proposition: Lemma map_mx_inv_horner u : fp (mx_inv_horner A u) = mx_inv_horner A^f u^f.
proof: Proof. rewrite map_rVpoly map_mxM map_mxvec map_pinvmx map_powers_mx. by rewrite /mx_inv_horner degree_mxminpoly_map. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(div fintype tuple finfun bigop fingroup perm) mathcomp(ssralg zmodp matrix mxalgebra poly polydiv)