proposition: Lemma bigmax_mkcond P F : \big[max/x]_(i <- r | P i) F i = \big[max/x]_(i <- r) if P i then F i else x.
proof: Proof. by rewrite big_mkcond_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)