proposition: Lemma le_bigmax F j : F j <= \big[max/x]_i F i.
proof: Proof. exact: le_bigmax_cond. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(path fintype tuple bigop finset div prime finfun) mathcomp(finset)