algcreal) : (annul_creal y).[0] != 0 -> div_annihilant (annul_creal x) (annul_creal y) != 0.
proof: Proof. by move=> ?; rewrite div_annihilant_neq0 ?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)