proposition: Lemma bigmax_split P F1 F2 : \big[max/x]_(i <- r | P i) (max (F1 i) (F2 i)) = max (\big[max/x]_(i <- r | P i) F1 i) (\big[max/x]_(i <- r | P i) F2 i).
proof: Proof. by rewrite big_split_idem //= maxxx. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(path fintype tuple bigop finset div prime finfun) mathcomp(finset)