proposition: Lemma non_0_cw_mem : non_0_cw \in C.
proof: Proof. by rewrite /non_0_cw; case/andP: (xchooseP C_not_trivial). Qed.
imports: mathcomp(all_ssreflect ssralg poly polydiv fingroup perm) mathcomp(finalg zmodp matrix mxalgebra mxpoly vector) ssr_ext ssralg_ext poly_ext f2 hamming decoding channel_code