proposition: Lemma expectation_cst r : 'E_P[cst r] = r%:E.
proof: Proof. by rewrite unlock/= integral_cst//= probability_setT mule1. 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