proposition: Lemma cvgeMl f x y : y \is a fin_num -> f @ F --> x -> (fun n => y * f n) @ F --> y * x.
proof: Proof. by move: y => [r| |]// _ /cvg_comp; apply; exact: mule_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