proposition: Lemma is_cvgeMl f y : y \is a fin_num -> cvg (f @ F) -> cvg ((fun n => y * f n) @ F).
proof: Proof. by move=> fy /(cvgeMl fy)/cvgP. 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