proposition: Lemma dim_homsym : \dim (fullv (vT := HSF)) = #|{:'P_d}|.
proof: Proof. Proof using Hd. by rewrite dimvf /=; apply eq_card; apply basis_homsym. Qed.
imports: HB(structures) mathcomp(all_ssreflect) mathcomp(ssralg matrix vector ssrnum algC archimedean) mathcomp(fingroup perm) mathcomp(ssrcomplements freeg mpoly) tools sorted ordtype permuted partition permcent antisym Schur_mpoly Schur_altdef sympoly