proposition: Lemma symm_syms_partdom_int la : 'm[la] = 's[la] + \sum_(mu : 'PDom_d | (mu < la)%O) KostkaInv la mu *:'s[mu] :> SF.
proof: Proof. rewrite -(unitrig_sum1l (fun mu : 'PDom_d => 's[mu]) la (KostkaInv_unitrig d)). by rewrite -symm_syms_int. Qed.
imports: HB(structures) mathcomp(all_ssreflect) mathcomp(ssralg ssrint fingroup perm) mathcomp(ssrcomplements freeg mpoly) sorted tools ordtype permuted partition skewpart composition Yamanouchi std tableau stdtab skewtab permcent antisym Schur_mpoly therule Schur_altdef unitriginv