proposition: Lemma caratheodory_measurable_mu_ext d (R : realType) (T : measurableType d) (mu : {measure set T -> \bar R}) A : d.-measurable A -> mu^*.-cara.-measurable A.
proof: Proof. by move=> Am; apply: sub_caratheodory => //; apply: sub_sigma_algebra. 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)