proposition: Lemma charge0 nu : nu set0 = 0.
proof: Proof. have /[!big_ord0] ->// := @charge_semi_additive _ _ _ nu (fun=> set0) 0%N. exact: trivIset_set0. Qed.
imports: mathcomp(all_ssreflect ssralg ssrnum ssrint interval) mathcomp(finmap fingroup perm rat) mathcomp(mathcomp_extra boolp classical_sets cardinality) mathcomp(functions fsbigop set_interval) HB(structures) reals ereal signed topology numfun normedtype sequences esum measure realfun lebesgue_measure lebesgue_integral