proposition: Lemma cvgr_to_le f a b : f @ F --> a -> (\near F, f F <= b) -> a <= b.
proof: Proof. by move=> /[swap]/(closed_cvg _ (@closed_le _ b))/[apply]. Qed.
imports: HB(structures) mathcomp(all_ssreflect ssralg ssrint ssrnum finmap matrix) mathcomp(rat interval zmodp vector fieldext falgebra) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(cardinality set_interval Rstruct) ereal reals signed topology prodnormedzmodule