proposition: Lemma bigmaxIr (A B : {set I}) F : \big[max/x]_(i in B) F i >= \big[max/x]_(i in A :&: B) F i.
proof: Proof. by under eq_bigl do rewrite setIC; apply: bigmaxIl. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(path fintype tuple bigop finset div prime finfun) mathcomp(finset)