proposition: Lemma cvg_norm f a : f @ F --> a -> `|f x| @[x --> F] --> (`|a| : K).
proof: Proof. by apply: continuous_cvg; apply: norm_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