proposition: Lemma bigmax_set1 j F : \big[max/x]_(i in [set j]) F i = max (F j) x.
proof: Proof. exact: big_set1E. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(path fintype tuple bigop finset div prime finfun) mathcomp(finset)