proposition: Lemma syms_syme mu : 's[mu^~] = \sum_(la : 'P_d) 'K^-1(la, mu) *: 'e[la] :> SF.
proof: Proof. rewrite -(map_syms intr) syms_syme_int. rewrite rmorph_sum /=; apply eq_bigr => i _. by rewrite linearZ_LR /= map_syme_prod. 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