proposition: Lemma pid_smithP m n (M : 'M[R]_(m,n)) : smith_spec M (pid_smith M).
proof: Proof. by rewrite /pid_smith; apply: gdco_smithP=> a b; case: (pid_gdco a b). Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat div seq path) mathcomp(ssralg fintype matrix mxalgebra bigop zmodp perm choice) dvdring mxstructure minor stronglydiscrete coherent edr