proposition: Lemma probability_range d (T : measurableType d) (R : realType) (P : probability T R) (X : {RV P >-> R}) : P (X @^-1` range X) = 1%E.
proof: Proof. by rewrite preimage_range probability_setT. 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