proposition: Lemma ncvgZ c u lu : ncvg u lu%:E -> ncvg (c \*o u) (c * lu)%:E.
proof: Proof. by move=> cu; apply/ncvgM => //; apply/ncvgC. Qed.
imports: mathcomp(all_ssreflect all_algebra) mathcomp.bigenough.bigenough mathcomp.classical(boolp classical_sets functions) mathcomp.classical(mathcomp_extra) xfinmap ereal reals discrete topology