proposition: Lemma caratheodory_measure0 : mu (set0 : set U) = 0.
proof: Proof. exact: outer_measure0. Qed.
imports: mathcomp(all_ssreflect all_algebra finmap) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(cardinality fsbigop ) reals ereal signed topology normedtype sequences esum numfun HB(structures)