proposition: Lemma continuous_measurable_fun (f : R -> R) : continuous f -> measurable_fun setT f.
proof: Proof. by move=> cf; apply: open_continuous_measurable_fun => //; exact: openT. Qed.
imports: mathcomp(all_ssreflect ssralg ssrnum ssrint interval) mathcomp(finmap fingroup perm rat) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(cardinality fsbigop) reals ereal signed topology numfun normedtype HB(structures) sequences esum measure real_interval realfun exp lebesgue_stieltjes_measure