proposition: Lemma lim_norm f : cvg (f @ F) -> lim ((fun x => `|f x| : K) @ F) = `|lim (f @ F)|.
proof: Proof. by move=> ?; apply: cvg_lim => //; apply: cvg_norm. 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