proposition: Lemma map_capmx_gen m1 m2 n (A : 'M_(m1, n)) (B : 'M_(m2, n)) : (capmx_gen A B)^f = capmx_gen A^f B^f.
proof: Proof. by rewrite map_mxM map_lsubmx map_kermx map_col_mx. Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq choice) mathcomp(fintype finfun bigop finset fingroup perm order) mathcomp(div prime binomial ssralg finalg zmodp matrix)