fact: Definition bnd_simp := (BLeft_ltE, BRight_leE, BRight_BLeft_leE, BLeft_BRight_ltE, BRight_BSide_ltE, BLeft_BSide_leE, BSide_ltE, BSide_leE, BInfty_leE, BInfty_geE, BInfty_BInfty_ltE, BInfty_le_eqE, BInfty_ge_eqE, BInfty_ltE, BInfty_gtE, BInfty_ltF, BInfty_gtF, @lexx _ T, @ltxx _ T, @eqxx T).
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq choice) mathcomp(div fintype bigop order ssralg finset fingroup) mathcomp(ssrnum)