proposition: Lemma bigmax_ge_id P F : \big[max/x]_(i <- r | P i) F i >= x.
proof: Proof. by rewrite bigmax_idl. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(path fintype tuple bigop finset div prime finfun) mathcomp(finset)