fact: Definition swap_set : {set 'I_(size x)} -> {set 'I_(size y)} := (fun S : {set 'I_(size x)} => [set cast_ord Hcast x | x in S]) \o swap_setX.
imports: mathcomp(all_ssreflect) mathcomp(perm) tools ordcast ordtype subseq partition tableau Yamanouchi stdtab Schensted congr plactic Greene