proposition: Theorem generalized_Boole_inequality (A : (set T) ^nat) : (forall i, measurable (A i)) -> measurable (\bigcup_n A n) -> mu (\bigcup_n A n) <= \sum_(i <oo) mu (A i).
proof: Proof. by move=> Am UAm; rewrite measure_sigma_sub_additive. 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)