proposition: Lemma expectation_indic (A : set T) (mA : measurable A) : 'E_P[\1_A] = P A.
proof: Proof. by rewrite unlock integral_indic// setIT. Qed.
imports: mathcomp(all_ssreflect) mathcomp(ssralg poly ssrnum ssrint interval finmap) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(cardinality) HB(structures) exp numfun lebesgue_measure lebesgue_integral reals ereal signed topology normedtype sequences esum measure exp numfun lebesgue_measure lebesgue_integral