proposition: Lemma __deprecated__cvg_dist0 {U} {K : numFieldType} {V : normedModType K} {F : set_system U} {FF : Filter F} (f : U -> V) : (fun x => `|f x|) @ F --> (0 : K) -> f @ F --> (0 : V).
proof: Proof. exact: norm_cvg0. 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