proposition: Lemma max_approxRN_seq_nd x : nondecreasing_seq (F_ ^~ x).
proof: Proof. by move=> a b ab; rewrite (le_bigmax_ord xpredT (g_ ^~ x)). 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