proposition: Lemma continuousZ s f x : {for x, continuous s} -> {for x, continuous f} -> {for x, continuous (fun x => s x *: f x)}.
proof: Proof. by move=> ? ?; apply: cvgZ. 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