proposition: Lemma is_cvgM f g : cvg (f @ F) -> cvg (g @ F) -> cvg (f \* g @ F).
proof: Proof. exact: is_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