proposition: Lemma skew_field_dimS A B : (A <= B)%VS -> \dim A %| \dim B.
proof: Proof. by move=> sAB; rewrite skew_field_module_dimS ?prodv_sub. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq path) mathcomp(choice fintype div tuple finfun bigop ssralg) mathcomp(finalg zmodp matrix vector poly)