proposition: Lemma limZ s f : cvg (s @ F) -> cvg (f @ F) -> lim ((fun x => s x *: f x) @ F) = lim (s @ F) *: lim (f @ F).
proof: Proof. by move=> ? ?; apply: cvg_lim => //; 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