proposition: Lemma sintegral0 : sintegral mu (cst 0%R) = 0.
proof: Proof. rewrite sintegralE fsbig1// => r _; rewrite preimage_cst. by case: ifPn => [/[!inE] <-|]; rewrite ?mul0e// measure0 mule0. Qed.
imports: HB(structures) mathcomp(all_ssreflect ssralg ssrnum ssrint interval finmap) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(cardinality fsbigop ) signed reals ereal topology normedtype sequences real_interval esum measure lebesgue_measure numfun