proposition: Lemma approxRN_seq_prop : forall m, g_ m \in approxRN /\ \int[mu]_x (g_ m x) > M - m.+1%:R^-1%:E.
proof: Proof. exact: (projT2 approxRN_seq_ex). Qed.
imports: mathcomp(all_ssreflect ssralg ssrnum ssrint interval) mathcomp(finmap fingroup perm rat) mathcomp(mathcomp_extra boolp classical_sets cardinality) mathcomp(functions fsbigop set_interval) HB(structures) reals ereal signed topology numfun normedtype sequences esum measure realfun lebesgue_measure lebesgue_integral