proposition: Lemma yamtab_rows_size innev row : forall res shape, (res, shape) \in yamtab_rows innev row -> size res = size row.
proof: Proof. Proof using . elim: row innev => [| r0 tlr IHrow] /= innev res shape. by rewrite mem_seq1 => /eqP[->]. move/flatten_mapP => [[rec shrec]] /(IHrow innev) {IHrow} <-. by move/mapP => [i Hi [-> _]]. Qed.
imports: mathcomp(all_ssreflect) mathcomp(ssralg) mathcomp(mpoly) tools combclass partition Yamanouchi ordtype tableau skewtab Schur_mpoly freeSchur therule