proposition: Lemma cvgZ s f k a : s @ F --> k -> f @ F --> a -> s x *: f x @[x --> F] --> k *: a.
proof: Proof. by move=> ? ?; apply: continuous2_cvg => //; apply scale_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