proposition: Lemma caratheodory_measurable_set0 : M set0.
proof: Proof. by move=> X /=; rewrite setI0 outer_measure0 add0e setC0 setIT. 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)