  Mittag-Leffler condition ensures the exactness of the inverse limit of short
exact sequences indexed on a partially ordered set $(I,\leq)$ admitting a
$countable$ cofinal subset. We extend Mittag-Leffler condition by relatively
relaxing the countability assumption. As an application we prove an ultrametric
analogous of a result of V.P.Palamodov in relation with the acyclicity of
Frechet spaces with respect to the completion functor.
