proposition: Lemma cvg_abse f (a : \bar R) : f @ F --> a -> `|f x|%E @[x --> F] --> `|a|%E.
proof: Proof. by apply: continuous_cvg => //; apply: abse_continuous. 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