proposition: Lemma complex_root_conj (p : {poly R[i]}) (x : R[i]) : root (map_poly conjc p) x = root p x^*.
proof: Proof. by rewrite /root -{1}[x]conjcK horner_map /= conjc_eq0. Qed.
imports: HB(structures) mathcomp.ssreflect.ssreflect mathcomp(ssrfun ssrbool eqtype ssrnat seq choice fintype) mathcomp(bigop order ssralg ssrint div ssrnum rat poly closed_field) mathcomp(polyrcf matrix mxalgebra tuple mxpoly zmodp binomial realalg) mathcomp(mxpoly)