  It is shown that the Mayer-Vietoris sequence holds for the cohomology of
complexes of Lie algebroids which are defined on simplicial complexes and
satisfy the compatibility condition concerning restrictions to the faces of
each simplex. The Mayer-Vietoris sequence will be obtained as a consequence of
the extension lemma for piecewise smooth forms defined on complexes of Lie
algebroids.
